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Anastasy [175]
4 years ago
8

Explain why you can subtract exponents when you are dividing two powers with the same base.

Mathematics
2 answers:
Margarita [4]4 years ago
6 0
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
masya89 [10]4 years ago
3 0

When you divide numbers, you make the value smaller.  So subtract the exponents will make the value with that base smaller.


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Answer:

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Step-by-step explanation:

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What is the value of t?<br> 45.19
Mariana [72]
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3 years ago
Last question was inncorrectly typed:1.A sample of students who has taken a calculus test has a mean =78.2, mode =67, median 67.
vampirchik [111]

Answer:

(A) The data set of the sample of students who has taken a calculus test is right skewed.

(B) The average of female students in the class is 66.

Step-by-step explanation:

(A)

For a left skewed distribution the Mean < Median < Mode.

For a right skewed distribution the Mean > Median > Mode.

For a symmetric distribution the Mean = Median = Mode.

Given: Mean = 78.2, Median = 67 and Mode = 67

In this case the mean of the data is more than the median and mode.

Mean = 78.2>Median = Mode = 67

Thus, the data set of the sample of students who has taken a calculus test is right skewed.

(B)

Total number of student (n) = 35

Combined average (\mu_{c}) = 70

Number of male student (n_{M}) = 20

Average of male students (\mu_{M}) = 73

Number of female student (n_{F}) = 15

Average of female students = \mu_{F}

The formula to compute the combined average is:

\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}

Compute the value of \mu_{F} as follows:

\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}\\70=\frac{(20\times73)+(15\times\mu_{F})}{20+15}\\ 70\times35=1460+(15\times\mu_{F})\\\mu_{F}=\frac{2450-1460}{15} \\=66

Thus, the average of female students in the class is 66.

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4 years ago
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klio [65]

Answer:

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Step-by-step explanation:

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