a) Out of all items sent for refurbishing, %40 had mechanical defects, %50 had electrical
defects, and %25 had both. Denoting  defectmechanicalahasitemanA  and
 defectmechanicalahasitemanB  . Fill the probabilities into the Venn diagram and
determine the quantities listed below.
(i)  AP [2 Marks]
(ii)  BAP  [1 Mark]
(iii)  BAP c 

Answers

Answer 1

i. P(A) = 0. 4

ii. P(AB) = 0. 9

iii. P(A∩B) =0. 25

How to determine the probability

From the information given,

Universal set = 40% + 50% + 25% = 0.40 + 0. 50 + 0. 25

A = Mechanical defects = 40%

B = Electrical defects = 50%

A∩B =25%

i. Probability of A , P(A)

= [tex]\frac{40}{100}[/tex]

= [tex]0. 4[/tex]

ii. Probability of B, P(AB)

= [tex]\frac{40}{100} + \frac{50}{100}[/tex]

= [tex]0. 4 + 0. 5[/tex]

= [tex]0. 9[/tex]

iii. Probability of A∩B entails the common factor between A and B

P(A∩B)  = [tex]\frac{25}{100}[/tex] = [tex]0. 25[/tex]

Learn more about Venn diagram here:

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Related Questions

The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.

Answers

Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.

What is an exponential function?

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the parameters of the equation is defined as follows:

A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.

In the context of this problem, the values of the parameters are given as follows:

A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.

Hence the equation for the number of students in t years after 2005 is given as follows:

[tex]A(t) = 127(1.03)^t[/tex]

The number will be of 350 students when A(t) = 350, hence:

[tex]A(t) = 127(1.03)^t[/tex]

[tex]350 = 127(1.03)^t[/tex]

[tex](1.03)^t = \frac{350}{127}[/tex]

[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]

t = 34.3 years.

34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.

Missing Information

The problem asks for when the population will be of 350 students.

More can be learned about exponential functions at https://brainly.com/question/25537936

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What is 3/4. Of 44 in the amazing mathematics

Answers

Answer:

3/4 of 44 is 33

Step-by-step explanation:

33

Answer:

33

Step-by-step explanation:

Solve the parallelogram for x MARKINF people as brainlist

Answers

Answer:

in the question there must be the area of the parallelogram given...

Which set of ordered pairs represents a linear relationship?
A {(0, 1), (2, 2), (-2, 0), (4,3)}
B. {(0, -2), (1, 1), (-1,-3), (2, 3)}
C. {(0, -1), (1, 1), (-1,-2), (2,3)}
D. {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)}​

Answers

Answer:

A

Step-by-step explanation:

Help needed with this as soon as possible

Answers

Answer:

3

Step-by-step explanation:

it passes the vertical line test

hope this helps have a good day!

It is 3 just like the first guy said


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

(5, 38) (6, 39)

(39 - 38)/(6 - 5) = 1/1= 1

y - 38 = x - 5

y = x + 33

Solve the answer for n
4/5 = n/3

Answers

Answer:

2.4

Step-by-step explanation:

4/5 = n/3

Cross multiple

4*3 = n *5

12= 5n

12/5 = 5n/5

n= 2.4

Marco is building with bricks. He needs 560 bricks total to build a wall, but only has 445. The price per 5 bricks is $25. How much money does Marco need for a total of 115 bricks?

Answers

2,875 bricks because you just going to multiply how many bricks you have by how much they are each for example (115*25)

Answer:

575$

Step-by-step explanation:

If each 5 bricks is 25$  and Marco already has 445 all he needs is 115 more bricks and 115 divided by 5 is 23 so 23 groups of 5 bricks and 23*25 is 575$

I hope this was helpful!!

he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 16001600 voters in the town and found that 344% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 311%. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer:

2.60

Step-by-step explanation:

Given that:

n = 1600

[tex]\hat p = 0.34[/tex]

[tex]P_o = 0.31[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}[/tex]

[tex]Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}[/tex]

[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}[/tex]

[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}[/tex]

[tex]Z = 2.60[/tex]

Help meeee pleaseeeeeeee I need to pass my homework

Answers

First, you replace c and d. You would end up with[tex]\frac{1}{4}[/tex] (6) + 3(7).

Then, you evaulate it. You end up with [tex]1\frac{1}{2}[/tex] + 21.

Lastly, you add them together. The final answer is [tex]22\frac{1}{2}[/tex].

Hi there!

Simplifly c and d:

c=6, d=7

Multiply terms by terms:

[tex]\frac{1}{4}[/tex]·[tex]6=1\frac{2}{4}[/tex]

[tex]3[/tex]·[tex]7=21[/tex]

Add all terms together:

[tex]1\frac{2}{4}+21=22\frac{2}{4}[/tex]

Simplifly terms:

[tex]22\frac{2}{4}=22\frac{1}{2}[/tex]

Final Result: [tex]22\frac{1}{2}[/tex]


SOMEONE PLS HELP ME

Answers

Answer:

4

Step-by-step explanation:

hope this helps

Answer:

The slope is 2

Step-by-step explanation:

its 6/3 and if you simplify that its 2

if root x+9=root 784, the value of x​

Answers

Answer:

on squaring complete term

x + 81 = 784

x = 784 - 81

x = 703

Step-by-step explanation:

C. Find the value of x below:
15.r + 5
-2 + 16.

Answers

Answer:

7

Step-by-step explanation:

(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.

Measures of corresponding angles are equal.

Therefore,

- 2 + 16x = 15x + 5

16x - 15x = 5 + 2

x = 7

Given that sin(t) = 0.8 and cos(t) < 0, find the values of the other 5 trigonometric functions.

Answers

Answer:

dhsuaehcusjr ushebdhzsjr

A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.

The cost per pound of the apples on sale is $__.
You can buy ___
pounds of apples for $168.00.
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ___
apples for $168.00.

Answers

Answer:

34

Step-by-step explanation:

168÷5=8

Divided The Cost By The Pounds

what's the correct answer please
A mite measures 0.00091 of a meter long. Which of the following correctly represents this in Scientific Notation?
9.1x10^4
9.1x10^-4
9.1x10^3
9.1x10^-3

Answers

Answer:

9.1x- 10000

9.1 x 10^-4

Step-by-step explanation:

b

!! IMPORTANT !! WILL GIVE BRAINLIEST !!

Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard.
(figure of the problem is shown in attached picture)
The dimensions of the original piece of cardboard are _ inches by _ inches.

!! PLEASE HELP !! THANKS !!​

Answers

Answer:

25 in by 45 in.

Step-by-step explanation:

The length of the box will be x + 20 - 10 - 10 = x

The width of the box will be x - 10 - 10 = x - 20

The height of the box will be 10

So the volume = length x width x height

                        = x(x - 20)10 = 1250

                        =   [tex]10x^{2} - 200x = 1250[/tex]

                         [tex]10x^{2} -200x - 1250 = 0[/tex]

                           [tex]10(x^{2} -20x - 125)\\[/tex] = 0

                          10(x + 5)(x - 25) =0

                                 x = -5      x = 25

- 5 must be discarded since a length cannot be negative.  

Therefore x = 25 in = width of piece of cardboard

            x + 20 = 25 + 20 = 45 in = length of piece of cardboard

PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST

what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD ​

Answers

Answer:

Please read down below, thanks

Step-by-step explanation:

Vertical angles are always equal.

Because the two expression we have are equal, we can make the equation:

4x + 2 = 5x - 13

Let's move x to one side and the constants to the other side.

Subtract both sides by 4x and add both sides by 13

15 = x

Now we know x = 15, we can solve for the angles.

∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees

∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees

∠DBE is the same as ∠ABC so: 47 degrees

∠ABD is also the same as ∠CBE so: 133 degrees

Faucet A can fill up a water cooler in 8 minutes. Faucet B can fill the same water cooler in 12 minutes. How long will it take both faucets together to fill the water cooler?
!!!!!Explanation Needed!!!!!

Answers

Answer:

A cold water tap takes 3 minutes to fill the bath. A hot water tap takes 2 minutes to fill the bath. How long does it take to fill the bath when both taps are open at the same time?

It is easiest just to let the bath be a given size.

My little bath will be 12 litres

cold water  4L/min          hot water = 6L/min      

together 10L/1 min

10*(12/10) L per  1*(12/10) minutes

12L per 1.2min

12L per 1min and 12sec

It will take 1 minute and 12 seconds to fill the bath.

Step-by-step explanation:

Answer:

It will take 5 minutes for both faucets together to fill the water cooler

Step-by-step explanation:

I'm kinda just guessing but I do have a reasonable explanation

So the average time it takes for the faucets INDIVIDUALLY to fill the water cooler is 10 minutes

But since both faucets are filling them TOGETHER, it should take half the time

And half of 10 is 5

So it should take 5 minutes for both faucets together to fill the water cooler

If that makes sense

Find the value of x.
m2 = x + 85
2
73°

Answers

Answer:

-12

Step-by-step explanation:

in an iscocles, the base angles equal eachother so,

73=x+85

x=-12

The answer is -12 x=-12

A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.

Find the value of the F-test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.

Car A Car B Car C Car D
Driver 1 23 39 22 25
Driver 2 37 39 28 39
Driver 3 39 40 21 25
Driver 4 34 36 27 33
Driver 5 27 35 26 37

Required:
Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use alpha = 0.01.

a. We reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
b. We fail to reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
c. We fail to reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
d. We reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.

Answers

Answer:

We reject the null hypothesis at the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models  ( A )

Step-by-step explanation:

Using the Given data we will apply the two way ANOVA without

source of variation            SS             df        MS        F

Block                                  148.80       4        37.20    1.68

Treatment                         424.40       3        141.47     6.39

Error                                  265.60       12       22.13

Total                                  838.80       19

From the Two way ANOVA table the F-statistic = 6.39

I need help with this question

Answers

Answer:

j-10=35

j is 45

Step-by-step explanation:

35+10=45

Berapakah volume bangun di atas?​
Pake cara yya !

Answers

Answer:

Volume of the figure = 64 cm³

Step-by-step explanation:

Volume of the given figure = Volume of complete cuboid - volume of the cuboid having one face as ABCD

Volume of complete cuboid = Length × Width × Height

                                               = 10 × 2 × 6

                                               = 120 cm³

Volume of the part having one face as ABCD = AB × BF × BC

                                                                            = 7 × 2 × (6 - 2)

                                                                            = 56 cm³

Volume of the given figure in the picture = 120 - 56

                                                                    = 64 cm³

Therefore, volume of the figure = 64 cm³

solve the equation 8 + b = 26 and b=

Answers

b=26-8
so the answer is b=18
B is equal to 18 hope this is correct

The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters

Answers

Answer: 1= A/w

Step-by-step explanation:

In ΔPQR, the measure of ∠R=90°, RQ = 55, PR = 48, and QP = 73. What ratio represents the sine of ∠Q?

Answers

Answer:

48/73

Step-by-step explanation:

If it takes 1/2 hour to walk 2/7 of a field, how long will it take to walk the whole field

Answers

Answer:

1 hr 45 min

Step-by-step explanation:

so to get one from 2/7 me multiply by 7/2

so if we also multiply the time by 7/2

we get 1/2*7/2=7/4 hour

1 and 3/4 hour or

1 hr 45 min

Answer:

1hour 45 minutes

Step-by-step explanation:

2\7= 30min

7\7=7\7×30÷2\7=7\7×30×7\2=105mins

1h=60min

   =105min

105÷60=1 1\4 hour

A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?​

Answers

Answer:

a.b=12 ise öncelikle çarpılarak 12 eden sayıları bulmalıyız;

4.3=12

6.2=12

12.1=12

şimdi toplamları en fazla ve en az olan çarpımları bulmalıyız toplamları en fazla olan çarpım;

12.1 den 12+1=13 tür

toplamları en az olan çarpım ise;

4.3 den 4+3=7 dir

What is -8x-9-5+9 plz help

Answers

Answer:

-8x - 5

Step-by-step explanation:

-8x - 9 - 5 + 9 = -8x - 5

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?​

Answers

Answer:

121

Step-by-step explanation:

Find out the amount of units Ismail have more than Johan.

11 - 7 = 4 units

Since Ismail has 44 more sweets than Johan and 4 more units..

4 units = 44

1 units = 44 ÷ 4 = 11

Altogether, there's 11 units.

11 units = 11 x 11 = 121

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evaluate xy-y when x = 2 and y = 5 For X-ray, compensation filters are often used to make the intensity uniform across the image. You are responsible for selecting a compensation filter (also called a spatial filter) for abdominal X-ray imaging. Considering the setup shown in the following fire, which of the four filters would you choose? X-ray source A B filter body cross-section detector a photon is absorbed by a hydrogen atom in the ground state. if the electron is boosted from to the n = 6 , what was the energy of the absorbed photon? give your answer in electron volts (ev). FILLIN THE BLANK when a squirrel-cage motor is first started, the value of the current draw is _____. Capstone Solutions Company, a computer consulting firm, has decided to write off the $45,800 balance of an account owed by a customer, Philadelphia Inc.a. Journalize the entry to record the write-off, assuming that the direct write-off method is used. If an amount box does not require an entry, leave it blank. according to the information in the passage, hsp110 is most likely which type of protein? a. which theorist had a strong influence on henry murrays theorizing about personality? adler b.sigmund freud jung allport the golden rule of output determination for a perfectly competitive firm is .. fill the blank class _______ fire extinguishers are used on fires involving energized electrical equipment. A grocery store is located at (5, 4) on a coordinate plane. Shawn says it is located in Quadrant IV. Wren says it is located in Quadrant III. Who is correct? Explain why.Select the answers from the drop-down list to correctly complete the sentence. 4. A table lamp is made of a cone whose base is mounted on the top of a cylinder as shown. The diameter of the cylinder is 40 centimeters and its height is 10 centimeters. The cone has a slant height of 30 centimeters. What is 30 cm the total surface area of the lamp? The following data are accumulated by Dillon Company in evaluating the purchase of $39,600 of equipment, having a four year useful life.Net Income Net Cash FlowYear 1 $4100 $14,000Year 2 $8,100 $18,000Year 3 $7,100 $17,000Year 4 $2,100 $12,000Present Value of $1 at Compound InterestYear 6% 10% 12% 15% 20%1 0.943 0.909 0.893 0.870 0.8332 0.890 0.826 0.797 0.756 0.6943 0.840 0.751 0.712 0.658 0.5794 0.792 0.683 0.636 0.572 0.4825 0.747 0.621 0.567 0.497 0.4026 0.705 0.564 0.507 0.432 0.3357 0.665 0.513 0.452 0.376 0.2798 0.627 0.467 0.404 0.327 0.2339 0.592 0.424 0.361 0.284 0.19410 0.558 0.386 0.322 0.247 0.162a. assuming that the desired rate of return is 15%, determine the net present value for the proposal. (If required, round to the nearest dollar). Use the table of the present value of %1 presented above.Present Value of net cash flow?Less amount to be invested?Net present value?b. Would management be likely to look with favor on the proposal? how can you refine your content distribution strategy? Do Charlotte's calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning _____ The individual generally responsible for the direct-material price variance is the:A. sales manager.B. production supervisor.C. purchasing manager.D. finance manager.E. head of the human resources department. research on aggression in toddlers and young children suggests that this group resorts to aggression to resolve conflicts ____. TRUE OR FALSE although gene therapy is still experimental, there is great hope that this technique can correct defective genes. What keystroke creates a new blank line immediately below the current one, when typed in Vi's command mode?ZZio:wq1yy Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the initial values and rates of change with the lines of best fit on the scatter plots.The initial value is 15, andthe rate of change is 5.The initial value is 20, andthe rate of change is 4.The initial value is 20, andthe rate of change is -4.The initial value is 20, andthe rate of change is -5.The initial value is 15, andthe rate of change is -3. all unit movement of materials propelled and controlled by gravity are referred to as