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3 years ago

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Golf course designer Roberto Langabeer is evaluating two sites, Palmetto Dunes and Ocean Greens, for his next golf course. He wa

nts to prove that Palmetto Dunes residents (population 1) play golf more often than Ocean Greens residents (population 2). Roberto commissions a market survey to test this hypothesis. The market researcher used a random sample of 64 individuals from each suburb, and reported the following: 1 = 15 times per month and 2 = 14 times per month. Assume that σ1 = 2 and σ2 = 3. With = .01, the observed z value is _________________.

1 answer:

Scilla [17]3 years ago

3 0

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.

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Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7

Mariana [72]

We are given the following functions

$\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}$

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

$\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}$

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

$\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

Therefore, f(g(x) and g(f(x)) are

$\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

5 0

1 year ago

Please help me please

qaws [65]

Answer:

Answer is a.multiplication.

Step-by-step explanation:

I hope it's helpful!

8 0

3 years ago

I'll give brainliest

Tpy6a [65]

Given:

$\angle a$ and $\angle b$ are complementary angles.

$\angle a=32^\circ$

To find:

The measure of $\angle b$ .

Solution:

According to the definition of the complimentary angles, the sum of two complementary angles is always 90 degree.

It is given that, $\angle a$ and $\angle b$ are complementary angles. So,

$\angle a+\angle b=90^\circ$

$32^\circ+\angle b=90^\circ$

$\angle b=90^\circ-32^\circ$

$\angle b=58^\circ$

Therefore, the measure of $\angle b$ is 58°.

3 0

4 years ago

A sport shop has 30 employees. 80% of the employees work part time. How many part-time employees does the sports shop have?

AURORKA [14]

Answer:

they have 24 part time employees

Step-by-step explanation:

multiply 30 by .8 (which is 80% in decimal form) and you get 24. subtract that from 30 and you get 6 extra employees. 24 is the answer.

8 0

4 years ago

Read 2 more answers

Graph a line that contains the point (-5,-3) and has a slope of -2

nikitadnepr [17]

Given:

The line contains the point (-5,-3) and has a slope of -2.

To find:

The graph of the line.

Solution:

The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope.

$y-(-3)=-2(x-(-5))$

$y+3=-2(x+5)$

$y+3=-2x-10$

Subtracting 3 from both sides, we get

$y=-2x-10-3$

$y=-2x-13$

So, the equation of line is $y=-2x-13$ .

Putting x=0, we get

$y=-2(0)-13$

$y=0-13$

$y=-13$

It means, the line also passes through (0,-13).

Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given line is shown below.

6 0

3 years ago