The following data points represent the number of points the Hawaii Eagles football team scored each game.
17, 33,28,23,10,42,3
Using the data, create and histogram
Answers
The class intervals are given as:
0 - 15 15-30 30-45
2 3 2
What is a Histogram?A histogram is a graphical representation of the distribution of numerical data. It is a way of summarizing the shape and spread of a set of continuous data values into a series of bins or intervals.
The histogram is a bar graph-like representation of the data, where the data is grouped into intervals or bins on the horizontal axis and the frequency or count of observations falling into each bin is represented by the height of the bar on the vertical axis.
Each value is grouped into one of three ranges, 0-15, 15-30, 30-45, once we know how many values are in each group, we can graph it.
The class intervals are given as:
0 - 15 15-30 30-45
2 3 2
The histogram is provided below:
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Related Questions
if y varies directly as x, and y=7 when x=3, find when x=7
Answers
By definition, direct variation takes the following form:
y=kx
Where k is the proportionality constant.
You can find k given the information in the problem:
7=3k
k=3/7
You can now find y when x=7 as follows:
y=(7*3)
Values can be substituted. Then:
y=(7*7)/3
y=49/3
If y varies directly from x, then the value of y = 49/3 when x = 7.
If y varies directly from x, we can write its relationship in the form of the equation below :
y = m*x
Where m is the slope of the line on the graph.
From the given data:
y=7
x=3,
We can substitute these values in the above equation and find m :
7 = m*3
m = 7/3
So, the equation can also be written as follow:
y = 7/3 x
Finding y when x=7, then substituting the x value in the above equation we get:
y = (7/3)*(7)
y = 49/3
Therefore the value of the y = 49/3.
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Any number that can be written as a decimal, write as a decimal to the tenths place.
Given A = (-3,2) and B = (7,-10), find the point that partitions segment AB in a 1:4 ratio.
The point that partitions segment AB in a 1:4 ratio is (
).
Answers
The point that partitions segment AB in a 1:4 ratio is [tex]P = \left(-1, -\frac{2}{5}\right)$[/tex].
How to find the ratio?To find the point that partitions segment AB in a 1:4 ratio, we can use the section formula.
Let P = (x, y) be the point that partitions segment AB in a 1:4 ratio, where AP:PB = 1:4. Then, we have:
[tex]$\frac{AP}{AB} = \frac{1}{1+4} = \frac{1}{5}$$[/tex]
and
[tex]$\frac{PB}{AB} = \frac{4}{1+4} = \frac{4}{5}$$[/tex]
Using the distance formula, we can find the lengths of AP, PB, and AB:
[tex]AP &= \sqrt{(x+3)^2 + (y-2)^2} \\PB &= \sqrt{(x-7)^2 + (y+10)^2} \\\ AB &= \sqrt{(7+3)^2 + (-10-2)^2} = \sqrt{244}[/tex]
Substituting these into the section formula, we have:
[tex]$\begin{aligned}x &= \frac{4\cdot(-3) + 1\cdot(7)}{1+4} = -1 \ y &= \frac{4\cdot2 + 1\cdot(-10)}{1+4} = -\frac{2}{5}\end{aligned}$$[/tex]
Therefore, the point that partitions segment AB in a 1:4 ratio is [tex]P = \left(-1, -\frac{2}{5}\right)$[/tex].
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A candy store uses 10. 3 grams of sugar each hour. How many grams of sugar will the store use in 10 hours?
Answers
The candy store will use 103 grams of sugar in 10 hours.
To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).
To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.
We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.
So the calculation would be:
10.3 grams/hour x 10 hours = 103 grams
Therefore, the candy store will use 103 grams of sugar in 10 hours.
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in a congressional district, 55% of the registered voters are democrats. which of the following is equivalent to the probability of getting less than 50% democrats in a random sample of size 100?
A. P( z< 50 — 55/ 100 )
B. P( z< 50 — 55/ √55(45)/100)
C. P( z< 55 — 5 / √55(45)/100)
D. P( z< 50 — 55/√100(55) (45))
Answers
The correct answer to the question, "Which of the following is equivalent to the probability of getting less than 50% democrats in a random sample of size 100?" is: B. P( z < 50 — 55/ √55(45)/100).
To find the probability, we first calculate the z-score using the formula:
z = (x - μ) / σ
where x is the value (50%), μ is the mean (55%), and σ is the standard deviation.
The standard deviation can be calculated as:
σ = √(np(1-p))
where n is the sample size (100) and p is the proportion of democrats (0.55).
Now, plug in the values into the z-score formula:
z = (50 - 55) / √(100 * 0.55 * 0.45)
The probability is then found as P(z < z-score), which is represented by the option B.
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in a test measuring the life span of a certian brand of tire, 100 tires are tested. the results showed an averaged lifetime of 50,000 miles, with a standard deviation of 5,000 miles. estimate the 95% confidence interval on the mean: 50,000 - miles (round up all decimal places)
Answers
We can say with 95% confidence interval that the true mean lifetime of the tires is between 49,020 and 50,980 miles.
To calculate the confidence interval, we use the formula:
CI = x-bar ± z* (σ/√n)
where x-bar is the sample mean (50,000 miles), z is the z-score associated with the desired confidence level (in this case, 1.96 for 95% confidence level), σ is the standard deviation (5,000 miles), and n is the sample size (100).
Plugging in the values, we get:
CI = 50,000 ± 1.96*(5,000/√100)
Simplifying the expression, we get:
CI = 50,000 ± 980.
Therefore, we can say with 95% confidence that the true mean lifetime of the tires is between 49,020 and 50,980 miles.
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at the farmers market there is a large pile of small cauliflowers. the mean weight of these cauliflowers is 400 grams with a standard deviation of 20 grams. assume the weight of theses cauliflowers is normally distributed. which has a greater probability, the mean weight of an individual cauliflower being between 400 and 409 grams or the mean weight of a random sample of 36 of the cauliflowers being between 400 and 409 grams?
Answers
The mean weight of an individual cauliflower being between 400 and 409 grams has a greater probability.
Standard deviation of the given data is 20 grams. The mean weight of the cauliflower is 400 grams. Now, for calculating the probability, we need to standardize the given mean weight of cauliflower. It will be as follows. Z-score for the mean weight of cauliflower is given as:
z = (X - μ) / σwhere X = 400 grams (mean weight of cauliflower)
μ = 400 grams (mean weight of the population)
σ = 20 grams (standard deviation)z = (400 - 400) / 20 = 0
Now, the probability of the mean weight of an individual cauliflower being between 400 and 409 grams is as follows:
P(400 < X < 409) = P(0 < Z < 0.45)
Using the standard normal distribution table, the probability is 0.1745.
The mean weight of a random sample of 36 of the cauliflowers is between 400 and 409 grams. The mean weight of a random sample of 36 of the cauliflowers is given by:
(X-μ)/ (σ/√n)where μ = 400 grams (mean weight of cauliflower)
σ = 20 grams (standard deviation)
n = 36 (number of samples)
Now, we need to standardize the sample mean. It will be as follows:
z = (X - μ) / (σ/√n)z = (400 - 400) / (20 / √36)
z = 0
As the z-score is zero, the probability will be equal to 0.5. Hence, the mean weight of an individual cauliflower being between 400 and 409 grams has a greater probability than the mean weight of a random sample of 36 of the cauliflowers being between 400 and 409 grams.
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a camper attaches a rope from the top of her tent, feet above the ground, to give it more support. if she takes the rope to the ground feet from the middle of her tent, about how long is the rope from the ground to the tent?
Answers
4 feet.
The length of the rope from the ground to the top of the tent is 4 feet.
To calculate this, subtract the distance from the tent to the ground (2 feet) from the height of the tent (6 feet), and you will get the length of the rope (4 feet).
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Write an equation that describes the function.
4. Input, x Output, Y
0 0
1 4
2 8
3 12
Answers
Answer:
Y = 4x
Step-by-step explanation:
In this equation, x represents the input value, and Y represents the output value. Coefficient 4 illustrates the rate of change or slope of the function, indicating that for every unit increase in x, the value of Y increases by four units. When x is 0, Y is also 0, consistent with the given data. Similarly, when x is 1, 2, and 3, Y is 4, 8, and 12, respectively, matching the provided output values.
What percentage of people would exed to score higher than a 2.5, but lower than 3.5? The mean: X=3.00 The SDis= + 0.500 18% 999 o 50% 03%
Answers
Therefore, approximately 68.26% of people are expected to score higher than 2.5 but lower than 3.5.
Based on the information provided, the mean (X) is 3.00 and the standard deviation (SD) is 0.50. To find the percentage of people expected to score higher than 2.5 but lower than 3.5, we will use the standard normal distribution (z-score) table.
First, we need to calculate the z-scores for both 2.5 and 3.5:
z1 =[tex] (2.5 - 3.00) / 0.50 = -1.0[/tex]
z2 = [tex](3.5 - 3.00) / 0.50 = 1.0[/tex]
Now, we can use the standard normal distribution table to find the probability of the z-scores. For z1 = -1.0, the probability is 0.1587 (15.87%). For z2 = 1.0, the probability is 0.8413 (84.13%).
To find the percentage of people expected to score between 2.5 and 3.5, subtract the probability of z1 from the probability of z2:
Percentage = [tex](0.8413 - 0.1587) x 100 = 68.26%[/tex]
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i hate math fr but pls help asap
Answers
pi x 11^2 = 380.13in squared
the area is 380.13 inches squared
Answer:
379.94
Step-by-step explanation:
Area of a circle given radius is really easy! The equation for area of a cicle is pi x r^2. So just plug in. Assuming pi is 3.14 your equation would be
3.14x11^2. 11 squared is 121. Then multiply by 3.14 and thats your answer.
When we say that liquid water is unstable on Mars, we mean that
Answers
Therefore, liquid water is considered to be unstable on Mars due to the cold temperatures, low atmospheric pressure, and the UV radiation. All of these environmental factors make it difficult for liquid water to persist.
Liquid water is unstable on Mars due to its cold, dry environment. Because the atmospheric pressure is too low to hold liquid water, the water on Mars quickly evaporates, sublimates, and/or is broken down by the ultraviolet radiation in the atmosphere.
The average temperature of the surface of Mars is −63 °C, which is well below the freezing point of water. Because of this, liquid water cannot exist on the surface of Mars. When temperatures are slightly higher, water can exist as a liquid, but it cannot stay in this state for very long.
The atmosphere on Mars also does not contain enough pressure to sustain liquid water. Even when water vapor is present, it will quickly evaporate in the low-pressure environment. Additionally, the UV radiation in the Martian atmosphere will break down water molecules quickly.
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Solve the triangle please help me!!
Answers
The value of the side of the triangles are;
18. 17. 89
19. y = 9. 43, x = 5. 67
How to determine the valuesUsing the Pythagorean theorem stating that the square of the hypotenuse side is equal to the sum of the squares of the other two sides of a triangle.
From the diagram shown, we have;
21² = 11² + x²
find the squares
441 = 121 + x²
collect the like terms
x² = 320
Find the square root
x = 17. 89
To determine the value of y
sin 59 = y/11
y = 11 × 0. 8571
y = 9. 43
To determine the value of x
11² - 9. 43² = x²
x = √32.096
x = 5. 67
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h(t) = -16t ² + 110t + 72
The function above models the height, h, in feet, of an object above the ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?
*
1 point
A The initial height, h, in feet, of the object.
B The maximum height, h, in feet, of the object.
C The initial speed, in ft per second, of the object.
D The maximum speed, feet per second, of the object.
Answers
Answer:
A. The initial height, h, in feet, of the object.
Answer:
A The initial height, h, in feet, of the object.
Step-by-step explanation:
Let t = 0
h(t) = -16t ² + 110t + 72
h(0) = -16(0)² + 110 × 0 + 72
h(0) = 72
The height at time zero is 72.
72 is the initial height.
Answer: A The initial height, h, in feet, of the object.
please help!! the answers are not 9, 18, 54, or 6
Answers
Answer:
If x = 3 and y = 2.3^3, then we can evaluate y using exponents:
y = 2.3^3 = 2.3 × 2.3 × 2.3 = 12.167
So, y = 12.167 when x = 3.
Next, if we want to solve the equation y = 2[?] using order of operations, we need to evaluate what is inside the brackets first. We know that y = 12.167, so we can substitute that value into the equation:
y = 2[?]
12.167 = 2[?]
To solve for the missing value inside the brackets, we need to divide both sides by 2:
12.167 ÷ 2 = ?
6.0835 = ?
Therefore, the solution is y = 2(6.0835), or y = 12.167, which we already found earlier.
2x^4 −15x^3 +27x^2 +2x +8 is divided by x−4
Answers
Answer:
Step-by-step explanation:
Standard: 2x^3 - 7x^2 -x-2
Quotient: 2x^3- 7x^2 -x-2
remainder: 0
Determine the value of X
Answers
Answer:
x = 26.
Step-by-step explanation:
Given: 2x + 3x + 50 = 180
First, write it down:
2x + 3x + 50 = 180
Then, collect like terms:
2x + 3x = 180 - 50
Then calculate:
5x = 130 (Divide both sides by 5)
x = 26
What is the area of this parallelogram?
O A = 20 ft²
O A=213ft²
O A = 33 ft²
O A=41 ft²
5 ft
4 ft
81 ft
Answers
The area of the given parallelogram is A- 33(1/2) ft² using the base and height of the parallelogram. the correct answer is (c).
What is a parallelogram?A quadrilateral with two sets of analogous edges is appertained to as a parallelogram. In a parallelogram, the opposing edges are of equal length, and the opposing angles are of equal size. also, the internal angles that are supplementary to the transversal on the same side. 360 ° is the sum of all internal angles. A parallelepiped is a three- dimensional shape with parallelogram- shaped sides. The base( one of the analogous lines) and height( the distance from top to bottom) of the parallelogram determine its area. A parallelogram's border is determined by the lengths of its four edges. The characteristics of a parallelogram are participated by the shapes of a square and cell. What's area? The size of a section on a face is determined by its area. face area refers to the area of an open face or the border of a three- dimensional object, whereas the area of an area area plane region or area area plane area refers to the area of a shape or planar lamella.
The area of a parallelogram is given by
[tex]base*height.base=8(1/3)ft[/tex]
height=4ft
[tex]Area=b*h =(25/3)*4 =100/3 = 33[/tex]
[tex][base]\frac{1}{3}[(hieght)] ft^{2}[/tex]
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I Really want this pleaseeeeeeeeeeeeeeeeeee
Answers
Answer:
no
Step-by-step explanation:
using Pythagorean theorem:
[tex]26^{2} +42^{2}=50^{2}[/tex]
676+1764=2500
2440=2500
2440<2500
Answer:no
number 5 goes through the device and the result is 25 . what would a possible rule for machine B be ?
Answers
Answer: multiplied by 5 or squared
Step-by-step explanation:
If the number 5 goes in and 25 is the result, the rule could be multiplying by 5 or squaring the number that goes in (input).
5 x 5 = 25
5^2 = 25.
Layson, Jane
Mark has a key ring with 10 similar keys. There are 3 gym locker keys, 2 car keys, I door key, and 4 toolbox keys. If Mark selects one key without looking, what is the probability he
selects a car key or door key?
Answers
The probability that Mark selects a car key or door key from the key ring is 0.3 or 30%.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability theory provides a framework for understanding random events and the laws of chance, and it is an important tool for modeling and simulating complex systems.
Calculating the probability that he selects a car key or door key :
In this context, we are asked to find the probability of Mark selecting a car key or door key from the key ring. To calculate this probability, we need to first determine the total number of keys on the key ring and then count the number of car keys and door keys.
Total number of keys = 10
Number of car keys = 2
Number of door keys = 1
The probability of selecting a car key or door key can be found by adding the probability of selecting a car key to the probability of selecting a door key. Since there is only one door key and two car keys, the probability of selecting a car key is higher, and we can simplify the calculation by finding the probability of selecting a car key and then adding the probability of selecting a door key that hasn't already been selected.
Probability of selecting a car key = 2/10 = 0.2
Probability of selecting a door key = 1/9 (since one key has already been selected) = 0.1111...
Therefore, the probability of Mark selecting a car key or door key from the key ring is 0.2 + 0.1111... ≈ 0.3 or 30%.
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HELP IS DUE TODAY!!!!!!!!!!!!!!!!!!
Answers
Using expressions,
4a. x= 0 is not possible.
4b. x= 1 is not possible.
5a. (9x-5)(9x+5)
5b. (x-3)(2x+1)
6. 1/(3x-7)
7a. x = (-5,∞)
7b. x = (∞,2]
7c. x = (-3,7]
What are expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Let's examine the writing of expressions.
The other number is x, and a number is 6 greater than half of it.
As a mathematical expression, this proposition is denoted by the expression x/2 + 6.
Here the values of x has to be such that the denominator is not equal to zero.
So, x cannot be zero and x cannot be 1 as these two values in the respective questions will make the denominator zero.
a. 81x²-25
= 81x² + 45x-45x-25
=9x(9x+5)-5(9x+5)
= (9x-5)(9x+5)
b. 2x²-5x-3
= 2x² + x - 6x -3
= x(2x+1)-3(2x+1)
=(x-3)(2x+1)
Next, the intervals for x are as follows:
x = (-5,∞)
x = (∞,2]
x = (-3,7]
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At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot.
Answers
Answer: the team amassed 88i points total, by shooting t two-point baskets and u 1-point free throws.
t+u = 53
total is: 2t + u = 88.
Step-by-step explanation:
hope i makes sense
juan owns 7 pairs of pants, 5 shirts, 6 ties, and 8 jackets. how many different outfits can he wear to school if he must wear one of each item?
Answers
Answer: I believe he could wear 768 outfits
Step-by-step explanation: I had a similar question consisting of the same numbers.
Please help me out! Gonna be posting alot of these so if your good at this stay tuned lol but this is sophomore geometry (not advanced)
Answers
Answer: 63.8
Step-by-step explanation:
Find the surface area of the solid. Round your answer to the nearest tenth
if necessary.
Answers
Area of the solid composite shape with triangle and rectangle is =832cm².
Define area of composite shapes?The area of a composite shape can be determined by adding or subtracting its component pieces.
Hence, we can use two formulas:
Area of Composite Shape + Area of Composite Shape + Area of Basic Shape A (additive)
Basic Shape Area A, Basic Shape Area B, and Composite Shape Area (subtractive)
In the figure,
Dimensions of the triangle are height, h = 16cm and base, b = 12cm.
Area = 1/2 ×b ×h
= 1/2 × 16× 12
=96cm²
There are two triangles, so the total area = 96+ 96 = 192cm².
Now area of the rectangle = length × width
= 20 × 32
= 640cm².
Total area of the solid= 192 + 640 = 832cm².
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PLS HELP ASAP .a vacuum cleaner costs the owner $220 to buy. They then mark up the cost to sell it by 30%. What as the amount of the mark up? What is the selling price?
Answers
The amount of the mark up is $66 and the selling price is $286.
What is markup percentage?The amount by which a product's cost is raised to determine its selling price is known as the markup percentage. Usually, it is represented as a percentage of the item's price. Markup percentage is determined by the following equation:
Markup percentage = (Selling price - Cost price) / Cost price x 100%
Given that, the mark up is 30%.
Thus,
Mark up = 0.3 x $220 = $66
The selling price is:
Selling price = $220 + $66 = $286
Hence, the amount of the mark up is $66 and the selling price is $286.
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No idea how to use this app tbh
Answers
Answer:
-10
Step-by-step explanation:
I added a photo of my solution
Answer:
Answer is -10
Step-by-step explanation:
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures whenever appropriate. (Do this on paper. Your instructor may ask you to turn in this work.)
(a) P(0Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.74)
(b) P(0Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve1)
(c) P(-2.40Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve0)
(d) P(-2.40Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve+2.40)
(e) P(ZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve1.63)
(f) P(-1.74Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZ)
(g) P(-1.4Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.00)
(h) P(1.63Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.50)
Answers
(a) To find P(0 < Z < 2.74), you'll want to look up the z-score for 2.74 in a standard normal table or use a calculator with a built-in normal distribution function. The probability is the area under the curve between 0 and 2.74.
(b) To find P(0 < Z < 1), you'll look up the z-score for 1 in a standard normal table or use a calculator. The probability is the area under the curve between 0 and 1.
(c) To find P(-2.40 < Z < 0), you'll look up the z-score for -2.40 in a standard normal table or use a calculator. The probability is the area under the curve between -2.40 and 0.
(d) To find P(-2.40 < Z < 2.40), you can first calculate the probability for P(-2.40 < Z < 0) and P(0 < Z < 2.40), and then sum the two probabilities.
(e) To find P(Z > 1.63), look up the z-score for 1.63 in a standard normal table or use a calculator. The probability is the area under the curve to the right of 1.63.
(f) To find P(Z < -1.74), look up the z-score for -1.74 in a standard normal table or use a calculator. The probability is the area under the curve to the left of -1.74.
(g) To find P(-1.4 < Z < 2.00), first look up the z-scores for -1.4 and 2.00 in a standard normal table or use a calculator. Subtract the smaller probability from the larger probability to find the area under the curve between these two values.
(h) To find P(1.63 < Z < 2.50), first look up the z-scores for 1.63 and 2.50 in a standard normal table or use a calculator. Subtract the smaller probability from the larger probability to find the area under the curve between these two values.
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Mr. Kha Lipat wants to earn 8% on his investment. How much money should he invest today in order to receive 400. 00 one year from now?
Answers
Mr. Kha Lipat should invest $5,000 today in order to receive $400.00 in interest one year from now at an 8% interest rate.
To calculate how much money Mr. Kha Lipat should invest today to receive $400.00 one year from now at an 8% interest rate, we can use the formula for calculating simple interest though compound intrest:
I = P * r * t
where I is the interest earned, P is the principal (the initial amount invested), r is the interest rate (as a decimal), and t is the time period (in years).
We know that Mr. Kha Lipat wants to earn $400.00 in interest, the interest rate is 8% or 0.08 (as a decimal), and the time period is 1 year. We can plug these values into the formula and solve for P:
I = P * r * t
400 = P * 0.08 * 1
400 = 0.08P
P = 400 / 0.08
P = 5000
Therefore, Mr. Kha Lipat should invest $5,000 today in order to receive $400.00 in interest one year from now at an 8% interest rate.
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miguel rode his bicycle 4 miles less than 5 times the number nathen rode. if Miguel rode his bicycle 6 miles, how many miles did nathan ride?
Answers
Answer:Hence, Nathan rode 2 miles
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