3 years ago

Which number(s) below belong to the solution set of the equation? Check all

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

6 0

Answer:

Step-by-step explanation:

x + 6 = 45 <em>subtract 6 from both sides</em>

x + 6 - 6 = 45 - 6

x = 39

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In the diagram, parallel lines P and Q are cut by transversal R.

Paraphin [41]

Answer:

x=125

Step-by-step explanation:

7 0

2 years ago

A, B and C are events such that P(A) = 1/3, P(B) = ¼, and P(C) = 1/5. Find P(AUBUC) under each of the following assumptions: a)

marta [7]

(a) If $A,B,C$ are mutually exclusive, then

$P(A\cap B)=P(A\cap C)=P(B\cap C)=P(A\cap B\cap C)=0$

so we have

$P(A\cup B\cup C)=P(A)+P(B)+P(C)=\dfrac{47}{60}$

(b) If $A,B,C$ are mutually independent, then

$P(A\cap B)=P(A)P(B),$

$P(A\cap C)=P(A)P(C),$

$P(B\cap C)=P(B)P(C),$

$P(A\cap B\cap C)=P(A)P(B)P(C)$

so that

$P(A\cup B\cup C)=P(A)+P(B)+P(C)-(P(A\cap B)+P(A\cap B)+P(B\cap C))+P(A\cap B\cap C)$

$P(A\cup B\cup C)=\dfrac{47}{60}-\left(\dfrac1{12}+\dfrac1{15}+\dfrac1{20}\right)+\dfrac1{60}$

$P(A\cup B\cup C)=\dfrac35$

5 0

3 years ago

The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 lite

Sphinxa [80]

75,770 divided by 3.785 is 20000

3 0

2 years ago

Read 2 more answers

Solve and describe the steps used to find x for the equation 2(x + 4) – 10 = 12

Lorico [155]

Well, you want to find the value of x.

3 0

2 years ago

PLEASE HELP AAAAAA

Anna71 [15]

9514 1404 393

Answer:

Negative, because the product (-7)(-2) is positive, and the product (-5)(1) is negative and the product of a positive and a negative number is negative

Step-by-step explanation:

Negative, because there is an odd number of negative factors. The above explanation is reasonable, too.

5 0

2 years ago