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2 years ago

Tina says that 6:8 is equivalent to 36:64 . what did tina do wrong!

2 answers:

8 0

She simplified it wrong because you're only supposed to simplify it with the same numbers. For example: simplify 2/4. You divide it by 2/2. You do the same and it will be correct.

photoshop1234 [79]2 years ago

8 0

Answer:

Explanation shown below

Step-by-step explanation:

For 6:8 to be equal to another fraction, Tina needed to MULTIPLY both top and bottom by the same number, NOT RAISE TO A POWER.

Multiplying by any number (both numerator & denominator) would make the other ratio equivalent.

Taking "Square" or "raising to same power"  WILL NOT make the new ratio equivalent.

Tina "raised 6 to 2nd power to get 36" and "raised 8 to 2nd power to get 64". According to the rules, the new ratio won't be equal.

Instead of raising to 2nd power, she could multiply by 2 (both numerator and denominator) to get 12:16. This ratio would have been equal to 6:8.

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netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

In this problem, we have that:

$\mu = 12, \sigma = 3$

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

$Z = \frac{16 - 12}{3}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0

2 years ago

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