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The probability that Event A occurs is 0.63, while the probability that Event B occurs is 0.58. What is the greatest probability that Event A and B both occurs?
Give your answer as a decimal.
The probability that Event A occurs is 0.7, The probability that Event B occurs is 0.4. Which of the following could be the probability that Event A and B both occurs?
Indicate all such probabilities.
If password TUKK is re-arranged, what is the probability that the password is re-arranged into the exact same as before?
Give your answer as a fraction.
0 < a < b < 1

c and d are positive integers such that c < d

Quantity A

$$a^{c-d}$$

Quantity B

$$b^{d-c}$$


In 1998, how many of the imported towels were not imported from China?
If the average (arithmetic mean) number of towels imported from China per month was the same for the last 3 months of 2000 as it was for the first 9 months of 2000, approximately how many million dozen towels were imported from China during the 12 months of 2000?
In 1999, the ratio of the number of towels imported from China to the total number of towels imported from countries other than China was closets to which of the following?
33 ≤ k ≤ 35

k is an integer

Quantity A

The number of positive factors of k

Quantity B

4


The units digit of $$7^{34}$$ is x, and the units digit of $$6^{34}$$ is y. What is the value of the product xy?
What is the tens digit of $$2007^{2007}$$?
What`s the remainder when $$3^{73}$$ is divided by 5?

Quantity A

The remainder when ($$123^{4}$$-$$123^{3}$$+$$123^{2}$$-123) is divided by 122

Quantity B

2


If p is an prime number greater than 5,and if 5 is a factor of p+$$p^{2}$$,which of the following might be the remainder when p is divided by 5?

Indicate all such numbers.
n satisfies the following three restraints at the same time.

a) n is a positive integer less than 100

b) the remainder is 2 when n is divided by 6

c) the remainder is 3 when n is divided by 5

Quantity A

The total number of all the possible values of n

Quantity B

4


1575=$$3^{x}$$*$$5^{y}$$*$$7^{z}$$,What`s the value of x+y+z?
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product?

_____hours
Three printers, $$X_1$$, $$X_2$$ and $$X_3$$, work only at their respective constant rates. Working together,$$X_1$$, $$X_2$$ and $$X_3$$ can complete a certain job in 9 hours; working together, $$X_2$$ and $$X_3$$ can complete the same job in 12 hours. Working alone, how many hours will it take $$X_1$$ to complete the job?
Two water faucets are used to fill a certain tank. Running individually at their respective constant rates, these faucets fill the empty tank in 12 minutes and 20 minutes, respectively. If no water leaves the tank, how many minutes will it take for both faucets running simultaneously at their respective rates to fill the empty tank?

Give your answer as a decimal.
When Mark carries a speed tester for feet, he moves 93 feet per minute; when Mark carries a speed tester for hands, he moves 90 feet per minute. In how many seconds will he moves on feet 0.25 feet more than he moves on hands?

_____seconds
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?

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