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nydimaria [60]
3 years ago
12

Can someone pls give answer to number 4

Mathematics
2 answers:
Ainat [17]3 years ago
6 0

Answer:

167°

Step-by-step explanation:

Supplementary angles, by definition, when combined will give a total angle measurement of 180°.

One of the given angle measurements is 13°. Subtract 13 from the total, 180:

180 - 13 = 167°

167° is the supplement angle.

~

katen-ka-za [31]3 years ago
3 0

Step-by-step explanation:

Supplement= 180°- 13°

167° Answer

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Given:

Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale.

To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale.

To find:

The number of ounces in each container of ginger ale.

Solution:

Let n be the number of ounces in each container of ginger ale.

According to the question, the ratio of fruit juice and ginger ale is 2:5. it means,

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Answer:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236    

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Now we can calculate the p value with the alternative hypothesis using the following probability:

p_v =P(t_{(79)}>2.236)=0.0141  

Using a significance level of 0.01 or 1% we have enough evidence to FAIL to reject the null hypothesis and we can conclude that shoppers participating in the loyalty program NOT spent more on average than typical shopper at this significance level assumed

Step-by-step explanation:

Information given

\bar X=130 represent the sample mean

s=40 represent the sample standard deviation

n=80 sample size  

\mu_o =120 represent the value to verify

t would represent the statistic  

p_v represent the p value

System of hypothesis

We want to verify if  shoppers participating in the loyalty program spent more on average than typical shoppers (120) , the system of hypothesis would be:  

Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236    

Now we can find the degrees of freedom:

df=n-1=80-1=79  

Now we can calculate the p value with the alternative hypothesis using the following probability:

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Using a significance level of 0.01 or 1% we have enough evidence to FAIL to reject the null hypothesis and we can conclude that shoppers participating in the loyalty program NOT spent more on average than typical shopper at this significance level assumed

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