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3 years ago

Evaluate each expression. 6! = 3!. 21 = 11

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

8 0

Answer:

here we work with factorials, so if we have a whole number N, then:

N! = N*(N-1)*.....*2*1

then, for the given expressions we have:

1) 6! = 6*5*4*3*2*1 = 720.

2) 3!*21 = (3*2*1)*21 = 216

3) and the last expression seems incomplete, i guess this is:

11! = 11*10*9*8*7*6*5*4*3*2*1 = 39,916,800

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Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

Online By Mail Total

Male 12 8 20

Female 24 6 30

Total 36 14 50

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

$\frac{6}{50}$ P(Pays bill by mail/Customer is female) = $\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}$

Now, Probability that customer is female = $\frac{30}{50}$

Also, Probability that customer pays bill by mail and is female = $\frac{6}{50}$

So, Required probability = $\frac{\frac{6}{50} }{\frac{30}{50} }$

= $\frac{6}{50}\times \frac{50}{30}$

= $\frac{1}{5}$ = 0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.

6 0

3 years ago

Determine the explicit formula in the sequence 11, 14, 19, 26, 35

slamgirl [31]

Answer:

Pattern is you add odd numbers, as in 1, 3, 5, 7, 9, etc.

Step-by-step explanation:

11 + 3 = 14

14 + 5 = 19

19 + 7 = 26

26 + 9 = 35

hope this helps

3 0

3 years ago

The quotient of a number 2 is 7

aleksley [76]

Answer:14

Step-by-step explanation:

8 0

3 years ago

Three times the sum of a number and 4 is the same as 18 more than the number

11Alexandr11 [23.1K]

First, figure out what you do and don't know....
You do know that 3 times the sum of a number and 4 is 18 more than the number....you don't know the number so you make it the variable x
now take 3 times the sum of a number and 4 and make that an expression 3x+4 this expression is the same or equal to the sum of x and 18 x+18
3x+4=x+18
2x+4=18
2x=14
x=7
hope this helped :)

5 0

3 years ago

AB=45. If RT=3(x+9), what is the value of x?

Margaret [11]

6 because 45 divides by 3 equals 15 and fifteen minus 9 equals 6, if you plug 6 into the equation it makes sense

7 0

3 years ago

Read 2 more answers