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Mathematics

1 answer:

wlad13 [49]2 years ago

6 0

9514 1404 393

Answer:

DECB

Step-by-step explanation:

Correct except for graph 2. That graph has a solid line, a y-intercept of -2 and a slope of 4. Its inequality is ...

y ≤ 4x -2 . . . . choice E

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The pitch of a roof is its slope. The roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft.

PIT_PIT [208]

If we discuss this as if it is a triangle then the "rise" is the vertical side and the "run" is the adjacent side.
So the ratio of the rise to the run is 8 / 15 which equals 0.5333333333 
To find the angle of this roof pitch we look up the arc tangent of 0.5333333333 and we find that is 28.072 Degrees

Trigonometry Calculator:
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2 years ago

How would I get this information into Y=Mx+B

andriy [413]

One question at a time, please. I will focus on #16 and ignore #18.

slope: 3/4 line passes thru (-8,2)

Write out y = mx + b. Subst. 2 for y. Subst. -8 for x Subst. (3/4) for m:

2 = (3/4)(-8) + b. Find b. 2 = -6 + b => b = 8

So your equation is y = (3/4)x + 8. Please, use ( ) around those fractions!

3 0

3 years ago

In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct 90% confiden

hram777 [196]

Answer:

(0.4958, 0.7422)

Step-by-step explanation:

Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is $\hat{p}=26/42=0.6190$ . The estimated standard deviation is given by $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{(0.6190)(1-0.6190)/42}=0.0749$ . Because we have a large sample, the 90% confidence interval for p is given by $0.6190\pm z_{0.05}0.0749$ where $z_{0.05}=1.6448$ is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is $0.6190\pm (1.6448)(0.0749)$ , i.e., (0.4958, 0.7422).