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Leno4ka [110]
3 years ago
13

PLEASE HELP FAST simplify: sqrt 8 + 2 sqrt 15

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

2\sqrt{2} + 2\sqrt{15}

Step-by-step explanation:

\sqrt{8} = \sqrt{4}\sqrt{2} = 2\sqrt{2}

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Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
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Answer: A. 85.7

Step-by-step explanation:

Given : Two sections of a class took the same quiz.

Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.

We know that  , \text{Mean}=\dfrac{\text{Sum of observations}}{\text{No. of observations}}

Then , for section A :

\text{Mean score }=\dfrac{\text{Sum of scores in sec A}}{\text{No. of students}}

\Rightarrow\ 80=\dfrac{\text{Sum of scores in sec A}}{15}\\\\\Rightarrow\ \text{Sum of scores in sec A}=80\times15=1200

Similarly in Section B, \text{Sum of scores in sec B}=90\times20=1800

Total scores = Sum of scores in sec A+Sum of scores in sec B

=1200+1800=3000

Total students = Students in sec A +Students in sec B

=15+20=35

Now , the mean score for all of the students on the quiz =\dfrac{\text{Total score}}{\text{Total students}}

=\dfrac{3000}{35}=85.7142857143\approx85.7

Hence, the approximate mean score for all of the students on the quiz = 85.7

Thus , the correct answer is option A. 85.7.

7 0
3 years ago
A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a vari
wel

Given :

A one-year membership to a gym costs $725.

The registration fee is $125.

To Find :

How much new members pay each month.

Solution :

Remaining fee = Total fee - Registration fee

R = $( 725 - 125 )

R = $600

Amount of fee paid monthly is :

C=\dfrac{R}{12}\\\\C = \dfrac{600}{12}\\\\C = \$50

Therefore, monthly fee is $50.

Hence, this is the required solution.

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Step-by-step explanation:

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B is the valid use of the associative property of addition
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Answer: 45 degrees I think


Step-by-step explanation:


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3 years ago
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