Answer:
0.7995 = 79.95% probability that the sample will contain at least three defectives.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Suppose that a random sample of 20 items is selected from the machine.
This means that [tex]n = 20[/tex]
The machine produces 20% defectives
This means that [tex]p = 0.2[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 20*0.2 = 4[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.2*0.8} = 1.79[/tex]
Probability that the sample will contain at least three defectives
Using continuity correction, this is [tex]P(X \geq 3 - 0.5) = P(X \geq 2.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 4}{1.79}[/tex]
[tex]Z = -0.84[/tex]
[tex]Z = -0.84[/tex] has a pvalue of 0.2005
1 - 0.2005 = 0.7995
0.7995 = 79.95% probability that the sample will contain at least three defectives.
When 334 college students are randomly selected and surveyed, it is found that 103 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.
Answer:
(.24329, .3734)
Step-by-step explanation:
1-propzint
n=334
x=103
c level .99
i need the answer asap 20 points
In an arithmetic sequence, the first term, a_1,a
1 , is equal to 5,5, and the fifth term, a_{5},is equal to 41.41. Which number represents the common difference of the arithmetic sequence?
Answer:
10
Step-by-step explanation:
The general term of an arithmetic sequence is given by ...
an = a1 +d(n -1) . . . . where a1 is the first term and d is the common difference
__
This formula can be used to find the value of d. The first term is given as 1, and the 5th term (a5) is given as 41. The value of n for the 5th term is 5.
an = a1 +d(n -1)
41 = 1 +d(5 -1) . . . . . substitute known values
40 = 4d . . . . . . . subtract 1, simplify
10 = d . . . . . . divide by 4
The common difference of this sequence is 10.
Answer:
10
Step-by-step explanation:
PLS HELP!!
PLSSSSSSSSSSSSSSS!!!!!
Answer:
1. x = 15
2. x = 26
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
Last year, your salary was $33,975. This year, your boss tells you your salary will be $34,960. What percent raise (change) did you receive? Round your answer to the nearest tenth of a percent.
Answer:
2.9%
Step-by-step explanation:
Hey guy good morning How are you today can you please help me with my number seven question please I will mark you brainly ?
Answer:
b. 41.43gallons
Step-by-step explanation:
no of gallon = distance/rate(fuel economy)
=1243/30
=41.4333333333gallons
Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?
1
5
11
13
Answer:
5
Step-by-step explanation:
It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.
Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?
Answer:
990
Step-by-step explanation:
:)
Given that the volume of a rectangular prism is given by the formula V = lwh, what is the value of V if I = 7 cm, w = 5
cm, and h = 4 cm?
A)
16 cm
B)
48 cm
C)
70 cm
D)
140 cm
Can anyone please help me answer the
PICTURE IS PROVIDED!
Answer:
∠a = 29° (alt. int. angles)
∠b = 46° (alt. int. angles)
∠1 = ∠a + ∠b
= 29° + 46°
= 75°
The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.
Answer:
39 I believe. The question is a little confusing.
Step-by-step explanation:
49-10=h 39=h
Not sure if this is what you want the question is worded weirdly.
sam bought 4kg of red apples some yellow apples and 3 kg of green apples she bought a total of 9,000 whats the mass of the yellow apples
Find the product of C =AB.
Cu=
C12=
C21 =
C22 =
Answer:
c11= -1
c12= 3
c21= 3
c22= -3
Step-by-step explanation:
on edg
Answer: HAVE AN awesome day
Step-by-step explanation:
Help me please help ASAP please please help me ASAP
answer:
39.9
Step-by-step explanation:
54= area of rectangle
28.26= area of the circle
divide circle area by 2
= 14.13
subtract half of circle from rectangle area
54- 14.13
= 39.9
PLEASE HELP!!!!
What mixed number do these squares model?
19/5=?
Enter your answer
Answer:
19/5= 3 4/5.
Step-by-step explanation:
19 divided by 5 equals 3 with a left over of 4. So 3 and 4/5 should be the answer. hope this helps! have a good day!
A chemist is using 358 milliliters of a solution of acid and water. If 13.5% of the solution is acid, how many milliliters of acid are there
Round your answer to the nearest tenth.
Answer:
48 milliliters
Step-by-step explanation:
13.5% of 358 is 48
Please help giving brainliest please help
Answer:
G
Step-by-step explanation:
In the equation, 8.5 will represent how much money Oscar earns per hour, and the x represents how many hours he works. The inequality sign shows that the sum of 8.5x and 100 has to be at least 397.50 (397.50 and up), so H and J are automatically wrong. If Oscar had given his brother 100 dollars, there would be a subtraction sign, but there is an addition sign instead, meaning he gained 100 dollars that did not come from his job. It would be the most logical to say that his brother had given it to him, so G is the correct answer.
Find the length of the third side. If necessary, round to the nearest tenth.This is on Pythagorean theory
Answer:
23 because the 24 side is a little bigger than the other side
Step-by-step explanation:
Evaluate the following expression.
9 +62 – 2.8=
Answer: I think it’s 68.2
Answer:
68.2 for sure
Step-by-step explanation:
which is typically true regarding loan repayments A. The higher interest rate you receive the lower the total repayment. B. The quicker you pay off the loan to lower the total repayment. C. The quicker you pay off the loan the higher the total repayment. D. The time you take to pay off the loan does not affect the total amount of repayment.
Answer:
B
the quicker you pay off the loan, the lower the total repayment.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Yes bbbbbbbbbbbbbBBbbBbBB
Corey buys chicken wings at a rate of $10 for 40 wings. He sells 10 wings for $5.
How much does Corey pay for each chicken wing he purchases?
Answer:
20
Step-by-step explanation:
Alternate exterior angles
Answer:
[tex]When \: two \: lines \: are \: crossed \: by \: another \: line \: (called \: the \: Transversal \: ): \: Alternate \: Interior \: Angles \: are \: a \: pair \: of \: angles \: on \: the \: inner \: side \: of \: each \: of \: those \\ \\ \\ \\ \\ two \: lines \: but \: on \: opposite \: sides \: of \: the \: transversal.[/tex]
hope it helps if it helps don'tforget to like and mark
What is the value of x?
I WILL GIVE YOU BRAINERLEST AND A LIKE
Find the area of the parallelogram.
Answer:
i am not very sure but i think its 50in
Step-by-step explanation:
area of parallelogram is height multiplied by the base
hope this helps
HELP ASAP how do I solve this problem
PLEASE HELP I WILL MARK BRAINLIEST!!!
Answer:
D: 6
Step-by-step explanation:
We know that the triangle is a right triangle
We can halve each of the sides
20/2 = 10
16/2 = 8
Pythagoream Theorem: A^2 + B^2 = C^2
C= 10
A= 8
10^2 - 8^2 = B^2
100 - 64 = 36
B^2 = 36
B = 6
Need help to solve problem‼️
Answer:
1. B
2. F
3. D
4. E
5. A
6. C
I hope that this helped
Answer:
1. B
2.F
3.D
4.E
5.C
6.A
Is 0.36279979176191 rational or irrational
Monica drinks 0.125 liters of milk during breakfast and 0.20 liters of milk after dinner everyday. Find the total amount of milk she drinks in a day, using significant digits.
A. 0.325 L
B. 0.33 L
C. 1 L
D. 3.25 L
The total number of milk drank in a day since the significant figure is not specified is 0.325 L.
What are significant figures?Significant figures are a way of approximation of large numbers to the required approximation such as two significant figures, three significant figures, or more, as the case may be.
From the given information:
Monica drinks 0.125 liters of milk during breakfast, and0.20 liters of milk after dinner every dayThe total number of milk drank in Liters in a day is:
= (0.125 + 0.20) L
= 0.325 L
Learn more about significant figures here:
https://brainly.com/question/24491627
#SPJ1
Answer:
the correct answer is B. 0.33 L
Explanation:
I just took this quiz and this was the correct answer.
help ples me i hate ixl
Answer:
200
Step-by-step explanation:
Base of the prism is a square
So
[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]
[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]
[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]
Now
[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]
[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]
[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]
Coin Calculation plz help
Answer:
I do not agree with either of them.
2^28 is the number 2 multiplied 28 times.
2^28 = 268,435,456
Step-by-step explanation:
Since exponents are repeated multiplication, you would have to multiply "2" 28 times.
Like this, 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2.
The product of 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2 is 268,435,456.
Therefore, I do not agree with either of them.