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
aivan3 [116]
3 years ago
12

At a large department store, the average number of years of employment for a cashier is 5.7 with a standard deviation of 1.8 yea

rs, and the distribution is approximately normal. If an employee is picked at random, what is the probability that the employee has worked at the store for over 10 years? 99.2% 0.8% 49.2% 1.7%
Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0

Answer:

option 0.8%

Step-by-step explanation:

Data provided in the question:

Mean = 5.7 years

Standard deviation, s = 1.8 years

Now,

P(the employee has worked at the store for over 10 years)

= P(X > 10 years)

= P (Z > \frac{X-Mean}{\sigma})

or

= P (Z > \frac{10-5.7}{1.8})

= P (Z > 2.389 )

or

= 0.008447     [from standard  z table]

or

= 0.008447 × 100% = 0.84% ≈ 0.8%

Hence,

the correct answer is option 0.8%

You might be interested in
A box contains 146 marbles which are either red or blue. there are 28 more blue marbles than red marbles. how many blue marbles
rusak2 [61]
R + b = 146.  Supposing that b=r+28, 

r + (r+28) = 146, or 2r + 28 = 146.

Simplifying:  2r = 118.  Then r = 59, and b = r+28 = 59+28 = 87 blue marbles
6 0
3 years ago
. Find the value of $1,300 invested at 4.2% interest compounded continuously for 5 years, 9 months. Round your final answer to t
BARSIC [14]
The formula we use for continuous compounding is A=Pe ^{rt} where P is the initial amount invested, r is the rate as a decimal, and t is time in years.  Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75).  Putting all that into our formula we have A=1300(2.718) ^{(.042)(5.75)}.  We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300.  Doing all of that, we get the amount at the end to be $1,655.10
5 0
3 years ago
Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?
Butoxors [25]
12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people
6 0
3 years ago
Read 2 more answers
Graph y-4=2x and identify<br> the slope and y-intercept.
zzz [600]

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find x<br> 5[x^2]+5[x]-x^2-x=2004
a_sh-v [17]

The answer is either x=\frac{-1}{2}+\frac{1}{2}\sqrt{2005}\\ or x=\frac{-1}{2}+\frac{-1}{2}\sqrt{2005}

To solve: Let's solve your equation step-by-step.

5x2+5x−x2−x=2004

Step 1: Simplify both sides of the equation.

4x2+4x=2004

Step 2: Subtract 2004 from both sides.

4x2+4x−2004=2004−2004

4x2+4x−2004=0

Step 3: Use quadratic formula with a=4, b=4, c=-2004.

x= −b±√b2−4ac /2a

x= −4±√32080 /8

x=\frac{-1}{2}+\frac{1}{2}\sqrt{2005}\\ or x=\frac{-1}{2}+\frac{-1}{2}\sqrt{2005}

4 0
3 years ago
Read 2 more answers
Other questions:
  • Kate paid $224 in interest on a 4- year loan at a rate of 7%. How much did she borrow?
    7·1 answer
  • HELP!! What is the absolute value of –1.9?
    14·2 answers
  • What is Algebra?<br>What is a equation?​
    5·1 answer
  • On 49 the wording is confsuing me can someone help please it is greatly appreacated
    10·1 answer
  • 6th grade math help me plzzzz
    14·2 answers
  • Pls help me with this
    9·1 answer
  • Evaluate: a+b/c if a = -6,b = -4 and c= -2
    9·1 answer
  • A livestock pen is built in the shape of a rectangle
    14·2 answers
  • What is the equation of the line that passes through the point (4,−7) and has a slope of -1/2?
    5·2 answers
  • Which is greater?<br> B. 42%<br> A. 0.482
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!