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Schach [20]
3 years ago
9

Giannis will retire at the age of 65 and after 32 years of service.

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

Step-by-step explanation:

It would be 33 years

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4. Assume that the chances of a basketball player hitting a 3-pointer shot is 0.4 and the probability of hitting a free-throw is
vovikov84 [41]

Answer:

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

Step-by-step explanation:

For each 3-pointer shot, there are only two possible outcomes. Either the player makes it, or the player does not. The same is valid for free throws. This means that both the number of 3-pointers and free throws made are given by binomial distributions.

Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.

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.

Probability of making 3 3-pointers out of 10:

The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that p = 0.4. So this is P(X = 3) when n = 10.

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

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.21499

Probability of making 5 free throws out of 10:

The probability of hitting a free-throw is 0.65, which means that p = 0.65. The probability is P(X = 5) when n = 10.

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

P(X = 3) = C_{10,5}.(0.65)^{5}.(0.35)^{5} = 0.15357

Calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.

0.21499*0.15537 = 0.0334

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

5 0
3 years ago
Please please give answer
rodikova [14]

Answer:

Then the total area is  116 cm^2 which agrees with answer D

Step-by-step explanation:

Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)

The Area of a rectangle is the product: base x height

In our case :

Area of Big rectangle = 12 cm x 7 cm = 84 cm^2

Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2

Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2

8 0
3 years ago
Find the slope of the line graphed below.<br><br> will give brainiest
Setler79 [48]

Answer:

3/-2 or -1.5

Step-by-step explanation:

remember to find slope using a graph the equation is rise over run so it goes up 3 and the decreases or moves towards the left 2

5 0
3 years ago
Your class is raising money for a charity. Which graph could show the amount of
otez555 [7]
The far right would be the correct answer.
6 0
2 years ago
Find the 87th term of this sequence: 157, 150, 143, ...
nirvana33 [79]

Answer:

<h3>                 \bold{a_{87}=-445}</h3>

Step-by-step explanation:

a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445

7 0
3 years ago
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