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True [87]
3 years ago
11

Can you please help me quickly

Mathematics
1 answer:
storchak [24]3 years ago
8 0
Hello there! How are you today?

The answer choices appear to be indicating that we must apply the distributive property to find our simplified expression. To apply the distributive property, we must multiply the number outside of the parenthesis by all numbers inside of the parenthesis.

For example;

2(1 + 3)
Multiply 2 by all numbers inside of the parenthesis separately.

2(1) + 2(3)
2 + 6
8.

Now that we've explained and (hopefully) understand the concept of our problem, let's prepare to solve.

We have the following expression and answer choices:
96 + 36

A.) 4(24 + 9)
B.) 6(16 + 6)
C.) 12(8 + 3)
D.) 18(5 + 2)

Before we proceed to solve for this, let's evaluate our question carefully.

"Tonya uses the greatest common factor and the distributive property to rewrite this sum: 96 + 36"

Now, let's list the factors out from each number.

96;

1 x 96
2 x 48
3 x 32
4 x 24
6 x 16
8 x 12

36;

1 x 36
2 x 18
3 x 12
4 x 9
6 x 6

Now that we've listed our factors, let's take a look and see which answer choices contain our factors and which don't.

A, B, and C all list factors that are shown above. However, D doesn't as it has "5", which we do not have any numbers that end in 5 or 0, so we can remove answer choice "D" off of our list.

We are now remaining with answer choices A, B, and C.

Since the question requests that we use the greatest common factor, let's take a look into our factors and see which one is the greatest.

The greatest common factor is "12", so we should look for the answer choice that best matches 12.

Answer choice "C" is the only answer choice that contains our greatest common factor, 12.

Your answer is "C.)"

I hope this helps!
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App 19.study
lions [1.4K]

Answer:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

Step-by-step explanation:

Given

n = 125

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

Pr = \frac{Frequency}{n}

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

Pr(2) = \frac{13}{125} = 0.104

Pr(4) = \frac{29}{125} = 0.232

Pr(6) = \frac{6}{125} = 0.048

When the frequency is to be calculated, we use:

Pr = \frac{Frequency}{n}

Frequency = n * Pr

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

Frequency(3) = 125 * 0.144 = 18

Frequency(5) = 125 * 0.296 = 37

For roll of 1 where the frequency and the probability are not known, we use:

Total \ Frequency = 125

So:

Frequency(1) added to others must equal 125

This gives:

Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125

Frequency(1) + 103 = 125

Collect like terms

Frequency(1) =- 103 + 125

Frequency(1) =22

The probability is then calculated as:

Pr(1) = \frac{22}{125}

Pr(1) = 0.176

So, the complete table is:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

5 0
3 years ago
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