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Kruka [31]
3 years ago
5

Giving brainliest, 50 points (answer both questions with solutions)

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

<h3>#6</h3>
  • (3x^3)^2*(2x)^3=3^2x^{3*2}*2^3x^3=9*8*x^6x^3=72x^{6+3}=72x^9
<h3>#7</h3>
  • (x^4y^{-7}/x^{-2}y^4)^2=(x^{4+2}y^{-7-4})^2=(x^6y^{-11})^2=x^{12}y^{-22}=x^{12}/y^{22}
Helga [31]3 years ago
5 0

Answer:

your answer in ☝️ this photo

plz Mark my answer in brainlist

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Josh has a job to tile a room 16 ft x 18 ft with 1 ft. square tiles. How many tiles does he need?
Lena [83]

Answer:

288 tiles

Step-by-step explanation:

16×18= 288 so he needs 288 square tiles

7 0
2 years ago
Solve the equation I will give brainly ​
Alika [10]

Answer:

answer: All real numbers, or No solutions

Step-by-step explanation:

okay, the equation says 4(x+4)=(4x+16)

if we apply 4 to the parenthesis we get 4*(x+4)=4x+16

so basically the equation is telling us 4x+16=4x+16, which gives us all real numbers or No solutions as the answer

5 0
3 years ago
Read 2 more answers
Given the function f(x)=2x-1<br> Evaluate: <br>a) 2f(x) <br> b) f(2x)​
Dmitrij [34]

Answer:

a) 2f(x) = 4x - 2

b) f(2x) = 4x - 1

Explanation:

Given function:

  • f(x) = 2x - 1

a) 2f(x)

2f(x) = 2(2x - 1)

       = 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

       = 4x - 1

3 0
1 year ago
A popular resort hotel has 300 rooms and is usually fully booked. About 7% of the time a reservation is canceled before the 6:00
kicyunya [14]

Answer:

8.69% probability that at least 285 rooms will be occupied.

Step-by-step explanation:

For each booked hotel room, there are only two possible outcomes. Either there is a cancelation, or there is not. So we use concepts of the binomial probability distribution to solve this question.

However, we are working with a big sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

A popular resort hotel has 300 rooms and is usually fully booked. This means that n = 300

About 7% of the time a reservation is canceled before the 6:00 p.m. deadline with no pen-alty. What is the probability that at least 285 rooms will be occupied?

Here a success is a reservation not being canceled. There is a 7% probability that a reservation is canceled, and a 100 - 7 = 93% probability that a reservation is not canceled, that is, a room is occupied.  So we use p = 0.93

Approximating the binomial to the normal.

E(X) = np = 300*0.93 = 279

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.93*0.07} = 4.42

The probability that at least 285 rooms will be occupied is 1 subtracted by the pvalue of Z when X = 285. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{285- 279}{4.42}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131.

So there is a 1-0.9131 = 0.0869 = 8.69% probability that at least 285 rooms will be occupied.

8 0
3 years ago
Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?<br><br> I NEED HELP!!
Arturiano [62]

Answer:

15

Step-by-step explanation:

4 0
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