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
UNO [17]
3 years ago
9

Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w

ith a mean of 12 million dollars and a standard deviation of 1.2 million dollars.
One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% of all quarterly sales levels.


Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not.


(Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.)
Mathematics
1 answer:
cupoosta [38]3 years ago
6 0

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 1.2

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

Z = \frac{X - \mu}{\sigma}

-1.047 = \frac{X - 12}{1.2}

X - 12 = -1.047*1.2

X = 10.7436

The cutoff sales level is 10.7436 millions of dollars

You might be interested in
What is the measure of LXZW?<br> 850<br> 150°<br> Y<br> 65°<br> 95<br> Z<br> 215°<br> W<br> 30°
Semenov [28]

Answer:

so the answer is 95°

Step-by-step explanation:

The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.

3 0
2 years ago
Determine what type of model bet fits the given situation: Every day, half a bacteria population dies. A. Linear B.quadratic C.
makvit [3.9K]

Answer:

Exponential

Step-by-step explanation:

<em>Starter:</em>

According to the title:

"Every day, half a bacteria population dies."

Exponential: y = ab^x ( b > 0 , b ≠ 1)

So the answer is C.

<em>Calculations:</em>

An exponential model is of the form y = a • b^t.

If you start with population of 500 million bacteria

t = 0

so 500 million = a • b^0 = a

Since every day half the population dies then in 1 day population will be 250 million

so a = 500 million, y = 250 million and t = 1

250 million = 500 million • b^1

b = 0.5

Therefore your equation would be

y = 500 million (or whatever the pop) • 0.5^t

Where t = number of days

This could also be written in exponential form ( e = 2.73)

4 0
2 years ago
Mike has 4 black marbles tom has 2 black marbles how many black marbles do they have in all​
kompoz [17]

Answer:

6

Step-by-step explanation:

4+2

4 0
3 years ago
HELP PLEASE CROWN THAN TO PEOPLE Should ANSWER
Slav-nsk [51]

Answer:

I cant see the picture

Step-by-step explanation:

8 0
3 years ago
Convert 65 millimeters to centimeters<br> Pls help me on this question
miss Akunina [59]

Answer:

Its 6.5

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Let L be the line with parametric equations x=5+t,y=6,z=−2−3t. Find the vector equation for a line that passes through the point
    7·1 answer
  • Write 12.9 + 8 using words.
    7·1 answer
  • Solve the equation log(10-4x) = log(10-3x)
    5·1 answer
  • When 4(0.5x+2.5y-0.7x-1.3y+4)is simplified, what is the resulting expression?
    14·2 answers
  • Solve the following inequality 3y + 5 &lt; 10
    13·1 answer
  • A cube with the number 1,2, 3, 4, 5 and 6; what is the probability of getting an even number?
    11·1 answer
  • Awnser and show your work &lt;3
    15·1 answer
  • Easy question for alot points
    13·2 answers
  • First convert these fractions to twelfths then order them.Write your
    7·1 answer
  • How did you do the work
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!