I need to know this quickly please

to the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with leg of 7 sqrt 3 inches a) 15.7 in

NeX [460]

The answer would be C.
(7sqrt3)^2 + (7sqrt3)^2 = c^2
49*3 = 147
147+147= c^2
294 = c^2
sqrt 294 = c
17.1 = c

6 0

4 years ago

Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that

insens350 [35]

Complete Question

Fewer young people are driving. In 1995, 63.9% of people under years 20 old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample 1,200 of people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.

a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 1995?

Margin of error(to four decimal places)

Interval estimate (to four decimal places)

b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 2016?

Margin of error(to four decimal places)

Interval estimate to (to four decimal places)

Answer:

a

$0.6120 < p < 0.639 + 0.6670$

b

$0.3900 < p < 0.4440$

Step-by-step explanation:

Considering question a

The sample proportion is 1995 is $\^ p_1 = 0.639$

The sample size is $n = 1200$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.639 (1- 0.639)}{1200} }$

=> $E = 0.027$

Generally 95% Interval estimate is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.639 -0.027 < p < 0.639 + 0.027$

=> $0.6120 < p < 0.639 + 0.6670$

Considering question b

The sample proportion is 1995 is $\^ p_2 = 0.417$

The sample size is $n = 1200$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.417 (1- 0.417)}{1200} }$

=> $E = 0.027$

Generally 95% Interval estimate is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.417 -0.027 < p < 0.417 + 0.027$

=> $0.3900 < p < 0.4440$

6 0

3 years ago

HELP ME FAST PLEASE \

tekilochka [14]

Answer:

The area of the triangle is 28 square units

Step-by-step explanation:

First we have to calculate the length of the base of the triangle and the length of the height

To calculate the base we have to subtract point (-1 , 2) from point (7 , 2)

(7 , 2) - (-1 , 2) = ((7 - (-1)) , (2 - 2)) = (8 , 0)

because it has no component in y this means that the length of the base is 8

b = 8

To calculate the height we have to subtract point (-1 , 2) from point (-1 , 9)

(-1 , 9) - (-1 , 2) = (((-1) - (-1)) , (9 - 2)) = (0 , 7)

because it has no component in x this means that the length of the base is 7

h = 7

To calculate the area of a triangle we have to multiply the base by the height and then divide it by 2

a = (b * h)/2

a = (8 * 7)/2

a = 56/2

a = 28

The area of the triangle is 28 square units

8 0

3 years ago

Brody found a rare, one-of-a-kind character card in his new deck. The card is valued at $24.95. Every year, the card's value inc

Mademuasel [1]

The answer is D. because after the 25 years the value increases by 66$ which makes the card valued at 90.95 once you add the original value. Thus making the card less than 100$

6 0

4 years ago

Read 2 more answers

1. The function, g, is graphed below. EXPLAIN how to find x, if g(x) = -1 in sufficient<br> detail

konstantin123 [22]

<h3>Answer: x = 1</h3>

=====================================

Explanation:

Step 1) Start at -1 on the y axis.
Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
Step 3) Mark the point of intersection. Let's call it point A.
Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.

All of this is shown in the diagram below.

Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.

Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.

Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.

4 0

3 years ago