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3 years ago

Which of the following would be equivalent to 11 to the 8th power divided by 11 to the 3rd power?

Mathematics

1 answer:

Nookie1986 [14]3 years ago

5 0

Answer: B.) 11 multiplied by 11 to the power of 4.

Step-by-step explanation:

11 to the 8th power divided by 11 to the 3rd power, or 11^8/11^3, equals 161,051. We are trying to find the option that has the same answer

A. is not the answer as it equals 1

C. is not the answer as it equals 0

and D. is not the answer is it equals 0 as well

The only correct option is B: 11 multipled by 11 to the power of 4, or 11 x 11^4, which equals 161,051

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A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a

Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used 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.

A real estate agent has 12 properties that she shows.

This means that $n = 12$

She feels that there is a 30% chance of selling any one property during a week.

This means that $p = 0.3$

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138$

$P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712$

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

Then

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528$

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0

3 years ago

What is the value of 0.6 + 0.3? Write your answer as a fraction in lowest terms

Allisa [31]

9/10 i the answer i believe

3 0

3 years ago

Which of the following equations can be used to find the length of angle LN in the triangle below?

shtirl [24]

Answer:

Option A. $LN^{2}=33^{2}-11^{2}$

Step-by-step explanation:

we know that

In the right triangle MNL

Applying the Pythagoras Theorem

$MN^{2}=ML^{2} +LN^{2}$

substitute the values

$33^{2}=11^{2} +LN^{2}$

$LN^{2}=33^{2}-11^{2}$

5 0

4 years ago

for a class gardening project 1/3 of mrs gordon's students planted marigolds and 1/2 planted tulips what fraction of the class p

vladimir2022 [97]

Get them to have a common denominator so you can add them
(1/3)×2= 2/6 and (1/2)×3= 3/6
Add them together
(2/6)+ (3/6)= 5/6
So 5/6 of the class planted either marigolds or tulips and 1/6 of the class planted neither

5 0

3 years ago

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Murljashka [212]

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8 0

3 years ago