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GalinKa [24]
3 years ago
10

A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtain

ed if she wishes the estimate to be within 0.01 with 95​% confidence if ​she uses a previous estimate of 0.32​?
Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer: 8359

Step-by-step explanation:

The formula for sample size needed for interval estimate of population proportion :-

n=p(1-p)(\frac{z_{\alpha/2}}{E})^2

Given : The significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}}=z_{0.025}=\pm1.96

Previous estimate of proportion : p=0.32

Margin of error : E=0.01

Now, the required sample size will be :-

n=0.32(1-0.32)(\frac{1.96}{0.01})^2=8359.3216\approx8359

Hence, the required sample size = 8359

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Charlie runs at a speed of 3 yards per second . About how many miles per hour does Charlie run?
MrMuchimi
Ok so this can get tricky, it is basically just asking for you to perform many unit conversions. I'll try to simplify it for you here while still maintaining the explanation. If you have any questions about this process feel free to message me. 

3 yards = ____ miles (conversion factor is 1760 because there are 1760 yards in a mile) 

3/1760 = 0.017 miles,

Now we just need to convert seconds to hours. 

1 second is how many mins, then how many mins in an hour? 

360 seconds in an hour. 

Ok now we just need to combine these two pieces of info, 
0.017/360 = 4.72222 miles per hour. Thus 4.72 is the answer.
6 0
3 years ago
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What is the area of triangle ABC?
miskamm [114]

Answer:

<h2>7 square units</h2>

Step-by-step explanation:

As you can observe in the image attached, we know the coordinates of each vertex of the triangle.

To find the area using only its vertex coordinates, we need to use the following formula

A=\frac{1}{2}[x_{1}(y_{2} -y_{3}+x_{2}(y_{3} -y_{1} )+x_{3}(y_{1}-y_{2}  )   )

Where the coordinates are

A(1,1)\\B(4,0)\\C(3,5)

Replacing coordinates, we have

A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0  )  ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7

Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.

8 0
3 years ago
6. An urn contains 15 red balls and 8 blue balls. In each draw, one ball is extracted at random. It is then returned to the urn,
Leviafan [203]

Answer:

P(C4) = 0.0711

Step-by-step explanation:

consider the first draw = 15/23  since it cannot be a blue ball

The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn

the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn

therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41

Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41

P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )

= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711

8 0
3 years ago
Triangle XYZ is pictured below.
Butoxors [25]

Answer:

C

Step-by-step explanation:

sine uses opposite over hypotenuse

the opposite of x is 20 and the hypotenuse is 29

so the answer is 20/29

4 0
3 years ago
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The vertices of an isosceles triangle are A(-4, 0), B(-10, -2) and C(-6, -6).
rosijanka [135]
Y = - x + 4 that’s the answer hope it helps
6 0
2 years ago
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