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iragen [17]
3 years ago
15

The circumference of a circle measures 11.27 Pi what is the measure of the diameter of this circle ​

Mathematics
1 answer:
V125BC [204]3 years ago
4 0
Ans. 11.27

Here is how it goes:

Circumference= Pi(diameter)

C=Pi(d)

11.27 Pi= Pi(d)
-divide by Pi-

11.27= d

The answer should be 11.27
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Ten hunters are waiting for ducks to fly by. When a flock of ducks flies overhead, the hunters fire at the same time, but each c
Lerok [7]

Answer:

The expected number of ducks that escape unhurt is:

5

Step-by-step explanation:

First the process is binomial process. Having said this, we have 10 hunters, and 10 ducks flying overhead while the hunter take their shot at the same time.

By expected value, we mean average or mean. And the mean of a binomial distribution is:

Mean => E(x) = np.

We must also know that there is only two probability possibilities:

1. The hunter hits the duck (p)

2. The hunter misses the duck (1-p) = q.

Hence;

p = 1/2, and (1-p) = 1/2.

Therefore;

E(x) = np; where n is the total number of hunter.

E(x) = 10*(1/2) = 5

The expected number of ducks that escape unhurt is 5

3 0
4 years ago
April wants to use 30% of her land for planting trees. How many acres, to the nearest tenth, does she want to use to
Vera_Pavlovna [14]

Answer:

28.5 acres

Step-by-step explanation:

95 acres total

30% is being used for trees

95 acres * .3 = 28.5 acres

5 0
3 years ago
An arc of length 8in. is intersected by a central angle in a circle with a radius of 3 in. what is the measure of the angle? rou
Airida [17]

Answer:

C.

Step-by-step explanation:

2.7 radians

6 0
3 years ago
I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody ex
ra1l [238]

Using exponential functions, it is found that:

a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying <em>exponential function</em> is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem:

  • Caffeine metabolize at a rate of 13% per hour, hence r = 0.13.

Then:

A(t) = A(0)(1 - r)^t

A(t) = A(0)(1 - 0.13)^t

A(t) = A(0)(0.87)^t

Item a:

The coffee cup contains 150 milligrams of caffeine, hence A(0) = 150.

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

A(t) = A(0)(0.87)^t

A(8) = 150(0.87)^8

A(8) = 49.2

Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering <u>A(11) = 50</u>, hence:

50 = A(0)(0.87)^{11}

A(0) = \frac{50}{(0.87)^{11}}

A(0) = 231

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at brainly.com/question/25537936

3 0
2 years ago
Take the numbers to their prime factorization. Write the final answer in exponential form. (SHOW YOUR WORK)
emmainna [20.7K]

1. 2² times 7¹

2. 2² times 3²

3. 29 is a prime number already

4. 2¹ times 5¹ times 7¹

5. 5¹ times 11¹

6. 3⁴

7. 2³ times 3¹ times 7¹

8. 3² times 11¹

9. 3¹ times 5²

10. 2⁶

4 0
3 years ago
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