Given the data set, calculate the range and the mode:


{9, 3, 1, 8, 3, 6}

Answer: is x^2 + y^2 = 100

[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]

eAnswer:

B, C, E, F

Step-by-step explanation:

Answer:

x=-3y+12

Step-by-step explanation:

Yes.

9514 1404 393

Answer:

  $3633.96

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

monthly payment for principal P at annual rate r for t years.

  A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96

The monthly payment for the mortgage is $3633.96.

Answer:

The minimum sample size required is 461.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

An interval estimate of the proportion p with a margin of error of 0.06. What is the minimum sample size required?

The minimum sample size required is n, which is found when M = 0.06.

We don't have an estimate for the true proportion, which means that we use [tex]\pi = 0.5[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.06 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.06\sqrt{n} = 2.575*0.5[/tex]

[tex]\sqrt{n} = \frac{2.575*0.5}{0.06}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.06})^2[/tex]

[tex]n = 460.5[/tex]

Rounding up

The minimum sample size required is 461.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...

  (x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))

  (x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)

__

It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.

Answer:

The mean absolute deviation is 2. Hope this helps

Step-by-step explanation:

7+2+8+9+9+5+6+8+1=5.5

7-5.5=1.5

5.5-2=3.5

8-5.5=2.5

9-5.5=3.5

9-5.5=3.5

5.5-5=0.5

6-5.5=1.5

8-5.5 2.5

5.5-1=4.5

1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2

Answer is 2.

I hope this can help!

Have a nice day :)

~Amy

Answer:

D 3 ones, 0 tenths, 5 hundredths

Step-by-step explanation:

9.15 divided by 3.

915/3 = 305

Then, moving the decimal point two units to the left, we have 3.05.

The last number before the decimal point is called ones, which means that we have 3 ones.

The first number after the decimal point is called tenths, which means that we have 0 tenths.

The second number after the decimal point is called hundredths, which means that we have 5 hundredths.

The correct answer is given by option D.

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

Answer:

23 nights

Step-by-step explanation:

What does "Proportional" Mean? Proportional means that the ratio is the same throughout.

Step One: First, to set this up, we will put the 16 centimeters for the numerator and then the 8 nights on the bottom. The bottom is the independent variable because we can't physically change the number of nights. 16/8.

Step Two: Now, we have to scale this up to 46. Because the 46 is the centimeters, we have to do 46/16 to see how much we need to scale it by: 46/16= 2.875.

Step Three: Lastly, we can multiply 8 by 2.875 to see how many nights it took: 8 times 2.875 is 23 nights.  

Answer:

the answer is 72 inches

Step-by-step explanation:

a²+b²=c²

a²+900=6084

a²=5184

a=72

Answer:

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Step-by-step explanation:

The claim is mostly treated as alternate hypothesis .

In this question the claim is given as the average annual donor income has increased therefore it is written as

Ha: u > 100,000

The null hypothesis is reverse of the alternate hypothesis

H0: u ≤ 100,000

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Answer:

74.2

Step-by-step explanation:

First think of a whole circle. The area of a circle is pi*r^2., which is 81 pi. Then the fraction of the circle is 105/360. Times this by 81 pi and you get about 74.2 and that is the answer.

By the way, can you follow me? Thanks!

Answer:

A sample size of 21 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Using an estimated standard deviation of $11,605

This means that [tex]\sigma = 11605[/tex]

What sample size do you need to have a margin of error equal to $5000 with 95% confidence

A sample size of n is needed. n is found when M = 5000. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5000 = 1.96\frac{11605}{\sqrt{n}}[/tex]

[tex]5000\sqrt{n} = 1.96*11605[/tex]

[tex]\sqrt{n} = \frac{1.96*11605}{5000}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*11605}{5000})^2[/tex]

[tex]n = 20.69[/tex]

Rounding up,

A sample size of 21 is needed.

Answer:

A

Step-by-step explanation:

Answer:

Are you looking for the perimeter? if so it would be 34 yards

Step-by-step explanation:

Answer:

50% because there are only 2 colors

Step-by-step explanation:

Answer:50%

Step-by-step explanation:

The probability is 50% or 1/2 because there's only 2 types of jelly bean in the jar unless either one has more amount than the other's

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

Answer:

2

Step-by-step explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

[tex]E(x) = \sum x * f[/tex]

Where

x = days

f = chances

So, we have:

[tex]E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3 * 0.2 + 4 * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01[/tex]

[tex]E(x) = 1.56[/tex]

[tex]E(x) \approx 2[/tex]

Answer:

Step-by-step explanation:

Answer:

10

8.4

5

Step-by-step explanation:

Answer:

Same!!!!!!!!!!!

Step-by-step explanation:

Answer:

mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor

Answer:

R = 3.813% per year.

Step-by-step explanation:

9514 1404 933

Answer:

  (c)  f(x) at (70, 55)

Step-by-step explanation:

The point (70, 55) is not on g(x), which increases from a minimum of 899.5. Obviously, 55 is less than 899.5, so f(x) at (70, 55) has a lower minimum.

Answer:

f(x) at (70, 55)

Step-by-step explanation:

I got it right on the test