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Bezzdna [24]
3 years ago
10

HURRY!!!!!!! Which symbol replaces ? to make the statement true? 16÷4+12 ? 4+24÷2 A.< B.= C.>

Mathematics
2 answers:
satela [25.4K]3 years ago
3 0
16 / 4 + 12 ___ 4 + 24/2
4 + 12 ___ 4 + 12
16 __ 16

u need an equal sign because 16 = 16
allochka39001 [22]3 years ago
3 0
16/4 + 12 = 4 + 24/2 would be the symbol to make the statement true because when we solve the equation, we see since both sides are equal, there are infinitely many answers since if we solve both expressions individually, they both have the same answer, which makes them EQUAL.

For the first one, 4 + 12 = 16 and 16/16 = 1 and for the second one, 24/2 = 12, and 12 + 4 = 16, so since both equal 16, they cancel each other out.

Answer: B)
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Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

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11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
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ICE Princess25 [194]

Answer:

The roots of the polynomial are;

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Step-by-step explanation:

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To complete the square, we simply divide the coefficient of x by 2 and square it

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