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3 years ago

Given tw circles, circle A with a radius of 3 in. and circle B with a radius of 12 in.

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

1 : 4

Step-by-step explanation:

Circumference of the first one: 3 * 2 * π = 6π.

Circumference of the second one: 12 * 2 * π = 24π

Ratio: 6π:24π

divide both sides by 6π

1: 4

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Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of

aleksandr82 [10.1K]

Answer:

I (interest) = £ 2,080.17

Step-by-step explanation:

Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of interest perrie will get after 3 years.

To solve the above question, we would use the Periodic compound interest formula

A = P(1 + r) ^t

Where P = Principal = £25000

r = Interest rate = 2.7 % = 0.027

t = time in years = 3 years

Hence:

A = £25,000( 1 + 0.027)³

A = £27,080.17

A = P + I where

P (principal) = £ 25,000.00

I (interest) = £27,080.17 - £ 25,000.00

I (interest) = £ 2,080.17

The total amount of interest perrie will get after 3 years is £ 2,080.17

3 0

3 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

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

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

A club with 76 members is planning a camping trip They need to rent cabins and tents for sleeping.

lozanna [386]

The answer is B.4 because you need to divide 76 by 8 which will give you 9.5. Now, you can't have half of a person; so just cut it off. So divide that again by 2 and your answer is B.4 tents.

4 0

3 years ago

Write an expression for the operation described below.<br> c minus b

Rama09 [41]

Answer:

2-3 is an expression. Right?

Step-by-step explanation:If so, that was easy.

5 0

3 years ago

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What is the place value of the digit 4 in the number 834,051?

yuradex [85]