Conor and Jake's lunch cost 13.00. They left a 15% tip. How much did they leave?

Mathematics

1 answer:

notsponge [240]3 years ago

8 0

1 dollar 95 cents is how much they left

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What is the surface area of the Triangular Prism rounded to the nearest tenth?

Illusion [34]

Answer:

C. 43.6

Step-by-step explanation:

you need to take the area of each shape

lets do the skinny triangles first on the top and bottom of this shape.

so to find the formula of triangle we need to do 0.5 * 1.26 * 5.3

because the formula of a triangle is half the base times height.

so we get 0.5 * 1.26 * 5.3 = 3.339

multiply it by two and we get 6.678

now lets find the area of the huge rectangle on the back/behind of the shape

3.3*5.3 = 17.49

now lets find the area of the two smaller rectangles

3.3 * 3.6 = 11.88

2.3 * 3.3 = 7.59

now lets add

6.678 + 17.49 + 11.88 + 7.59 = 43.638

round it to 43.6

8 0

2 years ago

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Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o

AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that $\mu = 490, \sigma = \sqrt{400} = 20$