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3 years ago

If A and B are independent events, then it must be true that P(BIA) = P(A).

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

Answer:

B. False

Step-by-step explanation:

For independent events, it must be true that ...

P(B|A) = P(B)

The probability of B does not depend on A. That is what makes them independent.

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An online furniture store sells chairs for $200 each and tables for $600 each. Every

Vladimir79 [104]

Answer:

Step-by-step explanation:

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32 .......1

200 C + 600 T = 12000 .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T = 5600

∴ T =

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴ C =

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴ T =

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

8 0

3 years ago

Bob paid 17.50 for a box of cards and .35 each for 18 stamps. What was the total cost in dollars and cents of the box of cards a

alexgriva [62]

$23.80 for a box of cards and 18 stamps

8 0

2 years ago

Mila graphs the point A

melamori03 [73]

Answers:
B. <span>The x-coordinate of point A is 5.
</span>E. <span>Point A is on the x-axis.
</span>
Explanation:
Any point drawn on the coordinates has the general notation of (x,y).
The given point is (5,0). This means that:
The x-coordinate of the point is 5
The y-coordinate of the point is 0

Now, let's check the place of this point.
The x-coordinate of the point is 5. This means that we will move 5 points to the right of the origin on the x-axis
The y-coordinate of the point is 0. This means that we will not move along the y-axis which means that the point stays on the x-axis.

Now, comparing the deduced results with the given choices, we will find that the correct choices are B and E

Hope this helps :)

6 0

2 years ago

Evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8

Eduardwww [97]

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

5 0

2 years ago

Scott started his banking account with $150 and is spending $7 per day on lunch what would the x axis be labeled

Mariulka [41]

X: number of days
y: money available

8 0

3 years ago