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
Pepsi [2]
3 years ago
14

When a truckload of apples arrives at a packing plant, a random sample of 150 is selected and examined for bruises, discoloratio

n, and other defects.
The whole truckload will be rejected if more than 5% of the sample is unsatisfactory.
Suppose that in fact 8% of the apples on the truck do not meet the desired standard.

What's the probability that the shipment will be accepted anyway?
a. 0.0222
b. 0.9778
c. 0.088
d. 0.912
Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

c. 0.088

Step-by-step explanation:

Let p(s) be the proportion of apples defected in the sample. The probability that p(s)<0.05 can be calculated by calculating z statistic of 0.05:

\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) = 0.05
  • p is the proportion of the apples in fact defected (0.08)
  • N is the sample size (150)   Then,

z(0.05)=\frac{0.05-0.08}{\sqrt{\frac{0.08*0.92)}{150} } }=-1.354

And P(z<-1.354)≈0.0879

Therefore the probability that  a random sample of 150 among 8% defected apples can be accepted is 0.088.

You might be interested in
Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
olganol [36]
<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0
3 years ago
An 8 cm cube is cut into several small cubes of edge 2cm.how many cubes are formed ​
LiRa [457]
Its 8
not sure how to show the work but drew a pic and its 8
6 0
2 years ago
Suppose you just received a job offer with a starting salary of $37,000 per year and a guaranteed raise of $1500 per year. How m
Taya2010 [7]
Based on the given description above, here is how we are going to solve it.
Let n be the number of years. So the equation will be like this.
37000n + 1500n = 1025000
Now let us solve for n.
38500n = 1025000 <<<divide by sides by 38500 and the result is
n=26.62
Therefore, it will take 26 years and 6 months before you made a total salary of 1,025,000 dollars. Hope that this answer helps.
8 0
3 years ago
Read 2 more answers
sallys cup cake shop sold a total of 63 cupcakes yesterday and 32 of those had sprinkles how many cupcakes were sold without spr
lianna [129]

Answer:

31

Step-by-step explanation:

63-32=31

3 0
3 years ago
Monica’s checkbook register balance is $456.98. She has written checks in the amounts of $10.00, $14.95, $6.07, and $109.10. She
Setler79 [48]
456.98-10-14.95-6.07-109.10-30=<span>286.86

So her new </span>checkbook balance is $286.86
5 0
3 years ago
Other questions:
  • Please help!<br> Find the slope of the line. <br><br> A: 3/4<br> B:-4/3<br> C:-3/4<br> D:4/3
    8·2 answers
  • At what point does the line given by the following equation cross the x-axis? Y= -3/7 +4
    10·2 answers
  • How do you factor this expression: x^3 + 9x^2 + 27x + 27. Thanks! :)
    12·1 answer
  • 4. If Safa can run a mile in 2 minutes 30 seconds, what is his<br> rate in miles per minute?
    13·1 answer
  • Three friends go shopping together, and each buy the same kind of oranges. LaMar buys 2 pounds (lb) and pays $5.00. Enrico buys
    12·2 answers
  • What is the slope intercept of f(4,3); 2x-7y =14​
    12·1 answer
  • A community center is collecting blankets. Last year the center collected 81 blankets. This year they were able to collect 102 b
    11·2 answers
  • Susie's bakery is having a sale on all cookies. The bakery is offering a sale pack of 4 cookies for $2.80. What is the unit pric
    8·1 answer
  • Based on her recipe, Elena knows that 8 servings of
    9·1 answer
  • The fee to check luggage with a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!