A new car's original price is $13,999. If it's on sale for 10% off, what's the new price?

1 answer:

8 0

To find new price after discount we are going to find 10% of $13,999.00, then subtract the discount amount from $13,999.00.

13,999.00 × ¹⁰/₁₀₀ = $1,399.90

13,999.00 - 1,399.90 = $12,599.10

Therefore, new price = $12,599.10

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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

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:

$\mu = 14$