Answer:Yes that is correct, 3(2t + d) is equal to 6t+3d. This is due to the distributive property of multiplication, or as I like to call it, the DPM. The DPM works for all multiplication and praentheses problems. For example, 7(2t+3d)=14t+21d. You multiply the coefficient of the whole parentheses by each number/variable in the equation. Another example is 5(n+s)=5n+5s.

6 0

3 years ago

A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or an 8? Round to nea

Viktor [21]

Answer: 0.476

Step-by-step explanation:

Let A = Event of choosing an even number ball.

B = Event of choosing an 8 .

Given, A lottery game has balls numbered 1 through 21.

Sample space: S= {1,2,3,4,5,6,7,8,...., 21}

n(S) = 21

Then, A= {2,4,6,8, 10,...(20)}

i.e. n(A)= 10

B= {8}

n(B) = 1

A∪B = {2,4,6,8, 10,...(20)} = A

n(A∪B)=10

Now, the probability of selecting an even numbered ball or an 8 is

$P(A\cup B)=\dfrac{n(A\cup B)}{n(S)}$

$=\dfrac{10}{21}\approx0.476$

Hence, the required probability =0.476

7 0

2 years ago

The Gonzalez family is taking a cruise that costs e,082.24 for a family of four. How much does it cost per person?

ohaa [14]

That would be 082.24 / 4 = e, 20.56

7 0

2 years ago

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