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3 years ago

Solve for all values of x for -2|x+9|-6=-24

Mathematics

1 answer:

DerKrebs [107]3 years ago

5 0

-2(x+9)-6=-24
-2x-18-6=-24
2x=0
x=0

2(x+9)-6=-24
2x+18-6=-24
2x=-36
x=-18

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A volume of a cylinder is given by the expression 6n2 – 13n – 28. The area of the base is 3n + 4.

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If the store currently charges a price of $50, then increases that price to $60, what happens to total revenue from shoe sales (

Goryan [66]

Answer:

<h2>Revenue will decrease</h2>

Step-by-step explanation:

Note: the question did not provide the quantity to work with, so we will assume some values, say quantity Q= 30

Generally, it is normal for the revenue to decrease when the price of a commodity increase, this is so that buyer will have to react to adjust to the change in price.

When price increase from $50 to $60, the total revenue will decrease

let say the quantity Q1=30 , and the new quantity after price increase is Q2=20

1. The revenue PxQ before price change will be

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3 years ago

A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,

Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

$n = 38$ --- the number of slots
$red = 18$ . --- the number of red slot
$black = 18$ . --- the number of black slot
$green = 2$ . --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

$p = \frac{18}{38}$

Simplify

$p= \frac{9}{19}$

The probability that the ball does not land on a red slot is calculated as:

$q = \frac{18+2}{38}$

$q = \frac{20}{38}$

Simplify

$q = \frac{10}{19}$

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

$P(R = r) = ^nC_rp^rq^{n-r}$

Where:

$n = 7$

$r = 3$

So, we have:

$P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}$

$P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4$

$P(R = 3) = 0.2854$

Hence, the value of P(R = 3) is 0.2854