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
fomenos
3 years ago
11

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

iation of 0.2 inches. What is the probability that a sheet selected at random will be less than 29.75 inches long
Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0

Answer:

6.68% or 0.0668

Step-by-step explanation:

Mean sheet length (μ) = 30.05 inches

Standard deviation (σ) = 0.2 inches

In a normal distribution, for any length X, the z-score is determined by the following expression:

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

For X = 29.75, the z-score is:

z=\frac{29.75-30.05}{0.2}\\z=-1.5

A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution.

Therefore, the probability that a sheet selected at random will be less than 29.75 inches long is 6.68%.

You might be interested in
Which is the range of the function f(x) =1/7(9)x? all real numbers all real numbers less than 0 all real numbers greater than 0
zimovet [89]
I cannot suggest anything other than the set of real numbers here, but maybe someone else can provide a better answer. As long as you increase or decrease x (which is a real number) then you will get a real number, or the infinite set of real numbers. 
4 0
3 years ago
Read 2 more answers
Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.
Maurinko [17]

Answer:

35% discount

Step-by-step explanation:

We can first find what percent of 32 20.80 is.

This can be shown by using a percent proportion.

\frac{20.80}{32} = \frac{x}{100}

We can cross multiply to find the value of x.

20.80\cdot100=2080\\\\2080\div 32 = 65

So 20.80 is 65% of 32.

However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

100 - 65 = 35

So the book was on a 35% discount.

Hope this helped!

3 0
4 years ago
Solve for y, 2y=-4x-14
BabaBlast [244]

Hello from MrBillDoesMath!

Answer:    y = 2x - 7

Discussion:

Divide both sides of the equation by 2:

2y /2  = (4x-14)/2 = 4x/2 -14/2

or


y = 2x - 7

Thank you,

MrB

7 0
3 years ago
Segment BD is a median. Solve for x. Round to the nearest tenth, if necessary. (Image not necessarily to scale.)
nata0808 [166]

Answer: 10

Step-by-step explanation:

By definition, the point at which a median intersects the side of the triangle opposite from the vertex from which it is drawn is the midpoint of that side.

6 0
2 years ago
A bottle of root beer contains 4/5 of a liter. How much root beer is in 3 bottles?
NemiM [27]
4/5 * 3 = 12/5 liters     There are 2 cups in a liter so to find the root beer in cups, divide 12/5 by 2.    You will get 12/10 cups which is 1.1 cups
3 0
3 years ago
Other questions:
  • Which equation is equivalent to log3(x+5)=2
    10·2 answers
  • Spinning a loop of wire between the poles of a magnet will induce an electric current. Which of the following conditions will mi
    10·1 answer
  • All of the following are ways to write 25 percent of N except
    7·1 answer
  • Please help quick it is for eighth grade
    11·1 answer
  • Kevin operates a movie theater that sells about 800 tickets per day for $8 each. Kevin predicts that for each $0.50 increase in
    5·1 answer
  • Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of equality, wh
    14·2 answers
  • In a school thereare 160 boys to number of girls is 2:3how many girls there are
    11·2 answers
  • Which algebra tiles are used in this equation: <br><br> 4x + 7 = 23
    12·2 answers
  • Multiply.
    9·1 answer
  • The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!