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Minchanka [31]
3 years ago
6

Evaluate each expression, 11,12,13

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

For this case we have the following:


a) \frac{60}{-3}

We look for a number that multiplied by the denominator, resulting in the numerator. When multiplying (-20) * (3) = 60, we get the numerator. Thus, the result is\frac{60}{- 3} = - 20


b) 6 - (- 3)

The law of signs states that:


+ * + = +

+ * - = -

- * + = -

- * - = +

According to the fourth case we have to:


6 - (- 3) = 6 + 3 = 9


c)(- 5) ^ 2 = (- 5) (- 5) = 25

For this case we apply the fourth case of the law of signs mentioned above. By power properties:


(a) ^ 2 = (a) (a)

Answer:


Part a: -20


Part b: 9


Part c: 25

ExtremeBDS [4]3 years ago
3 0
1. -20
2. 9
3. -25
Hope this helps
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3. How many silver cars is the dealer expected to sell, on average, out of five cars? Interpret this expected value in context.
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Answer:

E(X)= 0*0.27068 +1*0.40426+ 2*0.24151+3*0.07214+4*0.01077+5*0.00064=1.14998

So then the expected number of silver cars to sell for this case in the next five car sales is approximately 1.15 for the 23% of the total manufacturing cars produced.

Step-by-step explanation:

Assuming this problem :"23% of the cars a certain automaker manufactures are silver. Below is the probability distribution for the number of  silver cars sold by a car dealer in the next five car sales."

The distirbution is given by:

Num. Silver cars     0      |          1   |     2     |       3    |       4     |       5     |

Probability        0.27068|0.40426|0.24151|0.07214|0.01077|0.00064|

And assuming the following questions

What is the probability of selling at most three silver cars? Interpret this probability in context

For this case we just need to find this:

P(X\leq 3) = P(X=0) +P(X=1) +P(X=2)+P(X=3) = 0.27068+0.40426+0.24151+0.07214=0.98859

So then the probability of selling at most 3 silver cars in the next five car salesfrom the 23% of the total manufactured cars is 0.98859.

What is the probability of selling between and including one and four silver cars? Interpret this probability in  context.

For this case we just need to find this:

P(1 \leq X\leq 4) = P(X=1) +P(X=2) +P(X=3)+P(X=4) = 0.40426+0.24151+0.07214+0.01077=0.72868

So then the probability of selling between 1 and 4 silver cars in the next five car sales from the 23% of the total manufactured cars is 0.72868  in the next five car sales.

How many silver cars is the dealer expected to sell, on average, out of five cars? Interpret this expected value in context

For this case we can find the expected value on this way:

E(X)= 0*0.27068 +1*0.40426+ 2*0.24151+3*0.07214+4*0.01077+5*0.00064=1.14998

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4 years ago
A construction company charges $18 per hour for debris removal, plus a one time fee for the use of the trash dumpster. the total
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One time fee for the trash dumpster is $75.

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One time fee for the trash dumpster is $75.

Keywords: linear equations, Subtraction

Learn more about linear equations at:

  • brainly.com/question/4390083
  • brainly.com/question/4401748

#LearnwithBrainly

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