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vaieri [72.5K]
3 years ago
13

It is computed that when a basketball player shoots a free​ throw, the odds in favor of his making it are 2020 to 99. Find the p

robability that when this basketball player shoots a free​ throw, he misses it. Out of every 100 free throws he​ attempts, on the average how many should he​ make?
Mathematics
2 answers:
dolphi86 [110]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that when a basketball player shoots a free​ throw, the odds in favor of his making it are 2020 to 99.

Prob that he shoots a free throw = \frac{99}{2020+99} =0.04672

a) Probability that when this basketball player shoots a free​ throw, he misses it=1-0.04672 = 0.95328

b) When no of throws = 100 average of throws he makes is

Since x no of throws he makes has two outcomes and each trial is independent , X is binomial with n =100 and p = 0.04672

Expected value of throws = np = 4.672

ohaa [14]3 years ago
3 0

Answer:

a. 4.672

b.  0.95328

Step-by-step explanation:

It is computed that when a basketball player shoots a free​ throw, the odds in favor of his making it are 2020 to 99. Find the probability that when this basketball player shoots a free​ throw, he misses it. Out of every 100 free throws he​ attempts, on the average how many should he​ make?

Probability is the likelihood of an event to occur or not. Probability that an event will occur or not is usually less than 1

when the player shoots a free​ throw, the odds on his side is 2020 to 99.

P(A), probability of shooting a throw = 99/(2020+99)

P(A)=0.04672

a) Probability that when he shoots a free throw, he misses it will be

P(B)=(1-P(A))=1-0.04672 = 0.95328

b) if the number of throws are 100 average of throws he makes is

the no of throws, n=100

probability of having a free throw=0.04672

Expected value of throws = np = 4.672

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Keith_Richards [23]

Answer:

Production has increased 20/day

Step-by-step explanation:

In the first scenario production is 500/day and productivity 25 set/hour. After the changes, production is 600/day and 25 set/hour.

So productivity remains the same, nevertheless, as there are more productive hours per day, production raises, in this case the can be calculated as (New Production-Old Production)/Old Production=(600-500)/500=100/500=0.2=20%.

As productivity remains the same, you do not ge more sets/shift, as shifts are shorter (8 instead of hours, so you get 200/shift instead of 250/shift). The rest of the option is false as productivity remains constant

6 0
4 years ago
Sixty percent of the people who attend movie theaters are under the age of 30. given that 1,200 people under the age of 30 atten
Tomtit [17]
X= # of people who attended the movie

Numerator= # of people under 30
Denominator= total # of people

60/100 = 1200/x
Then we cross multiply
60x = 120000
x = 2,000

Final answer= 2,000 people attended the theater
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3 years ago
<,>,=. Which one is more bigger 0.2 or 1/5
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Answer:

0.2 = 1/5

Step-by-step explanation:

Convert 0.2 into a fraction.

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Now simplify that number by dividing both the numerator and the denominator by 2.

You get 1/5.

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Estimate to the nearest 0.5 unit and classify the extrema for the graph of each function.
VLD [36.1K]

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

Finding the extreme point :

f'(x)=3x^2+2x-1=0\\\\3x^2+3x-x-1=0\\\\3x(x+1)-1(x+1)=0\\\\(3x-1)(x+1)=0\\\\x=\dfrac{1}{3}\ ,\ x=-1

Now,

f''( x ) at x = 1/3 and -1 is :

f''(x)=6x+2\\\\f''(1/3)=4  \\\\f''(-1)=-4

Therefore, it is maximum at x = -1 and minimum at x = 1/3 .

Hence, this is the required solution.

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3 years ago
For each equation, determine whether it has no solutions, exactly one solution, or is true for all values of x (and has infinite
nignag [31]

Answer:

  • Equation 1 has exactly one solution.
  • Equation 2 has infinitely many solutions.
  • Equation 3 has no solution.

Step-by-step explanation:

We are given three equations to solve. First, let's solve the equations for x.

<u>Equation 1</u>

<u />\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}<u />

Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.

\displaystyle{6(-5)+8=7(-5)+13}\\\\-30 + 8 = -35 + 13\\\\-22 = -22 \ \checkmark

Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.

6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}

Therefore, for Equation 1, there is exactly one solution.

<u>Equation 2</u>

<u />6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark<u />

We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check <u>any value</u> in place of x to see if we get a true statement. For this instance, I will use -3.

6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark

We still get a true statement, so Equation 2 has infinitely many solutions.

<u>Equation 3</u>

<u />6 x + 8 = 6 x + 13\\\\0 + 8 = 13\\\\8 \neq 13<u />

We get a false statement. Therefore, Equation 3 has no solution.

3 0
3 years ago
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