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lesya [120]
3 years ago
12

Please help! Will give good rating.

Mathematics
1 answer:
Pavel [41]3 years ago
4 0
I think the mean would be the best because the data distribution is neither the mean nor median
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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time
d1i1m1o1n [39]

Answer:

a)s=\sqrt{1+d^2}

b)d(t)=500t

c)s(t) =\sqrt{1+250000t^2}

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

Hypotenuse^2=Perpendicular^2+Base^2

s^2=1^2+d^2

a) s=\sqrt{1+d^2}

(b) Express d as a function of the time t (in hours) that the plane has flown.

distance = speed \times time

d(t)=500t

(c) Use composition to express s as a function of t.

s(t) =\sqrt{1+d^2}

using b

s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}

6 0
3 years ago
The sum of 8 and B is greater than 22
Alinara [238K]

Given:

The sum of 8 and B is greater than 22.

To find:

The inequality for the given statement and its solution.

Solution:

We know that, sum of two number is the addition of two numbers.

Sum of 8 and B = 8+B

It is given that, the sum of 8 and B is greater than 22.

8+B>22

Subtracting 8 from both sides, we get

8+B-8>22-8

B>14

Therefore, the required inequality for the given statement is 8+B>22 and the solution is B>14.

3 0
3 years ago
Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their
Andreas93 [3]

Answer:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

Step-by-step explanation:

Information given

X= 48 number of people who rent their home

n= 250 represent the sample size

\hat p =\frac{48}{250}= 0.192 represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.645

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

3 0
3 years ago
Hans leaned a 17 ft ladder against his house. He placed the base of the ladder 8 ft from his house, and the top of the ladder re
Fynjy0 [20]

Answer:

b

Step-by-step explanation:

so 17 squared minus 8 squared is 225. the square root of 225 is 15

7 0
3 years ago
What is the slope<br> A. Undefined <br> B. 0
Burka [1]
B. is the correct answer love
6 0
3 years ago
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