MATHEMATICS COLLEGE

Is the relationship shown in the table at the right proportional? If so, use it to complete a proportions web. If not, explain why it is not40 Points to whover answers them all

Answers

Answer 1

Answer: yes it would be proportional because it goes through the origin

Answer 2

Answer:

Answer:

yes it would be proportional because it goes through the origin

Step-by-step explanation:

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A second number is 7 less than the first number. The third number is twice the first number. If the sum of the three numbers is 321, find the numbers

Answers

Answer:

x=4

Step-by-step explanation:

hope it will help

First no.=x

2nd no.=2x

3rd no. =2x+6

x+2x+2x+6=26

5x+6=26

5×=26-6

5x =20.......divide both sides by 5

x=4

1st no.=x=4

1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of" *

Answers

Answer:

Step-by-step explanation:

3x - 2x²

3 × -3 = -9

2 × -3 = -6

-9 - (-6²)

-9 - (-36)

-9 + 36

36 - 9

36 - 9 = 27

Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of μ=22.5 in. and a standard deviation of σ=1.1 in. These data are often used in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤0.01 and a value is significantly low if P(x or less) ≤0.01.Find the back-to-knee lengths separating significant values from those that are not significant.

Answers

Answer:

Measures equal or lower than 19.94 inches are significantly low.

Measures equal or higher than 25.06 inches are significantly high.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 22.5, \sigma = 1.1$

Find the back-to-knee lengths separating significant values from those that are not significant.

Significantly low

In this exercise, a value is going to be to significantly low if it has a pvalue of 0.01 or less. So we have to find X when Z has a pvalue of 0.01. This is between $Z = -2.32$ and $Z = -2.33$ , so we use $Z = -2.325$

$Z = (X - \mu)/(\sigma)$

$-2.325 = (X - 22.5)/(1.1)$

$X - 22.5 = -2.325*1.1$

$X = 19.94$

Measures equal or lower than 19.94 inches are significantly low.

Significantly high

In this exercise, a value is going to be to significantly high if it has a pvalue of 0.99 or more. So we have to find X when Z has a pvalue of 0.99. This is $Z = 2.325$ . So:

$Z = (X - \mu)/(\sigma)$

$2.325 = (X - 22.5)/(1.1)$

$X - 22.5 = 2.325*1.1$

$X = 25.06$

Measures equal or higher than 25.06 inches are significantly high.

Final answer:

To find the separating back-to-knee lengths, we calculate the corresponding z-scores for the given probabilities. Using the standard normal distribution table, we find that the separating values are 24.78 inches for significantly high lengths and 20.22 inches for significantly low lengths.

Explanation:

To find the back-to-knee lengths separating significant values from those that are not significant, we need to calculate the z-scores corresponding to the given probabilities. For a value to be significantly high, we look for a z-score such that the area to its right is 0.01. Using the standard normal distribution table, we find that z = 2.33. Similarly, for a value to be significantly low, we look for a z-score such that the area to its left is 0.01. Again using the table, we find that z = -2.33. Converting these z-scores back to actual back-to-knee lengths, we can calculate the separating values as: 22.5 + (2.33 * 1.1) = 24.78 inches for significantly high lengths, and 22.5 - (2.33 * 1.1) = 20.22 inches for significantly low lengths.

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Explain how you get 608,149 to the nearest thousand place

Answers

Answer:

Step-by-step explanation:

608,000

you go to thousands look next number left and round up or down and the rest after the thousands becomes zeros

Final answer:

608,149 rounded to the nearest thousand is 608,000. The process involved looking at the digit in the hundreds place, determining it was less than 5, and therefore replacing it and all numbers to its right with zeroes.

Explanation:

To round 608,149 to the nearest thousand, you need to look at the digit in the hundreds place. This is the 1 in 608,149. Because 1 is less than 5, you leave the number in the thousands place (the 8 in 608,149) as it is, and change all the numbers to its right (149) in the original number to zeros. So 608,149 rounded to the nearest thousand is 608,000.

Learn more about Rounding Numbers here:

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Write the equation for the line that passes through (-5, -4) and (3, 12)

Answers

Answer:

$y=2\,x+6$

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points, using the slope formula:

$slope=(y_2-y_1)/(x_2-x_1) =(12-(-4))/(3-(-5)) =(16)/(8) =2$

Now, you can write the general equation of the line in slope-intercept form as:

$y=m\,x+b\ny=2\,x+b$

and find the line's y-intercept (b) by using either one of the given points - for example (3, 12):

$y=2\,x+b\n12=2\,(3)+b\n12=6+b\nb=6$

Therefore, the equation of the line is:

$y=2\,x+6$

Answer:

I believe it is y=2x+6.

Is 16-7=4+5 true, false, or open?

Answers

Answer:

open

Step-by-step explanation:

Answer:

This is True.

Step-by-step explanation:

16-7=9

5+4=9

same ting