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4 years ago

Find the GCF of 56 and 96. Show your work.

Mathematics

2 answers:

sdas [7]4 years ago

6 0

Answer:

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCF(56, 96) = 8

Step-by-step explanation:

Alex777 [14]4 years ago

4 0

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCF(56, 96) = 8

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Consider the following data on the estimated cost (in millions of dollars) resulting from traffic congestion for different urban

IrinaK [193]

The mean is $5.769 million and the standard deviation is $3.905 million.

The mean is the average of a data set.

<h3>What is the standard deviation?</h3>

The standard deviation shows the measure of the dispersion from the mean.

<h3>Data and Calculations:</h3>

Urban Area Total Cost Squared Difference

(millions of dollars) (x - u)²

New York 16 104.65

Los Angeles 13 52.27

Chicago 7 1.51

Washington, D.C. 5 0.59

Houston 5 0.59

Dallas, Fort Worth 4 3.13

Detroit 4 3.13

Miami 4 3.13

Phoenix 4 3.13

Philadelphia 4 3.13

San Francisco 3 7.67

Boston 3 7.67

Atlanta 3 7.67

13 Total 75 198.27

Mean = 5.769 (75/13) 15.251 (198.27/13)

Standard Deviation = 3.905 (square root of 15.251)

<h3>Question Completion:</h3>

Urban Area Total Cost

(millions of dollars)

New York 16

Los Angeles 13

Chicago 7

Washington, D.C. 5

Houston 5

Dallas, Fort Worth 4

Detroit 4

Miami 4

Phoenix 4

Philadelphia 4

San Francisco 3

Boston 3

Atlanta 3

Calculate the mean and standard deviation for this data set (in millions of dollars). (Round your answers to three decimal places.) mean $ million standard deviation $ million

Thus, the mean is $5.769 million and the standard deviation is $3.905 million.

Learn more about calculating the mean and standard deviation at brainly.com/question/1580527

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2 years ago

Tge set of while number from 1-20<br> Set C = all even numbers<br> Set D = all the multiplies of 4

murzikaleks [220]

Answer:

set c.2,4,6,8,10,12,14,16,18,20

set d. 4,8,12,16,20

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<em>PLS MARK THE BRAINLIST </em>

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3 years ago

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

ryzh [129]

The correct answer is: A) (x + 2)^2 = 2

Further explanation:

We have to convert the equation into simplest form to complete square

Given equation is:

$6+12x+3x^2=0$

Rearranging the Equation:

$3x^2+12x+6=0$

Dividing the equation by 3 gives us:

$x^2+4x+2= 0$

Subtracting 2 from both sides

$x^2+4x+2-2=0-2$

$x^2+4x=-2$

Here

$x=a\\4x=2ab\\Then\\4x=2(x)(b)\\b=\frac{4x}{2x}\\$

b=2

So,

Adding (2)^2 on both sides

$(x)^2+4x+(2)^2=-2+(2)^2\\(x+2)^2=-2+4\\(x+2)^2=2$

The correct answer is: A) (x + 2)^2 = 2

Keywords: Completing square, factorization

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4 years ago

I WILL GIVE 15 PTS AND MARK BRAINLESS JUST ANSWER THIS 1 QUESTION PLEASE!

Ksenya-84 [330]

I think the answer is 180.5

7 0

3 years ago

Read 2 more answers

A loan company knows that 5% of its loans will be delinquent. Of the company’s 400 loan accounts, what is the probability

Scrat [10]

Answer:

Step-by-step explanation:

Given that a loan company knows that 5% of its loans will be delinquent.

since each loan is independent of the other p , probability for any random loan to be delinquent is constant 0.05

X no of delinquent loan accounts is binomial with n =400 and p = 0.05

Since n is very large and also np = 20 and nq >5 we can approximate to normal

Mean = np = 20 : Variance = npq = 19

Std dev = 4.36

X is N(1, 4.36)

With continuity correcton we calculate the prob

a) that exactly 25 accounts will be delinquent?

= $P(24.5$

b) that fewer than 30 accounts will be delinquent?

=P(X<29.5)

= 0.9854

c) more than 24 accounts will be delinquent

=P(X>24,5)

=0.1509

7 0

3 years ago