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Crank
3 years ago
9

The mean of a set of data is 45 years. Find the missing numbers in the data set {40, 45, 48, ?, 54, ?, 45}. Explain the method o

r strategy you used.
Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0
There are 7 numbers.  7 X 45 equals 315.  40+45+48+54+45=232.
315-232=83.

The 2 numbers can each have different values, such as 41 and 42, or 40 and 43.  The numbers must add up to 83, though.
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3 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
-6y + 10 = 8<br> I need to solve for y
Radda [10]

Answer:

\frac{1}{3}

Step-by-step explanation:

I did this bfor. You have got to trust me.

8 0
3 years ago
Read 2 more answers
How will fit in the box
r-ruslan [8.4K]
12 will fit in the box for number 1

6 0
3 years ago
Read 2 more answers
The area of the floor is 6,175 square feet. The length of the floor is 95 feet. The width is w feet.
Anestetic [448]

Answer:

the width is 65

Step-by-step explanation:

width x length = area

w x 95 = 6,175

6,175 / 95 = 65

65 x 95 = 6175

3 0
3 years ago
Read 2 more answers
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