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2 years ago

There are currently 502 students at Hendrick Middle School. If that number is continuously

Mathematics

1 answer:

Alisiya [41]2 years ago

7 0

Answer:

In the next 31 years

Step-by-step explanation:

In this question, we are tasked with calculating the number of years it will take for a school’s population to reach a certain amount of it is increasing at a certain rate.

We can use a mathematical exponential approach to solve this.

Let’s say;

P = I( 1 + r)^t

where P is the projected population at 926

I is the initial population at 502

r is the percentage change or rate at 2% which is same as 2/100 = 0.02

and t is time

Plugging these values, we have

926 = 502(1 + 0.02)^t

Divide through by 502

1.845 = 1.02^t

take the logarithm of both sides

log 1.845 = tlog 1.02

t = log 1.845/log 1.02

t = 30.9 = 31 years

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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

7 0

2 years ago

PLEASE HELLP Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer

Anna11 [10]

Answer:

Part A:

(1) x + y = 95

(2) x = y + 25

Part B:

The number of minutes Eric spends playing volleyball each day is 35 minutes

Part C:

It is not possible for Eric to have spent exactly 35 minutes playing basketball

Step-by-step explanation:

The total time Eric plays basketball and volleyball = 95 minutes

The time duration Eric plays basket ball = x

The time duration Eric plays volleyball = y

Part A:

The pair of relationships between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) are;

(1) x + y = 95

(2) x = y + 25

Part B:

By substituting the value of x in equation (2) into equation (1), we have;

x + y = (y + 25) + y = 95

2·y + 25 = 95

2·y = 95 - 25 = 70

y = 70/2 = 35 minutes

Therefore, Eric spends 35 minutes playing volleyball every day

Part C:

It is not possible for Eric to have spent only 35 minutes playing basketball because, given that he plays basketball for 25 minutes longer than he plays volley, the number of minutes he spends playing volleyball will then be given as follows;

x = y + 25

35 = y + 25

y = 35 - 25 = 10 minutes

The total time = x + y = 10 + 35 = 45 minutes ≠ 95 minutes.

3 0

2 years ago

Where is the point of discontinuity of y =<br> -4x+81/x-2<br> ?

Genrish500 [490]

Answer:

x = 2

Step-by-step explanation:

y = $\frac{-4x+81}{x-2}$

If the denominator is equal to zero , then y is undefined.

this discontinuity can be found by equating the denominator to zero and solving for x.

x - 2 = 0 ⇒ x = 2 is the point of discontinuity

4 0

2 years ago

I need the answer will mark

zvonat [6]

Answer:

z to the 10th power

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Can you help me with this questions?

Valentin [98]

Answer:

Step-by-step explanation:

8 0

2 years ago