Events M and N have probabilities such that P(M) = 0.4, P(N) = 0.28, P(M ∪ N) = 0.56, and P(M ∩ N) = 0.12. Are events M and event N independent?

A.
Yes, because P(M) + P(N) = P(M ∪ N).

B.
No, because P(M) ∙ P(N) ≠ P(M ∩ N).

C.
Yes, because P(M) ∙ P(N) ≠ P(M ∪ N).

D.
No, because P(M) - P(N) = P(M ∩ N).
i need this asap

Answer:

Any number bigger than 2/3

Step-by-step explanation:

btw, I didn't see the options but here's the explanation

When you multiply by a part of a whole, a fraction, you are getting smaller. When you multiply by a number bigger than one, your product gets bigger. So, any number bigger than 2/3 works just fine

Answer:

See the detailed answers below

Step-by-step explanation:

Given data

Ratio=  1:4:7

combined ratio= 1+4+7= 12

Total amount= $636,000

Apply the part to all method

The first person will take

1/12= x/ 636,000

cross multiply

12x= 636,000*1

x= 636,000/12

x= 53000

The second person will take

4/12= x/ 636,000

cross multiply

12x= 636,000*4

x= 2544000/12

x= 212000

The third person will take

7/12= x/ 636,000

cross multiply

12x= 636,000*7

x= 4452000/12

x= 371000

Answer:

A and B

Step-by-step explanation:

Adjacent angles are angles that share a common vertex

More specifically adjacent angles are next to each other.

The two angles that are next to ∠3 are ∠4 and ∠2 therefore the correct answer would be A and B

Answer:

<A = 56degrees

<B = 34degrees

<C = 56degrees

Step-by-step explanation:

From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;

<C + <D = 180

<C + 124 = 180

<C = 180 - 124

<C = 56degrees

Also;

<B + 90 + <C = 180

<B + 90 + 56 = 180

<B  + 146 = 180

<B = 180 - 146

<B = 34degrees

Similarly;

<A + <B = 90

<A + 34 = 90

<A = 90 - 34

<A = 56degrees

Answer:

The volume of the cylinder is324 п cm

The area of the base of the cylinder is 81 п cm

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = 18/2 = 9

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

n x (9^2) x 4 = 324n

Area of the base of the cylinder : Area of a circle = πr² =  π x 9^2 = 81 π

Answer:

12 servings

Step-by-step explanation:

since each serving is 1/2 a cup and if the bag of veggies contains 6 cups, then if you divide 6/0.5 it is 12 servings

Answer:

12 servings in a bag

Step-by-step explanation:

Answer:

a 37

Step-by-step explanation:

cant explain bye hope this helps

Answer:

1) A because of vertical angle theorem (VAT), which means that b=37 degrees

2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees

3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees

4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees

5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees

Answer:

Graphed using Desmos

Step-by-step explanation:

Answer:

Solution is (3,0)

Step-by-step explanation:

Use desmos to draw a identical graph on your given plot. Point of intersection is points that satisfy both equations so (3,0)

Answer:

70

Step-by-step explanation:

half of a circle is 180 degrees

180 - 52 = 128

128 - 58 = 70

To check your answer

70 + 58 = 128

128 + 52 = 180

Answer:

2.5

Step-by-step explanation:

273/280 = 97.5%

2.5% are defective

If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, There is a 2.5% chance of finding a defective headset.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A manufacturer tests a certain number of the headsets that are produced each day.

If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects,

The chance of finding a non-defective headset

= 273/280

= 97.5%

The chance of finding a defective headset

= 100% - 97.5%

= 2.5% are defective

Learn more about the unitary method;

https://brainly.com/question/23423168

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Answer:

379.94

Step-by-step explanation:

3.14 x (11x11) = 379.94

Answer:

4.2 × [tex]10^{-1}[/tex]

Step-by-step explanation:

2.1 × [tex]10^{-3}[/tex] × 2 × [tex]10^{2}[/tex]

2.1 + 2 = 4.2

2 - 3 = - 1

4.2 × [tex]10^{-1}[/tex]

Answer:

2.1x^10+−3x^104

Step-by-step explanation:

Answer:

1.05 * 10⁰

Step-by-step explanation:

Standard form is a way of representing either very large or very small numbers easily.

If a number is to be written in standard form, you have to first write down the number between 1 and 10, then you write × 10(to the power of a number).

Given that the amount of rain that fell near Marie's house is one and five hundredths inches of rain.

Amount of rain = one and five hundredths inches of rain = 1 + 5/100 = 1 + 0.05 = 1.05

Amount of rain in standard form = 1.05 * 10⁰

Answer:

i am on the same one T-T

Step-by-step explanation:

Answer:

-(2y+3)×(3y+5)

Step-by-step explanation:

- 3y(2y + 3) - 5(2y + 3)

Factor out - (2y+3)

-(2y+3)×(3y+5)

Answer:

He was incorrect because...

Step-by-step explanation:

Although there is a CHANCE that a 1 will be rolled. There is also a chance to rolls all 6's, or all 5's for example. The chance that a 1 will be rolled is 1/6, or ~16.67%.

Joe is not correct.

We have a statement said by joe - if you roll a number cube 6 times, one of those rolls will be a 1.

We have to investigate whether joe is right or not?

When you roll a number cube the possible outcomes are - 1, 2, 3, 4, 5, 6.

If we consider statement said by joe - he expressed the certainty of the occurrence of 1. According to him, if you roll a number cube 6 times, then the probability of the Event (say A) - one of those rolls will be 1 is :

P(A) = 1 (the event will 100% occur)

However, when a number cube is rolled 6 times, the total number of possible outcomes = 6 x 6 = 36. The total number of favorable outcomes are = 6.

Therefore, the probability that the event - one of the rolls will be 1 is

[tex]P(A) =\frac{6}{36}= 0.16[/tex]

This means that the probability of occurrence of event is 16%.

Hence, Joe is not correct.

To solve more questions on Probability, visit the link below -

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Answer:

Area Under the Curve Calculator: Multiplying Square Roots Calculator

Volume of A Cylinder Calculator: F Distribution Calculator

Normal Distribution Calculator: Cp Calculator

Density Calculator: Probability Density Function Calculator

Answer:

A dragon maybe?

Step-by-step explanation:

1.   What are the answer choices??

I say a dragon because a dragon comes in different colors and looks big enough to swallow 1000 sheep.

Could you be more specific???

Answer:

2524868254

Step-by-step explanation:

0pork si pana espero haberte ayudado

Answer:

Option 1

Step-by-step explanation:

Effective Interest Rate = [ 1 + ( r / m) ]^ mt -  { 1 }

where i = nominal interest rate , n = number of compounding per time period, t = number of time periods

Option 1 : Interest rate 'i' = 2% , Quarterly compounding 'n' = 4 , t = 25 years  

EAR  = [ 1 + 2% / 4 ]^ (4 x 25) - [ 1 ]  = 0.6466 , ie 64.66%

Option 2 :  Interest rate 'i' = 2% , Monthly compounding 'n' = 12 , t = 25 years  

EAR = [ 1 + 1.5% / 12 ] ^ (12 x 25) - [ 1 ] = 0.4546 , ie 45.46%

As option 1 has higher EAR than option 2, former is better than latter

Answer:

5/24

Step-by-step explanation:

[tex]\frac{5}{6} *\frac{1}{4} =\frac{5*1}{6*4} =\frac{5}{24}[/tex]

Answer:

Step-by-step explanation:

(2+x)(2-x)

2(2-x)+x(2-x)

4-2x+2x-x^2

4-x^2

Answer:

B

Step-by-step explanation:

y+10>12

 -10  -10

y>2 aka B

y is GREATER THAN OR EQUAL TO 2

Answer:

a=82°

Step-by-step explanation:

a+98°=180° since they are supplementary

Answer:

a = 82

Step-by-step explanation:

180 - 98 = a

a = 82

Have a nice day!

Answer:

-(p+1) (p-5)/ P

Step-by-step explanation:

Answer:

the corect answer for this question is

(4,3-)

Answer:

A

Step-by-step explanation:

the line going horizontal(left to right), is the y line

the line going vertically (up and down), is the x line

now that we know where the x and the y lines are at, now we apply it to the format, (x,y)

where the y and x line meet is the origin (0,0), going left or down make the number a negative. up and right make the number positive  

Answer:

1. b 2. c

Step-by-step explanation:

hi need ko ang answer tommorow