what is the greatest common factor of 44 and 2?

To describe the center of the data, we can use either the mean or the median.

To describe the variation of the data, we can use either the range or the interquartile range (IQR).

Looking at the dot plot, it seems that the data is somewhat skewed to the right, with a few high-priced outliers. In this case, the median and the IQR may be more appropriate measures of the center and variation, respectively, as they are less sensitive to outliers.

To find the median and IQR:

Arrange the data in order from smallest to largest.

Find the median, which is the middle value. If there are an even number of values, take the average of the two middle values.

Find the first quartile, which is the median of the lower half of the data.

Find the third quartile, which is the median of the upper half of the data.

Calculate the IQR as the difference between the third quartile and the first quartile.

Here are the steps applied to the dot plot:

We can see that the smallest value is about 20 and the largest value is about 120, giving a range of 100 dollars.

The median is approximately 60 dollars, as it is the middle value between the 11th and 12th data points when the data is arranged in order.

The first quartile is approximately 40 dollars, as it isthe median of the lower half of the data points, which are found below the median.

The third quartile is approximately 80 dollars, as it is the median of the upper half of the data points, which are found above the median.

The IQR can be calculated as the difference between the third quartile and the first quartile, which is approximately 40 dollars.

Therefore, the most appropriate measures to describe the center and the variation for this data set are the median and the interquartile range (IQR), respectively. The median is approximately 60 dollars, and the IQR is approximately 40 dollars.

Answer:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Step-by-step explanation:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Answer:

length: 21 cm

width: 16 cm

Step-by-step explanation:

. A rectangle has two lengths and two widths, or two sides that are vertical (up and down) and two sides that are horizontal (left and right)

. In order to find the perimeter we must add up all four side lengths.

. You can find the perimeter of a rectangle by adding the length and the width then multiplying by 2, because there are two of each side length.

P = 2(l+w)

In the question the perimeter is given, which is 74.

We can divide 74 by 2 so that we can find the sum of the length and width.

74/2 = 37

l + w = 37

In the question is states that the length is 5 inches longer than the width.

l = (5 + w)

There are two widths and two lengths in a rectangle, the measurement of the two lengths is 5 inches longer than the two widths.

5 + w + w = 37

5 + 2w = 37

Now that we have our equation we can solve for w, or the width.

1. Move the term containing the variable to the left

5 + 2w = 37

2w + 5 = 37

2. Subtract 5 from both sides of the equation, the opposite of adding 5

2w + 5 = 37

2w + 5 - 5 = 37 - 5

2w = 32

3. Divide by 2 in both sides of the equation, the opposite of multiplying 2

2w = 32

2w/2 = 32/2

4. Cancel out the 2s on the left, but leave the x

2w/2 = 32/2

w = 16

So, now that w, or the width = 16, we can find the length:

l = 5 + w

l = 5 + 16

l = 21

You can check your answer by plugging in our values into the original perimeter formula:

P = 2(l+w)

P = 2(21 + 16)

P = 2(37)

P = 74, so my answer is correct, because 74 is the perimeter given in the question.

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

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Answer:

26 in. x 9 in.

Step-by-step explanation:

27 / 9 =

3

78 / 3 =

26

9 inches by 26 inches

Answer:

10 Gallons of water will weigh 1.2 pounds.

Step-by-step explanation:

Each gallon weighs 0.12 pounds, I got this answer from dividing 3 by 25 to see how much one gallon weighs. So if we multiply the weight of one gallon by 10, 0.12*10, then we will find out the weight of ten gallons.

I hope this helped you!! You can ask questions any question you may have, if needed, and I will answer them :)

10 Gallons of water will weigh 1.2 pounds.

Here, we have,

given that,

Morgan know that 3 gallons of water weigh 25 pounds.

now, we need to find how much do 10 gallons weigh.

so, we get,

3 gallons of water weigh 25 pounds.

so, to see how much one gallon weighs we divide 3 by 25 .

i.e. 3/25 = 0.12

Each gallon weighs 0.12 pounds,  

So if we multiply the weight of one gallon by 10,

i.e. 0.12*10, then we will find out the weight of ten gallons.

so, we get,

10 gallons weigh = 0.12*10 = 1.2 pounds.

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Answer:

-12=9x

Step-by-step explanation:

Step-by-step explanation:

Given expression is :

\(9x^2-4\)

We can write it as :

\((3x)^2-2^2\)

Now using identity : \(a^2-b^2=(a-b)(a+b)\)

Here, a = 3x and b = 2

So,

\((3x)^2-2^2=(3x-2)(3x+2)\)

Hence, the given expression is equivalent to (3x - 2)(3x + 2) .

The solution to the equation A = 9x² - 4 is given by A = ( 3x + 2 ) ( 3x - 2 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 9x² - 4   be equation (1)

On simplifying the equation , we get

a)

Let the equation be A = ( 3x + 2 ) ( 3x - 2 )

A = 3x ( 3x ) - 3x ( 2 ) + 2 ( 3x ) - 2 ( 2 )

On simplifying the equation , we get

A = 9x² - 6x + 6x - 4

A = 9x² - 4

Therefore , the value of A is 9x² - 4

Hence , the equation is A = ( 3x + 2 ) ( 3x - 2 )

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Answer:

A.

Step-by-step explanation:

New x-coordinate = (-4) * (4/5) = -16/5 = -3.2

New y-coordinate = 6 * (4/5) = 24/5 = 4.8

that's the only option with a -3.2 for A

Answer: Ok so when he starts with one month he has $1600 each month and add $500x for example for the second month add another $1600 and $500x and so on the x stands for however many cars he sold that day

Answer:

HSDHJSDHJS

Step-by-step explanation:

Complete question :

Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.

Answer:

0.10935

0.3718

0.9778

0.606

Step-by-step explanation:

μ = 721 ; σ = 454 ; n = 50

P(x > 800)

Zscore = (x - μ) / σ/sqrt(n)

P(x > 800) = (800 - 721) ÷ 454/sqrt(50)

P(x > 800) = 79 / 64.205295

P(x > 800) = 1.23

P(Z > 1.23) = 0.10935

2.)

Less than 700

P(x < 700) = (700 - 721) ÷ 454/sqrt(50)

P(x < 700) = - 21/ 64.205295

P(x < 700) = - 0.327

P(Z < - 0.327) = 0.3718

Between 700 and 850

P(x < 850) = (850 - 721) ÷ 454/sqrt(50)

P(x < 850) = 129/ 64.205295

P(x < 700) = 2.01

P(Z < 2.01) = 0.9778

P(x < 850) - P(x < 700) =

P(Z < 2.01) - P(Z < - 0.327)

0.9778 - 0.3718

= 0.606

Answer:

87

Step-by-step explanation:

= 17 1/2 ÷ 1/5

= 35/2 (improper fraction should be used as a dividend) × 5/1 (the divisor will be reciprocal and the operation will be multiplication)

= 175/2

= 87 1/2

Since the question is how many ⅕, the fraction will not be included.

Answer:

5/4 or 1 1/4 or 1.25

Step-by-step explanation:

The video had played 104 frames when the time was equal to -3 2/5 seconds.

We can start by finding how many frames were played during the time that the timer did not start counting. Since the video plays 25 frames per second, the number of frames played during this time is 25 frames/second × several seconds = 190 frames.

Next, we need to convert the time of -3 2/5 seconds to frames. We can do this by multiplying the time by the frame rate of 25 frames/second:

-3 2/5 seconds × 25 frames/second = -86 frames

Note that the negative sign indicates that the timer is behind the actual playback time.

Finally, we add the number of frames played before the timer started counting to the number of frames that had played by the time the timer was at -3 2/5 seconds:

190 frames + (-86 frames) = 104 frames

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Answer:

C

Step-by-step explanation:

The reason the numbers are negative is because he does not have that money because he has to pay it back.

8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Tim works for a cell phone company and is testing their new biometric security feature.

He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.

The results of the test are shown in the table.

                             Unlocked               Did Not Unlock               Total

Owner                     2418                            582                           3000

Not the Owner        232                             768                            1000

Total                       2650                            1350                          4000

Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be

P = 232 / 4000

P = 0.058

The probability in percentage will be

P = 0.058 x 100

P = 5.8%

Then the correct option is D.

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Answer:

8.8%

Step-by-step explanation:

I did the test.

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

The length of the incline plane is equivalent to 13.9ft

Application of Pythagoras theorem

According to the theorem, the square of the hypotenuse is equal to the sum of the square of the adjacent and opposite

c^2 = a^2 + b^2

From the given question, the length of the incline is the hypotenuse 'c' where:

a = 7ft

b = 12ft

Substitute

c^2 = 7^2 + 12^2

c^2 = 49 + 144

c^2 = 193

x = 13.9ft

Therefore the length of the inclined plane is 13.9ft

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The coordinate pair of D that will make AB perpendicular to CD is ( 4,7)

The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1.

The slope of a line is given as ( y1-y2)/(x1-x2)

for AB and CD to be perpendicular

( y2-y1)/(x2-x1) × ( y4-y3)/(x4-x3) = -1

therefore (5-4)/-2-1 = ( y4-y3)/(x4-x3)

1/-3 ×(y4-4)/(x4-3) = -1

(y4-4)/(x4-3) = 3/1

therefore 3= y4-4 and 1 = x4-3

therefore y4 = 3+4= 7

and x4 = 1+3= 4

therefore the coordinate of D = (x4,y4) for AB perpendicular to CD = (4,7)

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Answer:

f(n) = 0.2n + 4.8

4.8

Step-by-step explanation:

Given the explicit formula :

an = 5 +0.2(n - 1)

Expressing an in function form f(n):

f(n) = 5 + 0.2(n - 1)

f(n) = 5 + 0.2n - 0.2

f(n) = 5 - 0.2 + 0.2n

f(n) = 0.2n + 4.8

The y - intercept :

Set n = 0

f(n) = 0.2n + 4.8

f(0) = 0.2(0) + 4.8

= 0 + 4.8

= 4.8

y intercept = 4.8

The factors of the polynomial function f(x) must be x, x + 6  and x + 3

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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You are asked to find the coordinate of Point X.