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AlexFokin [52]
2 years ago
4

Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers

that do not have a common factor. Show your work. (4 points)
Mathematics
1 answer:
zloy xaker [14]2 years ago
5 0

Answer:-  72 + 81 = 9 * 17:-


Find the GCF of 72 and 81 by first  writing out the prime factors:-

72 = 2*2*2*3*3

81 = 3*3*3

Picking out common factors  we get  GCF = 3*3 = 9

So 72 + 81 =  9(8 + 9)   (using the distributive law)

= 9 * 17

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A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an
Amanda [17]

Answer: \mu_x=18\text{ hours}

\sigma_x=4\text{ hours}

Step-by-step explanation:

We know that mean and standard deviation of sampling distribution is given by :-

\mu_x=\mu

\sigma_x=\dfrac{\sigma}{\sqrt{n}}

, where \mu = population mean

\sigma =Population standard deviation.

n= sample size .

In the given situation, we have

\mu=18\text{ hours}

\sigma=6\text{ hours}

n= 2

Then, the expected mean and the standard deviation of the sampling distribution will be :_

\mu_x=\mu=18\text{ hours}

\sigma_x=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{2}}=4.24264068712\approx4  [Rounded to the nearest whole number]

Hence, the the expected mean and the standard deviation of the sampling distribution :

\mu_x=18\text{ hours}

\sigma_x=4\text{ hours}

7 0
2 years ago
During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
Novosadov [1.4K]
So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

28,000 ÷ 14 = 2000

The post office sold 2000 stamps!

Hope this helped! :)
6 0
2 years ago
Using Normal Distribution to Analyze Data Martin suspects that people carry less cash with them than they used to because of cre
jek_recluse [69]

Answer:

Step-by-step explanation:

Sample size = 95

X=cash carried by the persons

x bar = 8.00

s = sample std dev = 2.50

Std error = \frac{s}{\sqrt{n} } =\frac{2.5}{\sqrt{95} } \\=0.2565

Hence Z score would be

\frac{x-8}{0.2565}

a) P(X

-0.00

b) P(9

c) 95% conf interval margin of error = ±1.96*0.2565

=±0.54782

Confi interval = (8-0.5027, 8+0.5027)

= (7.4923, 8.5027)

C)If conf level increases, then width of interval would increase since critical value would increase.

If sample size increases std error would decrease and hence margin of error.

So interval would decrease.

3 0
2 years ago
Find the percent of change from 688 qt to 172 qt.
Alekssandra [29.7K]

There is 75% decrease.

Step-by-step explanation:

Given,

Old value = 688 qt

New value = 172 qt

Change = New value - Old value

Change = 172 - 688

Change = -516 qt

The negative sign indicates decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease percent = \frac{516}{688}*100

Decrease percent = \frac{51600}{688}

Decrease percent = 75%

There is 75% decrease.

Keywords: division, subtraction

Learn more about subtraction at:

  • brainly.com/question/10196212
  • brainly.com/question/1021953

#LearnwithBrainly

3 0
2 years ago
Read 2 more answers
You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yel
notka56 [123]

Answer:

Green ball. $11

Step-by-step explanation:

Let's see.

15 balls. 7 are red. 6 are green. rest are yellow. That means there are 2 yellow balls.

Since there are more greens than yellows, you have a better chance of getting a green. That means you have a higher chance of getting $11

3 0
2 years ago
Read 2 more answers
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