Let f(x) = −4x + 7 and g(x) = 10x − 6. Find f(g(x)).

Find the area and the circumference of a circle with diameter 8 cm. Use the value 3.14 for π , and do not round your answers. Be

Illusion [34]

Answer:

Area= 50.24 squared cm.

Circumference= 25.12 cm.

Step-by-step explanation:

To find the area of a circle- A= 3.14*(4 cm squared). ( The 4 cm is your radius. Half of the diameter.) After you square your radius you get 16cm squared. You then go onto multiply the 16 cm squared by 3.14 to get 50.24 cm squared.

To find the circumference of a circle- C= 2*(3.14)*(4cm). (Again the 4cm is your radius. Half of the diameter.) After you multiply the 2 and 3.14 you get 6.28. You then multiply the 6.28 by 4 cm to get 25.12 cm.

7 0

3 years ago

What's the gcf of 15 and 4

garri49 [273]

Gcf of 15 and 4 is 1

5 0

2 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

PLEASE HELP I REALLY NEED HELP ON THIS

jeka94

Answer:

One piece of fabric: 10 x 6, or 60.

If one triangle is 15, she can cut 4 triangles from each piece of fabric.

If she has 24 pieces of fabric, she can cut 4 x 24, or 96 triangle patches.

Let me know if this helps!

4 0

2 years ago

During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was

butalik [34]

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

$2*2=4$