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3 years ago

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What is 43.29 rounded to the nearest tenth

1 answer:

alexandr402 [8]3 years ago

3 0

The correct answer is 43.3.

Explanation:

When rounding a number, we first find the digit in the place value we're rounding to. In this problem, we are rounding to the tenths place; the digit in the tenths place is 2.

The next thing we do is look at the digit to the right of the place value we're rounding to. If this digit is 5 or more, we round our place value up; if it is 4 or less, we leave our place value alone. The number to the right of the 2 is 9; since this is in the "5 or more" category, we round the 2 up to 3.

The last step is to drop the digits to the right of our place value. This gives us our final answer of 43.3.

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2 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

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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.

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3 years ago