How to solve D - 8/5 = -4

Mathematics

1 answer:

melomori [17]3 years ago

3 0

Answer:

A= 5/7b +8

Step-by-step explanation:

The basic idea is that you can do anything you want (except divide by

zero) to either side of the equation, so long as you do the same thing

to the other side, too.

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The equation A = x(x-4) describes the area, A, of a rectangular flower garden, where x is the width in feet.

BabaBlast [244]

Answer:

The flower garden width would be 6 ft

Step-by-step explanation:

A = 12 ft^2 = x(x + 4) becomes:

x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0

Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16

Taking the square root of both sides yields x + 2 = ±4.

In this context only a positive x value makes sense: x = 2 + 4 => x = 6.

The flower garden width would be 6 ft. The other dimension would be 6 - 4, or 2, ft.

4 0

3 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$