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2 years ago

Which of the following rational numbers is equivalent to a repeating decimal? a. 24/60 b. 30/64 c. 29/50 d. 35/60

Mathematics

1 answer:

andrey2020 [161]2 years ago

6 0

Answer:

answer is D. 35/60

Step-by-step explanation:

35 divided by 60 is = 0.583333

which is a repeating decimal

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if £500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Hoochie [10]

Answer:

£562.43

Step-by-step explanation:

£500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Given data

P= £500

t= 3 years

r= 4%

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 500(1+0.04)^3

A= 500(1.04)^3

A= 500*1.124864

A= 562.432

Hence the final amount is £562.43

4 0

3 years ago

The ratio of women to men stationed at Ft. Bragg is 25 to 50. If there are 250 women at Ft. Bragg, how many people are there tot

WARRIOR [948]

Answer:

750 total people

Step-by-step explanation:

25 to 50 = 1/2

So: 250 x 2 = 500 men

500 + 250 = 750 total

7 0

3 years ago

Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0

3 years ago

In a particular year, a total 44,064 of students studied in two of the most popular host countries when traveling abroad. If 83

zaharov [31]

Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

6 0

3 years ago

The ratio of clownfish to angelfish at a pet store is 5:4 the ratio of angelfish to goldfish is 4:3 there are 60 clownfish at th

Softa [21]

So if there are 60 clownfish and the ratio from clownfish to angelfish is 5:4, this is the equation you are looking at:
5:4 = 60:?
To find ? you have to do 60 divided by 5 which equals 12 and multiply it times 4 to see how many angelfish there will be if there are 60 clownfish.
12 x 4 = 48
So if there are 60 clownfish there will be 48 angelfish. The ratio is 60:48

For the next one, same thing if there are 48 angelfish, then you are looking at this equation:
4:3 = 48:?
Again, we solve like we did the last one.
48 divided by 4= 12
3 x 12= 36
So, if there are 48 angelfish there will be 36 goldfish. The ratio is 48:36
I hope this helps:)

8 0

3 years ago