we can conclude that Walk is the most preferred transportation method among the randomly selected San Francisco residents, followed by Cable Car, Bus, Streetcar, and Bicycle.
How to solve the question?
Based on the given circle graph, we can draw the following conclusions:
Bus is the preferred transportation for 10% of the sample size, which is (10/100) x 300 = 30 residents. Therefore, the statement "Bus is the preferred transportation for 25 residents" is false.
Bicycle is the preferred transportation for 8% of the sample size, which is (8/100) x 300 = 24 residents. Therefore, the statement "Bicycle is the preferred transportation for 48 residents" is false.
Together, Streetcar and Cable Car are the preferred transportation for 27% + 15% = 42% of the sample size, which is (42/100) x 300 = 126 residents. Therefore, the statement "Together, Streetcar and Cable Car are the preferred transportation for 42 residents" is false.
Together, Walk and Streetcar are the preferred transportation for 40% + 15% = 55% of the sample size, which is (55/100) x 300 = 165 residents. Therefore, the statement "Together, Walk and Streetcar are the preferred transportation for 165 residents" is true.
In summary, we can conclude that Walk is the most preferred transportation method among the randomly selected San Francisco residents, followed by Cable Car, Bus, Streetcar, and Bicycle.
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Brainlist
Show all steps!!
Answer:
1. With the height and base of a triangle given, we can use the Pythagorean Theorem to find the length of the hypotenuse (the third side) of the right triangle.
Given:
Height (a) = 6
Base (b) = 8
We can plug these values into the Pythagorean Theorem formula:
a^2 + b^2 = c^2
Substituting the values:
6^2 + 8^2 = c^2
Simplifying:
36 + 64 = c^2
100 = c^2
Now, we can take the square root of both sides to solve for c:
√100 = √c^2
10 = c
So, the length of the hypotenuse (c) of the right triangle is 10 units.
2.
Given:
Base (b) = 8
One side (a or c) = 12
We can use the Pythagorean Theorem to find the length of the remaining side (either a or c) of the right triangle.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Using the formula:
a^2 + b^2 = c^2
Substituting the values:
a^2 + 8^2 = 12^2
Simplifying:
a^2 + 64 = 144
Next, we can isolate a^2 by subtracting 64 from both sides of the equation:
a^2 = 144 - 64
a^2 = 80
Finally, we can take the square root of both sides to solve for a:
√(a^2) = √80
a ≈ 8.94 (rounded to two decimal places)
So, the length of the remaining side (either a or c) of the right triangle is approximately 8.94 units. Please note that depending on the context of the problem, you may need to use the positive square root value for a or c, depending on which side is relevant in the specific scenario.
Answer:
X = 10^2
Y = /80
Step-by-step explanation:
Pythagorean theorem = A^2 +B^2= C^2
Fist triangle
6^2+8^2
36 + 64= 100
/100 = 10^2
X= 10^2
Second triangle
Pythagorean theorem = C^2 - A^2= B^2
12^2 - 8^2
144 - 64= 80
/80 = /80
X = /80
3. Technology required. Here are the data for the population f, in thousands, of a city d decades after 1960 along with the graph of the function given by f(d) = 25 - (1.19)ª. Elena thinks that shifting the graph off up by 50 will match the data. Han thinks that shifting the graph of f up by 60 and then right by 1 will match the data. a. What functions define Elena's and Han's graphs? b. Use graphing technology to graph Elena's and Han's proposed functions along with f. population (thousands) c. Which graph do you think fits the data better? Explain your reasoning.
The relationship between the functions are indicated in the attached graph. see further explanation below.
a. Elena's graph is obtained by shifting the original function f up by 50 units, so her function is g(d) = f(d) + 50 = 75 - (1.19)ª.
Han's graph is obtained by shifting the original function f up by 60 units and then to the right by 1 unit, so his function is h(d) = f(d - 1) + 60 = 85 - (1.19)^(a-1).
b. Using graphing technology, we can graph the three functions f, g, and h to compare how well they fit the given data. Here's an example graph:
graph of f, g, and h
c. From the graph, it appears that Han's function h fits the data better than Elena's function g. The graph of h seems to align more closely with the plotted data points than the other two functions. Moreover, the shift to the right and up of the graph of f seems to better capture the overall trend of the data, as it appears that the population increased and shifted slightly to the right over time.
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How many solutions does the system have? \begin{cases} 5x-y=2 \\\\ 5x-y=-2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x−y=2 5x−y=−2 Choose 1 answer: Choose 1 answer: (Choice A) A Exactly one solution (Choice B) B No solutions (Choice C) C Infinitely many solutions
The system of equation has no solution (option b).
Let's start by writing the equations in standard form, which is y = mx + b, where m is the slope of the line and b is the y-intercept. We have:
y = -5x - 1
y = -5x + 7
Both equations have the same slope of -5, which means they are parallel lines. However, the y-intercepts are different (-1 and 7), which means the lines are shifted up or down relative to each other.
We can also confirm this algebraically by subtracting one equation from the other:
y = -5x + 7 - (-5x - 1)
y = -5x + 5
We have simplified the system to a single equation in one variable, which has no solution. This confirms that the original system has no solution as well.
Hence the correct option is (b).
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Given a sphere with a diameter of 8 cm , find its volume to the nearest whole number A. 11cm^3 B. 6cm^3 C. 17cm^3 D. 92cm^3
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.
find its volume to the nearest whole number A.We are given the diameter of the sphere, which is 8 cm. The radius, r, is half the diameter, so:
r = 8/2 = 4 cm
Substituting this value of r into the formula for the volume of a sphere, we get:
V = (4/3)π(4³) ≈ 268.08
Rounding this to the nearest whole number, we get:
V ≈ 268
Therefore, the volume of the sphere to the nearest whole number is 268 cm³, which is option D.
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I need help with this pleasee
Answer:
1. x=34
2.x=10
3. x=22
4. x=81
5.x=1
6.x=-8
7.x=-6
8. x=61
9. x=0.8
10. x= 2
11. x=25.2
12.x=-4
13.x=64
14.x=29
15. x=19
Step-by-step explanation:
3.12 speeding on the i-5, part i: the distribution of passenger vehicle speeds traveling on the interstate 5 freeway (i-5) in california is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) what percent of passenger vehicles travel slower than 80 miles/hour?
Approximately 68.3% of passenger vehicles travel slower than 80 miles/hour.
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed
Median, because Sunny Town is skewed.
What is descriptive statistics?Descriptive statistics is a branch of statistics that deals with the collection, organization, analysis, and interpretation of numerical data. It involves using various statistical measures to describe and summarize the characteristics of a set of data. Descriptive statistics helps to make sense of large amounts of data by presenting it in a more meaningful and understandable way. Commonly used measures of central tendency in descriptive statistics include mean, median, and mode, while measures of dispersion include range, variance, and standard deviation. Descriptive statistics is widely used in various fields, such as business, medicine, economics, psychology, and social sciences, to name a few.
Median, because Sunny Town is skewed.
The skewness of the histogram for Sunny Town indicates that the data is not symmetrically distributed, and therefore the median would be a better measure of central tendency to compare the locations. The mean can be affected by extreme values or outliers, which might be present in the skewed distribution of Sunny Town, making it less reliable in this case.
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1. suppose we know that the average weight of coyotes is 14.5kg with a standard deviation of 4kg. what is the probability of trapping a coyote that is 17kg or larger?
The probability of trapping a coyote that is 17kg or larger, given an average weight of 14.5kg and a standard deviation of 4kg is approximately 0.2743 or 27.43%.
To solve the problem, we first need to standardize the weight of the coyote using the formula:
z = (x - μ) / σ
Where:
x = the weight of the coyote we want to find the probability for (17kg in this case)
μ = the population mean (14.5kg in this case)
σ = the population standard deviation (4kg in this case)
z = the standardized score
Substituting the given values in the formula, we get:
z = (17 - 14.5) / 4
z = 0.625
Next, we need to find the probability of getting a coyote weighing 17kg or more, which is equivalent to finding the area under the normal distribution curve to the right of z = 0.625. We can use a standard normal distribution table or a calculator to find this probability.
Using a calculator, we can use the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the area under the curve to the left of a specified z-score. Since we want the area to the right of z = 0.625, we can subtract the CDF from 1 to get the area to the right.
Using a standard normal distribution table or calculator, we find that the CDF for z = 0.625 is approximately 0.734. Therefore, the area to the right of z = 0.625 is 1 - 0.734 = 0.266 or 26.6%.
Thus, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
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Using a standard normal distribution table or a calculator, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
What exactly is a standard normal distribution?The standard normal distribution is a probability distribution that is used to calculate probabilities associated with a random variable that has a normal distribution with mean 0 and standard deviation 1. Any normally distributed random variable can be standardized by subtracting its mean and dividing by its standard deviation to obtain a new variable with mean 0 and standard deviation 1.
In this case, we are given that the weight of coyotes has a normal distribution with a mean of 14.5kg and a standard deviation of 4kg. We want to find the probability of trapping a coyote that is 17kg or larger.
To calculate this probability, we need to standardize the weight of a 17kg coyote using the formula:
z = (× - μ) / σ
where:
x is the value we want to standardize (in this case, 17kg),
μ is the mean of the distribution (14.5kg),
σ is the standard deviation of the distribution (4kg).
Substituting the values we have:
[tex]z =\frac{(17 - 14.5)}{4} = 0.625[/tex]
This value of 0.625 is the z-score for a coyote weighing 17kg. The z-score represents the number of standard deviations that a particular value is above or below the mean.
Next, we need to find the probability of a randomly selected coyote weighing 17kg or larger, which can be calculated using the standard normal distribution table or a calculator.
The standard normal distribution table gives the probability associated with a given z-score. However, since the table only gives probabilities for z-scores less than 0, we need to use the fact that the standard normal distribution is symmetric about the mean (0) to find the probability of a z-score greater than 0.625.
Specifically, we can use the property that:
P(Z > z) = 1 - P(Z < z)
where Z is a standard normal random variable and z is a z-score. This formula tells us that the probability of a z-score greater than a certain value is equal to 1 minus the probability of a z-score less than that value.
Using this formula, we can calculate:
P(Z > 0.625) = 1 - P(Z < 0.625)
We can look up the value of P(Z < 0.625) in a standard normal distribution table or calculate it using a calculator. For example, using a standard normal distribution table, we can find that P(Z < 0.625) = 0.734.
Substituting this value into the formula, we get:
P(Z > 0.625) = 1 - 0.734 = 0.266
Therefore, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
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What is a simplified form of the expression 2(–x + 2) + 3x? how do i do this?
Answer:
x + 4
Step-by-step explanation:
2(–x + 2) + 3x
-2x + 4 + 3x
x + 4
9) Given f-¹(x)=-3x+2, write an equation
that represents f(x).
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so for this inverse, since finding the inverse of the inverse, will give us the original function :)
[tex]f^{-1}(x)=-3x+2\implies y~~ = ~~-3x+2\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~-3y+2} \\\\\\ x-2=-3y\implies \cfrac{x-2}{-3}=y\implies \cfrac{2-x}{3}=y=f(x)[/tex]
a motor boat traveling at 18 miles per hour traveled the length of a lake in one-quarter of an hour less time than it took when traveling at 12 miles per hour. what was the length in miles of the lake?
The length of the lake in miles for the given situation of travelling motor boat is equal to 9 miles.
Let us consider the length of the lake be d in miles.
Number of miles motor boat travelled per hour = 18 miles
When the motor boat travels at 18 miles per hour,
The time it takes to travel the length of the lake is,
t₁ = d/18
When the motor boat travels at 12 miles per hour,
The time it takes to travel the length of the lake is,
t₂ = d/12
Time it takes to travel the length of the lake at 18 miles per hour
= one-quarter of an hour less than the time it takes at 12 miles per hour,
⇒ t₁ = t₂ - 1/4
Substituting the expressions for t₁ and t₂ from above, we get,
⇒ d/18 = d/12 - 1/4
Simplify this equation by multiplying both sides by the least common multiple of the denominators,
least common multiple = 36
⇒ 2d = 3d - 9
Solving for d, we get,
⇒ d = 9
Therefore, the length in miles of the lake is 9 miles.
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What are two ways you can determine if an equation is true or false?
Answer:
To make a true equation, check your math to make sure that the values on each side of the equals sign are the same. Ensure that the numerical values on both sides of the "=" sign are the same to make a true equation. For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation.
Madison made the following table to record the height of each person in her family. About how much taller is her mom than Jade? Be sure to round to the nearest half or whole.
{1}{2} foot
1, 1{2} feet
0 feet
1 foot
As per the data mentioned in the table, Jade's mom is 0.7 ft or 1 ft taller than jade.
Describe mixed fractions.Mixed numbers represent whole numbers and proper fractions together. Usually represents a number between any two integers. Hybrid numbers are made by combining three parts:
An integer, a numerator, and a denominator. The numerator and denominator are part of the correct fraction giving the mixed number.
Height of jade's mom = 5⁵/₈ ft
Jade's height = 4⁵/₆
The difference in their heights is:
= (45/8) - (29/6)
= (270 - 232)/48
= 38/48
= 0.7 ft
0.7 ft ≈ 1 ft
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find the average rate of change of the car's position on the interval . include units on your answer.
The average rate of change of the car's position on the interval is ∆P/∆t.
To find the average rate of change of the car's position on the interval, follow these steps:
Identify the interval: First, determine the specific interval for which you need to find the average rate of change (e.g.,
between times t1 and t2).
Calculate the change in position:
Determine the car's position at both the beginning and end of the interval (e.g., positions P1 and P2).
Then, subtract the initial position (P1) from the final position (P2) to find the change in position (∆P).
Calculate the change in time: Subtract the initial time (t1) from the final time (t2) to find the change in time (∆t).
Calculate the average rate of change: Divide the change in position (∆P) by the change in time (∆t) to find the average
rate of change.
The average rate of change of the car's position on the interval is ∆P/∆t. Include units in your answer (e.g., meters per
second or miles per hour) to indicate the car's rate of change in position.
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Estimate the sum.
6{13}{28} + 8{3}{32}
15
14
14 {1}2}
15 {1}2}
The sum of fractions 6 13/28 and 8 3/32 when estimated has a value of 14 1/2
Estimating the sum of fractionsTo estimate the sum of fractions 6 13/28 and 8 3/32, we can round the fractions to the nearest whole number and then add them together.
6 13/28 is approximately equal to 6 + 1/2 = 6.58 3/32 is approximately equal to 8 + 0 = 8Adding 6.5 and 8, we get:
6.5 + 8 = 14.5
Convert to fraction, we have
6.5 + 8 = 14 1/2
Therefore, the estimated sum of fractions 6 13/28 and 8 3/32 is 14 1/2
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Can someone help me asap? It’s due tomorrow.
Answer:
the answer is stratified sampling
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7
The equations that are equivalent are: 2 + x = 5, x + 1 = 4, x + (-4) = 7
These equations can be solved to find x = 3 and x = 11, respectively.
What is equation?An equation is a mathematical statement that uses an equal sign (=) to show that two expressions are equal.
According to given information:Equations are equivalent if they have the same solution or solutions. In other words, if we substitute the same values for the variables in each equation, we will get the same result or results.
In the given options, the equations that are equivalent are:
2 + x = 5 and x + 3 = 5, since they both simplify to x = 3.
x + 1 = 4 and x = 3, since they both simplify to x = 3.
x + (-4) = 7 and x = 11, since they both simplify to x = 11.
The equation 9 + x = 6 has a different solution from the others, so it is not equivalent to any of them.
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!!PLEASE HELPPP MEEE!!
Answer:
Step-by-step explanation:
a is 150 and b is 150 they are both the same answer unless you add 645+375 wich will be 1020.
Alex had 8. 8 meters of string. Suni had 36 decimeters of string. Juanita had 672 centimeters of string. What is the order of string lengths from the longest to the shortest? 8. 8 meters, 672 centimeters, 36 decimeters 8. 8 meters, 36 decimeters, 672 centimeters 36 decimeters, 8. 8 meters, 672 centimeters 672 centimeters, 36 decimeters, 8. 8 meters
The order of string lengths from the longest to the shortest is:
8.8 meters, 36 decimeters, 672 centimeters. So the correct option is : 2
To compare these lengths, we need to convert them to the same units.
8.8 meters is the longest length.
36 decimeters is equivalent to 3.6 meters.
672 centimeters is equivalent to 6.72 meters.
1 meter = 10 decimeters = 100 centimeters
Now converting ,
So, 8.8 meters = 88 decimeters = 880 centimeters
36 decimeters = 360 centimeters
Now we can see that the order from longest to shortest is:
8.8 meters = 880 centimeters
36 decimeters = 360 centimeters
672 centimeters
Therefore the correct option is : 2.
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--The complete Question is, Alex had 8. 8 meters of string. Suni had 36 decimeters of string. Juanita had 672 centimeters of string. What is the order of string lengths from the longest to the shortest?
8. 8 meters, 672 centimeters, 36 decimeters 8. 8 meters, 36 decimeters, 672 centimeters 36 decimeters, 8. 8 meters, 672 centimeters 672 centimeters, 36 decimeters, 8. 8 meters --there are three urns that contain a mixture of black and red balls as shown in table 1: no. of red balls no. of black balls urn 1 7 3 urn 2 2 8 urn 3 5 5 table 1: distribution of colored balls in each urn two urns are chosen at random and two balls are randomly chosen from each of the two urns. what is the probability that all four chosen balls are red?
The probability that all four chosen balls are red is 14/6075.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.
According to question:Let's first find the probability of choosing two red balls from each of the two urns separately and then multiply the results.
The probability of choosing two red balls from urn 1 is:
P(2 red balls from urn 1) = (7/10) * (6/9) = 7/15
Similarly, the probability of choosing two red balls from urn 2 is:
P(2 red balls from urn 2) = (2/10) * (1/9) = 1/45
And the probability of choosing two red balls from urn 3 is:
P(2 red balls from urn 3) = (5/10) * (4/9) = 2/9
Now, we need to find the probability of choosing two urns out of three, and since the order in which we choose the urns does not matter, we can use combinations:
Number of ways to choose two urns out of three = C(3, 2) = 3
Therefore, the probability of choosing two urns out of three is 3/3 = 1.
Finally, we need to multiply the probability of choosing two red balls from each of the two urns and the probability of choosing two urns out of three:
P(all four balls are red) = P(2 red balls from urn 1) * P(2 red balls from urn 2) * P(2 red balls from urn 3) * P(choose two urns out of three)
= (7/15) * (1/45) * (2/9) * 1
= 14/6075
Therefore, the probability that all four chosen balls are red is 14/6075.
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What is the loan factor is Magada decides to pay her monthly repayments over a 25 year period with an interest of 10. 75%
Magada's loan factor is approximately 0.006367. This means that for every $1 borrowed, Magada will have to pay approximately $0.006367 per month for the next 25 years to repay the loan with an interest rate of 10.75%.
To calculate the loan factor, we first need to calculate the monthly interest rate and the total number of monthly payments.
Monthly interest rate = Annual interest rate / 12
= 10.75% / 12
= 0.8958%
Monthly payments = Number of years * 12
= 25 * 12
= 300
Now, we can use loan factor formula, which is:
Loan factor = [monthly interest rate * (1 + monthly interest rate)^n] / [(1 + monthly interest rate)^n - 1]
Substituting the values, we get:
Loan factor = [0.008958 * (1 + 0.008958)^300] / [(1 + 0.008958)^300 - 1]
= 0.006367
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which measures of center and variability would be most appropriate to describe the given distribution?
The choice of measures of center and variability depends on the shape and characteristics of the distribution. If the distribution is skewed or has outliers, then the median and IQR would be more appropriate measures of center and variability, respectively.
What is median?The median is a measure of central tendency that represents the middle value in a dataset when the data is arranged in order of magnitude. Specifically, it is the value that separates the data set into two equal halves. In other words, half of the values in the dataset are greater than the median, and the other half are less than the median.
To calculate the median, you first need to arrange the data in order from lowest to highest (or highest to lowest).
The value that divides the data set into two equal portions is called the median. It is a robust measure of center, meaning that it is not affected by extreme values or outliers. The IQR is the range of values that contains the middle 50% of the data, and it is also a robust measure of variability.
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Bernard used a stopwatch to time how many seconds he could balance a spoon on his nose. The first attempt lasted 5 1/3 seconds. The second attempt lasted 5 5/9 seconds. The third attempt lasted 5 1/2 seconds.
Which list orders the times from shortest to longest ?
List orders the times from shortest to longest
5 1/3 seconds
5 1/2 seconds
5 5/9 seconds
What is Decimal?A decimal is a way of representing numbers using a base-10 positional notation system, where each digit represents a power of 10. It is written as a whole number followed by a decimal point and a series of digits representing fractions of 1.
According to the given information:
To order the times from shortest to longest, we need to convert them into a common format, such as a decimal or a common denominator.
First, let's convert the times to a common denominator of 9:
5 1/3 seconds = 16/3 seconds = 48/9 seconds
5 5/9 seconds = 50/9 seconds
5 1/2 seconds = 9/2 seconds = 45/9 seconds
Now we can order the times from shortest to longest:
48/9 seconds = 5 1/3 seconds
45/9 seconds = 5 1/2 seconds
50/9 seconds = 5 5/9 seconds
Therefore, the correct list in order from shortest to longest is:
5 1/3 seconds
5 1/2 seconds
5 5/9 seconds
So Bernard's first attempt was the shortest, his third attempt was the second longest, and his second attempt was the longest.
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The amount y (in dollars) of money in your
savings account after x months is represented by the equation y = 12.5x+100.
A Graph the linear equation
b. How many months will it take to save a total of $237.50
A. we can plot another point at (1, 112.5), and continue this pattern to draw the line. Linear equation graph
B. It will take 11 months to save a total of $237.50.
What is a graph?
In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).
a. To graph the linear equation y = 12.5x+100, we can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Comparing y = 12.5x+100 to y = mx + b, we can see that the slope is 12.5 and the y-intercept is 100.
To graph the equation, we can plot the y-intercept at (0, 100), and then use the slope to find other points. The slope of 12.5 means that for every increase of 1 in x (i.e. for every month), y increases by 12.5. So, we can plot another point at (1, 112.5), and continue this pattern to draw the line.
linear equation graph
b. We want to find the value of x (the number of months) that corresponds to a value of y (the amount of money in savings) of $237.50.
We can set y = 237.50 in the equation y = 12.5x+100, and solve for x:
237.50 = 12.5x+100
Subtracting 100 from both sides, we get:
137.50 = 12.5x
Dividing both sides by 12.5, we get:
x = 11
So, it will take 11 months to save a total of $237.50.
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Mr. Lowe is a school librarian. His computer kept track of the number of books checked out
each month during the last school year.
Books checked out
4,247. 4,983. 6,214. 7,500. 3,500. 2,500. 5,000. 3,876. 4,753. 2,712.
Which box plot represents the data?
Answer:
A (top)
Step-by-step explanation:
You want to know which box plot represents the data in the given list.
MedianThe difference between the box plots is the location of the median.
When the data is sorted into order, it is ...
{2500, 2712, 3500, 3876, 4247, 4753, 4983, 5000, 6214, 7500}
There are an even number of elements in this list, so the median is the average of the middle two:
median = (4247 +4753)/2 = 9000/2 = 4500
The median is represented by the line inside the box of the box plot. The plot with its median at 4500 is the top one (shown in the attachment).
The top box plot represents the data.
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The sum of three consecutive odd integers is fifty-seven. Find the
three numbers.
Therefore, the three consecutive odd integers are 17, 19, and 21.
What is equation?An equation is a statement that shows the equality of two expressions, typically separated by an equal sign. An equation can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that satisfy the equality.
Here,
Let x be the first odd integer, then the second and third odd integers are x+2 and x+4, respectively, since the difference between consecutive odd integers is 2.
The sum of the three consecutive odd integers is 57, so we can write:
x + (x+2) + (x+4) = 57
Simplifying and solving for x, we get:
3x + 6 = 57
3x = 51
x = 17
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past data shows that the standard deviation of apartments for rent in the area is $200. suppose we want a 98% confidence interval with margin of error of 50. what sample size do we need?
A sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50.
How to calculate sample size?To calculate the sample size required for a 98% confidence interval with a margin of error of 50, we need to use the following formula:
n = [Z*(σ/ME)]^2
where:
n = the sample size needed
Z = the Z-score for the desired confidence level (98% or 2.33)
σ = the standard deviation of apartments for rent in the area ($200)
ME = the margin of error ($50)
Plugging in the given values, we get:
n = [2.33*(200/50)]^2
n = [9.32]^2
n ≈ 86.7
Since we cannot have a fractional sample size, we round up to the nearest whole number to get the final answer.
Therefore, a sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50, given that the standard deviation of apartments for rent in the area is $200.
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Can please someone help me asap? It’s due tomorrow. I will give brainliest if it’s all correct.
Please do part a, b, and c
Part A: The sample space is {A, E, R, S, T}. Part B: The favorable outcomes is 1/5 that is every card can appear. Part C: The probability of choosing two consonants is 6/20.
What is probability?The likelihood of an event occurring can be expressed using odds or probability. The ratio of favourable events to all conceivable outcomes is known as the probability. A number between 0 and 1 or a percentage between 0% and 100% are both acceptable ways to express it. The ratio of favourable events to unfavourable outcomes is known as the odds, on the other hand. "Odds in favour" or "odds against" are two ways to express odds.
Given that two cards are randomly selected without replacement from a pile of five cards labeled with the letters A, E, R, S, and T.
The probability of both cards being consonants are = 3 *2 = 6
Part A: The sample space is {A, E, R, S, T}.
Part B: The favorable outcomes is 1/5 that is every card can appear.
Part C: The consonants are R, S, T:
Thus, choosing 2 consonants the probability is:
3 x 2 = 6.
The total outcomes are: 5 * 4 = 20 ways
The probability of choosing two consonants is 6/20.
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A jacket at the store is being offered at a 30% discount. If the original price of the jacket is x, which answer choice shows an expression that represents the discounted price of the jacket?
The expression that represents the discounted price of the jacket is 0.7x. This means that the discounted price is 70% of the original price, or equivalently, that the discount reduces the price of the jacket by 30%.
What is original price?
In order to determine the sales price, the value of the discount would be subtracted from the original price.
When an item is offered at a discount, the discounted price is usually calculated by subtracting the discount from the original price. In this case, since the discount is 30%, we can find the amount of the discount by multiplying the original price x by 0.3. This gives us 0.3x, which is the amount of money that is being discounted from the original price. To find the discounted price, we subtract this amount from the original price, which gives us:
x - 0.3x = 0.7x
So, the expression that represents the discounted price of the jacket is 0.7x. This means that the discounted price is 70% of the original price, or equivalently, that the discount reduces the price of the jacket by 30%.
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the ratio of the amount of ink used in a table or chart that is necessary to convey information to the total amount of ink used in the table and chart is known as data-ink ratio. using additional ink that is not necessary to convey information has what effect on the data-ink ratio?
Using additional ink that is not necessary to convey information reduces the data-ink ratio, which should be maximized in order to effectively convey essential information in a table or chart.
Using additional ink that is not necessary to convey information reduces the data-ink ratio. The goal of maximizing the data-ink ratio is to ensure that the ink used in the visual representation of data is used only to convey the necessary information, without cluttering or distracting from the main message.
When unnecessary ink is used, it increases the amount of ink used overall, reducing the proportion of ink used for conveying information, and thus reducing the data-ink ratio. Therefore, to maximize the effectiveness of a table or chart, it's important to minimize the use of non-data ink and focus on the essential information.
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