Sum of a number x and three is twelve

Analyze the table below and answer the question that follows.

lora16 [44]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

P(B∩C)=P(B)*P(C)

we are given

P(B)=0.4

P(C)=0.25

P(B∩C)=0.05

now, we can plug these values into formula

and we get

0.05=0.4*0.25

0.05=0.1

we can see that left side is not equal to right side

so, this is FALSE

(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

P(A)=0.6

P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

0.1=0.15

we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

P(E∩A)=P(E)*P(A)

we are given

P(E)=0.5

P(A)=0.6

P(E∩A)=0.3

now, we can plug these values into formula

and we get

0.3=0.5*0.6

0.3=0.3

we can see that both sides are equal

so, this is TRUE

(d)

We can use independent events formula

P(D∩B)=P(D)*P(B)

we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE

8 0

3 years ago

How Can you represent writing a check for $10 as an integer? A b c or d

Lynna [10]

The answer to represent a check for 10$ is A. -10

6 0

4 years ago

MayaKay and Alyssa work in the returns department for an online company. MayaKay can process 24 returns in 3 hours. Alyssa takes

Ivanshal [37]

Answer:

I think its Alyssa

Step-by-step explanation:

they both can process 8, but it took Mayakay 3 hours to process 24 and it took Alyssa 5 hours to process 40, so even though Alyssa time is longer she processed more

6 0

3 years ago

by the definition of suplementary angles Angle 1+angle 2=______and angle 2+angle 3=_______ than angle 1+ angle 2+ angle 3 by the

SVETLANKA909090 [29]

Answer:

By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle 1 + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = angle 3, or angle 1 ≅ angle 3.

Step-by-step explanation:

The Complete/Correct Question Reads:

By the definition of supplementary angles, angle 1 + angle 2 = _____ and angle 2 + angle 3 = ____ . Then angle 1 + angle 2 = angle 2 + angle 3 ______. Subtract angle 2 from each side. You get angle 1 = ______, or angle 1 ≅ ______.

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By definition we know that if the Sum of Two Angles is Equal to 180° then the angles are Supplementary.

Now looking at the schematic we can see that our Supplementary angle pairs are:

$m$ ∠1 and $m$ ∠2

$m$ ∠3 and $m$ ∠2

So let us start solving.

$m$ ∠1 $+$ $m$ ∠2 $= 180^{o}$

$m$ ∠3 $+$ $m$ ∠2 $=180^{o}$

Then, we have

$m$ ∠1 $+$ $m$ ∠2 = $m$ ∠3 $+$ $m$ ∠2 $=180^{o}$

So subtracting $m$ ∠2 from each side we have:

$m$ ∠1 $+$ $m$ ∠2 $-$ $m$ ∠2 = $m$ ∠3 $+$ $m$ ∠2 $-$ $m$ ∠2

$m$ ∠1 $=$ $m$ ∠3 OR $m$ ∠1 ≅ $m$ ∠3

So your paragraph will be:

By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle 1 + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = angle 3, or angle 1 ≅ angle 3.

7 0

3 years ago

David bought 26 boxes of crayons for $38.48. How much did he pay for each box of crayons?

lisabon 2012 [21]

Answer:

740.48

Step-by-step explanation:

multipky

8 0

3 years ago