Find the centroid of AABC if
A = (0, 6), B = (2,0), and C = (10, 0).
([?], [ ]
Pls help! :)

Answer:

0.0823 = 8.23% probability that fewer than 10% of the rolls are a five

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].

A fair six-sided number cube is rolled 60 times.

This means that [tex]n = 60[/tex]

Rolls that are a five:

For each roll, there are 6 possible outcomes: 1, 2, 3, 4, 5 or 6. So the probability of rolling a five is:

[tex]p = \frac{1}{6} = 0.1667[/tex]

The distribution has mean and standard deviation:

[tex]\mu = p = 0.1667[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.1667*(1-0.1667)}{60}} = 0.0481[/tex]

What is the probability that fewer than 10% of the rolls are a five?

This is the pvalue of Z when X = 0.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.1 - 0.1667}{0.0471}[/tex]

[tex]Z = -1.39[/tex]

[tex]Z = -1.39[/tex] has a pvalue of 0.0823

0.0823 = 8.23% probability that fewer than 10% of the rolls are a five

Answer: 0.082

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

because 3x2=6

I AM SOOOO SORRY IF I GET IT WRONG

Answer:

3690

Step-by-step explanation:

it has the nearest tenth value is 90

Answer:

14

Step-by-step explanation:

Answer:

14 sets

Step-by-step explanation:

Let the number of big screen TV sets be---------x

Portable TV screen sets will be-------x + 40

Console TV sets will be---------- x + 15

The total cost of storage per month is : $302

The equation for total cost is;

7.50 x + 4{ x+15} + 1.50 { x+40 } = 302

7.50x + 4x + 60 + 1.50 x + 60 =302

13x = 302- 120

13x = 182

x = 14

Answer: x=70, y=20

Step-by-step explanation:

From the equilateral triangle, we know that 2y+10=x-y, as all sides must measure the same length.

From the isosceles triangle, we know that x° is 70°, because all triangles must add up to 180°.

70-y=2y+10

Solve for this, and y=20

Answer:

18ft

Step-by-step explanation:

I don't know if it right but this is how i got my answer

I divide 12/8 and got 1.5

I multiplied 12 x 1.5 and got 18.

Answer:

a) Since np >= 5 and n(1-p) >= 5, the approximation is justified

b) 0.7

c) 0.0725

d) 0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05

Step-by-step explanation:

We use the normal distribution and the central limit theorem to solve this question.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

[tex]p = 0.7, n = 40[/tex]

a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.

We need that: np >= 5, n(1-p) >= 5. So

np = 40*0.7 = 28 > 5

n(1-p) = 40*0.3 = 12 > 5

Since both conditions are satisfied, the approximation is justified.

b. What is the mean of the sampling distribution of p if the real estate agents are correct?

This is [tex]\mu = p = 0.7[/tex]

c. What is the standard deviation of the sampling distribution of p if the real estate agents are correct?

This is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{40}} = 0.0725[/tex]

d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?

This is the pvalue of Z when X = 0.7 + 0.05 = 0.75 subtracted by the pvalue of Z when X = 0.7 - 0.05 = 0.65. So

X = 0.75

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.75 - 0.7}{0.0725}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

X = 0.65

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.65 - 0.7}{0.0725}[/tex]

[tex]Z = -0.69[/tex]

[tex]Z = -0.69[/tex] has a pvalue of 0.2451

0.7549 - 0.2451 = 0.5098

0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05

Answer:

210 degree

Step-by-step explanation:

We are given that

[tex]csc\theta=-2[/tex]

We have to find the value of theta in in the interval [0,360)

We know that

[tex]csc30^{\circ}=2[/tex]

But the value of [tex]csc\theta[/tex] is negative .

We know that

csc  is negative in third and forth quadrant

Therefore, the angle [tex]\theta[/tex] lies in third because 180+30=210

Third quadrant from 180 to 270 degree

[tex]csc(180+30)=-csc(30^{\circ})=-2[/tex]

By using

[tex]csc(\pi+\theta)=-csc\theta[/tex]

Hence, the value of [tex]\theta[/tex] in the interval [0°,360º) =210 degree

9514 1404 393

Answer:

  $2300.01

Step-by-step explanation:

The down payment is 14% of $394,000, so is ...

  0.14 × $394,000 = $55,160

This means the principal amount of the loan is ...

  $394,000 -55,160 = $338,840

__

The amount of the monthly loan payment is given by the amortization formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the principal amount, r is the annual interest rate, and t is the number of years. Filling in the values, we have ...

  A = $338,840(0.072/12)/(1 -(1 +0.072/12)^(-12·30))

  = $338,840(0.006)/(1 -(1.006^-360)) = $2300.01

The monthly payment is $2300.01.

_____

Additional comment

Such calculations are commonly done using a spreadsheet, financial calculator, or app. If you're doing a number of financial calculations, it can be a good idea to obtain and learn to use an appropriate tool.

Answer:

7 daisies

Step-by-step explanation:

76 ÷ 4 =19

19 - 12 = 7

7 daisies

Answer:

B. [tex] \frac{7\sqrt{2}}{34} [/tex]

Step-by-step explanation:

Cos θ = Adjacent/hypotenuse

Adjacent = 7

Hypotenuse = √(23² + 7²) = √578 = 17√2

Thus:

Cos θ = [tex] \frac{7}{17\sqrt{2}} [/tex]

Rationalize

Cos θ = [tex] \frac{7*\sqrt{2}}{17\sqrt{2}*\sqrt{2}} [/tex]

Cos θ = [tex] \frac{7\sqrt{2}}{17*2} [/tex]

Cos θ = [tex] \frac{7\sqrt{2}}{34} [/tex]

Answer: 212 chip muffins

Step-by-step explanation:

  483

- 271

----------

  212

Answer:

2/x + 9

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6x3x3 equals 54 which is also the total surface area of the rectangle.

Answer:

Answer choice = A. 6 x 3 x 3

Answer:

$400,      11.4%,     yes $38

Step-by-step explanation:

9514 1404 393

Answer:

  4800

Step-by-step explanation:

Let b represent the number with broken glass. Apparently, the ratio is constant, so ...

  b/60000 = 56/700

  b = 60000(56/700) = 4800

About 4800 picture frames will have broken glass each month.

Answer:

Step-by-step explanation:

B

if you multiply you will have

6x^2+8x-5

Answer:

the department should offer 50 sections of finite math and 60 section of applied calculus in order to fill all sections and accommodate all of the students

Step-by-step explanation:

Given the data in the question'

let x represent number of sections of finite math while y represent number of section of applied calculus.

as 6000 student will like to take math course;

in each section, finite math has 60 students while applied calculus has 50 students

so;

60x + 50y = 6000 --------------lets this be equ 1

we also know that; there are 110 sections in a semester

so;

x + y = 110 ------------------ let this be equ 2

multiply equation 2 by ( - 60 )

-60x + -60y = -6600 --------------- let this be equ 3

now lets add equation 1 and 3

0 - 10y = -600

-10y = -600

divide both sides by (-10)

-10y/-10 = -600/-10

y = 60

now lets substitute value of y in equation 2

x + 60 = 110

x = 110 - 60

x = 50

Therefore, the department should offer 50 sections of finite math and 60 section of applied calculus in order to fill all sections and accommodate all of the students

Answer:

7 pairs of socks

Step-by-step explanation:

4.5x + 80 [tex]\leq[/tex] 115

4.5x [tex]\leq[/tex] 35

dividing 35 by 4.5 gives us 7.78, making 7 our greatest whole number, representing the maximum number of socks that Munir can buy.

I have already answered number 3 on your other question.

Answer:

-5120

Step-by-step explanation:

Answer:

you spent 5/23 of your money

Step-by-step explanation:

5/23- you can't simplify this fraction.

slope intercept form is y=mx+b

so slope is 2/3

so ur answer is y=2/3x+7

thx

hope u have a good day

byee

:)

Answer:

False

Step-by-step explanation:

s and r are the arc length and radius, respectively.

θ = s÷r = 2÷2.5 = 0.8 radian

Answer:

$7.25

Step-by-step explanation:

I'm pretty sure I'm correct. Hope this helps and have a nice day!

Answer:um.... I think bc

Step-by-step explanation: