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3 years ago

What is the answer for this?

Mathematics

2 answers:

julia-pushkina [17]3 years ago

8 0

Answer:

f(g(x)) = x - 39/4
g(f(x)) = x - 39
B. No

Step-by-step explanation:

Given functions:

f(x) = 1/4(x + 13)
g(x) = 4(x - 13)

Simplified f(g(x)) and g(f(x))

f(g(x)) = 1/4(4(x - 13) + 13) = x - 13 + 13/4 = x - 39/4
g(f(x)) = 4(1/4(x + 13) - 13) = x + 13 - 4*13 = x - 39

Checking if f(x) and g(x) are inverse functions:

f(x) = 1/4(x + 13), substituting f(x) and x, with x and g(x)
x = 1/4(g(x) + 13)
4x = g(x) + 13/4
g(x) = 4x - 13/4

As we see g(x) is different from the given, so the functions are not inverse

Alika [10]3 years ago

3 0

Answer:

is no

Step-by-step explanation:

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The National Coffee Association reported that of U.S. adults drink coffee daily. A random sample of U.S. adults is selected. Rou

kirill115 [55]

The question is incomplete. The complete question is :

The National Coffee Association reported that 62% of U.S. adults drink coffee daily. A random sample of 225 U.S. adults is selected. Round your answers to at least four decimal places as needed.

Required:

a. Find the mean μ.

b. Find the standard deviation σ.

c. The standard deviation σ.

Solution :

a). Percentage of the US adults who drinks coffee daily = 62%

Therefore, the mean, μ = 0.62

b). We know, p = μ = 0.62

And n = 225

Therefore, the standard deviation is given by :

$\sigma=\sqrt{\frac{p\times (1-p)}{n}}$

$=\sqrt{\frac{0.62\times (1-0.62)}{225}}$

$=\sqrt{\frac{0.62\times 0.38}{225}}$

$=0.0324$

c). Standard deviation, σ = 0.0324

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3 years ago

I need help on this math problem.!!

vodomira [7]

x = 95°

the polygon has 5 sides so you do n - 2 which is (number of sides - 2) this gives us 3. now multiply 3 times 180, this gives us 540. now add up all the sides that you know, 104, 117, 100, 124, this is 445 now subract 445 from 540 and that is what gives us 95°

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3 years ago

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Graeco-Latin Square is a form of blocking by one variable. a form of blocking by four variables. a form of blocking by three var

antoniya [11.8K]

Answer:

A form of blocking by three variables.

Step-by-step explanation:

Graeco-Latin square design is a special type of comparative design.

Graeco-Latin square design uses 3 blocking variables unlike the 2 blocking variable as used by the standard Latin square design.

In this square design of experiment, the experimental units are grouped into three different ways.

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