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Diano4ka-milaya [45]
2 years ago
6

The probability that Maria succeeds at any given free-throw is 75%. She was curious how many free-throws she can expect to succe

ed in a sample of 10 free-throws. She simulated 25 samples of 10 free-throws where each free-throw had a 0.75 probability of being a success. Maria counted how many free-throws were successes in each simulated sample. Here are her results:​
Mathematics
1 answer:
Illusion [34]2 years ago
4 0

Answer:

5: 0 successes

6: 5 successes

7: 8 successes

8: 6 successes

9: 6 successes

10: 1 success

We need to use her results to estimate the probability that she succeeds at fewer than 7 free-throws in a sample of 10 free-throws.

First, find out how many successes were less than 7 (out of 25), which is 5.

now, we divide 5 by 25 (5/25, formula being number/total attempts) and simplify into a decimal, which comes out to 0.2

Probability w/ Venn Diagrams

Step-by-step explanation:

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Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

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She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

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Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

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Factor the expression completely over the complex numbers.
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Answer:

The factor form of given expression is (x-4)(x-2i)(x+2i).

Step-by-step explanation:

The given expression is

x^3-4x^2+4x-16

It can be written as

f(x)=x^3-4x^2+4x-16

According to the rational root theorem, all possible rational roots are in the form of

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f(4)=4^3-4(4)^2+4(4)-16=0

Since the value of f(x) is 0 at x=4, therefore 4 is a root of the function and (x-4) is a factor of given expression.

Use synthetic method to find the remaining factors.

(x^3-4x^2+4x-16)=(x-4)(x^2+4)

(x^3-4x^2+4x-16)=(x-4)(x^2-(2i)^2)

(x^3-4x^2+4x-16)=(x-4)(x-2i)(x+2i)

Therefore the factor form of given expression is (x-4)(x-2i)(x+2i).

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