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1) It is required to list all the numbers available when two cards are drawn one after the other and the second card is placed at the right of the first card drawn.

To do this, find the sample space of the draw which are:

$25,26,28,52,56,58,62,65,68,82,85,86$

Hence, the required numbers.

2) Recall that probability is the ratio:

$Probability=\frac{\text{ number of favorable outcomes}}{\text{ total number of possible outcomes}}$

From the numbers listed, notice that the total number of possible outcomes is 12.

Since event A is "obtained number is even", notice that the number of even numbers in the listed numbers is 9 (26,28,52,56,58,62,68,82,86).

Hence, the number of favorable outcomes is 9.

Substituting into the probability ratio gives the required probability:

$P(A)=\frac{9}{12}=\frac{3}{4}$

Check the number of numbers that are a multiple of 5, notice that they are 3 (25,65,85).

Hence, the required probability of event B is:

$P(B)=\frac{3}{12}=\frac{1}{4}$

The number of multiple of 3 in the listed numbers is 0 since there is no number that is a multiple of 3.

Hence, the required probability of event C is:

$P(C)=\frac{0}{12}=0$

Answers:

1) {25,26,28,52,56,58,62,65,68,82,85,86}

2) P(A) = 3/4

P(B) = 1/4

P(C)= 0

7 0

1 year ago

Answer Please! I hate khan academy lol

Zanzabum

Answer:

C; None of the above.

Step-by-step explanation:

Pretend x=1, y=0, and z=2.

You have to match an answer to 1+0-2 (equals to -1).

The first equation would be 2+0+1. When you add them all together you get 3, and that isn't equivalent to -1, so therefore this one is not the answer.

The second equation becomes 1+2+0, and when you solve for the answer, you see that the answer is also 3, and so we can conclude that neither A or B matches with the equation above, so the answer is C, None of the above.

6 0

3 years ago

Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge

dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

$f(x)=ax^2+bx+c.$