What is the simplest form of this expression? 2(y-1) 8

Find f(3). f(x) = x2 + 5x - 9 A) 7 B) 10 C) 9 D) 15

Lelechka [254]

Answer:

f(3) = 15. Correct: D)

Explanation:

Numeric Value of a Function

The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

$f(x)=x^2+5x-9$

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3

$f(3)=3^2+5(3)-9$

$f(3)=9+15-9$

$f(3)=15$

A) Incorrect. f(3) is not 7

B) Incorrect. f(3) is not 10

C) Incorrect. f(3) is not 9

D) Correct. f(3) =15 as found above.

4 0

3 years ago

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

2 years ago

Consider the following sets of sample data: A: $29,400, $30,900, $21,000, $33,200, $21,300, $24,600, $29,500, $22,500, $35,200,

Lana71 [14]

Answer:

CV for A = 21.8%

CV for B = 15.5%

Step-by-step explanation:

The formula for coefficient of variation is:

CV = Standard Deviation / Mean

So,

For A:

Mean = Sum/No. of items

= 391300/14

=$27950

and

SD = $6085.31

CV for A = 6085.31/27950 * 100

=21.77%

Rounding off to one decimal

CV for A = 21.8%

For B:

Mean = Sum/No. of items

= 43.58/11

=3.96

and

SD = 0.615

CV for B = 0.615/3.96 * 100

=15.53%

=15.5% ..

6 0

2 years ago

Find the unit rate.

Sindrei [870]

Answer:

I believe the answer is 162 per season is the unit rate , I am really sorry if I am wrong.

3 0

2 years ago

What is the LCM of 30 and 45? a0

Alik [6]

90 is the LCM of 30 and 45

8 0

2 years ago

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