The type of sampling used in this scenario is cluster sampling. This is because the researcher selects five specific cruises to survey, rather than randomly selecting individual passengers from all cruises. The passengers on each of the selected cruises represent a cluster, and the researcher surveys all of them.
Cluster sampling is often used when it is not feasible to sample every individual in a population, but it is possible to identify and sample specific groups or clusters within the population.
Here's a step-by-step explanation:
1. The travel industry researcher selects five cruises randomly. This random selection is the first stage of cluster sampling.
2. The researcher interviews all passengers on these selected cruises, which forms the clusters (groups) in this sampling method.
3. By interviewing every passenger within the chosen clusters, the researcher gathers data for the study.
Cluster sampling is chosen when it's more practical and cost-effective to study specific groups within a population, rather than trying to reach every individual using simple random, convenience, systematic, or stratified sampling. In this case, the clusters are the cruises, and all passengers within those cruises are interviewed.
To learn more about sampling : brainly.com/question/11045407
#SPJ11
Which statement is true about the ordered pair (3 , 4)?
To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. So correct option is C.
Describe Ordered Pairs?In mathematics, an ordered pair is a pair of mathematical objects or values, written in a specific order. The two objects can be numbers, coordinates, points, or any other mathematical entity. An ordered pair is written in parentheses, separated by a comma. For example, (3, 5) is an ordered pair of two numbers, where 3 is the first element and 5 is the second element.
The order of the elements in an ordered pair is important, as it indicates which element represents the first coordinate or value, and which element represents the second. In many cases, ordered pairs are used to represent points in a coordinate plane, where the first element represents the x-coordinate and the second element represents the y-coordinate. For example, the ordered pair (3, 5) represents a point that is 3 units to the right on the x-axis and 5 units up on the y-axis from the origin.
To plot the ordered pair (3,4) on a coordinate plane, we need to move 3 units to the right on the x-axis and 4 units up on the y-axis from the origin (0,0). Therefore, the correct statement is:
C. To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
To know more about coordinate visit:
https://brainly.com/question/29227996
#SPJ1
The complete question is:
Which statement is true about the ordered pair (3 , 4)?
A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.
B. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.
C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
D. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.
Can someone help me in this?
Answer:
18
Step-by-step explanation:
Since it is an equilateral triangle AB=AC=5
If I sum up all sides u will get 18. How this helps.
At midnight, the temperature in a city was 5 degrees celsius. The temperature was dropping at a steady rate of 2 degress celsius per hour. Write an inequalty that represents t, the number of hours past midnight, when the temperature was coler than -4 degrees celsius
( 5 - 2t ) < - 4 is an inequalty that represents t, the number of hours past midnight, when the temperature was coler than -4 degrees celsius.
What is linear equation?
An algebraic equation with simply a constant and a first- order( direct) element, similar as y = mx b, where m is the pitch and b is the y- intercept, is known as a linear equation.
The below is sometimes appertained to as a" direct equation of two variables," where y and x are the variables. Equations whose variables have a power of one are called direct equations. One illustration with only one variable is where layoff b = 0, where a and b are real values and x is the variable.
The midnight temperature is 5 °C and the temperature is decreasing at the rate of 2°C per hour.
If t is the hours past midnight then after t hours the temperature will be ( 5 - 2t ).
Now, if this temperature is colder than - 4° C, then the inequality can be written as ( 5 - 2t ) < - 4.
Learn more about Linear equation
brainly.com/question/11897796
#SPJ1
The inequality that represents t, the number of hours past midnight, when the temperature was cooler than -4 degrees celsius( 5 - 2t ) < - 4
What is inequality?
The term "inequality" is used in mathematics to describe a relationship between two expressions or values that is not equal to one another. Inequality results from a lack of balance. When two quantities are equal, we use the symbol '=', and when they are not equal, we use the symbol. If two values are not equal, the first value can be greater than (>) or less than (), or greater than equal to () or less than equal to ().
The midnight temperature is 5 °C and the temperature is decreasing at the rate of 2°C per hour.
If t is the hours past midnight then after t hours the temperature will be
=> ( 5 - 2t ).
Now, if this temperature is colder than - 4° C, then the inequality can be written as ( 5 - 2t ) < - 4.
To learn more about inequality refer the below link
https://brainly.com/question/25275758
#SPJ1
When you went to know the mass of a bowling ball what unit do you choose
Standard unit chose to measure the mass of a bowling ball is equal to kilogram .
The unit typically used to measure the mass of a bowling ball is the pound (lb) or the kilogram (kg).
It depends on the country as different countries have different standard unit for measuring mass.
In the United States, the weight of a bowling ball is often measured in pounds.
While in many other countries, the weight is measured in kilograms.
When measuring the mass of a bowling ball,
It is important to use a calibrated scale that is designed to handle the weight of the ball.
Some scales are specifically designed for weighing bowling balls.
And they may have a higher weight capacity than a typical bathroom scale.
It is also important to ensure that the scale is on a flat, stable surface to ensure an accurate measurement.
learn more about mass here
brainly.com/question/9497577
#SPJ4
if a garden box is 4x by 3x and the area of the box in square feet is equal to four times the perimeter in feet what is the value for x that satisfies these requirements
The answer to this question is x = 6
a biologist claims that nearly 45 percent of all americans have brown eyes. a random sample of n=60 mizzou students found 24 with brown eyes. give the numerical value of the statistic p^
the sample proportion (p^) is 0.4 or 40%.
To calculate the sample proportion (p^) for the number of Mizzou students with brown eyes, use the following formula:
A set is a collection of objects or groups of objects. These objects are often called elements or members of a set. For example, a group of players in a cricket team is a set.
p = (number of students with brown eyes) / (total number of students in the sample)
In this case, there are 24 students with brown eyes out of a sample of 60 students. Therefore, the numerical value of the statistic p^ is:
[tex]p = \frac{24} { 60} = 0.4[/tex]
So, the sample proportion (p^) is 0.4 or 40%.
learn more about sample proportion
https://brainly.com/question/29912751
#SPJ11
The numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
To find the numerical value of the statistic p^ (sample proportion) for the given problem, you should follow these steps:
Identify the total number of students (n) in the sample, which is 60.
Identify the number of students with brown eyes (x), which is 24.
Calculate the sample proportion (p^) using the formula: p^ = x/n
Applying the formula:
p^ = 24/60
p^ = 0.4
So, the numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
for such more question on statistic
https://brainly.com/question/15525560
#SPJ11
isabel owns a mexican restaurant that serves aguas frescas, cold drinks often made with fresh fruit, isabel wants to know which flavor of agua fresca is the most popular with customers at her restaurant. which sampling method would provide the best representation of the consumer population at isabel's restaurant?
a. selecting every customer during one lunch hour
b. selecting every customer who responds to an online poll
c. selecting every 20th customer over the period of a month
d. selecting every 3rd customer who purchases agua fresca in one day
Option (c) selecting every 20th customer over the period of a month, known as systematic sampling, may be time-consuming and may not accurately capture the daily fluctuations in customer preferences.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x.
The best sampling method for Isabel to determine the most popular flavor of aguas frescas would be (d) selecting every 3rd customer who purchases aguas frescas in one day. This method, known as systematic sampling, ensures that the sample is randomly selected, while also allowing Isabel to collect data over a short period of time.
Option (a) selecting every customer during one lunch hour, may not provide a good representation of the entire customer population as customers who visit the restaurant during lunch hour may differ from those who visit at other times.
Option (b) selecting every customer who responds to an online poll would also not provide a good representation of the entire customer population as not all customers may have access to or be willing to respond to an online poll.
Option (c) selecting every 20th customer over the period of a month, known as systematic sampling, may be time-consuming and may not accurately capture the daily fluctuations in customer preferences.
To learn more about quadratic equation from the given link:
brainly.com/question/30098550
#SPJ1
Compute the missing data in the table for the following exponential function f (x) = (3) Superscript x. x 1 2 3 4 5 6 7 f(x) 3 9 ? 81 243 729 2187 a. 18 c. 32 b. 27 d. 45
The missing value in the table for the exponential function is 27.
An exponential function is a mathematical function of the form f(x) = a^x, where a is a positive constant called the base, and x is the variable.
To find the missing value in the table, we need to evaluate the exponential function f(x) = (3)^x for the missing value of x.
We can see that
f(1) = 3, f(2) = 9, f(4) = 81, f(5) = 243, f(6) = 729, and f(7) = 2187.
To find f(3), we can use the formula f(x) = (3)^x
f(3) = (3)^3 = 27
Therefore, the missing value is 27
Learn more about exponential function here
brainly.com/question/15352175
#SPJ4
Sammie’s Deli sells sandwiches that can be made with the ingredients listed on the board below. What is the probability that a customer will choose a sandwich on white bread with ham and either provolone or American cheese?
A- 1/6
B- 1/3
C- 1/4
D- 1/2
the probability of a customer choosing a sandwich on white bread with ham and either provolone or American cheese is 6/36, which simplifies to 1/6. Thus, option A is correct.
What is the probability?There are 3 bread options, 4 meat options, and 3 cheese options listed on the board, which gives us a total of [tex]3 \times 4 \times 3 = 36[/tex] possible sandwich combinations.
There are two cheese options that meet this criteria, so we can create two different sandwiches: one with provolone and one with American cheese.
Each of these sandwiches can be made in [tex]3 \times 1 \times 1 = 3[/tex] ways, as there are 3 bread options but only one option each for the ham and cheese. So, the total number of sandwich combinations that meet our criteria is [tex]2 \times 3 = 6.[/tex]
Therefore, the probability of a customer choosing a sandwich on white bread with ham and either provolone or American cheese is 6/36, which simplifies to [tex]1/6[/tex].
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
Suppose an earthquake can be felt up to 76 miles from its epicenter. You are located at a point 65 miles west and 40 miles south of the epicenter. Do you feel the earthquake?
The distance between your location and the epicenter is just slightly larger than the maximum distance that the earthquake can be felt (76 miles), so you would be able to feel the earthquake.
What is triangle?A triangle is a polygon with three sides and three angles. The sum of the angles in a triangle is always 180 degrees. There are different types of triangles such as equilateral, isosceles, scalene, right-angled, obtuse-angled, and acute-angled triangles. Triangles are used in geometry and other fields of mathematics to solve problems related to areas, angles, and side lengths.
Here,
Yes, you feel the earthquake.
To see why, imagine drawing a circle around the epicenter with a radius of 76 miles. This circle represents the maximum distance that the earthquake can be felt. Then, draw a line from the epicenter to your location. This line represents the distance between you and the epicenter.
To determine whether you feel the earthquake, we need to calculate the distance between your location and the epicenter using the Pythagorean theorem:
distance = √(65² + 40²)
distance ≈ 76.06 miles
To know more about triangle,
https://brainly.com/question/28600396
#SPJ1
julian rolled a normal 6-sided die 12 times. his rolls were as follows: 2, 4, 3, 3, 5, 1, 2, 6, 3, 1, 3, 5, 4. what is the probability that he will roll a 3 on the next roll?
The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.
Explanation
On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).
To find the probability, you can use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)
Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%
So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.
To learn more about probability : brainly.com/question/27292589
#SPJ11
Can someone help me on these last 3 question it’s 3,5 and 6 I js need help on these
The required area of the given triangle is 63 ft² respectively.
What is a triangle?A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon.
There are three sides and three angles in every triangle, some of which may be the same.
A unique triangle and plane (i.e., a two-dimensional Euclidean space) are determined by any three non-collinear points in Euclidean geometry.
In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
Area of a triangle:
1/2 * b * h
Now, insert values as follows:
1/2 * b * h
1/2 * 14 * 9
7 * 9
63 ft²
Therefore, the required area of the given triangle is 63 ft² respectively.
Know more about triangles here:
https://brainly.com/question/17335144
#SPJ1
I need to know what to fill out
The function is a linear function because as x increases, the y-value changes at a constant rate . The rate of change of this equation is 2.
How to find linear functions?The difference between linear and exponential functions is that Linear functions change at a constant rate per unit interval while an exponential function changes by a common ratio over equal intervals.
We are given the function table as:
(0, -3)
(1, -1)
(2, 1)
(3, 3)
Thus, we can see that as x increases, the y-value changes at a constant rate of + 2.
Read more about Linear Functions at: https://brainly.com/question/15602982
#SPJ1
Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 8 88 days and a standard deviation of 6 66 days. A biologist collects a random sample of 36 3636 of these male mosquitos and observes them to calculate the sample mean lifespan. What is the probability that the mean lifespan from the sample of 36 3636 mosquitos x ˉ x ˉ x, with, \bar, on top exceeds 10 1010 days? Choose 1 answer: Choose 1 answer: (Choice A) A P ( x ˉ > 10 ) ≈ 0. 02 P( x ˉ >10)≈0. 02P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 02 (Choice B) B P ( x ˉ > 10 ) ≈ 0. 14 P( x ˉ >10)≈0. 14P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 14 (Choice C) C P ( x ˉ > 10 ) ≈ 0. 25 P( x ˉ >10)≈0. 25P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 25 (Choice D) D P ( x ˉ > 10 ) ≈ 0. 37 P( x ˉ >10)≈0. 37P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 37 (Choice E) E We cannot calculate this probability because the sampling distribution is not normal
Given a sample of 36 male mosquitos of a species with a mean lifespan of 8.88 days and a standard deviation of 6.66 days, the probability of the sample mean lifespan exceeding 10 days is approximately 0.14. So, the correct choice is option B is P ( x ˉ > 10 ) ≈ 0. 14 P( x ˉ >10)≈0. 14P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 14.
The sampling distribution of the mean lifespan is approximately normal due to the Central Limit Theorem.
The standard error of the mean is 6.66 / sqrt(36) = 1.11. The z-score for a sample mean of 10 is (10 - 8.88) / 1.11 = 1.08. Using a standard normal distribution table or calculator, the probability of a z-score greater than 1.08 is approximately 0.14.
Therefore, the answer is Choice B is P(X > 10) ≈ 0.14.
To know more about Probability:
https://brainly.com/question/11234923
#SPJ4
PLEASE HELP AND EXPLAIN AND SHOW WORK ON HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST
Answer:
No, this triangle is NOT a right angle.
Step-by-step explanation:
The known fact is that the largest number is our hypotenuse. The other two numbers can go on either side.
A square plus B square equal C square is our equation
Let's plug in the numbers: 15^2+5^2=16^2
Now we solve.
Once we solve our squares and add them together, we get 250=256. Since these two number are not equal to each other, this triangle is NOT a right angle
much love to you.
17. Kade has $40 in savings and wants to purchase a video game console that costs $250 plus
8.25% sales tax. Kade wants to wait until he has enough in savings to cover the purchase. If Kade
saves $50 each week, what is the minimum number of weeks Kade should wait before making his
purchase?
A. 3 weeks
B. 4 weeks
C. 5 weeks
D. 7 weeks
The minimum number of weeks Kade should wait before making his purchase is 5 weeks.
Given that, Kade has $40 as his saving, and he wants to buy a video game console that costs $250 plus 8.25% sales tax.
He saves $50 each week to buy the same, we need to find the number weeks in which he can buy the game,
Total cost of the game = 250 + 250 × 8.25%
= 250 + 250 × 0.0825
= 250 + 20.625
= 270.625
Hence, he needs to save = $270.625 - $40 = $230.625
Let the number of weeks be x,
∴ 50x = 230.625
x = 4.61 ≈ 5
Hence, the minimum number of weeks Kade should wait before making his purchase is 5 weeks.
Learn more about percentage, click;
https://brainly.com/question/29306119
#SPJ1
At the shop shirts cost 45£ each Tim buys 3 shirts Craig buys 5
Answer:
Step-by-step explanation:
Tim shirts cost = 3*45
Craig shirts cost = 5*45
Total cost = 135+225
=360
4 out of 7 questions. PLEASE help me.
A tangent line is line GJ.
A secant line is line HF.
A chord is line GF.
What is the chord of a circle?In Mathematics and Geometry, the chord of a circle can be defined as a line segment that typically join any two (2) points on a circle. This ultimately implies that, a chord simply refers to the section of the line that is used for connecting two (2) separate points on a circle such as line GF.
What is a secant line?In Mathematics and Geometry, a secant line can be defined as a type of line that intersects the edge of a circle twice i.e it goes through the interior of the circle twice and intersects its boundary twice such as line HF.
In conclusion, a tangent line is a type of line that lies outside of a circle and intersects the edge of a circle exactly once i.e it touches the outside of the circle only once such as line GJ.
Read more on chord here: https://brainly.com/question/27695913
#SPJ1
A company makes 110 bags. 32 of the bags have buttons but no zips. 28 of the bags have zips but no buttons. 24 of the bags have neither zips nor buttons. How many bags have zips on them?
The number of bags that have zips on them is 28.
To solve this problem, we can use the principle of inclusion-exclusion.
First, we know that the total number of bags is 110.
Next, we know that 24 of the bags have neither zips nor buttons. Therefore, the number of bags that have either zips or buttons is 110 - 24 = 86.
We also know that 32 of the bags have buttons but no zips, and 28 of the bags have zips but no buttons.
To find the number of bags that have both zips and buttons, we can subtract the number of bags that have only buttons from the total number of bags with zips, or vice versa:
Number of bags with both zips and buttons = (Number of bags with zips) + (Number of bags with buttons) - (Number of bags with either zips or buttons)
Number of bags with both zips and buttons = 28 + 32 - 86 = -26
This result is clearly nonsensical, so we can conclude that there are no bags with both zips and buttons.
Therefore, the number of bags that have zips on them is simply the number of bags with zips but no buttons, which is 28.
Learn more about principle of inclusion-exclusion here
brainly.com/question/27975057
#SPJ4
andy collects rocks. The lengths of the rocks are shown below
rock 1,2,3,4,5,6 length (inches) 2 7/8,3 1/2,2 7/8,2 1/8,2 1/8,2 4/8
use a data line to make a line plot
please help im struggling
A line plot is a type of graph that displays data points as dots or markers connected by straight lines. The resultant line plot is given below.
What is a line plot:A line plot, also known as a dot plot, is a simple way to display data that consists of a number of discrete points. It is a one-dimensional graph that uses dots or Xs to represent individual data points. Each dot or X represents a single data point, and the number of dots or X's at a given location on the line represents the frequency or count of that data point.
Here we have
Andy collects rocks and the lengths of the rocks
Rock 1 2 3 4 5 6
length (in) 2 7/8, 3 1/2, 2 7/8, 2 1/8, 2 1/8, 2 4/8
For simple calculations convert the given fractions into Improper fractions and then into decimal numbers
2 7/8 = 23/8 = 2.875
3 1/2 = 7/8 = 0.875
2 7/8 = 23/8 = 2.875
2 1/8 = 17/8 = 2.125
2 1/8 = 17/8 = 2.125
2 4/8 = 20/8 = 2.5
Now use the coordinates (1, 2.875) (2, 0.875) (3, 2.875) (4, 2.125) (5, 2.125) and (6, 2.5) to plot the line
Therefore,
A line plot is a type of graph that displays data points as dots or markers connected by straight lines. The resultant line plot is given below.
Learn more about Line plot
https://brainly.com/question/11844514
#SPJ1
the product of three distinct positive integers is 144. if the sum of the three integers is 26, what is the sum of their squares?
We can then check the sum of each set of three integers and see which one adds up to 26. We find that the set 2, 8, 16 has a sum of 26, so these are the three distinct integers that multiply to 144.Therefore, the sum of the squares of the three integers is 324.
To solve this problem, we can start by listing all the factors of 144 and looking for three distinct integers that multiply to 144. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. We can eliminate any factor that is not a positive integer or is repeated, leaving us with the following possibilities:
- 1, 2, 72
- 1, 3, 48
- 1, 4, 36
- 1, 6, 24
- 2, 3, 24
- 2, 4, 18
- 2, 8, 9
- 3, 4, 12
- 3, 6, 8
To find the sum of their squares, we simply square each integer and add them together:
2² + 8² + 16² = 4 + 64 + 256 = 324
Learn more about positive integer here:
https://brainly.com/question/26051073
#SPJ11
The sum of the squares of the three distinct positive integers is 589.
Let's denote the three distinct positive integers as a, b, and c. We know the following:
1. a * b * c = 144
2. a + b + c = 26
Our goal is to find the sum of their squares, i.e.,[tex]a^2 + b^2 + c^2.[/tex]
Find the prime factorization of 144. It is [tex]2^4 * 3^2[/tex]
We need to find three distinct factors of 144 that add up to 26.
By analyzing the factors, we find that the integers are 2, 3, and 24.
Calculate the sum of their squares:
[tex]a^2 + b^2 + c^2 = 2^2 + 3^2 + 24^2 = 4 + 9 + 576 = 589[/tex].
For similar question on squares.
https://brainly.com/question/29801960
#SPJ11
Change 95. 61 to degrees,minutes and seconds
95.61 degrees is equal to 95 degrees, 36 minutes, and 36 seconds or 95° 36' 36".
To convert decimal degrees to degrees, minutes, and seconds
The whole number of the decimal degree will be the degrees
Multiply the decimal part that remains by 60. The whole number of the result will be the minutes.
Multiply the decimal part that remains by 60. The resulting number will be the seconds.
So for 95.61 degrees
The whole number of 95.61 is 95 degrees.
Multiply 0.61 by 60 to get 36.6. The whole number of 36.6 is 36 minutes.
Multiply 0.6 by 60 to get 36 seconds.
Therefore, 95.61 degrees is equal to 95 degrees, 36 minutes, and 36 seconds.
In the format of degrees, minutes, and seconds: 95° 36' 36"
Learn more about decimal degrees here
brainly.com/question/31458768
#SPJ4
Please help me I do not understand what to do
The measure of angle B in the right-angled triangle ACB is 63 degrees.
What is a triangle ?
A triangle is a polygon with three sides, three vertices, and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angle measures.
In a right-angled triangle, the sum of the two acute angles is always equal to 90 degrees. Therefore, we can find the measure of angle B in the right-angled triangle ACB by subtracting the measure of angle A and the right angle from 90 degrees.
Given that [tex]\angle A = 27^\circ[/tex], we can find the measure of angle B as follows:
[tex]\angle B = 180^\circ - \angle A - \angle C[/tex]
Since the triangle is right-angled at C, we know that [tex]\angle C = 90^\circ[/tex]. Therefore, we can substitute the values of [tex]\angle A[/tex] and [tex]\angle C[/tex] in the equation above to get:
[tex]\angle B = 180^\circ - 27^\circ - 90^\circ[/tex]
Simplifying this expression, we get:
[tex]\angle B = 63^\circ[/tex]
Therefore, the measure of angle B in the right-angled triangle ACB is 63 degrees.
To learn more about polygon visit the link :
https://brainly.com/question/24464711
#SPJ1
A tree in Abdul's backyard grows 0.9 meters each month.If the tree is 5.76 meters tall,for how many months has the tree been growing?
Answer:
the tree has been growing for about 6 months and 12 days
Step-by-step explanation:
5.76/0.9 = 6.4
Please help me with these 4 questions
The total surface area of each figure are:
1) 2,557.3 yd²
2) 601.02 m₂
3) 3782.5 mm²
4)750 in²
How to find the total surface area?1) The total surface area of a cylinder is:
2πrh + 2πr².
where:
r is radius
h is height
Thus:
TSA = 2π(11 * 26) + 2π(11)²
TSA = 2π(286) + 2π(121)
TSA = 2π(407)
TSA = 2,557.3 yd²
2) The total surface area is:
2(¹/₂ * 9 * 11.12) + (16 * 15) + (16 * 12) + (9 * 16)
= 25.02 + 240 + 192 + 144
= 601.02 m₂
3) The total surface area of a cylinder is:
2πrh + 2πr².
where:
r is radius
h is height
Thus:
TSA = 2π(14 * 29) + 2π(14)²
TSA = 2π(406) + 2π(196)
TSA = 2π(602)
TSA = 3782.5 mm²
4) The total surface area of the pyramid is:
TSA = (15 * 8) + (21 * 17) + (21 * 15) + (8 * 21)
TSA = 120 + 147 + 315 + 168
TSA = 750 in²
Read more about Total Surface Area at: https://brainly.com/question/27812847
#SPJ1
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
Therefore , the solution of the given problem of unitary method comes out to be there were approximately 557 principals present.
What is an unitary method?To complete the assignment, use the iii . -and-true basic technique, the real variables, and any pertinent details gathered from basic and specialised questions. In response, customers might be given another opportunity to sample expression the products. If these changes don't take place, we will miss out on important gains in our knowledge of programmes.
Here,
Let's determine the principals' proportion to everyone else in the display room:
=> Number of principals divided by the total number of visitors to the display room =
=> 52/70 (number of principals / total number of visitors).
to determine the approximate number of principals present at the conference:
Estimated number of principals attending the conference = Principals as a percentage of all attendees in the exhibit hall * Total attendees =
=> (52 / 70) * 750
=> 557 principals are expected to have attended the meeting.
As a result, it is possible to forecast that there were approximately 557 principals present at the meeting,
which corresponds to the response option "There were approximately 557 principals present."
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
a cab was involved in a hit and run accident at night. two cab companies, the green and the blue, operate in the city. 85% of the cabs in the city are green and 15% are blue. a witness identified the cab as blue. the court tested the reliability of the witness under the same circumstances that existed on the night of the accident and concluded that the witness correctly identified each one of the two colors 80% of the time and failed 20% of the time. what is the probability that the cab involved in the accident was blue rather than green knowing that this witness identified it as blue?
From Bayes' Theorem, an events related to involved in a hit and run accident at night. The required probability that the blue cab involved in accident rather than green as well as witness also identified it as blue cab is equals to the 0.41 or 41% .
Bayes' Theorem states that the conditional probability of an event, is based on the occurrence of another event, is equal to the likelihood of the second event the first event multiplied by the probability of the first event. According to scenario, it is found that a cab was involved in a hit and run accident at night. Number of cab companies operates in city = 2 ( blue and green)
Probability that green cab involved in accident, P(G) = 85% = 0.85
Probability that blue cab involved in accident, P( B) = 15% = 0.15
Now, the cab which is identified by witness was a blue cab and after identification court also tested the witness's credibility. Here, probability that witness is correct to identification a blue cab = P(W/B) = 0.80
Probability that witness is wrong to identify the blue cab = P(W/G)
= 0.20
Using the Baye's theorem, Probability that accident was caused by blue cab provided witness identifies is, [tex]P( B/W) = \frac{ P(B ∩W )}{ P( W)} = \frac{ P( B) P( W/B)}{ P( W)} \\ [/tex]
Total Probability, P(W) = P(B)P(W/B) + P(G)P(W/G)
= 0.15 × 0.8 + 0.85 × 0.2 = 1.2 + 1.7 = 2.9
P(B/W) = (0.15 × 0.8)/2.9
= 1.2/2.9 = 0.41 = 41%
Hence, required probability value is 41%.
For more information about Bayes' Theorem, visit :
https://brainly.com/question/29546122
#SPJ4
1. A trapezoid is defined as a quadrilateral with only 2 parallel sides. An
isosceles trapezoid is defined as a trapezoid with the non-parallel sides being
congruent. Prove that the base angles on an isosceles trapezoid (
are congruent.
Answer:
A trapezoid is defined as a quadrilateral with only 2 parallel sides. An
isosceles trapezoid is defined as a trapezoid with the non-parallel sides being
congruent. Prove that the base angles on an isosceles trapezoid ( are congruent
Harrison expanded the square flower garden in his backyard. He made one side 3 feet longer and the other side 6 feet longer. The expanded rectangular flower garden has an area of 148 square feet. Use the drop-down menus to write an equation to model this situation
The equation to model the situation given in the question is (x+3)(x+6) = 148.
Let's assume that the original length and width of the square flower garden were "x". When Harrison expanded the garden, the new length became "x+3" and the new width became "x+6".
The area of a rectangle is given by the formula A = L × W, where A is the area, L is the length, and W is the width. Therefore, the area of the expanded rectangular flower garden is:
A = (x+3)(x+6)
We know that the area of the expanded rectangular flower garden is 148 square feet. So we can set up an equation:
(x+3)(x+6) = 148
{When we solve this equation using the quadratic formula we get x values:
x ≈ 8.2 and x ≈ -17.2 but we know x is the side of the garden so it cannot be negative, therefore, x = 8.2 unit}
This is the equation that models the situation described in the problem.
Therefore, the equation to model this situation is (x+3)(x+6) = 148.
To learn more about the quadratic formulas:
https://brainly.com/question/11540485
#SPJ4
A line that includes the points (–9,–5) and (j,3) has a slope of 8/7. What is the value of j?
Answer:
We can use the slope formula to find the value of j. The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-9, -5) and (x2, y2) = (j, 3). We are given that the slope is 8/7, so we can substitute these values into the slope formula and solve for j:
8/7 = (3 - (-5)) / (j - (-9))
8/7 = 8 / (j + 9)
8(j + 9) = 7(8)
8j + 72 = 56
8j = -16
j = -2
Therefore, the value of j is -2.