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Nana76 [90]
3 years ago
5

University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami

ne the records for all students, the dean randomly selects 200students and finds that 118 of them are receiving financial aid. use a 98% confidence interval toestimate the true proportion of students on financial aid. express the answer in the form p± e andround to the nearest thousandth.
Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0
The confidence interval is
0.59\pm0.081

We first find p, our sample proportion.  118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081

This gives us the confidence interval 
0.59\pm0.081
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Question 2
svetoff [14.1K]

Answer:

  • A: 37/41

Step-by-step explanation:

<u>We can observe that:</u>

  • The difference of the second and third numbers is equal to 17
  • The difference of the first and fourth numbers is equal to 13

<u>Therefore the missing pair will be:</u>

  • 20+17 = 37 and 28 + 13 = 41

Correct choice is A

3 0
3 years ago
how do you solve this problem. there are approximately 2.1 million deaths per year in country A. Express this quantity as deaths
slamgirl [31]
Well... we know that... there are 365 days in a year, unless is a leap-year, but we'll use 365 anyway

and each day has 24hrs, each hr has 60 minutes

so. let us use those ratios

\bf 2.1million\iff 2.1E6\iff 2,100,000\qquad thus&#10;\\\\\\&#10;\cfrac{2100000\ deaths}{1\ year}\cdot \cfrac{1\ year}{365\ day}\cdot \cfrac{1\ day}{24\ hr}\cdot \cfrac{1\ hr}{60\ minute}

so.. multiply and simplify, cancelling out any like-units atop and bottom

notice, all we do, is use the ratios, in a way, that if we need one unit to be changed, we flip the ratio

for example, to toss away "year" unit, since in the first fraction is at the bottom, then we put it on the top on the ratio, year/year  = 1, effectively cancelling the unit
5 0
4 years ago
Read 2 more answers
Select all the statements about the situation that are true. Elena makes more money for making 10 calls than Diego makes for was
steposvetlana [31]

Answer:

B, C, E

Step-by-step explanation:

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Select all the statements about the situation that are true.

A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

Elena:

$1 = 1 call

$10 = 10 calls

Diego:

27 windows = $30

10 windows = $x

Cross product

27*x = 30*10

27x = 300

x = 300/27

x = $11.11

Statement A not true

B. Diego makes more money for washing each window than Elena makes for making each call.

Diego:

10 windows = $11.11

Each window = $11.11/10

= $1.11

Statement B is true

C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows

Elena:

20 calls = $20

Diego:

18 windows = 18 × $1.11

= $19.98

Approximately $20 to the nearest whole dollar

Statement C is true

D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.

Diego

35 × $1.11 = $38.85

Approximately $39

Elena:

40 calls = $40

Statement D is not true

E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

Statement E is true

7 0
3 years ago
The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle
ArbitrLikvidat [17]
Lets set up the relationship of the length to width:

l = 3w

Using this, we can make all the variables the same by substitution:

2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9

The width is 9, to the length must be 9*3, or 27.

Hope this helped!

4 0
3 years ago
What is the difference between postulate and theorem
Tresset [83]
A postulate (or sometimes called as an axiom) is something assumed rather than proven. A theorem is something that is proven. To make a theorem, we first start with undefined terms. Such as line, point, and plane. Then next comes the postulates. Then the definitions. And in some theorems, a previously proven theorem is sometimes used in order to prove the new theorem.
6 0
3 years ago
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