If B equals 3 then B -2 is equivalent to what

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

Olenka [21]

Answer:

a

The 90% confidence interval that estimate the true proportion of students who receive financial aid is

$0.533 < p < 0.64$

b

$n = 1789$

Step-by-step explanation:

Considering question a

From the question we are told that

The sample size is n = 200

The number of student that receives financial aid is $k = 118$

Generally the sample proportion is

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{118}{200}$

=> $\^ p = 0.59$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.645 * \sqrt{\frac{0.59 (1- 0.59)}{200} }$

=> $E = 0.057$

Generally 90% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.533 < p < 0.64$

Considering question b

From the question we are told that

The margin of error is E = 0.03

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the sample size is mathematically represented as

$[\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{2.58}{0.03} ]^2 * 0.59 (1 - 0.59 )$

=> $n = 1789$

8 0

3 years ago

Help me with these 3 questions please. aH-

Vanyuwa [196]

Answer:

1) 2/7; 43; 3/7

2) C

3) 30; 30; 10; is not; 10; is not

Step-by-step explanation:

1) y + 4/7 = 6/7

y = 6/7 - 4/7

y = 2/7

17 + b = 60

b = 60 - 17

b = 43

6/7 = m + 3/7

m = 6/7 - 3/7

m = 3/7

2) 11.5 - x = 5.25

x = 11.5 - 5.25

x = 6.25

3) he can substitute 30 for t.

He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).

Since 15 is not equal to 10, Harry's solution is not correct

3 0

3 years ago

Find AC, round to the nearest whole number

xxMikexx [17]

20

Triangles are 180 total so just add 118 and 22 then subtract it from 180 for your answer

8 0

3 years ago

Find the quotient of 2. 5 × 10-3 and 7. 1 × 106. What can be concluded about the solution? Check all that apply. The E indicates

Elza [17]

The value of the expressions (2.5 × 10⁻³) and (7.1 × 10⁶) in scientific notation is 3.5211 × 10⁻¹⁰. Then the correct option is B.

<h3>What is division?</h3>

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are 2.5 × 10⁻³ and 7.1 × 10⁶.

We have to divide 2.5 × 10⁻³ from 7.1 × 10⁶.

$\dfrac{2. 5 * 10^{-3} }{ 7. 1 * 10^6}\\\\3.5211 * 10 ^{-10}$

The value of the expressions (2.5 × 10⁻³) and (7.1 × 10⁶) in scientific notation is 3.5211 × 10⁻¹⁰. Then the correct option is B.

More about the division link is given below.

brainly.com/question/369266

5 0

2 years ago

Use the letters a, b, c, d, e, and f. write all possible selections of three letters that can be formed from the letters. (the o

tamaranim1 [39]

There are 6C3 = 20 such combinations.
abc, abd, abe, abf
acd, ace, acf, ade
adf, aef, bcd, bce
bcf, bde, bdf, bef
cde, cdf, cef, def

3 0

3 years ago