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antoniya [11.8K]
3 years ago
15

Sue and Javier are working on a statistics project to estimate the proportion of students at their school who have a pet dog. Su

e selects a random sample of 81 students from the 2,400 students at their school, and Javier selects a separate random sample of 64 students. They will both construct a 90 percent confidence interval from their estimates. Consider the situation in which the sample proportion from Sue’s sample is equal to the sample proportion from Javier’s sample. Which of the following statements correctly describes their intervals?
Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Answer:

the width of sue's interval will be narrower than javier's.

Step-by-step explanation:

in this problem, i do believe that sue's interval will be more narrow. in the formula,

p-hat ± \sqrt{phat(1-phat)/ n ,

a larger "n" value will lead to a smaller standard error. given that the population proportion is the same for both, and the sample size is the only difference, the standard error of sue's interval will be smaller than javier's, therefore making her whole confidence interval smaller.

again, i do believe this is correct, this is what i have in my AP stat notes. hope this helps!

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Determine the equation of the circle graphed below. <br><br> ( please help me )
Brums [2.3K]

Answer:

Equation : \\(x+3)^2 + ( y -2)^2 = 36

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: <em><u>Find the centre</u></em>

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

                        Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) =  (-3, 2)

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : <u>Find radius</u>

<u></u>Radius = \frac{Diameter }{2}<u></u>

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

 Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\

                 = \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12

Therefore ,

       Radius = \frac{12}{2} = 6

Step 3 : <u>Equation of the circle</u>

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

       (x - h)^2+(y -k)^2 = r^2

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

    (x - (-3))^2 +  (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36

5 0
2 years ago
A stereo system cost $275. It was on sale for 15% off. The sales person receives a 2% commission. How much of a commission do th
kkurt [141]
The price of the stereo on sale   
is 
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8 0
3 years ago
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miv72 [106K]

Answer:

23

Step-by-step explanation:

Remember PEMDAS/order of operations (Parentheses, exponent, multiplication, division, addition, subtraction)

10*1/2+(-6)(-3)

10*1/2+18

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23

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3 years ago
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vlada-n [284]

The sales price is 85% of the original $2,200, which can be calculated as follows: .85(2,200) = 1870 Assuming you meant 15% discount price..

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Now we add the sale price and the sales tax: 1870 + 130,90 = $2000.90 for the total cost.

6 0
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Answer:

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