Find the area of a rectangle whose vertices are (2,1), (2,11), (9,1), and (9,11).

Mathematics

1 answer:

lys-0071 [83]2 years ago

5 0

The answer that I got when doing the calculations is A=70.

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An item costs $45.60. If there is a 30% discount on the item, what is the discounted cost of the item?

kondor19780726 [428]

Discounted Cost= Cost of Item - (Cost of Item * % Discount)

= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)

= 45.60 - (45.60 * 0.30)
multiply in parentheses

= 45.60 - 13.68

= $31.92 discounted cost

ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).

Hope this helps! :)

6 0

3 years ago

9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of

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:

$\mu = 12, \sigma = 3$