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3 years ago

What is the value of the missing exponent in the expression below 523 ÷ 10□ = 52.3

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

523% × 10 = (523/100) × 10 = 52.3

professor190 [17]3 years ago

4 0

The exponent is 1. 10^1 is 10, and 523 divided by 10 is 52.3.

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38 is 8 percent, of what number?

adoni [48]

Answer:

475

Step-by-step explanation:

Is means equals. We need to change 8% to a decimal. 8% = .08. Of means multiply. X is the unknown number.

38 = .08 * x

Divide each side by .08

38/.08 = .08x /.08

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4 years ago

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10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

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Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used 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.

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And p is the probability of X happening.

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$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

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

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$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

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0.2992 = 29.92% probability of obtaining at least 8 failures.

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Harman [31]

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