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rjkz [21]
3 years ago
5

Find the GCF of 35 and 42 show your work

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

7

Step-by-step explanation:

Listing the factors of each number is one way, that is

factors of 35 : 1, 5, 7, 35

factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

The common factors are 1 and 7

The GCF is therefore 7

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Answer:

19.4 liters

Step-by-step explanation:

You get 19.4 by multiplying 9.7 by 2 which = 19.4

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An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio
Lena [83]

Answer:

The  width is  w = \$ 729.7

Step-by-step explanation:

From the question we are told that

   The population standard deviation is  \sigma =  \% 1,000

    The  sample size is  n  = 50

    The sample mean  is  \= x  =  \$ 15,000

Given that the confidence level is  99% then the level of significance is mathematically represented as  

               \alpha  =  100 - 99

=>            \alpha  =  1\%

=>             \alpha  = 0.01

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is

             Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } =  2.58

Generally margin of error is mathematically represented as

             E =  Z_{\frac{\alpha }{2} *  \frac{\sigma }{\sqrt{n} }

substituting values

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

               E = 364.9

The width of the 99% confidence interval is mathematically evaluated as

         w = 2 * E

substituting values

          w = 2 * 364.9

          w = \$ 729.7

5 0
3 years ago
*) Eric works at the deli on weekends to earn extra money. He makes $10 per hour making
algol13

Answer:

A=\dfrac{1}{2}(10s+14d)

Step-by-step explanation:

Given that,

He makes $10 per hour making  sandwiches, and $14 per hour delivering orders.

Let there are s sandwiches and d is delivering orders.

Eric puts half of his total earnings in a  savings account for college.

The expression that represents the total amount of money Eric saves for working s hours making sandwiches and d hours delivering orders.

A=\dfrac{1}{2}(10s+14d)

Hence, this is the required solution.

8 0
3 years ago
What is the value of the underligned digit in 5436788
LenKa [72]
Which is the underlined digit?
6 0
3 years ago
Alex $8000 in a savings account that earns 3.25 % annually. How much will he earn in interest in 6 months?
kotegsom [21]
<h3>Answer:  $130</h3>

=======================================================

Explanation:

I'm assuming the bank is using simple interest (instead of compound interest).

If so, then,

i = P*r*t

i = 8000*0.0325*0.5

i = 130

The amount of interest is $130

In the formula above, I used

  • P = 8000 = amount deposited
  • r = 0.0325 = annual interest rate in decimal form
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3 years ago
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