What is the constant of proportionality for the graph? The graph is attached

Mathematics

1 answer:

hichkok12 [17]4 years ago

5 0

The answer is A. 0.5.

When you go out 1 on the X-axis you go up 0.5 on the Y-axis, thus the ratio is 0.5.

This is not easy to see, but if you go out 10 on the X-axis, it is easy to see that the Y-axis is at 5. Again giving the ratio 5/10=0.5

You might be interested in

The length of a rectangular picture frame is 2 inches longer than twice the width. If the perimeter of the frame is 34 inches, f

lyudmila [28]

The length, l, is 2 more than twice the width, w.
l= 2w+2 (2 more than twice w)
In a rectangle, we have two of the same lengths and two of the same widths.
2l+2w=34
Divide by 2 on each side.
l+w=17
We remember that l is 2w+2
Substituting that back in we get,
2w+2+w=17
3w+2=17
3w=15
w=5
We sub w back into l+w=17
l+5=17
l=12
The dimensions are 5 by 12 inches.

7 0

3 years ago

Read 2 more answers

According to a poll, 83% of California adults (418 out of 506 surveyed) feel that education is one of the top issues facing Cali

SpyIntel [72]

Answer:

A point estimate for the true population proportion is $\hat{p} = 0.83$ and the 90% confidence interval is (0.8025, 0.8575)

Step-by-step explanation:

We have a large sample of people of size n = 506. Let X be the random variable that represents the number of adults who feel that education is one of the top issues facing California. We are interested in the unknown true proportion p of adults who feel that education is one of the top issues facing California. A point estimate for the true population proportion is given by $\hat{p}$ = X/n = 418/506 = 0.83, the standard deviation is given by $\sigma_{\hat{p}} = \sqrt{p(1-p)/n}\approx\sqrt{\hat{p}(1-\hat{p})/n} = \sqrt{(0.83)(0.17)/506} = 0.0167$ . Therefore, the 90% confidence interval for the true population proportion is $\hat{p}\pm z_{0.1/2}\sqrt{\hat{p}(1-\hat{p})/n}$ , i.e., $0.83\pm z_{0.05}0.0167$ , i.e., $0.83\pm (1.6448)(0.0167)$ , (0.8025, 0.8575).

7 0

3 years ago

Find the value of x. Round the length to the nearest 10th the diagram is not shown to scale

Ilia_Sergeevich [38]

In the given diagram:
measure angle DAB + measure angle BAC = 90 degrees
we are given that measure angle DAB = 10 degrees
Therefore:
measure angle BAC = 90 - 10 = 80 degrees

Now, triangle ABC is a right-angled triangle which means that we can use the trigonometric functions.
The function that we will use is:
cos theta = (adjacent) / (hypotenuse) where
theta = 80 degrees
adjacent = 500
hypotenuse is "x" that we want to calculate.

Substitute to get x as follows:
cos 80 = 500 / x
x = 500 / cos 80 = 500 / 0.1736 = 2879.4 m