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sweet-ann [11.9K]
3 years ago
12

Damon is shooting 2 free throws. The probability that Damon will make a free throw is 80%.

Mathematics
1 answer:
kati45 [8]3 years ago
5 0
If he makes it 80% of the time that means he makes it .80 of the time (I just made it a decimal)
After 1 shot his probability is .80
After 2 shots his probability is .80X.80 = .64 or 64%

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Yesterday, 20 employees in an office were absent. If these absentees constitute
Oduvanchick [21]
The total number of employees are 80. I know that because 25 is quarter of 100 and if 20 employees are 25%, all I need to do is 20*4 which is 80. Hope this helped!
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3 years ago
Buffalo Bill currently weighs 202 lb. He wants to weigh 180 lbs for his reunion which is 35 days from today. How many pounds per
Nostrana [21]

Answer:

He must lose 4.4 pounds per week.

Step-by-step explanation:

Buffalo Bill currently weighs 202 lb. He wants to weigh 180 lbs for his reunion.

This means that he needs to lose 202 - 180 = 22 lb.

35 days from today.

Each week has 7 days. So this is 35/7 = 5 weeks from now.

How many pounds per week must he lose?

22 pounds in 5 weeks, that is 22/5 = 4.4 pounds per week.

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2 years ago
You have 24 months left until you graduate and you plan on buying yourself a new $20,000 car on graduation day. If you invest $3
shusha [124]

Answer: No, the money won't be enough to buy the car

Step-by-step explanation:

you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.

The principal amount, p = 300

He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for a total of 24 months. This is equivalent to 2 years. So

n = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount that would be compounded at the end of n years.

A = 300(1 + (0.04/4)/4)^4×2

A = 300(1 + 0.01)^8

A = 300(1.01)^8

A = $324.857

The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car

3 0
3 years ago
Given: AB tangent to circle O at B, and secant through point A intersect the circle at points C and D. Find CD, if
azamat

Answer:

6 cm

Step-by-step explanation:

If you use Tangent-secant product (chapter reference), AB/AC = AD/AB so 4/2 = AD/4. AD = 8, CD = AD - AC = 8 - 2 = 6 cm.

3 0
3 years ago
Read 2 more answers
Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.
VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

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= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!

4 0
2 years ago
Read 2 more answers
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