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3 years ago

Find the circumference and area of a circle with radius 3 yd. use the value 3.14 for pie

Mathematics

2 answers:

just olya [345]3 years ago

4 0

Answer: circumference = 2Πr²

Where r= 3

Π=3.14

Therefore Circumference = 2×3.14× 3²

= 2×28.26

Circumference=56.52

Formula:

Subtitute in 3 for r.

Solve and the answer is 28.26

Galina-37 [17]3 years ago

4 0

Answer:

Circumference: 18.84 yards

Formula: 2 $\pi$ r

Plug in 3 for r.

Solve and the answer is 18.84

Area: 28.26 yards squared

Formula: $\pi r^{2}$

Plug in 3 for r.

Solve and the answer is 28.26

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A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. 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.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that $n = 15, p = \frac{1}{5} = 0.2$

What is the probability that he answers at least 10 questions correctly?

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

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

$P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001$

$P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011$

$P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0$

$P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0$

$P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0$

$P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111$

0.0111% probability that he answers at least 10 questions correctly

3 0

3 years ago

On January 24, Bora Co. purchased a delivery van for $22,000. Bora expects to drive the van for approximately 5 years or 100,000

Assoli18 [71]

Answer:

$24,000

Hope this helps

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3 years ago

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If you save $3,000 at an interest rate of

juin [17]

Amount earned in compound interest = P(1 + r)^n; where P is the principal, r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

7 0

2 years ago

Read 2 more answers

3(x – 2) – 2x + 3 = -12

enyata [817]

X = 9 sorry if x isnt what youre looking for

6 0

3 years ago

Can anyone solve this? will 5 star and brainliest. (no links)

choli [55]

Answer:

I think it is 42ft