题目列表

If $(\frac{1}{2})^{24}+(\frac{1}{81})^{k}=\frac{1}{18^{24}}$,then k =
If$8^c·\sqrt{8}=\frac{8^{a}}{8^{b}}$, then a =
Which of the following equations is true for all positive values of x and y?
x and y are positive integers such that x < y. If$6\sqrt{6}=x\sqrt{y}$ , then xy could equal
If k is an integer and $121 < k^{2} < 225$, then k can have at most how many values?
If a and b are integers and $(\sqrt{a}·\sqrt{b})^{6}=500$, then a + b could equal
If $\sqrt{17+\sqrt{264}}$ can be written in the form $\sqrt{a}+\sqrt{b}$, where a and b are integers and b < a, then a - b =
If x and y are positive odd integers, then which of the following must also be an odd integer?

I.$x^{y+1}$

II. x(y+1)

III.$(y+1)^{x-1} + 1$
When a coin is flipped, the probability of getting heads is 0.5, and the probability of getting tails is 0.5

A coin is flipped 5 times

Quantity A

Probability of getting exactly 2 heads

Quantity B

Probability of getting exactly 3 heads

The probability that event A will occur is 0.5

The probability that event B will occur is 0.4

The probability that event A or B will occur is 0.8

Quantity A

Probability that A and B both occur

Quantity B

0.1

Events A and B are independent.

The probability that events A and B both occur is 0.6

Quantity A

The probability that event A occurs

Quantity B

0.3

A box contains 10 pairs of shoes (20 shoes in total). If two shoes are selected at random, what is the probability that they are matching shoes?
A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ball?
Set A: {1, 3, 4, 6, 9, 12, 15}

If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
A: {71,73,79,83,87} B:{57,59,61,67}

If one number is selected at random from set A, and one number is selected at random from set B, what is the probability that both numbers are prime?
Each circle has center O. The radius of the smaller circle is 2 and the radius of the larger circle is 6. If a point is selected at random from the larger circular region, what is the probability that the point will lie in the shaded region? The probability is 0.6 that an "unfair" coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that?at least?one of the tosses will turn up tails?
When a certain coin is flipped, the probability of heads is 0.5. If the coin is flipped 6 times, what is the probability that there are exactly 3 heads?
If points A and B are randomly placed on the circumference of a circle with radius 2, what is the probability that the length of chord AB is greater than 2?

Quantity A

Average (arithmetic mean) of integers from -50 to -1 inclusive.

Quantity B

Average (arithmetic mean) of integers from -50 to 0 inclusive.

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