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son4ous [18]
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.
Mathematics
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%

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Answer:

(C) 19x+6^2+2

Step-by-step explanation:

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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

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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

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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

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2 years ago
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