Answer: 48s+12p-18 this is the correct answer i just took the test
Answer:
The random variables in this situation are the stock prices A and M.
The mean of Apple's stock prices is greater than the mean of Microsoft's stock prices.
The standard deviation of the price of Microsoft shares is smaller than that of Apple's share prices.
Step-by-step explanation:
The random variables in this situation are the stock prices A and M.
According to the text, it is stated that the values of Apple shares are usually higher than those of Microsoft shares. This implies that, since they are random variables, the mean of Apple's stock prices is greater than the mean of Microsoft's stock prices.
In stock prices, the standard deviation is a measure of the risk or stability of a share price. It is a measure of the price variation around its average value. The more stable the value of an action, the smaller the value of the standard deviation.
Then, according to the text, we can affirm that, since Microsoft's prices are more stable, the standard deviation of the price of Microsoft shares must be less than that of Apple's share prices.
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Answer:
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
Step-by-step explanation:
Given in the question a piece of cardboard having dimensions 32 by 40
Suppose we cut square of length x
When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths
<h3>Step 1</h3>
Formula for the volume of box
v = height * length * width
v = x (32-2x) (40-2x)
v = 4x³ - 144x² + 1280x
<h3>Step 2</h3>
Find derivative and equal it to 0
dv/dx = 4(3)x² - (2)144x + 1280
0 = 12x² - 288x + 1280
x1 = 18.110
x2 =5.88
<h3>Step 3</h3>
Select x and plug value of x to find dimension
(32-2x) > 0
2x < 32
x < 16
so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
The pathagorean theorom always works
