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Korolek [52]
3 years ago
14

Élizabeth a 20 ans de moins que son père. Si son père est trois fois plus âgé qu’elle, détermine l’âge de chacun.

Mathematics
1 answer:
eduard3 years ago
4 0
Elizabeth is 20 years younger than her father. If her father is three times her age, determine the age of each.
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The vertex of y=x^2+12x+32
ollegr [7]

Answer:

The vertex is y=-4

Step-by-step explanation:

The vertex is the minimum point of the graph of the quadratic equation.

Let's first find the like of symmetry.

dy/dx=2x+12

2x+12=0

2x=-12

x=-6

Now plug -6 into the quadratic equation

y=(-6)²+12(-6)+32

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What is 7/8 + 5/6 equal to
finlep [7]

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41/24

Step-by-step explanation:

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3 years ago
The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun
Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

6 0
3 years ago
Evaluate -125^(-1/3)
soldi70 [24.7K]

Answer:

1/-125^(1/3)

=1/-5

=-0.2

3 0
3 years ago
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