Ask question

Ask question

All categories

3 years ago

12

An environmentalist tracks the total number of trees y in a park after x years of a planting program. The line of best fit for t

he data is represented by the equation y = 4x + 15. What is the percent change in the total number of trees from x = 3 to x = 6? Round your answer to the nearest percent.

1 answer:

guapka [62]3 years ago

3 0

Answer:

44.4%

Step-by-step explanation:

Given that:

Equation of best fit : y = 4x + 15

Where, y = number of trees x years after a planting program

When x = 3

y = 4(3) + 15 = 12 + 15 = 27 trees

When x = 6

y = 4(6) + 15 = 24 + 15 = 39 trees

Percentage change in total number of trees:

((39 - 27) / 27) * 100%

(12 / 27) * 100%

0.44444 * 100%

= 44.4%

You might be interested in

Which polynomial is in standard form?

miv72 [106K]

Answer:

(C) 19x+6^2+2

Step-by-step explanation:

8 0

3 years ago

A survey was conducted in the United Kingdom, where respondents were asked if they had a university degree. One question asked,

katovenus [111]

Answer:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

$p_v =2*P(Z>1.620)=0.105$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

Step-by-step explanation:

Data given and notation

$X_{1}=45$ represent the number of correct answers for university degree holders

$X_{2}=57$ represent the number of correct answers for university non-degree holders

$n_{1}=373$ sample 1 selected

$n_{2}=639$ sample 2 selected

$p_{1}=\frac{45}{373}=0.121$ represent the proportion of correct answers for university degree holders

$p_{2}=\frac{57}{639}=0.0892$ represent the proportion of correct answers for university non-degree holders

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportions are different between the two groups, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{45+57}{373+639}=0.101$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =2*P(Z>1.620)=0.105$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

7 0

2 years ago

Which equation is equivalent to 5x = In 8?

emmainna [20.7K]

Answer:

5x= in 8

Step-by-step explanation:

There is no other equation so i hope this is right

4 0

2 years ago

Write the following functions with the following characteristics. 5) Given a quadratic function that has shifted 10 to the right

lapo4ka [179]

Answer:

$(x-10)^{2} -7$

5 0

1 year ago

1. The great pyramid at Giza is the largest pyramid in the world, the area of its square base is 52,441 m squared, what is the l

AlladinOne [14]

Answer:

The length of each side of the base is $229\ m$

Step-by-step explanation:

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of a square

In this problem we have

$A=52,441\ m^{2}$

so

substitute in the formula

$52,441=b^{2}$

Square root both sides

$b=\sqrt{52,441}\ m$

$b=229\ m$

3 0

2 years ago