In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With and P(E) = 60 and P(F) =.15, calculate:
A. P(EC).
B. P(EUE).
C. P(EC ∩ FC).

Answers

Answer 1

Answer:

A. P(EC) = 0.4  

B. P(E∪E) = 0.75

C. P(EC ∩ FC) = 0.25

Step-by-step explanation:

Let us calculate -:

we are given with - P(E) = 60 and P(F) =.15,

Thus , (a) [tex]P(E^C)=1-P(E)[/tex]

                   [tex]=1-0.6[/tex]

                   [tex]=0.4[/tex]

(b) P(E∪F) = P(E) + P(F)

   = 0.60 + 0.15

   = 0.75

(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]

   [tex]=1-0.75[/tex]

   = [tex]0.25[/tex]

Hence , the answers are -A. P(EC) = 0.4  , B. P(E∪E) = 0.75  , C. P(EC ∩ FC) = 0.25.


Related Questions

4. What type of line of symmetry does this triangle have? horizontal vertical This triangle has no line of symmetry. diagonal​

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D: Diagonal Line of Symmetry, it goes evenly through the 90 degree angle.

Please help me :( I feel worthless because of math

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Answer:

I think 262 is the right answer.

Step-by-step explanation:

Don't feel worthless because of math! Math is a diffcult to understand subject, and a real pain in the butt.

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PLEASE HELP! I feel horrible and I'm crying so hard right now. This is due.

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Answer:

62

Step-by-step explanation:

surface area of a rectangular prism = 2lw + 2lh + 2wh

Where l = length, w = width and h = height

The box has the following dimensions

length = 5 in

width = 3 in

height 2 in

Using these dimensions, we plug in the values into the formula

[tex]SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62[/tex]

Hence, the surface area = 62

Composite scores on the ACT are normally distributed with a mean of 21 and a standard deviation of 5. find the Z score for a student that gets a 31

Answers

Answer:

[tex]Z = 2[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

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This means that [tex]\mu = 21, \sigma = 5[/tex]

Find the Z score for a student that gets a 31

This is Z when X = 31. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 21}{5}[/tex]

[tex]Z = 2[/tex]

An equation always, sometimes, never has one solution?

Answers

Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.

Step-by-step explanation:

Determine whether the sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative.
A psychologist wants to measure the effect of music on memory. He randomly selects 80 students and measures their scores on a memory test conducted in silence. The next day he measures their scores on a similar test conducted while classical music is playing. The mean score without music is compared to the mean score with music.
A. quantitative, independent.
B. ​quantitative, dependent.
C. ​qualitative, dependent.
D. ​qualitative, independent.

Answers

Answer:

its B i did chapter 11 test yesterday

Step-by-step explanation:

It is B. Quantitative, Dependent

8y - (5y + 13 ) = -7​

Answers

Answer:

y=2

Step-by-step explanation:

8y-5y-13=-7

3y-13=7

3y=-7+13

3y=6 /3

y=2

A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by medical insurance has risen.​ Historically, that percentage has been 31​%. An examination of 8,606 ​recent, randomly selected bills reveals that 32​% of these bills are being paid by medical insurance. Is there evidence of a change in the percent of bills being paid by medical​ insurance

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

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[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]

      [tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]

Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180.
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Answers

Answer:

X=70

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Factorise a^2-b^2 but it has no indecies

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Answer:

(a+b)(a-b)

Step-by-step explanation:

The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.

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Find an estimated regression equation relating weekdy gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals).

Answers

Answer:

Hope this helps

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ

backk from ban!!!!!!!!

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Oookkkkkkkkkkkkkkkkkkkll

Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.

Answers

answer:

step-by-step explanation:
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

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Answers

Answer:

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Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

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a²b² + 2ab (a²+1) +a^2-b^2-1​

Answers

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If so Exponentiation

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this answer

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As for if so Exponentiation

[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]

this answer

a²b²+2a³b+2ab+a²-b

This figure shows an oblique triangle-based pyramid.
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Answers

Answer: 88 cm^3

Step-by-step explanation:

= 1/2 • bh

= 1/2 • 6 • 8

= 24

= 1/3 • 24 • 11

= 88 cm^3

The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.

What is volume?

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,

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Thus, the volume of the pyramid is 88 cm³.

To know more about volume:

brainly.com/question/13807002

#SPJ2

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Answers

Answer:

Below.

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

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We can simply evaluate equation 1 to have

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someone please help!! will reward brainliest!

Answers

Add 7 to both sides seems like the best next step.

If not then add 9.

Tell me if i'm wrong

Answer:

Add 7 to both sides

I think that's the answer

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Answer:

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Step-by-step explanation:

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Answers

To find the area of a triangle you are supposed to use the formula:

1/2 x b x h

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1/2 x 9 x 12

Multiply the newly made equation and you get:

54


Have an awesome day <3

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if it’s a riddle i have no idea. if it’s a math question related to the rules of circles it would be a secant line.
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