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k0ka [10]
4 years ago
14

A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units. What is

the value of x? Enter your answer in the box.
Mathematics
1 answer:
Luba_88 [7]4 years ago
8 0
We know that
<span>the garden's perimeter is 112 =[(x+4)+(x+4)+(x+4)+(x+4)]  

112=4*[x+4]------------ > 112/4=x+4
x=(112/4)-4=28-4=24 units

the answer is x=24 units</span>
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5 0
3 years ago
According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

6 0
3 years ago
Can somebody help me?
ss7ja [257]

Answer:

1)  Pre-image.

Step-by-step explanation:

2) Translation.

5 0
3 years ago
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