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alexgriva [62]
2 years ago
11

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia

tion of $4,000. What is the z-score of a company employee who makes an annual salary of $54,000?
–5
–3
4
5
Mathematics
1 answer:
lora16 [44]2 years ago
8 0

z-score of a company is 5.

What is z- test?

A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

Now, using z- score

z= (x-\mu)/\sigma

z= 54000- 34000/ 4000

z= 20000/4000

z=5.

Hence, z-score of a company is 5.

Learn more about this concept here:

brainly.com/question/1546834

#SPJ1

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre
Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0
3 years ago
X² - 36= x² - y²= 100 - a²= c² - 9/49=
bixtya [17]

Answer:

78

Step-by-step explanation:

i am using my sisters account hehe thats what u get for taking a shortcut boyyyyyyyyyy

7 0
3 years ago
90 POINTS!!! PLEASEE HELP AND SHOW WORK. I WILL GIVE BRAINLIEST IF ALL WORK IS SHOWN THANKSS.
konstantin123 [22]

Answer:

18. 3.3years

Step-by-step explanation:

18. 20,000 - (20,000 - .15x) = 10,000

15% of 20,000 is 3,000

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3 years ago
Marion is driving between two towns that are close together. If she drives 1⁄5 the trip in 15 minutes, what is her rate per hour
netineya [11]

Answer:

4/5 in one hour

Step-by-step explanation:

15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four

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3 years ago
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