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Phoenix [80]
2 years ago
9

What is the product in lowest terms?

Mathematics
1 answer:
Alisiya [41]2 years ago
4 0
-5/12 × 8/13

First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
- \frac{5 \times 8}{12 \times 13}

Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
-\frac{40}{156}

Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.

Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4. 
40 \div 4 = 10  \\ 156 \div 4 = 39

Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction. 

Answer in fraction form: \fbox {-10/39}
Answer in decimal form: \fbox {-0.2564}
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Describe the sample variance using words rather than a formula. do the same with the population variance
Korvikt [17]

The option D is the correct option.

According to the statement

we have to define the sample variance in the words.

So,

The sample variance is the sum of the squared deviations from the mean divided by the number of measurements minus one.

and in the case of the population variance it becomes

The population variance is the average of the squared distances of the measurements on all units in the population from the mean.

This is the method by which we define the sample variance and population variance.

So, The option D is the correct option.

Learn more about the VARIANCE here brainly.com/question/15858152

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3 0
2 years ago
Is 4 √ 7 2 written in simplest radical form<br><br> yes or no
lord [1]

Answer:

No.

Step-by-step explanation:

Notice that 72 can be written as 8 * 9.

4√72 = 4(√8)(√9) = 4(√8)(3) = 12√8.

Hence the answer is No.

4 0
3 years ago
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PLEASE HELP step by step
Katen [24]

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = $ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $

Here, $ (x_1, y_1) = (2, -3) $ and

$ (x_2, y_2) = (8, 5) $

Therefore, distance, d = $ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $

$ = \sqrt{6^2 + 8^2} $

$ = \sqrt{36 + 64} $

$ = \sqrt{100} $

= 10 units.

Hence, the answer.

3 0
3 years ago
Please help I'm very confused and frustrated.
Ray Of Light [21]

Step-by-step explanation:

-36.8 + 9.2(2). [as the value of x is 2]

-36.8 + 18.4

= - 18.4 [as the number with the

Negative sign is greater]

7 0
2 years ago
Read 2 more answers
Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8
Schach [20]

Answer:

y - 2 = (1/8)(x + 8)

Step-by-step explanation:

The slope of the given line is -8.  That means the slope of any line perpendicular to the given line will be the negative reciprocal of -8, which would be (1/8).

Then the desired equation is

y - 2 = (1/8)(x + 8)

4 0
3 years ago
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