1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
If Logan's family can drive 23 1/8 miles on 1 gallon of gas,how far can they drive on 17 gallons
guapka [62]

\bf \begin{array}{ccll} miles&\stackrel{gas}{gallons}\\ \cline{1-2}\\ 23\frac{1}{8}&1\\\\ x&17 \end{array}\implies \cfrac{23\frac{1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{23\cdot 8+1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{185}{8}}{x}=\cfrac{1}{17} \\\\\\ \cfrac{\frac{185}{8}}{\frac{x}{1}}=\cfrac{1}{17}\implies \cfrac{185}{8}\cdot \cfrac{1}{x}=\cfrac{1}{17}\implies \cfrac{185}{8x}=\cfrac{1}{17} \\\\\\ 3145=8x\implies \cfrac{3145}{8}=x\implies 393\frac{1}{8}=x

4 0
3 years ago
Calculate the slope of the line that goes through the points (2, 0) and (−4, 6)
Ivenika [448]

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>-</em><em>1</em>

<em>look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

6 0
3 years ago
Read 2 more answers
(3x – 70) (3y+40) 120 x
enyata [817]

Answer:

3x-70

Step-by-step explanation:

(3y+40 ) 120x is the answer of that question answer

4 0
2 years ago
Read 2 more answers
Simplify by combining like terms: -4x - 2y - 7x - 8y
Sav [38]

Step-by-step explanation:

Solving like terms

-4x - 7x - 2y -8y

-11x - 10y

3 0
3 years ago
A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?
Fofino [41]
Pythagoras Theroem.
Leg₁²+leg₂²=hypotenuse²

Data:
Leg₁=48
hypotneuse=80

(48)²+ leg₂²=(80)²
2304+leg₂²=6400
leg₂²=6400-2304
leg₂²=4096
leg₂=√4096
leg₂=64

Answer: B.  64
8 0
3 years ago
Other questions:
  • Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the
    10·2 answers
  • Donna has 6 hours to spend training for an upcoming race,she completes her training by running full speed the distance of the ra
    12·1 answer
  • During bowling practice, Marley rolled 14 strikes out of 70 attempts. What percent of Marley’s attempts were strikes?
    11·2 answers
  • You are new in town and need to know how the streets flow in order to efficiently get around town. Your math friend decides to
    9·1 answer
  • please help me with questions 15 and 16 please. Will give brainilist to the person who gives the answer and how they did it
    12·1 answer
  • Please help me I only need d. ​
    12·2 answers
  • What angle is supplementary to EAB? (Just write the three letters. Remember the vertex needs to be in the middle.)
    10·1 answer
  • Pls helppppppp!!!!!!!
    6·1 answer
  • PLEASE I NEED HELP TO ALL!!​
    8·2 answers
  • Triple u then divide 3 by the result?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!