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Alchen [17]
3 years ago
15

A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total di

stance traveled by the ball?
Mathematics
1 answer:
vladimir1956 [14]2 years ago
8 0

Answer:

<h3>20feet</h3>

Step-by-step explanation:

Initial height of the ball = 8feet

If it bounces 60% of its previous height, its new height will be;

60% of 8

= 60/100 * 8

= 480/100

= 4.8 ft

If it bounces 60% of its current distance, new height will be expressed as;

60% of 4.8

= 0.6 * 4.8

= 2.88

The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...

In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;

S∞ = a/1-r where;

a is the first term = 8

r is the common ratio

r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r =  0.6

Substitute into the formula;

S∞ = a/1-r

S∞ = 8/1-0.6

S∞ = 8/0.4

S∞ = 20feet

Hence the total distance traveled by the ball is 20feet

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10^2 = 100

1,000,000 / 100 = 10,000

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3 years ago
Simplify (3x2-5x-6) - (5x2+4x+4)
Lisa [10]

Answer:

=−2x^2−9x−10

Step-by-step explanation:

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2 years ago
6. Let f(x)=x-2 and g(x) = x^2. Find the value of (fog)(-1).<br> A. -1<br> B.9<br> C.3<br> D.-3
inna [77]

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

f(x) = x - 2

g(x) = x²

In order to find (fog)(-1) we must first find (fog)(x)

To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with

g (x).

That's

(fog)(x) = x² - 2

To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)

We have

(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1

Hope this helps you

8 0
2 years ago
Forty-four percent of customers who visit a department store make a purchase. What is the probability that in a random sample of
Charra [1.4K]

Answer:

A. .1070

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent from other customers. 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.

Forty-four percent of customers who visit a department store make a purchase.

This means that p = 0.44

What is the probability that in a random sample of 9 customers who will visit this department store, exactly 6 will make a purchase?

This is P(X = 6) when n = 9. So

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

P(X = 6) = C_{9,6}.(0.44)^{6}.(0.56)^{3} = 0.1070

So the correct answer is:

A. .1070

8 0
3 years ago
Read 2 more answers
Help plz math !!!!!
kramer

Answer:

Perimeter of the windows is P = 4s, or (here) P = 4(x+9) ft.

Step-by-step explanation:

If the area of the square is x^2 + 18x + 81 (ft^2), then the length of one side is given by the square root of that, and is x + 9 (ft). Note that (x + 9)^2 = x^2 + 18x + 81.

The perimeter of a square window of side length s is P = 4s.

Here, the perimeter of the square is P = 4(x+9) (ft).

3 0
2 years ago
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