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3 years ago

Find the inverse of each function. f(n)=n+4/2

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Step-by-step explanation:

$f(n) = \frac{ n +4}{2} \\ let \: f(n) = y \implies \: n = {f}^{ - 1}(y) \\ \therefore \: y = \frac{ n +4}{2} \\ \\ \therefore \:2 y = n +4 \\ \\ \therefore \:2 y - 4= n \\ \therefore \:n = 2y - 4 \\ \\ \therefore \: {f}^{ - 1}(y) = 2y - 4 \\ \\ \red{ \boxed{\bold{\therefore \: {f}^{ - 1}(n) = 2n- 4} }}$

(Replacing y by n)

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Peter added the following fractions<br><br>Is Peter correct?

nexus9112 [7]

Answer:i think it would most likely be c

Step-by-step explanation:

since you can only add denominators when they are the same number

8 0

3 years ago

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the perimeter of one rectangle is 120cm. another rectangle with twice the length amd and one third the width has a perimeter of

fgiga [73]

Answer:

Dimensions of 1st rectangle,

length = 39 cm, width = 21 cm.

Dimensions of the 2nd rectangle,

length = 78 cm, width = 7 cm.

Step-by-step explanation:

Let the dimensions of the 1st rectangle be,

Length = x, width = y

so the dimensions of the 2nd rectangle becomes,

Length = 2x, width = y/3

perimeter of the first rectangle,

2(x+y)=120 --------- (i)

perimeter of the 2nd rectangle,

2(2x+y/3)=170 ---------(ii)

if we solve equation (i) and (ii), we'll get,

x = 39

y = 21

for the other rectangle, 2x = 78, y/3 = 7.

Answered by GAUTHMATH

3 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

Evaluate the expression<br> cos(30°)=

alina1380 [7]

Answer:

$cos (30) =\sqrt{\frac{3}{2} } =0.8660$

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

3 0

2 years ago

Read 2 more answers

May someone please help mee????

Arlecino [84]

Answer:

width of rectangle is 87

Step-by-step explanation:

because perimeter of rectangle = 2(l+w)

3 0

3 years ago