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Marianna [84]
3 years ago
14

Hello wonderful children! ヽ(o^▽^o)ノ

Mathematics
1 answer:
valentina_108 [34]3 years ago
6 0

ello

Step-by-step explanation:

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The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels an
lions [1.4K]

Answer:

Confidence interval:  (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n =  100,000

Number of people who donated, x = 4781

\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781


95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.04781
\pm 1.96(\sqrt{\dfrac{0.04781
(1-0.04781
)}{100000}})\\\\=0.04781
\pm 0.00132\\\\=(0.04649,0.04913)

is the required 95% confidence interval  for the true proportion of their entire mailing list who may donate.

3 0
3 years ago
If 3, x, y, -9 are in A.P, find the values of x and y.​
Serggg [28]

Answer:

  • x = -1
  • y = -5

Step-by-step explanation:

The common difference (d) can be found using the first and 4th terms:

  a1 = 3

  a4 = a1 +d(4 -1)

  -9 = 3 +3d . . . . . simplify

  -3 = 1 + d . . . . . . divide by 3

  -4 = d . . . . . . . . . subtract 1

Then ...

  x = a1 + d = 3 -4 = -1

  y = x + d = -1 -4 = -5

The values of x and y are -1 and -5, respectively.

6 0
3 years ago
Alang owns a small business selling ice-cream. He knows that in the last week 62
anzhelika [568]

Step-by-step explanation:

last week there were

62 + 60 + 2 = 124 customers.

that means that the fraction of the customers, who paid by credit card, was

2/124 = 1/62

in situations like that, when we use history data and try to predict future behavior, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/62, if customers to use credit cards.

for the absolute number of predicted credit card customers we multiply the predicted number of customers by the expected fraction

1000 × 1/62 = 500/31 = 16.12903226... ≈ 16

so, he expects 16 credit card customers.

5 0
2 years ago
Find the equation of the line<br> passing through the points 1,-5)<br> and (9,11).<br> y = 2x + [?]
Naily [24]

Answer:

y = 2x - 7

Step-by-step explanation:

Looks like we already have the slope of this line:  It is 2.  Working with the point (1, -5), we have x = 1 and y = -5 and can from this info easily find the y-intercept, b:

y = mx + b becomes

y  = 2x + b, which in turn becomes

-5 = 2(1) + b, or

b = -7,

and so the desired equation is y = 2x - 7

3 0
3 years ago
Calculate the missing angle and give a reason for your answer.
alekssr [168]
Answer: 54 degrees
explanation: i haven’t learned this yet but it looks like those two angles are complementary angles so the other one would have to 54 so it adds up to 90 degrees
3 0
3 years ago
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