1 in 4 families now owes money on a

Mathematics

1 answer:

Alecsey [184]3 years ago

4 0

"a rise of a quarter from last year" means the percentage went up by 25%

x = old value

x + 25% of x = x + 0.25x = 1.25x = new value = 0.25 since "1 in 4" means 1/4 = 0.25

So,

1.25x = 0.25

x = 0.25/1.25

x = 0.2

x = 2/10

x = 1/5

Answer: The fraction of families that owed money is 1/5, or 1 in 5.

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Evaluate the expression below when x = 6 and y = 2. 6x2y3

Simora [160]

Answer:

I think that the answer is 432.

Step-by-step explanation:

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We'll have 6*6*2*2*3 which will give us 432. I HOPE THIS HELPS.

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2 years ago

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard

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Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

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

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$