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olasank [31]
3 years ago
8

A No solution

Mathematics
2 answers:
malfutka [58]3 years ago
8 0
One solution I beleve
Anvisha [2.4K]3 years ago
6 0
I think Itsss B
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<img src="https://tex.z-dn.net/?f=%20%7C7%20%2B%208x%7C%20%20%3E%205" id="TexFormula1" title=" |7 + 8x| &gt; 5" alt=" |7 + 8x|
ExtremeBDS [4]

The absolute value is defined as

|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

So for example, if <em>x</em> = 3, then |<em>x</em>| = |3| = 3, since 3 is positive. On the other hand, if <em>x</em> = -5, then |<em>x</em>| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.

For the inequality |7 + 8<em>x</em>| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.

• If 7 + 8<em>x</em> ≥ 0, then |7 + 8<em>x</em>| = 7 + 8<em>x</em>, so that

|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14

• Otherwise, if 7 + 8<em>x</em> < 0, then |7 + 8<em>x</em>| = -(7 + 8<em>x</em>), so that

|7+8x|>5\implies-(7+8x)>5\implies7+8x

The solution to the inequality is the union of these two intervals.

3 0
3 years ago
You are selling lemonade. You find that if you set the price at $2.00 per cup, you sell 14 cups over the
stira [4]

Step-by-step explanation:

$2.00x-($.10x)=3+x

the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.

I dont know if this is correct but this is how I would make my equation

5 0
3 years ago
Read 2 more answers
In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
ValentinkaMS [17]

Hi !

The Answer is :-

0.409

(<em>P</em><em>l</em><em>e</em><em>a</em><em>s</em><em>e</em><em> </em><em>c</em><em>h</em><em>e</em><em>c</em><em>k</em><em> </em><em>m</em><em>y</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em> </em><em>i</em><em>m</em><em>a</em><em>g</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>it</em><em>)</em>

Have a great day!!

5 0
2 years ago
At a certain coffee shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the n
wolverine [178]

Answer:

(1) The probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2) The shop owner has no reasonable chance to expect earning a profit more than $300.

(3) The probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

Step-by-step explanation:

Let <em>X</em> = number of cups of coffee sold and <em>Y</em> = number of donuts sold.

The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = 320 and <em>σ </em>= 20.

The random variable <em>Y</em> follows a Normal distribution with parameters <em>μ</em> = 150 and <em>σ </em>= 12.

The shop owner opens the shop 6 days a week.

(1)

Compute the probability that the shop owner sells over 2000 cups of coffee in a week as follows:

P(X>2000)=P(\frac{X-\mu}{\sigma}>\frac{2000-(6\times320)}{6\times20})\\=P(Z>0.67)\\=1-P(Z

Thus, the probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2)

The equation representing the profit earned on selling 1 cup of coffee and 1 doughnut in a day is:

P = 0.5<em>X</em> + 0.4<em>Y</em>

Compute the probability that the shop owner earns more than $300 as profit as follows:

P(Profit>300)=P(\frac{Profit-\mu}{\sigma}>\frac{300-((0.5\times320)+(0.4\times150))}{\sqrt{0.5^{2}(20)^{2}+0.4^{2}(12)^{2}}})\\=P(Z>7.21)\\\approx0

The probability of earning a profit more then $300 is approximately 0.

Thus, the shop owner has no reasonable chance to expect earning a profit more than $300.

(3)

The expression representing the statement "he'll sell a doughnut to more than half of his coffee customers" is:

<em>Y</em> > 0.5<em>X</em>

<em>Y</em> - 0.5<em>X</em> > 0

Compute the probability of the event (<em>Y</em> - 0.5<em>X</em> > 0) as follows:

P(Y - 0.5X > 0)=P(\frac{(Y - 0.5X) -\mu}{\sigma}>\frac{0-(150-(0.5\times320}{\sqrt{12^{2}+0.5^{2}20^{2}}})\\=P(Z>0.64)\\=1-P(Z

Thus, the probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

8 0
3 years ago
If the graph of a quadratic function opens down, the function has a minimum value. true or false?​
DanielleElmas [232]
This is a false statement
5 0
3 years ago
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