1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.05). Suppose that 10 batteries are produced. a. Find the expected number of defective batteries. b. Find the variance and standard deviation in the number of defective batteries. c. Find the probability that at least 1 battery is defective.

Answers

Answer 1

Answer:

0.5 ; 0.475 ; 0.689 ; 0.4013

Step-by-step explanation:

Given that:

Rate of production of defective batteries p = 0.05

Number of batteries produced (n) = 10

The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries

Variance of defective batteries :

Var(X) = n * p * q ; q = 1 - p

Hence,

Var(X) = 10 * 0.05 * 0.95 = 0.475

Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689

Probability that atleast 1 battery is defective :

Using the binomial probability function

P(x ≥ 1) = 1 - p(x = 0)

= 1 - q^n

= 1 - 0.95^10

= 1 - 0.59873693923837890625

= 0.40126306076162109375

= 0.4013


Related Questions

what is the value of the digit 2 in 92153

Answers

Answer:

thousand is the correct answer :)))

2,000 or two thousand

15 lb 7 oz - 6 lb 8 oz

Answers

Answer: 8.5lbs 7 oz

Step-by-step explanation:

8oz=.5lbs

15lbs 7oz-6.5lbs=

8.5lbs 7 oz

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Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)

2. angle KLP = 3x, so

3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. 5 gives 4x = 108, so x = 27

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

ngl i didnt really get this i i kinda have a some what idea on what this is

The exterior angles of the triangle added to their corresponding interior angles equal 180 degrees by virtue of the sum of angles on a straight line.

As such the interior angles are

1. 180 - (x+ 3)

2. 180 - (2x+ 1)

3. 180 - (3x - 4)

Given that the sum of angles in a triangle is 180 degrees

180 - (x+ 3) +  180 - (2x+ 1) + 180 - (3x - 4) = 180

540 - 6x = 180

6x = 540 - 180

6x = 360

x = 60

The exterior angles are

x + 3 = 60 + 3 = 63

2x + 1 = 2(60) + 1 = 121

and

3x - 4 = 3(60) - 4 = 180  - 4 = 176

Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below

Answers

9514 1404 393

Answer:

  1/192

Step-by-step explanation:

The properties of exponents useful here are ...

  a^0 = 1 . . . . for a ≠ 0

  a^-b = 1/a^b

__

  [tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]

i. what is sec (17pi/3)

Answers

Answer:

1.05

Step-by-step explanation:

example sec x=1/cos x

sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05

Hope it helps

Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?

Answers

Answer:

.........................

Answer:

200

Step-by-step explanation:

she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200

What is the center of the circle shown below?
А
ОА. В
ОВ. АВ
в
ос. А
OD. Y

Answers

Answer:

A

Step-by-step explanation:

the answer is A with the letter B next to it

The center of the circle is B.

What is Center of Circle?

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.

A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.

When we are given a circle and must locate its centre.When a circle's equation is supplied and we need to get the coordinates of its centre.

From the figure the equidistant point from the surface of the circle is  B.

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You order pizza on Door Dash. It costs $39. Sales tax is 7% and you want to leave 20%
for tip. What is the total cost including the sales tax and tip? (HINT: regular price + sales
tax + tip = total cost

Answers

Answer:

$47.4

Step-by-step explanation:

prize = $39

sales tax = $7

total cost = x

tip = 20% of the tax

tip = 20% of 7

=$ 1.4

total cost = 39 +7+ 1.4

= $47.4

Answer:

$49.53

Explanation:

Convert  7 %  to a decimal.

0.07  x 39

Multiply  0.07  by  39 .

2.73

Repeat, but with 20%.

7.8

Add the tax and tip to the original price:

39 + 2.73 = 41.73

41.73 + 7.8 = $49.53

What is the equation of parabola

Answers

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

so the equation of the parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.

PLEASE HELP :( I WILL GIVE BRAINLIEST ANYTHING

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Answer:

Incline plane 4

Step-by-step explanation:

Tina's plans to make wooden fences To put heard to triangle art pieces In

How much wood would she need for triangle DFG

Answers

Answer:

54 feet.

Step-by-step explanation:

Consider AB and DF. FD is 3 times the size of AB

So if AC = 7 then DG = 3* 7 = 21

The total Perimeter = 15 + 18 + 21 = 54 feet

Answer:

well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho

Find the indicated term of the arithmetic sequence.

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The 22nd term of the arithmetic sequence is:
.

Answers

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

plz give brainliest

which expression represents"divide the sum of x and 2 by 4"?

Answers

Answer:

Step-by-step explanation:

pix

If 30% of all the people at the carnival are on a ride, how many people are on a ride?

Answers

Answer:

165

Step-by-step explanation:

30% x 550= 165

28/x+4=11 Please help soon

Answers

Answer:

how soon tho

Step-by-step explanation:x= 4

Solve the equation for x. 3x = 15​

Answers

Answer:

x=5

Step-by-step explanation:

15/3=5 or 5x3=15

Answer:

So divide each term by -3 and simplify the answerr x=5

Step-by-step explanation:

Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

Your answer:

Answers

Answer: you need 3/8 buckets of nuts to fill the barrel.

Step-by-step explanation:

I will find the equation and explain it with words at the same time, so it is easier to understand.

We know that:

1/4 buckets of nuts, fills 2/3 of the barrel.

Then we can write the equation:

(1/4) buckets of nuts = (2/3) of the barrel

We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2

(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.

3/8 buckets of nuts = 1 of the barrel.

This means that you need 3/8 buckets of nuts to fill the barrel.

Line B crosses through the points (3,1) and (-3,-1). Using those two points, find the slope of line B.

Answers

The slope of line B is 2/6. Attached below is my work. Hope you score a ^w^

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2. 3/10 - (-1/4)
3. -2/3 + (3/4 + 5/3)

Answers

1. Answer: 19/30 or 0.63
2. Answer: 11/20 or 0.55
3. Answer: 7/4 or 1 3/4 or 1.75
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2.11/20
3.7/4

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Step-by-step explanation:

Answer:

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Answer:                            

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Answers

Step-by-step explanation:

The number of subsets=2ⁿ where n=4 members

2ⁿ=2⁴=16

Number of proper subsets=2ⁿ-1

16-1=15

Help asap if you get it right ill give 30 points no cap. Zach created a blueprint using only similar parallelograms.

Which statement about the parallelograms must be true?

The parallelograms have corresponding angles that are not congruent.

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Answer: Hello!

Step-by-step explanation:

Your answer would be D :)

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Answer:

the answer is x over -2 × 14

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Select the correct answer. What is this expression in simplified form? (√22)(5√2) A. 10√11 B. 12√11 c. 20√11 D. 24√11​

Answers

Answer:

A. 10[tex]\sqrt 11[/tex]

Step-by-step explanation:

Just took the test and got it right! Hope this helps!

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

What is an expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Given expression

[tex](\sqrt{22})(5\sqrt{2})[/tex]

= [tex](\sqrt{22} )(\sqrt{25}) (\sqrt{2} )[/tex]

The expression is in the form of [tex]\sqrt{x} .\sqrt{y} .\sqrt{z} =\sqrt{x.y.z}[/tex]

= [tex]\sqrt{22.(25).(2)}[/tex]

= [tex]\sqrt{11.(2).(25).(2)}[/tex]

= [tex]\sqrt{11.(100)}[/tex]

= [tex]\sqrt{100} .\sqrt{11}[/tex]

= [tex]10\sqrt{11}[/tex]

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

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Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td

Answers

Answer:
B) E = 2t + 2d

Explanation:
t and d are being multiplied by 2 for the amount of work done by each.

If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.
True
False

Answers

Answer:

True

Step-by-step explanation:

y = mx + b,

where m = slope and b = y-intercept.

You have m = -2 and b = -5, so you get

y = -2x - 5

Answer: True


D
E
F
Using the Pythagorean Theorem, which of the following is true?

Answers

Answer:

D

Step-by-step explanation:

- {(-2, 6), (2.0), (3,6), (4, -1), (5,3)} is it a function​

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yes because none of the x’s are the same

What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answers

Answer:

x576 567 871 12 135 35l4367 89

Answer:

210cm

Step-by-step explanation:

54+66+30+42+18=210cm^2

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