A flywheel is attached to a crankshaft by 12 bolts, numbered 1 through 12. Each bolt is checked to determine whether it is torqued correctly. Let A be the event that all the bolts are torqued correctly, let B be the event that the #3 bolt is not torqued correctly, let C be the event that exactly one bolt is not torqued correctly, and let D be the event that bolts #5 and #8 are torqued correctly. State whether each of the following pairs of events is mutually exclusive.a. A and Bb. B and Dc. C and Dd. B and C

Answers

Answer 1

Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time


Related Questions

Tim read 70% of his book containing 230 pages how many pages does he have left

Answers

Hello!

Considering the whole book as 100%, there’s 30% left.

Then, 30% of 230 = 0,3*230 = 69 pages.

Hope you’re all right! Stay safe!

69 Pages are left to read by Tim.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total pages= 230

Percentage of reading = 70%

So, number of Pages Tim reads

= 70 /100 x 230

= 161 pages

Hence, number of pages left = 230- 161 = 69 pages

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Answer the following question. What is 6x-7-12x+3?

Answers

Answer:

-6x-4

Step-by-step explanation:

Combine 6x and −12x to get −6x.

−6x−7+3

Add −7 and 3 to get −4.

−6x−4

Answer:

-6x-4

Step-by-step explanation:

6x-12x

-6x

-7+3

-4

-6x-4

Determina la ecuación de recta de una recta en su forma estándar, tal que contiene al
punto(3,-4) y es paralela a la recta que pasa por (0,2) & (3,1).​

Answers

Big the answer would be that it’s tab dfg fog hb is a day or a long day of a week or so before I can join the summer or just like me or I wanna is the day you can come over tomorrow or tomorrow I just got done and I’ll give you the money I have

Solve the equation 7 minus 2X equals 19

Answers

Answer: x=-6

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Put it in an equation,

7-2x=19

Solve for x

Subtract 9 on both sides

-2x=12

Divide -2 on both sides

x=-6

Katie deposited $1,000 in the bank for 7years. She earned a simple interest rate of 2.5%. How much interest did she earn? Round your answer to the nearest cent.

Answers

Answer:

$188.69

Step-by-step explanation:

1000 x 1.07^7 = $1188.69

1188.69-1000 = $188.69

Answer:

i will say $188.69

Step-by-step explanation:

hope i helped u and hope to get a Brainliest

byee :)

NEED HELP GIVING 20 POINTS

Answers

Answer:

-5

Step-by-step explanation:

Just substitute the values and use a calculator to solve.

Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill.

Which graph shows Janice's position as she roller skates away from her house?

A. Z
B. X
C. W
D. Y​

Answers

Answer:

It's Z.

Step-by-step explanation:

Because the road is straight at first, then it gets steep.

which means that the road goes down,

kinda like a drop off.

Answer:

Y moving quicker, then moving slower rate

Suppose the dimensions of your dining room are 12 feet by 14 feet. You purchase a rectangular table that is 7 feet by 9 feet. After you put the table in the dining room, how much space is left in the dining room (in square feet)?

Answers

7 x 9 = 63

12 x 14 = 274

add them together and you gey the total space left

At Supply World, 4 pens cost $10.00. How much do 3 pens cost if the price per pen is the same

Answers

If you divide 4 by 10 you get 2.5. Multiple by 3 and the answer would be 5.5-
Hope this helps

Answer: $7.50

Step 1: Divide.

10 ÷ 4 = 2.50

Step 2: Multiply.

2.50 × 3 = 7.50

The answer is 7.50

-5(x+2)+3x= Which expression can be written in the box on the other side of the equation

Answers

Answer:

O-2(x+5)

Step-by-step explanation:

I have to much time on my hands

Answer:

-2x-10

Step-by-step explanation:

-5(x+2)+3x=

Distribute

-5x-10 +3x

Combine like terms

-2x-10

What does the grid represent

Answers

Answer:

0.030

Step-by-step explanation:

I don't really know how to explain this one, sorry.

Hope this helps! (✿◕‿◕✿)

[tex]\tt Step-by-step~explanation:[/tex]

We have to find out what the shaded regions represent. We can count up ten rectangles in total, and three of them are shaded. We take the amount of shaded rectangles over the total amount to get [tex]\tt \frac{3}{10}[/tex] as a fraction, and 0.3 as a decimal.

[tex]\tt First~option:[/tex]

The first choice is 0.300. The zeroes at the end of the number do not mean anything, so we can simplify it to 0.3. 0.3 is equal to 0.3, so this is not the answer.

[tex]\tt Second~ option:[/tex]

The second choice is 0.30. Again, we can simplify it to 0.3. We can see that it is equivalent to 0.3, so this is not the answer, either.

[tex]\tt Third~option:[/tex]

Our third choice is 0.3. 0.3 = 0.3, so this is not our answer either.

[tex]\tt Fourth ~option:[/tex]

Our final choice is 0.030. Take out the last zero to get 0.03. 0.03 is equal to [tex]\tt \frac{3}{100}[/tex], so this is our answer, since it is not 0.3.

[tex]\large\boxed{\tt Our ~final~answer:~Last~option:~0.030}[/tex]

Simplify (x^2/7)^3/4

Answers

Answer:

(x^2)^(3/4)/7^(3/4)

Step-by-step explanation:

67 times a number minus 65 is equal to -4 less than the number

Answers

Answer:

Translation is 67x-65=x-4, you can use any variable for the number.

Step-by-step explanation:

The circumference of a circular region is shown. What type of number best describes the diameter of the
circle. Complete the explanation.
л mi
"
numbers best describes the situation.
TI
The diameter is = = 1 mile, so the set of integer
TI
real
irrational
integer
whole

Answers

Yes is would the diameter of -1 mile east of the integer

Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.

Answers

About a million and two maybe 3

Round 3528003 to the nearest million

Answers

Answer:

it would be rounded to about 4028003

Step-by-step explanation:

Answer:

4,000,000

Step-by-step explanation:

10 times the quotient of 6 and 3

Answers

Answer:

20

Step-by-step explanation:

because first you do 6/3 because thats what quotient means which equals to 2 and then you do 10*2 which gives you 20

If f(x) = 22 – 4x – 5, find the following:
a. f(-2)
b. f (10)
.c. f(0)

Answers

Answer:

a.25

b.-23

c.17

Step-by-step explanation:

Plug each value in for x and solve

Calculate the product 78.93 x 32.45

Answers

Answer:

The answer is 2 561,2785 !!!

The required value is 2,556.2785 which is determined by the multiplication operation.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The numbers are given in the question, as follows:

78.93 and 32.45

To calculate the product of 78.93 and 32.45, you can use the standard multiplication algorithm.

78.93 x 32.45

Apply the multiplication operation, and we get

2,556.2785

Thus, the required value is 2,556.2785.

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Question 5 (1 point)
A rectangle has a length of x + 7 and a width of x - 2. Write an
equation that describes the area, A, of the rectangle in terms of
Ob
A = 2x + 5
A = x2
+ 9x - 14
A = 2x + 9
ос
Od
A=x²+.
= x + 5x – 14

Answers

Answer:

A = x^2 + 5x - 14

Step-by-step explanation:

A = L × W

A = (x+7) × (x-2)

A = x^2 + 7x - 2x - 14

Please help quick
Divide polynomials using long division
(13q–91)÷(q–7)

Answers

Answer:

13

Step-by-step explanation:

q-7 can go into 13q-91 thirteen times.

Set up the long division sign with the q-7 on the outside and the 13q-91 inside.

Then, notice that to get to 13, you multiply the q and 7 by 13. This gets both terms to 13q and 91, which cancel out the numbers inside the long division sign.

2 ton of rocks cost $2,920.00. What is the price per pound?

Answers

Answer:

$0.73 per pound

Step-by-step explanation:

2920 divided by 4000 (2 tons is 4000 pounds) equals 0.73

Identify the binomial

Answers

Step-by-step explanation:

where are the numbers?

The gift box is 10 cm x 12 cm x 3 cm what is the volume of the box

Answers

Answer:

volume  = L*B*H

Step-by-step explanation:

SO,

Volume of the box = L*B*H

OR, Volume of the box = 10*12*3

thus, Volume of the box =360

Circle YES or NO The terms -5x and 5x are like terms.

Answers

Answer:

YES

Step-by-step explanation:

Answer:

yes!

Step-by-step explanation:

x are still the same term whether they are negative or not! Good Luck!

Solve for a. 3(a+3)+6=30

Answers

Answer:

a = 5

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties: Distributive, etc.

Step-by-step explanation:

Step 1: Write equation

3(a + 3) + 6 = 30

Step 2: Solve for a

Distribute 3:                                  3a + 9 + 6 = 30Combine like terms:                     3a + 15 = 30Subtract 15 on both sides:           3a = 15Divide 3 on both sides:                a = 5

Step 3: Check

Plug in a to verify it's a solution.

Substitute:                                   3(5 + 3) + 6 = 30Add:                                             3(8) + 6 = 30Multiply:                                       24 + 6 = 30Add:                                             30 = 30

10.2 is 21.25% of what number?​

Answers

Answer: 48

Step-by-step explanation: Using proportions

48 is the number whose 21.5 percent is 10.2 .

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

How to convert a percentage into a number?

Divide the given percentage by hundred to convert it into a number.

Let x be a number whose 21.5% is 10.2.

Therefore,

[tex]\frac{21.25}{100} (x) = 10.2[/tex]

⇒ [tex]21.25x = 10.2(100)[/tex]

⇒[tex]21.25x = 1020[/tex]

⇒[tex]x = \frac{1020}{21.25}[/tex]

⇒[tex]x = 48[/tex]

Hence, 48 is the number whose 21.5 percent is 10.2.

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Find the value of x in each case:

Answers

Answer:

KLP=54, LPM=18, PMN=108

Step-by-step explanation:

x+3x+2x+72=180

6x=108

x=18

3x=54

x=18

2x+72=108

a(x+y)-a(x-y) simplified .

Answers

Answer:

2ay

Step-by-step explanation:

a(x+y)-a(x-y)

Distribute

ax +ay - ax + ay

Combine like terms

2ay

Answer:   2ay

Work Shown:

a(x+y)-a(x-y)

ax+ay-ax+ay

(ax-ax)+(ay+ay)

(0ax)+(2ay)

0+2ay

2ay

True statement about parallelogram

Answers

All four sides are congruent.

Answer:

a parallelogram is a simple non-self-intersecting quadrilateral with two pairs of parallel sides.

Step-by-step explanation:

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