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TEA [102]
3 years ago
8

A department store has a discount box of cell phone cases. In the box are 10 leather cases, 12 protective plastic cases, and 6 f

abric cases. If a customer randomly selects a case, what is the probability that it is a fabric case? Enter your answer as a fraction, in simplified form, in the box.
Mathematics
2 answers:
Kisachek [45]3 years ago
7 0
28 cell phone cases in all. 
6 of the 28 cases are fabric. 

6/28 simplified to 3/14 

So the answer to your question would be 3/14

Hope this helps! :) 
vodka [1.7K]3 years ago
3 0
Let me help assist you.
This question is asking for, in simplified form, the fraction that the customer will select the fabric case. We will start by making the fraction.
First, let's add the total number of cases.
10 + 12 + 6 = 28.
There is 28 cases in all. Let's subtract the number of fabric cases.
28 - 6 = 22.
With this information, we can make the fraction, which is 6/28.
The question asks for simplest form, however. Now that we have the fraction, we can proceed to this step.
We have to find the GCD of the numerator and denominator, which is 2.
Now, we have to divide both 6 and 28 by the GCD (2).
6 ÷ 2 = 3
28 ÷ 2 = 14
The simplest form of 6/28 is 3/14.

Hope this answers your question correctly.


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What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
2 years ago
13. Jessica has taken 8 quizzes. The mean of her scores is 92. Her first 6 scores are shown.
Dovator [93]

Answer: Median= 91; 8th quiz score=86

Step-by-step explanation: The sum of the scores is 8×92=736. Subtract the 6 given scores and then a 100 for the seventh quiz to find the score she got on the 8th quiz, this is an 86. Now that you have all the scores, arrange them all in the least to greatest order and find the average of the middle two numbers (median), which is 91!

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3 0
3 years ago
Read 2 more answers
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iragen [17]
Number one is correct and so is two
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3 years ago
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denis23 [38]

Answer:

the answer is D

Step-by-step explanation:

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