State the smallest possible value of x if x is an integer for the following inequality.

Factor of 28 that will add or subact to get 3

Crazy boy [7]

4 times 7 gets 28 and 7-4 gets you 3

7 0

3 years ago

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

Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot that

coldgirl [10]

Answer:

431.775 ft

Step-by-step explanation:

So basically we should first find the area of the rectangles which is 28 ft * 15 ft, which you get 420. Next for the semicircle, the diameter is 15 but we need the radius so you divide that by 2 to get 7.5 as the radius. Then u multiply 7.5 * π, or 3.14 to get 23.55. But since its a semicircle, or half a circle we divide 23.55 by 2 which is 11.775. Then we just add the results which is 420 ft and 11.755 ft to get a total area of 431.775 ft.

-Hope this helped!

4 0

3 years ago

Compare the decimals 117.93 and 117.859.

LiRa [457]

You need to see which is more

3 0

3 years ago

What is the area of the triangle? no links just the answer plz.

nikitadnepr [17]

Answer:

A = 25

Step-by-step explanation:

Base = |-2-(-7)| = |-2+7| = 5

equation of the line that includes the base

x = 6 (because it is parallel to y axis)

the height passes to the point (-4,-4) and must be perpendicular to the base

the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0

so the equation of the line is y= -4

the point (6,-4) is where the two lines intercept and it is the point where the height hit the base

height = |-4-6| = 10

A = (base x height)/2 = (5x10)/2 = 25

3 0

3 years ago