What are the coordinates of the point that is 1/6 of the way from A to B? 6 A(-2, 3) 4+ B (10.3) ---- 4 4 O A. (6,0) O B. (3,0) O c. (0,6) O D. (0,3) O​

Answer:

1296

Step-by-step explanation:

the y is multiplying by six each time 6*6 = 36

36*6 = 216

216*6 = 1296

2196 = 7776

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that [tex]\mu = 64.4, \sigma = 2.91[/tex]

Sample of 50 women

This means that [tex]n = 50, s = \frac{2.91}{\sqrt{50}}[/tex]

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Answer:

...

Step-by-step explanation:...

Answer:

D. 0.85

Step-by-step explanation:

The data points in the scatter plot are closer to each other along the line of best fit, this means that there is a strong positive association between minutes and distance and therefore, the correlation coefficient would be relatively closer to 1.

The correlation is positive since both variables tend to increase together in the same direction.

Therefore, the best estimate of the correlation coefficient out of the given options would be 0.85

Answer:

x=4 y=0

Step-by-step explanation:

7(4)-5(0)=28

28-0=28

28=28

Answer:

In my opinion the limit is equal to 1 not 0, sorry.

Step-by-step explanation:     6  25  13  43

lim n ⇒∞ ((2n - 1)/2n)

lim n ⇒∞ (2n/2n) - 1)/2n)        2n/2n = 1    1/∞  = 0

              =   1  - 0

              =    1

when I graphed the function I also got 1

Answer:

2

Step-by-step explanation:

2 (x-2)=8 equal to 2x-4=8, put -4 to the other side by subtracting 4 on both sides once you do you get 2x=4 so 4 divided by 2 equals 2.

Answer:

x = 6

Step-by-step explanation:

2(x - 2) = 8

2x - 4 = 8

2x = 12

x = 6

Answer: A) (x + 12) and (x + 9)

Step-by-step explanation:

You need to get x^2 + 21x + 108.

A) (x + 12) (x + 9) = x^2 + 12x + 9x + 108 = x^2 + 21x + 108

B) (x - 12) (x - 9) = x^2 - 9x - 12x + 108 = x^2 -21x + 108

C) (x - 27) (x - 4) = x^2 - 4x - 27x + 108 = x^2 - 31x + 108

D) (x + 27) (x + 4) = x^2 + 27x + 4x + 31 = x^2 + 31x + 31

So, the answer is A).

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that 1,000 cm cubed = 1 liter

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

Answer:

d). 14 and 240

Step-by-step explanation:

According to the Question,

We need to find out the numerator and denominator freedom degrees ,

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

The graph (C) represents the inverse function of f(x) if the graph of a function f(x) is given option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a graph of f(x) is shown in the picture.

As we know, if f(x) has ordered double (x, y)

Then inverse of function g(x) must have ordered double (y, x)

From the given options graph (C) satisfy the condition.

Thus, the graph (C) represents the inverse function of f(x) if the graph of a function f(x) is given option (C) is correct.

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Answer:

the answer would be option C

Answer:

Step-by-step explanation:

An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.

Because the octagon is regular, all of its sides and angles are congruent

Answer:

It's an octagon.  So should be the first one with 8 points.

Step-by-step explanation:

Answer:

12.906%/year

Step-by-step explanation:

Given data

Principal= $1000

Final Amount= $1900

Time= 5 years

The compound interest formula is given as

A= P(1+ r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)1/nt - 1]

r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]

r = 0.12906

Then convert r to R as a percentage

R = r * 100

R = 0.12906 * 100

R = 12.906%/year

Answer: not sure

but I need points

Step-by-step explanation:

JUST KIDDING It’s A I did this in school before and got it correct :)

Answer: A. When something is exactly the same on one side as it is on the

other side

Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!

9514 1404 393

Answer:

  ∠S = 81°

Step-by-step explanation:

Reflection does not change the angle measures.

The quadrilateral names tell you angle D corresponds with angle S. So, angle S has the same measure.

  ∠S = ∠D = 81°

Answer:

-8/32 or -1/4(if simplified)

Step-by-step explanation:

-15+7 = -8

-8/32 or -1/4

Answer:

(-1, 5/2)

Step-by-step explanation:

Midpoint = (-4 + 2)/ 2 ,  (6 - 1)/2

= (-2/2), (5/2)

= (-1, 5/2)

Answer:

Step-by-step explanation:

The midpoints of two coordinate is = [tex]\frac{x2 + x1}{2}[/tex] , [tex]\frac{y2 +y1}{2}[/tex].

Let x2 = 2

x1 = -4

y2 = -1

y1 = 6

Solution:

[tex]\frac{2+-4}{2} , \frac{-1+6}{2} \\\\\\= (-1,\frac{5}{2})[/tex]

Answer:

$26 per person or $23.125 per person for the bigger group

Step-by-step explanation:

Answer:

148.59

Step-by-step explanation:

Inflation is kind of similar to interest and with that bieng said we can (kind of ) use the same formula

the time between 2034 and 2014 is 2034-2014= 20

100(1.02)²⁰=148.5947396

which we can round to 148.59

148.5 is the cost in 2034 of an item that costs $100 in 2014

Simple interest is a quick and easy method of calculating the interest charge on a loan

[tex]A=P(1+r)^{t}[/tex]

where A is the Actual amount

P is Initial amount

t is time period

r is rate of interest

Given,

The rate of inflation measures the percentage increase in the price of consumer goods

The rate of inflation in the year 2014 was 2% per year.

2% is converted to decimal by dividing with 100

2/100=0.02

The time gap between 2014 and 2034 is

2034-2014=20 years

The initial amount is 100

A=100(1+0.02)²⁰

A=100(1.02)²⁰

A=100×1.485

A=148.5

Hence 148.5 is the cost in 2034 of an item that costs $100 in 2014.

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Answer:

if it is a chihuahua, then it will be just fine with 20lb

Answer:

E) 16

Step-by-step explanation:

4 * 4 = 16

Hope this helps

The solution is Option C.

The number of games played by 4 teams if they play each other only once is given by combinations and is 6 games

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of teams be n = 4 teams

Each team plays the other team only once , so x = 2

The number of games played by 4 teams if they play each other only once is given by Combination

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

⁴C₂ = ( 4! ) / 2! x 2!

On simplifying the equation , we get

⁴C₂ = ( 4 x 3 ) / 2 x 1

⁴C₂ = 2 x 3

⁴C₂ = 6 games

Therefore , the value of ⁴C₂ =6

Hence , the number of games is 6 games

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Answer:

a

Step-by-step explanation:

Answer:

52/63

Step-by-step explanation:

Given the expression

4/7 * 13/9

Taking the product

= (4*13)/(7*9)

= 52/63

Hence the product of both fractions is 52/63

Answer:

the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

Step-by-step explanation:

Given the data in the question;

Let us represent the number of cows at the farm with x and

each cow produces y gallons of milk

Total mil production will be T.

so

T = x × y

now, differentiating with respect to t

dT/dt = d( xy )/dt

dT/dt = xdy/dt + ydx/dt

given that;

x = 441

y = 1157

dx/dt = -13

dy/dt = 39

so we substitute

dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )

dT/dt = 17199 - 15041

dt/dT = 2158

Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

Answer:

54,183.34

Step-by-step explanation:

a = 30,000(1.03)²⁰

a = 54,183.34

Answer:

x = -4, x = 2

Step-by-step explanation:

We can start by dividing both sides by 3, the GCF of the right side, in order to make the problem easier to solve:

3x^2 + 6x - 24 = 0

x^2 + 2x - 8 = 0

Now, we can factor this equation. We need to find two numbers that add to 2 and multiply to -8. These numbers are 4 and -2. Therefore, we can factor the equation as follows:

(x + 4)(x - 2) = 0

Using the zero product property we get two equations which we can solve:

x + 4 = 0

x = -4

x - 2 = 0

x = 2

Answer:

The agency makes 23855

The agent makes 5963.75

Step-by-step explanation:

First find the commission for the agency

367000 * 6.5%

367000*.065

23855

Now the agent gets 25% of this amount

23855 *25%

23855 *.25

5963.75

Answer:

Step-by-step explanation:

The agency made $24,440.00

The Agent made $6,110.00