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Sloan [31]
3 years ago
6

The salaries of Pet Detectives are normally distributed with a mean of $32,000 and a standard deviation of $3000. If 100 Pet Det

ectives are randomly selected, find the probability that their average salary is greater than $32,500. Select the single best answer choice
Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer:

P(\bar X> 32500)

And for this case we can use the z score formula given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing the info given we got:

z =\frac{32500-32000}{\frac{3000}{\sqrt{100}}}= 1.67

And for this case we can find the probability with the normal standard table using the complement rule and we got:

P(z> 1.67) = 1-P(z

Step-by-step explanation:

Let X the random variable that represent the salaries of Pet Detectives of a population, and for this case we know the distribution for X is given by:

X \sim N(32000,3000)  

Where \mu=32000 and \sigma=3000

We select a sample size of n =100 Pet Detectives and we want to find the following probability:

P(\bar X> 32500)

And for this case we can use the z score formula given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing the info given we got:

z =\frac{32500-32000}{\frac{3000}{\sqrt{100}}}= 1.67

And for this case we can find the probability with the normal standard table using the complement rule and we got:

P(z> 1.67) = 1-P(z

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Sum of acute angles are always 90 degree.
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So,acute angles are: 7(5), 11(5) = 35, 55

In short, Your Answer would be 35, 55, 90

Please re-look your options

Hope this helps!
4 0
3 years ago
A pair of dice are tossed. what is the probability that doubles are rolled, given that the sum on the two dice is less than 8?
rosijanka [135]
<span>(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

</span><span>the sum is less than 8, we will remove  s which have sum of 8 or more
we have 21

</span><span>(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) 
</span><span>(3,1) (3,2) (3,3) (3,4)
</span><span>(4,1) (4,2) (4,3)
</span><span>(5,1) (5,2)
</span><span>(6,1)
</span>
the doubles  (1.1)   (2.2)  (3.3) 
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3/21 = 1/7 
8 0
4 years ago
Storm spent less than 9 hours memorizing and filming a scene that was 6 pages long in script. Express this as an inequality usin
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Answer:

7.43

Step-by-step explanation

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4 0
3 years ago
Three business partners, Q,R, and S agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If
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Q:R:S
2:5:8
4000: ??? : ???

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2000 times 15 = 30,000

So the answer is B) $30,000

:)
7 0
3 years ago
Chloe purchased a sweater that cost $24 and a shirt cost 5-8 times as much as the sweater what amount of change did she receive
inn [45]

Answer:

The answer is "$11".

Step-by-step explanation:

Chloe bought a pull, which costs \$24, and a shirt which costs \frac{5}{8} times as much as the pullout.

Sweater cost = \$24

Shirt cost = \frac{5}{8} \times 24=15    

Therefore, total shirt and sweater costs= 24+15=39.

Then she gave \$ 50 to her officer.

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therefore, Chloe received a change of 11 dollars if she gave her employer \$50.

6 0
3 years ago
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