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3 years ago

A circle has a center of (5,-5) and goes through (6,-2). What is the radius?

1 answer:

6 0

Start with the equation of a circle whose center is at (h,k) and whose radius is r:

(x-h)^2 + (y-k)^2 = r^2

Substituting the given coordinates of the center:

(x-5)^2 + (y-[-5])^2 = r^2, or (x-5)^2 + (y+5)^2 = r^2

Substituding the given coordinates of a point (6,-2) on the circle:

(6-5)^2 + (-2+5)^2 = r^2

Simplifying:

1^2 + 3^2 = r^2, or 1 + 9 = r^2, or 10= r^2. Then r = sqrt(10).

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Trisha bought a pair of shoes for $40 and a blouse for $35. Trisha's purchases are subject to a sales tax rate of 8.75%. Includi

Margarita [4]

$40+$35=$75
75/100*8.75=6.5625
6.5625+75=81.5625
approximately equal to $81.56

5 0

4 years ago

Find the factor pairs of each number. 30

nata0808 [166]

To determine the factor pairs for the number 30, simply find out the smallest set of numbers that will multiply to give 30, you would need to break down composite numbers to do this.

30 = 6 • 5 = 2 • 3 • 5.

These all are prime numbers that when multiplied together equals 30.

6 0

3 years ago

20% of a store’s sale are toys. If the store sells $1,200 in toys during one month, what are the store’s total sales?

hjlf

Answer:

$6000

Step-by-step explanation:

20%= 1/5

So you know that $1,200 is 1/5 of the total amount the store made in one month. To find the total amount you need to multiply 1,200 by 5.

1200*5= 6000

4 0

3 years ago

Hey you!<br><br> I think I need your help with this one - Thanks~

timofeeve [1]

Hey Gary!

The volume of a cylinder is PiR^2h, or 3.14(r^2)h.
Let's define our measures.
Pi is 3.14 (simplified). However, our answer is requested in terms of Pi.
Our radius is 5.
Our height is 14.
Let's plug in our numbers.

5^2 • 14 • Pi
5^2 = 25
25 • 14 = 350.

350Pi is our answer.
However, rememver that we need to end our answer in units cubed, as we are using a 3-dimensional figure. Our answer is 350Pi in^3.
Your answer is B.)

I hope this helps!

5 0

3 years ago

Read 2 more answers

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sa

Deffense [45]

Answer:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

Step-by-step explanation:

Assuming this complete problem: "The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test

H0: p .45 vs H1: p < .45.

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.

Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry."

1) Data given and notation

n=50 represent the random sample taken

X=18 represent the number of women in the sample selected

$\hat p=\frac{18}{50}=0.36$ estimated proportion of women in the sample

$p_o=0.45$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of women is less than 0.45:

Null hypothesis: $p\geq 0.45$

Alternative hypothesis: $p < 0.45$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

4 0

3 years ago