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Pepsi [2]
3 years ago
11

Solve for x in the equation x squared + 4 x minus 4 = 8.

Mathematics
2 answers:
Tcecarenko [31]3 years ago
6 0

Answer:

x = -6 or x=2

Step-by-step explanation:

x = –6 or x = 2

x = negative 2 plus-or-minus 2 StartRoot 2 EndRoot

x = –2 or x = 6

x = 2 plus-or-minus 2 StartRoot 2 EndRoot

Goryan [66]3 years ago
5 0

Step-by-step explanation:

x² + 4x − 4 = 8

x² + 4x − 12 = 0

(x + 6) (x − 2) = 0

x = -6 or x = 2

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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th
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Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.  

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is  

\large P(X>t) = e^{-t/10}

a)  

1 hour = 60 minutes, so the probability that you wait longer than one hour is

\large P(X>60)=e^{-6}=0.0025

b)

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

\large P(X\leq 10)=1-e^{-6}=0.9975

c)

We want x so that

P(X>x)=0.1

\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes

d)

We want P(X<x)=0.9

\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes

4 0
3 years ago
Estimate. then ,divide using the standard algorithm and check<br> 45.15/21
insens350 [35]
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First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlin
love history [14]

Answer:

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4 0
3 years ago
Disregarding sales tax, how much will you save when
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Answer:

$2.40

Step-by-step explanation:

$12.00÷100=0.12x20=2.4

hope this helps, have a good day.

5 0
2 years ago
Kleyder heard that a car stereo system was on sale for 30% off. If the original price was $82.50, what was the sale price of the
AysviL [449]

Answer:

This means the cost of the item to you is $57.75. You will pay $57.75 for a item with original price of $82.50 when discounted 30%. In this example, if you buy an item at $82.50 with 30% discount, you will pay 82.50 - 24.75 = 57.75 dollars.

3 0
3 years ago
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