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Len [333]
3 years ago
12

A circle has a radius of 3 cm. How does the circumference of the circle compare to the area? Drag and drop a phrase to correctly

complete the sentence.
Mathematics
1 answer:
Lilit [14]3 years ago
3 0
The circumference is about 3.14 (\pi) times bigger than twice the radius.  Mathematically, this can be writted as C = 2 \pi r, where C equals the circumference and r equals the radius, or C = \pi d where C equals the circumference and d equals the radius.  
You might be interested in
What is the value of x?
Tom [10]

Answer:

x=21

Step-by-step explanation:

100+3x+x-4=180

100+4x-4=180

96+4x=180

4x=180-96

4x=84

x=21

7 0
2 years ago
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
Rosa is putting cube-shaped tissue boxes into a shipping crate. each tissue box has a side length of 4 inches. The volume of V o
Elena L [17]

Answer:

V = 64 and V = 2,048

Step-by-step explanation:

The volume of a cube is found using V = s*s*s. Substitute s = 4.

The volume is V = 4*4*4 = 64.

The volume of the crate is 32 * 64 = 2,048.

3 0
3 years ago
Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 6x + 9 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4
Hitman42 [59]

The answer is D, because the others can be solved. A when factored is equal to -3, when B is factored it is equal to 3,-1, when C is factored it is 1,-4. D can be solved but you will only get irrational numbers which can't be used.

4 0
3 years ago
Read 2 more answers
Please help, will mark brainliest if correct!!!
Hatshy [7]

Answer:8.5

Step-by-step explanation:

Pythagorean Theorem

A

a^2 + b^2 = c^2

3^2 + 8^2 = c^2

9 + 64 = c^2

73 = c^2

C= Sqrt (73)

C = 8.5

6 0
3 years ago
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