Solve for x. Give your answer in simplest radical form

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

Use the Pythagorean Theorem to find the length of the side marked "x."
x^2 + (10 mi)^2 = (13 mi)^2. Thus, x^2 + 100 mi^2 = 169 mi^2.
Next, x^2= (169-100) mi^2, or x^2 = 69 mi^2. Find the positive square root of both sides of this equation. What is it?

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The selling price of an item is $600. It is marked down by 10%, but this sale price is still marked up

Lena [83]

Step-by-step explanation:

Sale price

= Marked down by 10% from selling price

= 90% of selling price

= 0.9 * $600

= $540.

Sale price - Cost price

= $540 - $450 = $90.

The markup from cost to sale is $90.

6 0

3 years ago

The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute

kirza4 [7]

Answer:

$P(X$

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(412,68)$