What is the function equation of the graph shown below?

Mathematics

1 answer:

tatiyna3 years ago

8 0

Answer:

$p(x)=\sqrt[3]{2-x}$

Step-by-step explanation:

we know that

The parent function of the graph is equal to

$f(x)=\sqrt[3]{-x}$

The rule of the translation is equal to

$(x,y)-----> (x+2,y)$

The translation is 2 units to the right

applying the transformation

f(x)------> p(x)

The function of the graph is equal to

$p(x)=\sqrt[3]{-(x-2)}$

$p(x)=\sqrt[3]{2-x}$

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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

p(s) is the sample proportion of high school teachers who were single ( $\frac{36}{180} =0.2$ )
p is the proportion of elementary teachers who were single ( $\frac{15}{100} =0.15$ )