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3 years ago

14

Raphael works 12 hours each week. He earns £4 per hour. Tom saves 1/3 of earnings each week. How many weeks does it take Tom to

save £80?

1 answer:

olga_2 [115]3 years ago

7 0

Raphael works 12 hours each week. He earns £4 per hour. Tom saves 1/3 of earnings each week. How many weeks does it take Tom to save £80?

5 weeks

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Complete the table below to solve the equation $2x + 12 = 4^x$

IrinaVladis [17]

2(2) + 12 = 4^(2)
4 + 12 = 16
16 = 16

only x = 2 will have f(x)=g(x) so x = 2 is answer

5 0

3 years ago

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

The second question

stich3 [128]

2)

A: 5

B: 9a & a (from a/6)

C: -5 & ÷4

D: -5 & 9a

I haven't done algebra in a year, so don't think my answers are perfect!

definitions:

term: something separated by a sign/symbol (÷, ×, - +) (a/6 are two separate terms, ÷)

constant terms: variables that can be solved.

unlike terms: terms that don't "go" together, you can't subtract 5 from 9a because there's a variable in the way (eyy that rhymes)

like terms: terms that you can add/subtract/multiply/divide to another term

(another answer to c is 9a & a)

7 0

3 years ago

WILL GIVE BRAINLIEST + 5 STAR<br><br> x=<br> Length=<br> Width=

jarptica [38.1K]

Answer:

16

14

8

Step-by-step explanation:

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3 years ago

Factor out the greatest common factor. <br>2f^3-8f^2

ella [17]

Answer:

Step-by-step explanation:

8f² = 2³f²

GCF of 2f³ and 8f² = 2f²

2f³ - 8f² = 2f²(f - 4f)

8 0

3 years ago