The pencils produced by the machine are unsharpened, so two employees in the factory need to sharpen each pencil by hand. Employee A can sharpen 8 pencils per minute and Employee B can sharpen 5 pencils per minute. Employee A breaks 10% of the pencils they sharpen and Employee B breaks 15% of the pencils they sharpen. What is the probability that a broken pencil was broken by Employee A

Answers

Answer 1

Answer:

0.4156

Step-by-step explanation:

Given that:

Employer A:

8 pencils per minute

Probability of breaking a pencil = p(A) = 10%

Employer B:

5 pencils per minute

Probability of breaking a pencil = p(B) = 15%

Hence,

Probability of breaking a pencil:

P(breaking a pencil) = (P(A breaks pencil) * P(A)) + (p(B breaks pencil) * p(B))

P(A breaks pencil) = 0.1 * 8 = 0.8

P(B breaks pencil) = 0.15 * 5 = 0.75

P(breaking a pencil) = (0.8 * 0.1) + (0.75 * 0.15) = 0.1925

Hence, probability that a broken pencil was broken by employer A will be :

(P(A breaks pencil) * P(A)) / probability of breaking a pencil

= (0.8 * 0.1) / 0.1925

= 0.08 / 0.1925

= 0.4155844

= 0.4156


Related Questions

How do you find the mean and standard deviation?

Answers

To find the mean you have to add up all the numbers, then divide by how many numbers there are. To find standard deviation you need to find the mean, then for each data point, find the square and it’s distance to the mean, sum the values, then you divide by the number of data points.

The ratio of apples to oranges on the shelf is 6:5. If there are 220 pieces of fruit on the shelf, how many of each kind are there?

Answers

Answer:

120 apples and 100 oranges

Step-by-step explanation:

6/11 x 220 = 120 apples

5/11 x 220 = 100 oranges

A. 5x – 2 + 2 = 2 - 4
B.
5x +2 = 2-4
1) How can we get Equation B from Equation A?
Choose 1 answer:
А
Add/subtract a quantity to/from only one side
B
Add/subtract the same quantity to/from both sides
Rewrite one side (or both) using the distributive property

Answers

Answer:a

Step-by-step explanation:

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. Erica has at most $10 to spend on the cab ride. How far can Erica travel?

Answers

Answer:

x = 12.7 or x ≈ 12

Step-by-step explanation:

1.75 + 0.65x = 10

0.65x = 10 - 1.75

0.65x = 8.25

x = 8.25 / 0.65

x = 12.7

x ≈ 12

note: we round it up to 12 and not 13, because Erica does not have enough money for 13 miles

Please help ill give brainliest

Answers

Answer:

1- true

2- dairy

3- false

1. i think this one is false
2. fats
3. false

Josh wants to add a model of a tree house to his model railroad layout how big should the tree be if the actual tree is 315 inches and the scale is 1:90

Answers

Answer:

3.5 inches on the scaled model

Step-by-step explanation:

So using the ratio, 1:90 I thought of two ways to solve this

1) Proportion

2) Equation

Using the proportion method

1:90=x:315

Now cross multiply

315=90x

Now solve and you’ll get 3.5

Equation is just

315/90=X?

Just solve and you’ll also get 3.5

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Answers

Answer:

m<B = 115°

Step-by-step explanation:

add <A and <C, then subtract that from 180° to get <B

Easy algebra 1 please help

Answers

9514 1404 393

Answer:

  (H)  y = 1/3x + 5

Step-by-step explanation:

When x=0, y=5, so you know G is not a possibility.

Y increases at a lower rate than x does. For example, between the first two table entries, x goes up by 6, but y goes up by 2. The only choice with a rate of change less than 1 is ...

  (H)  y = 1/3x + 5

If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.

Answers

EZ Evacuation : it is less expensive .

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

Answers

Answer:

ummmmmmmmmmmmm ok but nice

Step-by-step explanation:

The function g is defined by:

Answers

g(x) = x² - x - 6

so

g (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14

When g(x) = 6, we have

6 = x² - x - 6

x² - x - 12 = 0

Solve for x. We factorize this easily as

(x - 4) (x + 3) = 0

which gives

x - 4 = 0   or   x + 3 = 0

x = 4   or   x = -3

write an equation in point slope form of the line that passes through the point (0,1) and has a slope if -3/2

Answers

Step-by-step explanation:

y - 1 = -3

x - 0 2

2y - 2 = -3x

2y = -3x + 2

4 ones + blank = 1 ten

Answers

Answer:

6 ONES

Step-by-step explanation:

Answer:

6 ones

Step-by-step explanation:

Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster? HOW MICH FASTER PER HOUR DOES THE PERSON RUN?

Answers

Answer:

Code: Olivia-2.40

Step-by-step explanation:

Given that:

Maggie runs 1/4 of a mile in 1.3 minutes

1/4 can also be written as 0.25

Speed = [tex]\frac{Distance}{Time}[/tex]

Speed = [tex]\frac{0.25}{1.3}[/tex]

Speed of Maggie = 0.19 miles per minute

Speed of Maggie per hour = 0.19*60 = 11.40 miles per hour

Olivia runs 2/3 of a mile in 2.9 minutes

Speed = [tex]\frac{\frac{2}{3}}{2.9}=\frac{2}{2.9*3}[/tex]

Speed = [tex]\frac{2}{8.7}[/tex]

Speed of Olivia = 0.23 miles per minute

Speed of Olivia per hour = 0.23*60 = 13.80 miles per hour

Therefore,

Olivia runs faster.

Difference = 13.80 - 11.40 = 2.40 miles

Hence,

Code: Olivia-2.40

Answer:

Olivia-2.25

If you would like me to explain why, please let me know.

Which of these describes the function graphed below? PLSSSSSSS help

Answers

Answer:

it's B

Step-by-step explanation:

i got right on my assessment and because if you look closer when X is in the negative side the line is straight but when the line increases and the x is in the positive side it's curved

when x<0 the graph is linear and when x>0 then the graph is non- linear.

What is linear and non linearity in a graph?

A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.

Something that is linear is related to a line. A line is built using all of the linear equations. A non-linear equation is one that cannot be represented by a straight line. It has a variable slope value and resembles a graphed curve.

Given:

We have the graph

From the graph we can see that when x<0 then there linearity or proportionality between x and y.

and, when x>0 then the graph is not a line it is turned out in a curve, which is not linear.

Hence, when x<0 the graph is linear and when x>0 then the graph is non- linear.

Learn more about linear and non linearity in a graph here:

https://brainly.com/question/28393413

#SPJ6

1. Find the 8th term of the following linear sequences.
i) 2,4,6,8,...
ii) -7,-4,-1.2- iii)0,-1/2,-1,-1 1/2
iv) 12,5,-2. v) 8,14, 20,...
vi) 63,58, 53, ...​

Answers

We know the formula,

t =n =ar

n−1

Here n=8

Common ratio =−2 and first term =a=−6

t =8

=(−6)×(−2)

8−1

t =8

Use this formula

=(−6)×(−2)

7 t= 8

=768

Page
Date
#
Solve sauare completing method
2x^2-9x-5 =0​

Answers

Answer:

The roots are 5 and −12

Step-by-step explanation:

Hope this helped have an amazing day!

Determine the solution to the following system of equations: x + y = -3x - y = 1
(-2,3)
(-1,-2)
(0,0)
No Solution

Answers

Answer:

( -1,-2)

Step-by-step explanation:

x + y = -3

x - y = 1

Add the two equations together to eliminate y

x + y = -3

x - y = 1

------------------

2x = -2

Divide by 2

2x/2 = -2/2

x = -1

Now find y

x+y =-3

-1 +y = -3

-1+1 +y = -3+1

y = -2

( -1,-2)

Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.
Is the answer
A. y + 1 = 4x – 1
B. y – 1 = 4x + 1
C. y – 1 = 4(x + 1)
D. y + 1 = 4(x – 1)

Answers

Answer:

I would say the best answer choice is B.

Martha needs 7 strawberries for every 1 smoothie.
What are the missing values in the table

Answers

4, 21, 10
————
28-4
21-3
70-10

Answer:

Strawberries         Smoothies

28                           4

21                          3

70                      10

Step-by-step explaination

If Maria uses 28 strawberries you would divide that by 7 (since that's how many she uses for one smoothie) after you divide 28 by 7 you get 4, 4 is the number of smoothies 28 strawberries makes.

If Maria makes 3 smoothies you multiple 3 by 7 (since that's how many strawberries she uses to make one) 7 times 3 is 21. If you want to check your work you would divide 21 by 7 (the number of strawberries used for 1 smoothie) and you would get 3.

If Maria uses 70 strawberries you would divide 70 by 7 (the number of strawberries used for 1 smoothie) 70 divided by 7 is 10, 10 is the number of smoothies 70 strawberries make.

the sum of 5/7 and 3/6​

Answers

1.21428571429
I’m not sure if you want it simplified, but this is the answer.

Answer:

1.21

Step-by-step explanation:

;/

The price of a pair of sunglasses was reduced from $55 to $33. By what
percentage was the price of the sunglasses reduced?

Answers

Answer:

166.6% (put a little line over the LAST 6.)

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100.

Answer:

60%

Step-by-step explanation:

33×100=3300÷55=60

60%×55=33

A taxi agency collected data from a random sample of 600 people in their city asking whether or not they own a car. Based on the results, they report that 44% of the people in the state own a car. Why is this statistic misleading

Answers

Answer:

first of all 44% of 600 people is equal to 264 .

the statistics is misleading because 264 people can't unless the taxi angecy included themselves

Marta's pet snake is 10 inches shorter than three times the length of Dilbert's pet snake. If both their snakes laid together end to end measure 110 inches, how long is Marta's snake? Which equation would NOT solve this problem?
x + 3x - 10 = 110
3x - 10 = 110
4x - 10 = 110
x + 3x = 120

Answers

X=30 I used a website lol

Uhm ian askin fo a lot buh ,,, uh someone add me on Rblx , XxColdTyXx is da user

Answers

Answer:

Mk! I will when I get my account back!

Step-by-step explanation:

A particle starts to move from rest in a straight line with an acceleration which increases with constant time rate from 1 ft./sec^{2} to 4 ft./sec^{2} in one second. prove that the particle will move a distance of 1 ft. in this second.

Answers

The particle's acceleration a increases at a constant rate, so that its average rate of change is equal to its instantaneous rate of change, which is equal to

(4 ft/s² - 1 ft/s²) / (1 s) = 3 ft/s³

The particles starts with acceleration a (0) = 1 ft/s², so we can determine its acceleration at time t by the fundamental theorem of calculus:

a(t) = a (0) + ∫₀ (3 ft/s³) du

a(t) = 1 ft/s² + (3 ft/s³) t

It also starts from rest, so with initial velocity v (0) = 0. Integrating again gives us the velocity function,

v(t) = v (0) + ∫₀ a(u) du

v(t) = ∫₀ (1 ft/s² + (3 ft/s³) u) du

v(t) = (1 ft/s²) t + 1/2 (3 ft/s³) t ²

Taking the particle's initial position to be x (0) = 0, compute the integral again to determine the distance it travels in 1 s:

x(t) = x (0) + ∫₀ v(u) du

x(t) = ∫₀ ((1 ft/s²) u + 1/2 (3 ft/s³) u ²) du

x(t) = 1/2 (1 ft/s²) t ² + 1/6 (3 ft/s³) t ³

→   x (1 s) = 1/2 (1 ft/s²) (1 s)² + 1/6 (3 ft/s³) (1 s)³ = 1 ft

a boy has 10 cookies. and his brother has 2.5 times as many. how many does the brother have

Answers

Answer:

25

Step-by-step explanation:

Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 35 weekly reports showed a sample mean of 19.5 customer contacts per week. The population standard deviation was 5.2. Provide a 99% confidence interval for the population mean number of weekly customer contacts for the sales personnel.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that:

Confidence interval (C) = 99%, mean (μ) = 19.5, standard deviation (σ) = 5.2, sample size (n) = 35

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.005

The z score of α/2 (0.005) is the same as the z score 0.495 (0.5 - 0.005) which is equal to 2.576.

The margin of error (E) is given as:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=2.576*\frac{5.2}{\sqrt{35} } \\\\E=2.264[/tex]

The confidence interval = (μ ± E) = (19.5 ±  2.264) = (17.236, 21.764).

The confidence interval is between 17.236 and 21.764.

what is the area of this figure pleas ill give brainy and lots of points

Answers

Your ANWSER will be gimme 5 points and I will give you x23

Michelle had 600 fish to feed the dolphins in a zoo. Each dolphins ate the same number of fish. There are 9 dolphins in all. How many fish did Michelle have left?​

Answers

Answer:

each dolphins eat 600÷9=66.67

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