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kykrilka [37]
3 years ago
12

Theo purchased an are rug for his dorm room. The dimensions of the rug are 8 feet by 9 feet. What is the area of Theo's rug?

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:  

72 feet

Step-by-step explanation:

8 feet by 9 feet well first you have to notice that the word by means to multiply so you have to multiply 8x9

so

8x9=72feet of the area

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Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f
GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws 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.

He has a 3/4 probability of success.

This means that p = \frac{3}{4} = 0.75

Giannis shoots three free throws

This means that n = 3

What is the probability that he succeeds on at least two of them

P(X \geq 2) = P(X = 2) + P(X = 3)

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

P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219

P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438

84.38% probability that he succeeds on at least two of them

6 0
3 years ago
A bag of flour weighed 2.25 kilograms 0.725 kilograms are used in a recipe how many kilograms of flour are left
Mrac [35]
Hello!

You subtract the amount of flour you started with by the amount you used

2.250 - 0.725 = 1.525

The answer is 1.525 kilograms

Hope this helps!
8 0
3 years ago
Read 2 more answers
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your d
Trava [24]

Answer:

Following are the solution to this question:

Step-by-step explanation:

For this set, the correlation coefficient is = -0.015.

It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.

It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.

4 0
2 years ago
You want to put $8,000 in a simple interest account. It has a 2% annual interest rate. How long must you invest that money to ea
Nutka1998 [239]

Answer:

2.5 years

Step-by-step explanation:

Interest= P×R×T÷100

T= 100I÷P×R

T= 100×400÷8000×2

T= 40000÷16000

T= 5÷2

T= 2.5 years

5 0
3 years ago
You make $11.29 per hour and worked 26 hours last week. They took out 5.2% for
sashaice [31]
Your answer would be 56
5 0
2 years ago
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