A company manufactures batteries in batches of 26 and there is a 3% rate of defects. Find the standard deviation for the number of defects per batch.

Answers

Answer 1

Answer:

The standard deviation for the number of defects per batch is 0.87.

Step-by-step explanation:

Let X denote the number of defective batteries per batch.

A company manufactures batteries in batches of n = 26.

It is provided that the rate of defects is, p = 0.03.

Each battery is defective independently of the others.

The random variable X follows a binomial distribution.

The standard deviation of a binomial distribution is:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

Compute the standard deviation for the number of defects per batch as follows:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

  [tex]=\sqrt{26\times 0.03\times (1-0.03)}\\\\=0.86982757\\\\\approx 0.87[/tex]

Thus, the standard deviation for the number of defects per batch is 0.87.


Related Questions

Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?​

please include and explantation

Answers

Answer:

????

Step-by-step explanation:

 

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.

Answers

Answer: A, B, and E

Step-by-step explanation:

The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A  is a subset of S

How to determine the true statements?

The sample space is given as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The possible subsets of S are as follows:

Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusive

Using the above highlights, the possible set of A are:

A could be {1, 2, 3}. A = {1, 2, 3, 4}.

Hence, the true statements are (A) and (B)

Read more about spinners at:

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Please help geometry find the solution

Answers

Answer:

Directions Unclear:

Step-by-step explanation:

I am now drowning on air.

Answer:

ok

Step-by-step explanation:

Multiply two and four-fifths negative five and two-thirds

Answers

The answer is -25/3.



If you need it simplified let me know.

The price of a television was reduced from $250 to $200. What was the percent decrease in price? HELPP? ILL GIVE YOU A BRAINLLEST?!!

Answers

Answer:

20%

I hope this is good enough:

Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?

Answers

9514 1404 393

Answer:

24 oz Asian Treasure36 oz Paradise

Step-by-step explanation:

The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...

  (6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea

The remaining 60-24 = 36 ounces will be Paradise tea.

__

Using an equation

You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...

  7.50a +5.00(60 -a) = 60(6.00)

  (7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side

  (7.50 -5.00)a = 60(6.00 - 5.00) . . . . . .  subtract 60(5.00)

  a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'

Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.

Find the distance between the points (-3, -6) and (1, -2).

Answers

Answer: -3 - 1 = -4

Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.

Evaluate the function for x = 2,3,4
F(x) =2x-7-3

Answers

Answer:

below in bold

Step-by-step explanation:

f(x) = 2x - 7 - 3

~Combine like terms

f(x) = 2x - 10

When x = 2...

f(x) = 2(2) - 10

f(x) = 4 - 10

f(x) = -6

When x = 3...

f(x) = 2(3) - 10

f(x) = 6 - 10

f(x) = -4

When x = 4...

f(x) = 2(4) - 10

f(x) = 8 - 10

f(x) = -2

Best of Luck!

HELP
Solve y – 18 = –3.

Answers

Answer:

y = 15

Add 18 to both sides to cancel out the negative next to the y

Answer:

y=15

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-18-(-3)=0

y-15 = 0  

Add  15  to both sides of the equation :  

                     y = 15


If 6 x 7 = 26 +0, find the number that belongs in the box.
211

Answers

Answer: 185 sorry if wrong

Find the value of this question ​

Answers

Answer:

the expression is equal to 0

David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay

Answers

Answer:

13 : 4

Step-by-step explanation:

13 : 4

he has 13 cows and he has 4 bales of hay so 13:4

you can't simplfy it so its still 13 : 4

what is the product of 22 and 8

Answers

the product of 22 and 8 is 56

Answer:

22 times 8 is equal to 176

Step-by-step explanation:

Write a fraction that is equal to 5

Answers

Answer:

5/1

Step-by-step explanation:

Evaluate the expression 8-3×2+5

Answers

Answer:

7

Step-by-step explanation:

First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7

Explain how multiplying fractions and dividing fractions are alike and how they are different. ​

Answers

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

The equation F= 9/5C +32 relates temperature measured in degrees Celsius. C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.

Answers

Given:

The equation is

[tex]F=\dfrac{9}{5}C+32[/tex]

To find:

Whether there is a proportional relationship between C and F.

Solution:

If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).

Put F=0 and C=0 in the given equation.

[tex]0=\dfrac{9}{5}(0)+32[/tex]

[tex]0=0+32[/tex]

[tex]0=32[/tex]

This statement is not true because [tex]0\neq 32[/tex].

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

Answer:

korrect

Step-by-step explanation:

it looks right

x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution

Answers

here x+3y=13

x=13-3y.....1st equation

-3x+2y=27......2nd euation

now putting the value of x from equation 1st in 2nd we will get

-3(13-3y)+2y=27

-49+9y+2y=27

11y=27+49

y=76÷11

y=6.9

now again putting the value of y in equation 1st we get

x=13-3×6.9

x=13-20.7

x=7.7

Point M lies on the line segment connecting L(-4, 2) and N (2,-4). If M partitions the segment in the ratio 1:2, what are the coordinates of M?

Answers

AWSER is C
~ Give me a like if this helps ⚡️

Chloe prepared 28 kilograms of dough after working 7 hours. How much dough did Chloe prepare if she worked for 8 hours? Assume the relationship is directly proportional.

Answers

Answer:

Chloe prepared 32 kilograms if she worked for 8 hours.

Step-by-step explanation:

28 ÷ 7 = 4

4 kilograms per hour worked

4 × 8 = 32

Answer:

32 kilograms

Step-by-step explanation:

The proportion of kilograms of dough to the number of hours worked is [tex]\frac{28}{7}[/tex] which equals to 4 kilograms / hour.

You multiply 4 kilograms/hour by the number of hours she worked which is 8 hours so 4 kg/hour (8 hours) = 32 kilograms.

ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?​

Answers

Answer

the 1st equation

Step-by-step explanation:

find the domain of f(x) . give answer in interval notation

Answers

Answer:

(0,6]

Step-by-step explanation:

Evaluate 2ab if a=5 and, b=8.

Answers

Answer:

80

2(5)(8)

you multiply 2 times 5 = 10

10 times 8 is 80

John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year

Answers

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

4. The value of a copy machine is $8500 when it is purchased. After two years its value is $7475. What is its value after 8 years?​

Answers

Answer:

3375 is the answer.

Step-by-step explanation: 8500- 1025=7475

so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.

I hope this works :)

Which reason justifies statement 2?

A) Vertical angles are congruent

B) Corresponding angles are congruent

C) Alternate interior angles are congruent

D) Alternate exterior angles are congruent

Answers

Answer:

Step-by-step explanation:

Is b) corresponding angles are congruent.

The reason that justifies statement two: "Angle Y ≅ Angle 4", is option C "Alternate interior angles are congruent".

What are congruent angles?

Angles that are of the same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of the same measure, then

[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of the same measurement, where the small m shows that it's the measurement's the angles they're preceding.

We can see that angle Y and angle 4 are two alternate angles within the two parallel lines cut across by the transversal, therefore, they are called alternate interior angles.

Since Alternate interior angles are always congruent to each other.

Thwithefore, the reason that justifies statement two: "Angle Y ≅ Angle 4", is "Alternate interior angles are congruent".

Learn more about congruent triangles here:

https://brainly.com/question/16921692

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2688 divided by 96 with remainder

Answers

Answer: OK, the answer is 28.

Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?

How many solutions does the absolute value equation have?

I x - 3 I + 2 = -2

Answers

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.

__

Additional comment

Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.

A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= time in seconds and h= height in feet.) what was the maximum height of the ball and what time was the maximum height reached?

Answers

Answer:64

Step-by-step explanation:

Answer:

2fiftguvvbbhb to the following ad listing has ended on the same to ensure everyone I r

If Thomas travels 120 miles in 2 hours how many will it take him to travel 300 miles

Answers

it will take him (5 hours) to travel 300 miles.

Answer:

5hours

Step-by-step explanation:

120÷2=60

60=1 hour

300÷60=5

5hours

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