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
posledela
3 years ago
14

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer ab

out a complaint is normally distributed, with a mean of 10.1 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)(a) less than 10 minutes (b) longer than 5 minutes (c) between 8 and 15 minutes
Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

0.6395 ; 0.9657 ; 0.7333

Step-by-step explanation:

Given that:

Mean (m) = 10.1

Standard deviation (s) = 2.8

Obtain the following probabilities :

a) less than 10 minutes

P(x < 10)

Z = (x - m) / s

Z = (10 - 10.1) / 2.8

Z = 0.1 / 2.8

Z = 0.0357142

P(Z < 0.357) = 0.6395 ( Z probability calculator)

(b) longer than 5 minutes

P(x > 5)

Z = (x - m) / s

Z = (5 - 10.1) / 2.8

Z = −1.821428

P(Z < - 1.821) = 0.9657 ( Z probability calculator)

(c) between 8 and 15 minutes

P(8 < x < 15)

P(x < 8)

Z = (x - m) / s

Z = (8 - 10.1) / 2.8

Z = − 0.75

P(Z < - 0.75) = 0.22663 ( Z probability calculator)

P(x < 15)

Z = (x - m) / s

Z = (15 - 10.1) / 2.8

Z = 1.75

P(Z < 1.75) = 0.95994 ( Z probability calculator)

P(Z < 1.75) - P(Z < - 0.75)

0.95994 - 0.22663 = 0.7333

You might be interested in
Simplify and express in exponential form: 8^-1 * 3^3/ 2^-4 * 9^-2
Yuri [45]

Answer:

2^1* 3^7

Step-by-step explanation:

8^-1 * 3^3/ 2^-4 * 9^-2

Negative exponents move from the numerator to the denominator or from the denominator to the numerator

2^4*9^2* 3^3 /8^1  

Rewriting 9^2 as 3^2^2 = 3^4  and 8 = 2^3

2^4 * 3^3 * 3^4 / 2^3

2^4/ 2^3 = 2   and 3^3 * 3^4 = 3^(3+4) = 3^7

2* 3^7

5 0
3 years ago
Read 2 more answers
Anyone want points and a Brainliest :p
fenix001 [56]

Answer:

MEEEE PLEASEEEEEEEE

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Hillsdale's zoo has two elephants. The male elephant weighs 9 7/12 tons and the female elephant weighs 3 5/6 tons. How much more
Alex Ar [27]

Answer:

6 10/12

Step-by-step explanation:

thank u

7 0
3 years ago
Read 2 more answers
Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times
MatroZZZ [7]

Answer:

Lavania observed 39 fruit flies after 6 days of observation

Step-by-step explanation:

Let x be the number of fruit flies on the first day of Lavania's study.

After 6 days she had nine more than five times as many fruit flies as when she began the study.

Five times as many fruit flies as when she began the study = 5x

Nine more than five times as many fruit flies as when she began the study=5x+9

The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9

If she observes 20 fruit flies on the first day of the study, then x=6, then

5x+9=5\cdot 6+9=30+9=39

5 0
3 years ago
In which direction does the parabola open?
svetoff [14.1K]
The parabola opens up as the largest term has a positive leading co-efficent


7 0
3 years ago
Other questions:
  • Sam is packing food boxes for the food bank. For each apple, he packs 3 plums. What is the ratio that represents the amount of p
    5·1 answer
  • How to write 354.3 in scientific notation?
    6·1 answer
  • Use the distributive property to express 36 +48
    10·1 answer
  • There are 38 tables at the fifth grade picnic at a local park. There will be 182 students attending the picnic. The parents were
    12·1 answer
  • Marcie solved the following inequality, and her work is shown below:
    11·1 answer
  • It took a pet store 7 weeks to sell 56 cats. What is the rate sold per week?
    12·1 answer
  • I really need help asapppppp
    12·2 answers
  • 1. The value of the digit 8 in the number 850.74 is *
    7·2 answers
  • The equation w(t)=100+40t models the weight (w(t) in grams) of a male white laboratory rat t weeks after its birth.
    9·1 answer
  • 7 less than the square of a number.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!