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GaryK [48]
3 years ago
10

First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double airlin

e miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1184 registered. Give a 95% confidence interval for the true proportion of those cardholders who will register for the offer.
Mathematics
1 answer:
raketka [301]3 years ago
6 0

Answer:

The answer is "0.02235 \ and \ 0.02501".

Step-by-step explanation:

Given:

x= 1184\\\\n = 50000\\\\c = 95\% = 0.95

The sample proportion is computed by subtracting that sample size by both the successes:

\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368

Determine z_{\frac{\alpha}{2}} = Z_{0.025} using table Z in Table Z for trust level 1 -\alpha = 0.95

add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):

So, the boundaries of the confidence interval:

\to \hat{p}-z_{\frac{\alpha}{2}} \cdot  \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot  \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\

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Calculate the slope of the line between (3,7) and (2,7).
goldenfox [79]

Answer:

It’s y2-y1 over x2-x1

Y2 is 5 and y1 is 5

5-5

X2 is 7 and x1 is -2

7- negative 2

5-5 is 0

7- negative 2 is 9

Slope is 0

Step-by-step explanation:

Hope this helps:)

7 0
2 years ago
Read 2 more answers
The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of
vekshin1

Width = w

Length = 2w + 5/2

Perimeter = 2(Length + Width)

Perimeter = 2( w + 2w + 5/2)

Perimeter = 2(3w + 5/2)

Perimeter = 6w + 5

-----------------------------------------------------

Answer: The perimeter is 6w + 5 (Answer D)

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6 0
2 years ago
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A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm. What is the volume of the bowl?
Delicious77 [7]

Answer:

(4500(Pi))/2 or 7068.585

Step-by-step explanation:

r = 15 cm

volume of a sphere:

(4/3)(Pi)r^3

Therefore:

(4/3)(Pi)15^3

15^3 = 3375

4/3 * 3375 = 4500

and since it is half a sphere (it is a bowl) the answer would be divided by two:

4500(Pi) divided by 2

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5 0
3 years ago
For the equations given below, which statement is true?
seraphim [82]

Answer:

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

equation by any value

Step-by-step explanation:

-21=14 Equ(1)

6.1=-42 Equ(2)

Multiplying the first equation by -3 will give

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Which is not equivalent to the second equation

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-63=42

Not equivalent to the second equation

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Not equivalent to the second equation

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

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3 years ago
Which of these triangles appears not to be congruent to any others shown
Wittaler [7]

Answer:

B, C, F

Step-by-step explanation:

B- has different lengths for each side and different angles

C-has different lengths for each side and different angles

F-has different lengths for each side and different angles

Non congruent triangles means if shape is reflected or rotated they would not look the same. Congruent triangles have same equal length and angles are equal in measure.

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3 years ago
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