Does anyone know how to do this type of shape/figure

Community college students survey students at their college and ask, "Have you met with a counselor to develop an educational pl

UkoKoshka [18]

Answer:

The 90% CI for p is (0.53, 0.83)

Step-by-step explanation:

We have to develop a 90% confidence interval for the proportion of all students at the college that have met with a counselor to develop an educational plan.

We have a sample of size 25, where the sample proportion is:

$p=X/n=17/25=0.68$

The critical value of z for a 90% CI is z=1.645.

The margin of error is then:

$E=z\cdot\sqrt{\dfrac{p(1-p)}{n}}=1.645*\sqrt{\dfrac{0.68*0.32}{25}}=1.645*\sqrt{0.008704}=1.645*0.093\\\\\\E=0.15$

Then, the lower and upper bound of the confidence interval are:

$LL=\hat p-E=0.68-0.15=0.53\\\\UL=\hat p+E=0.68+0.15=0.83$

The 90% CI for p is (0.53, 0.83)

8 0

3 years ago

A high school math class has 28 students: 18 seniors and 10 juniors. What is the probability that four randomly selected student

inna [77]

Answer:

64

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help please :) You can have 15 points if you answer it correctly (if I'm not mistaken)

dusya [7]

Answer:

$466

Step-by-step explanation:

Represent her salary by s. Then the amount spent on rent is s/2.

After spending 168 on her electric and water bills, she had s/2 - 168 dollars left. She spent half of this on her phone bill, leaving her with

s/2 - 168

-------------- dollars.

2

After buying $57 worth of gas, she had

s/2 - 168

-------------- - 57 dollars left, and this came to $92.

2

We must now solve for s.

First, multiply all three terms by 2. We get

s/2 - 168 - 2(57) = 2(92), or

s/2 - 168 - 114 = 184

Simplifying this, we get s/2 = 168 + 114 + 184, or s/2 = 466.

She spent half her salary (that is, half of s) on rent. As seen above, this is $466.

7 0

3 years ago

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 4860 square feet. The width of the base

levacccp [35]

Answer:

The length of Louise’s basement is 90 feet.

Step-by-step explanation:

Given:

Louis wants to carpet the rectangular floor of his basement.

The basement has an area of 4860 square feet.

The width of the basement is 3/5 it’s length.

Now, to find the length of Louise’s basement.

Let the length of basement be $x.$

So, the width is:

$\frac{3}{5}\ of\ x\\=\frac{3}{5}\times x\\=\frac{3x}{5}$

Area of the basement = 4860 square feet.

Now, to get the width of basement we put formula:

$Area=length\times width$

$4860=x\times \frac{3x}{5}$

$4860=\frac{3x^2}{5}$

Multiplying both sides by 5 we get:

$24300=3x^2$

Dividing both sides by 3 we get:

$8100=x^2$

Using square root on both sides we get:

$90=x$

$x=90\ feet.$

Therefore, the length of Louise’s basement is 90 feet.

5 0

4 years ago

10. Your Turn: Find the equation of a line that is perpendicular to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK

agasfer [191]

Alright, so since the slope of the perpendicular line is -1/(slope), we get (-1/2)=-1/2 and y=(-1/2)x + something. Plugging 7 in as y and -4 in as x, we get 7=(-1/2)(4)+something (let's make it a variable b), and multiplying it out we get 7=-2+b. Adding 2 to both sides, we get 7+2=9=b, so the perpendicular line equation is therefore y=(-1/2)x+b

6 0

3 years ago