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
Dvinal [7]
3 years ago
9

Monthly sales of water heaters are normally distributed with a mean of 21 and a standard deviation of 5. What is the probability

of selling 12 water heaters or
less?
a) 3.59%
Ob) 1.8096
O c) 96.41%
O d) 8.45%
Mathematics
1 answer:
mina [271]3 years ago
4 0

Answer:

Option A: 3.59% is the correct answer

Step-by-step explanation:

Z-score is used to calculate the probabilities when mean and standard deviation is given.

Given

Mean = μ = 21

SD = σ = 5

We have to find the probability of selling 12 or less water heaters so our x value is 12

x = 12

The z-score of a value is calculated as:

z-score = (x-μ)/σ

Putting the values

z-score=\frac{12-21}{5} \\=\frac{-9}{5}\\=-1.8

Now z-score table will be used to calculate the probability for z= -1.8

So we will go for the row with -1.8 and column 0, which gives us: 0.03593

As we have to calculate the probability in percentage

=0.03593*100\\= 3.593\%

Hence,

Option A: 3.59% is the correct answer

You might be interested in
A half-dollar coin issued by the United States Mint measures 30.61 millimeters across. Nick has 9 half dollars. He lines them up
Paraphin [41]

Answer:

Step-by-step explanation:

137,745 mm

Becouse the diamter of the Half dollar is 2 double Than a raggio becoise u must moltiplicate it for Hal of the moneu u have... 4.5 x 30.61

6 0
2 years ago
Can someone please help me with this question please ?
EleoNora [17]

Answer:

x=43

Step-by-step explanation:

Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.

x+72 = 115

then you subtract 72 from both sides

x=43

8 0
3 years ago
Last year, James earned £1,100 per month. This year, he's had a 4% increase in his monthly pay. He worked 40 hours per week for
avanturin [10]

Answer:

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

Step-by-step explanation:

Given;

Last year pay = £1,100 per month

This year, he's had a 4% increase in his monthly pay

This year pay P = 1,100 + 4% of 1,100 = 1,100 +1,100(0.04)

This year pay P = £1,144 per month

Yearly pay Tp= 12 × P = 12 × £1,144 = £13,728

Number of hours worked this year;

He worked 40 hours per week for 48 weeks in the year

N = 40 hours per week × 48 weeks per year

N = 1920 hours per year

Average pay per hour this year A;

A = Yearly pay/Number of hours worked this year

A = Tp/N

A = £13,728/1920hours

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

5 0
3 years ago
Shaila and her sister Sarah are babysitting three Kids for 5 hours. If the parents pay $2.50 per hour for each kid,how much will
mart [117]

3 times 5 times 2.5 = $37.5

3 x 5 =15

15 x 2.5 =37.5

37.5 x 2 = 75 for both of them

I don't know if this is right or not, but that's how I would solve it!

8 0
3 years ago
Can someone please give me the answers to this? ... please ...
Darina [25.2K]

Step-by-step explanation:

anyway, without any further information about ground consistency, friction and stuff, we have to assume ideal circumstances.

so, the same energy that made the ball flying through the air makes it also bounce or roll across the ground carrying it exactly the same distance at the same time.

the distances with an ideal, reflective ground will be the same.

it is the same energy released with the same inertia.

6 0
3 years ago
Other questions:
  • I need the answer. ​
    15·1 answer
  • Plz help I need it by tomorrow morning ​
    11·1 answer
  • Simplify by combining like terms.<br> 3(-2y-9)-2y
    7·2 answers
  • -5x+1+2x+2=-2+2x<br> I’m super lost
    11·1 answer
  • Answer this |2x-9|&lt;8
    5·2 answers
  • What number is 18% of 250
    13·2 answers
  • This figure consists of a rectangle and semicircle.
    13·2 answers
  • The sum of two numbers is 24. The difference is 15. What are the two numbers?
    14·1 answer
  • Help due asap show workings please
    6·1 answer
  • The improper fraction of 1 IS.... 81 0 3 2 3 S 3​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!