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3 years ago

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A quantity a varies directly as a quantity b, if, when b changes, a changes in the same ratio. What happens to the quantity a if

the quantity b doubles in value?

1 answer:

andrew-mc [135]3 years ago

7 0

It becomes B to be completely honest I don't know this stuff lol

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Find the probability a shopper, selected at random, spends less than 96 minutes at the mall. Show your work. The correct probabi

11Alexandr11 [23.1K]

Answer:

The probability a shopper, selected at random, spends less than 96 minutes at the mall is 0.9450

Step-by-step explanation:

Mean = xbar = 88 mins

Standard deviation = σ = 5 mins

To determine the probability the probability a shopper, selected at random, spends less than 96 minutes at the mall, we need to standardize 96 mins, that is, obtain its z-score.

The standardized score is the value minus the mean then divided by the standard deviation.

z = (x - xbar)/σ = (96 - 88)/5 = 1.6

To determine the probability the probability a shopper, selected at random, spends less than 96 minutes at the mall, P(x < 96) = P(z < 1.6)

We'll use data from the normal probability table for these probabilities

P(x < 96) = P(z < 1.6) = 1 - P(z ≥ 1.6) = 1 - P(z ≤ -1.6) = 1 - 0.055 = 0.9450

The probability a shopper, selected at random, spends less than 96 minutes at the mall is 0.9450

6 0

3 years ago

Helpp i cant understand this question

Elina [12.6K]

13x-28=6x+7 because of the circumcenter theorem. You can solve for x
When you find x, you can plug c back into you equation for line segment NE
Knowing what NE is, you also know what ME is because of the circumcenter theorem. When you find ME, you can use the Pythagorean theorem. ME is the hypotenuse, DE is A. Solve for B to find segment MD.
I hope this helps even though I didn’t solve anything. For studying/doing problems you don’t understand, I would recommend thinking about how you would solve the problem first, and then solve the problem. Please give brainliest!

4 0

3 years ago

Solve the equation for y<br> 3x+y=10

Leno4ka [110]

3x+y=10
-3x -3x

y=10-3x

7 0

3 years ago

Expand ( x - 1/x^2)^4

emmainna [20.7K]

Answer:

We want to expand the expression:

$(x - \frac{1}{x^2} )^4$

We can just do it by brute force, this is:

First, rewrite our expression as the product of two square factors:

$(x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2$

Now we can expand each one these two factors:

$(x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}$

That can be simplified to

$x^2 - \frac{2}{x} + \frac{1}{x^4}$

Now we can replace that in our original expression to get:

$(x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})$

Now we can expand that last product, to get:

$(x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2$

We can simplify that to:

$x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}$

That is the expanded expression.

6 0

3 years ago

Is the histogram uniform, symmetric, or skewed?

sergeinik [125]

A histogram is a graphical representation of data. A histogram is uniform when it forms almost a straight, horizontal line. It is symmetric when it forms a bell shape, equal parts to both sides. It is skewed when most of the data falls to the left or right.

8 0

3 years ago