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3 years ago

21 is greater than or equal to 3(a-7) +9

1 answer:

4 0

21≥3(a-7) +9
first, just solve it like a normal equation
Distribute
21≥3a-21+9
Combine numbers
21≥3a-12
Solve like equation
33≥3a
11≥a
"a" has to be less than or equal to 11 for the inequality to be true

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Write an equation of the line that passes through (2, -3) and is perpendicular to the line y=-2x-3

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Answer:

$y=\frac{1}{2} (x-2)-3$ or $y=\frac{1}{2} x-4$

Step-by-step explanation:

The perpendicular slope is the opposite-reciprocal of the original slope:

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Write the equation in point-slope form ( $y=a(x-h)+k$ ):

$y=\frac{1}{2} (x-2)-3$

Convert to slope-intercept form if needed:

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3 years ago

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Step-by-step explanation:

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3 years ago

Simplify the following exponential expression. Show your work step by step and list the Properties of Exponents used to solve th

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3 years ago

If P(A) = 0.3 and P(B) = 0.6 what is P(A or B) if the two events are independent?

Katena32 [7]

Answer:

P(A or B) is 0.72

Step-by-step explanation:

Given : P(A) = 0.3 and P(B) = 0.6

To Find:P(A or B) = P(A∪B)

Solution :

We are given that A and B are two independent events

Property : If A and B are independent events then $P(A \cap B) = P(A) \times P(B)$

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

$P(A \cap B) =0.3 \times 0.6$

$P(A \cap B) =0.18$

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

$P(A \cup B)=0.3+0.6-0.18$

$P(A \cup B)=0.72$

Hence P(A or B) is 0.72

6 0

3 years ago