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2 years ago

If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?

Mathematics

2 answers:

ipn [44]2 years ago

7 0

Answer:

$(g\circ f)(-1)=36$

Step-by-step explanation:

We are given the two functions:

$f(x)=-x+5\text{ and } g(x)=x^2$

And we want to find:

$(g\circ f)(-1)$

This is equivalent to:

$=g(f(-1))$

So, evaluating f(-1) first, we acquire:

$f(-1)=-(-1)+5=6$

Then by substitution:

$=g(6)$

So:

$=(6)^2=36$

Therefore:

$(g\circ f)(-1)=36$

Your answer is indeed correct.

KATRIN_1 [288]2 years ago

3 0

Answer:

please refer to the above attachment.

<h3>36 is the right answer.</h3>

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A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teache

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Answer:

By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single

Step-by-step explanation:

let p1 be the proportion of elementary teachers who were single

let p2 be the proportion of high school teachers who were single

Then, the null and alternative hypotheses are:

$H_{0}$ : p2=p1

$H_{a}$ : p2>p1

We need to calculate the test statistic of the sample proportion for elementary teachers who were single.

It can be calculated as follows:

$\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

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p is the proportion of elementary teachers who were single ( $\frac{15}{100} =0.15$ )

N is the sample size (180)

Using the numbers, we get

$\frac{0.2-0.15}{\sqrt{\frac{0.15*0.85}{180} } }$ ≈ 1.88

Using z-table, corresponding P-Value is ≈0.03

Since 0.03>0.01 we fail to reject the null hypothesis. (The result is not significant at α = 0.01)

8 0

3 years ago

The value of Peter's house has risen 20% a year for the last 3 years. If the value of Peter's home 3 years ago was $110,000.00,

IRISSAK [1]

Increase $110,000 by 20% 3 times.

110,000 x 0.2 = 22000
(0.2 is 20% as a decimal, we needed to convert it to multiply it)

So we must add 22000 to 110,000, then take 20% of the new cost, and repeat.

Add them
110,000 + 22000 = 132000

Take 20% of new value
132000 x 0.2 = 26400

Add that
132000 + 26400 = 158400

Take another 20% of that
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Add them
158400 + 31680 = 190080

So the value is now $190,080

A much more efficient way to do this would be multiplying 1.2 instead of 0.2, and skipping the adding part, as you already took 100% of it and are adding 20% more.

Hope this helps!

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