25, 41, 49, 64Multiple ChoiceThe integers are not pairwise relatively prime since two of them have a common factor 3.The integers are pairwise relatively prime because there is no prime that divides all of them.The integers are pairwise relatively prime since two of them are prime.The integers are pairwise relatively prime because no two of them have a common prime factor.

Answer:

By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

Sample mean was $6,425 with a standard deviation of $3,156

This means that [tex]\mu = 6425, \sigma = 3156[/tex]

Sample of 84:

This means that [tex]n = 84, s = \frac{3156}{\sqrt{84}} = 344.35[/tex]

a. Which distribution should you use for this problem?

By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.

The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.

A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

Rank of Alex is 43rd

Total Entrants is 200

Percentile = Rank of Alex X 100 / Total Entrants

                 = 43 X 100 / 200

                 = 21.5 percentile

Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.

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Answer:

5x+4

Step-by-step explanation:

5x + 6 - 2

5x + 4

Answer:

-6 < x <1 , (-6, 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \sin(40) = \frac{95}{x} \\ x = \frac{95}{ \sin(40) } \\ x = 127.5 \: feet[/tex]

I hope that is useful for you :)

Answer:

9460

Step-by-step explanation:

Answer:

Square pyramid

Step-by-step explanation:

Hope this helps

Answer:

"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."

The correct solution is: x = -10, y = -38

Step-by-step explanation:

2x - y = 18

y = 4x + 2

Substitute the given value for y into the first equation:

2x - (4x + 2) = 18

2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y

-2x -2 = 18

add 2 to both sides

-2x = 20

divide by -2

x = -10

-------------------

solve for y

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

------------------

Check the math:

2x -  y = 18

2(-10) - (-38) = - 20 + 38 = 18

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A:

Check conditions for a 2-sample t-interval:

Random sample? √

Is the sample size no more than 10% of the population? √

Are both samples approximately normal? √

Construct the 95% confidence interval:

On a TI-84, click on "Stat", scroll to "Tests", and select "2-SampTInt". Put your data into 2 lists and set C-Level to be 0.95 to represent a 95% confidence level. Make sure the data isn't pooled, and press "Calculate" to obtain your results. You will see that the 95% confidence interval for the difference between the mean scores for the two types of instruction is {-6.042,8.1175}

Part B:

The confidence interval does not contradict the claim because 0 is contained within the 95% confidence interval, so it is quite possible that there is no difference between the mean scores for the two types of instruction.

Answer:

1. a quantity that stands alone and is not changed by other quantities. most often x variable.

2. a quantity that changes depending on another quantity, as a result of the rule. most often the y variable

Step-by-step explanation:

Answer: A quantity that stands alone and is not changed by other quantities most often X variable.

A quantity that changes depending on another quantity, as a result of the rule most often Y variable.

Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².

In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.

Refer to the attachment for step by step solution. :)

The area of the board that can be seen is  11.44 decimeter square.

The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.

Area of a circle = πr²

Where :

3.14 x 2² = 12.56 d²

Area of the rectangle = length x width

6 x 4 = 24

Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square

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Answer:

i, n, e, q, u, a, l, t, y

Step-by-step explanation:

You repeated some letters.

pls give me brainliest and have a nice day! Hope it helps!

Answer:

p = 3

Step-by-step explanation:

Answer:

4,670.61 Dollars

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.5/100

r = 0.025 rate per year,

Then solve the equation for A

A = Pert

A = 2,500.00(2.71828)(0.025)(25)

A = $4,670.61

Answer:

125 students

Step-by-step explanation:

according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best

set up a proportion to find how many students will like pop if there are 400 students at her school:

25/80=x/400

80x=10000

x=125

125 students

7????

Step-by-step explanation:

C. 360 Square meters

........

The total area is 360 square meter.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given:

We get Three Rectangle

First Rectangle:

length = 12 m

width = 16 m

So, Area = 12 x 16 = 192 square meter.

Second Rectangle:

length = 8 m

width = 12 m

So, Area = 8 x 12 = 96 square meter.

Third Rectangle:

length = 12 m

width = 6 m

So, Area = 12 x 6 = 72 square meter.

Thus, the total area = 192 + 96+ 72 = 360 square meter.

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[tex]1000ml = 1l \\ 5000ml = \frac{5000}{1000} l = 5l[/tex]

So option C, 5 litres.

Answer:

5 liters

Step-by-step explanation:

So, lets go over what we know:

There is 5000 milliliters.

There are 1000 milliliters in a liter.

To find the amount of liters, we have to divide 5000 by 1000, or total millilileters by millilileters per liter:

5000/1000

=

5

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

RS=26.49 m;

ST =14.08 m;

m<R =28°

Step-by-step explanation:

The answer is 580 grams.

Answer:

C. No; there is no relationship between the x value and its corresponding y value.

Step-by-step explanation:

I calculated it logically

Answer:

The correct answer c. No; there is no relationship between the x value and its corresponding y value

Answer:

C - 2[tex]\frac{1}{2}[/tex] hours

Step-by-step explanation:

8[tex]\frac{1}{2}[/tex] - 6 = 2[tex]\frac{1}{2}[/tex].

A prism Always has two congruent, parallel bases.

Answer:

2.3

Step-by-step explanation:

Answer:

66.66 repeating, or 66.7

Step-by-step explanation:

3rds only go to 99 if your looking for fractions, and to get from 3-99, you would multiply the fraction times 33.3 repeating. to keep the fraction even, you would also multiply the numerator (top number) by 33.3 repeating, getting 66.66 repeating

Answer:

420 m2

Step-by-step explanation:

Hope this helps

The surface area of the prism will be equal to 366 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.

Given that:-

The surface area of the prism will be calculated as:-

Surface area = Sum of the area of all sides

There are three rectangle faces and two triangular faces in the triangular prism.

Surface area = 3 ( area of rectangle) + 2 (area of triangle)

Suraface area= 3 ( 10 x 9 ) + 2 [( 1/2)(16 x 6)]

Surface area = 270 + 96 = 366 square meter.

Therefore the surface area of the prism will be equal to 366 square meters.

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Answer:

multiply the two numbers on a calculator

Step-by-step explanation:

give brainlest please

Answer:

Using Pythagorean Theorem: a^2 + b^2 = c^2

Answer is 8.2

Answer:

Choice B 2 and -2

Step-by-step explanation:

2 would be opposite of -2

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