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Nana76 [90]
3 years ago
8

What is the quotient of 6 and -1/2? A. -12 B. -1/2 C.1/12 D. 12

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

the correct answer is A. -12

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A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years
juin [17]

Answer: 0.55567

Step-by-step explanation:

Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.

i.e.

\mu=10\text{ years}\\\sigma=3\text{ years}

Let X_1 and X_2 are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator X_3 .

So that, X =X_1+X_2-1.9\times X_3

Mean =E(X_1)+E(X_2)-E(X_3)=10+10-1.9\times10 =1

Standard deviation =\sqrt{(Var(X_1)+Var(X_1)+Var(X_1))}

=\sqrt{(3^2+3^2+(1.9\times3)^2)}

=7.1056315694

Z-score : z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14

Now , The  probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-

P(Z>-0.14)=P(Z

Hence, the required probability is 0.55567.

3 0
3 years ago
135% as a fraction or a mixed number fully simplified please
solong [7]

Answer:

135% = 27/20 = 17/20 as a fraction

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

135% = 135/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 135 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(135,100) = 5. So,

(135÷5)/(100÷5) = 27/20 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 135/100 is also equal to 1 7/20 when expressed as a mixed number.

6 0
2 years ago
What is the graph's approximate rate of change? -1/2 12 2 -2
geniusboy [140]
The answer is 1/2 i did the test and got it right can i get brainliest please
5 0
3 years ago
Carla and Mia own neighboring cornfields. Carla harvested 9/10 of an acre of corn on Monday and Mia harvested 1/2 of an acre. Ho
viva [34]

Answer:

2/5 of an acre

Step-by-step explanation:

1/2 an acre, or 5/10 of an acre, is subtracted from 9/10 of an acre

4/10 can be simplified into 2/5 if divided by two

8 0
3 years ago
Read 2 more answers
What is the inverse one to one function of f(x) = square root of x-2???
alexira [117]
f(x) = \sqrt{x - 2} \\y = \sqrt{x - 2} \\y^{2} = (\sqrt{x - 2})^{2} \\y^{2} = x - 2 \\x^{2} = y - 2 \\x^{2} + 2 = y \\x^{2} + 2 = f^{-1}(x)
6 0
3 years ago
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