1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harlamova29_29 [7]
3 years ago
14

Find the equivalent expression 5^6

Mathematics
1 answer:
Naily [24]3 years ago
6 0
5^12/5^6 Is the correct response. When equal numbers with different exponents are divided then the you must subtract the exponents. 
Thus 12-6 = 6. 
You might be interested in
The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen
aev [14]

Answer:

a) 0.1720

b) 0.8298

c) 19

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.85

(a) If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12.

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{12,9}.(0.85)^{9}.(0.15)^{3} = 0.1720

(b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 16) = C_{20,16}.(0.85)^{16}.(0.15)^{4} = 0.1821

P(X = 17) = C_{20,17}.(0.85)^{17}.(0.15)^{3} = 0.2428

P(X = 18) = C_{20,18}.(0.85)^{18}.(0.15)^{2} = 0.2293

P(X = 19) = C_{20,19}.(0.85)^{19}.(0.15)^{1} = 0.1368

P(X = 20) = C_{20,20}.(0.85)^{20}.(0.15)^{0} = 0.0388

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1821 + 0.2428 + 0.2293 + 0.1368 + 0.0388 = 0.8298

(c) If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.85 = 18.7

The nearest integer to 18.7 is 19.

7 0
3 years ago
2. Simplify the expression x^2+x-28/x^2-7x+12
tankabanditka [31]
The answer is   x^4-6x^3+12x^2-28/x^2


5 0
3 years ago
Please help solve this​
Oksi-84 [34.3K]
The answer is [3]. :))
8 0
3 years ago
Read 2 more answers
What is 3x + 2 (x-y) ?
AfilCa [17]

Answer:

5x-2y

Step-by-step explanation: u multiply

3 0
3 years ago
Read 2 more answers
Jason is planning on retiring after 25 years of employment. For the last three years he
Flauer [41]

Jason's monthly pension is the product of the final three-year average salary is $32,625. Then the correct option is C.

<h3>What is a monthly pension?</h3>

Jason is planning on retiring after 25 years of employment.

For the last three years he has made $60,000; $56,000; and $58,000.

His employer offers a defined benefit plan in which the annual pension is calculated as the product of the final three-year average salary, the number of years of service, and a 2.25% multiplier.

Then Jason's monthly pension will be

\rm Monthly \ pension  = \dfrac{(60,000+56,000+58,000)}{12}  \times 2.25\\\\Monthly \ pension = 14500 \times 2.25\\\\Monthly \ pension = \$ \ 32,625

More about the monthly pension link is given below.

brainly.com/question/14271336

#SPJ1

5 0
2 years ago
Other questions:
  • Which is a nonrigid transformation of f(x)?
    12·1 answer
  • Can y'all pleas help me with this
    12·2 answers
  • Graph the system of equations -3x + y = -2
    15·1 answer
  • Calculate the area of a circle with radius of 3.5 (1dp) please help
    7·1 answer
  • Which of the following is the solution to the inequality below -6(4-x)&lt;-4(x+1)
    11·1 answer
  • Raffey is upgrading his cell phone and monthly service plan check sell offers a new phone for $50 and unlimited service for a mo
    13·1 answer
  • Help fast big bonus if get right due soon !!
    6·2 answers
  • What is hypotenuse of triangle​
    10·1 answer
  • Will give brainlest <br><br><br> thank you so much
    13·1 answer
  • F(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!