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
Ronch [10]
1 year ago
14

A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled

and tested, by being used for one month, under standardized conditions that mimic typical operating conditions. Calculate the probability that the number of tested rafts that develop cracks is no more than 3. Round your answer to four decimal places.
Mathematics
1 answer:
rewona [7]1 year ago
8 0

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

You might be interested in
Solving and graphing absolute value equations
Monica [59]
\begin{gathered} -4\text{ + 7}x\text{ }\leq6x\text{ + 2} \\ 7x-6x\leq2+4 \\ x\text{ }\leq6 \end{gathered}

6 0
1 year ago
A customer buys three packets of cookies that
MArishka [77]
11.43 hope you have a good day
7 0
2 years ago
Read 2 more answers
2) university theater sold 556 tickets for a play. tickets cost $22 per adultand $12 per senior citizen. if total receipts were
harina [27]
About 708 or 707.6666666667
7 0
3 years ago
Write a matrix equation for the given systems of equations.
REY [17]

Answer:

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

Step-by-step explanation:

Given system of equations are

2x-6y-2z = 1

3y - 2z = -5

2y + 2z = -3

given

2 x - 6 y - 2 z = 1

0 x + 3 y - 2z = -5

0 x +2y + 2 z = - 3

<em>The Matrix form of the given system of equations </em>

<em>A X = B</em>

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

4 0
3 years ago
I cannot seem to get this right.Find an equation of the line that has a slope of -4 and a y intercept of 9. y=
Gala2k [10]

Answer:

y=-4x+9

Step-by-step explanation:

-4 is the slope and the y intercept is 9

8 0
3 years ago
Read 2 more answers
Other questions:
  • X-13+4x=22<br><br> A. 1.8<br><br> B. 5<br><br> C. 7<br><br> D. 11.7<br><br> Help
    7·1 answer
  • Find the distance between the pair of points given on the graph.
    11·2 answers
  • Is this a nonlinear function xy=2x-1
    10·1 answer
  • Divide 9x ^ 3 + 18x ^ 2 - 13x + 5 by 3x - 1 using division and write the division in the form P = DQ + R
    11·1 answer
  • You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual
    14·1 answer
  • Jamila is a roller coaster architect. She needs to determine the slope of a huge roller coaster
    13·2 answers
  • Plz helpp it important
    14·1 answer
  • I know it’s not math, but I couldn’t find science but please help
    8·2 answers
  • Help me, I'm fighting with this question from 1 week<br>please ༎ຶ‿༎ຶ​
    11·2 answers
  • Find the value of y.<br> 7<br> х<br> 3<br> Z<br> y = V[?]<br> Give your answer in simplest form.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!