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34kurt
2 years ago
12

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home

on the road connecting the mall and her house. What is her total distance traveled?
A) 17 miles
B) 32 miles
C) 37 miles
D) 40 miles

Mathematics
1 answer:
netineya [11]2 years ago
4 0
The answer is D 40miles

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g In a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained
Marat540 [252]

Answer:

95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

Step-by-step explanation:

We are given that in a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained a flu shot.

Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;

                          P.Q. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of residents 65-years or older who had obtained a flu shot = \frac{28}{111} = 0.25

          n = sample of residents 65-years or older = 111

          p = population proportion of residents who were getting the flu shot

<em>Here for constructing 95% confidence interval we have used One-sample z test for proportions.</em>

<u>So, 95% confidence interval for the population proportion, p is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } },\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ]

   = [ 0.25-1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } } , 0.25+1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } } ]

   = [0.169 , 0.331]

Therefore, 95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

7 0
3 years ago
HEEEEEELLLLLLLPPPPP !!!!!!!!!​
ludmilkaskok [199]

Calculate the length of each path using the law of cosines:

AB = √(8^2 + 8^2 - 2*8*8*cos(36)

AB = 4.94 ft.

XY = √(8^2 + 8^2 - 2*8*8*cos(79)

XY = 10.18 ft.

ZY = √(8^2 + 8^2 - 2*8*8*cos(65)

ZY = 8.60 ft.

XY is longer than ZY and ZY is longer than AB

The first choice is correct.

5 0
3 years ago
Read 2 more answers
I WILL MARK AS BRAINLIEST!!
8_murik_8 [283]

Answer:

B

Step-by-step explanation:

bc i said so

6 0
3 years ago
Read 2 more answers
Lol I’m struggling very much
Alex73 [517]

Look all you have to do is with each question draw a line to the answer I am going to help you. Mark the 3rd question with answer A Mark the second question with b and the first one C I might be wrong with the first one. Hope this helps  

3 0
3 years ago
Can you help me solve this please step by step
eimsori [14]
First, the values of 2sqrt(3) or 3sqrt(3) are not even twice the length of the given base, 3.

Next, I would say that 6 is the better answer than 12, assuming that the triangle is”drawn-to-scale”.

Finally, I think the hypotenuse is 6.

8 0
2 years ago
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