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3 years ago

ASAP WILL MARK BRAINLIEST!!!!!!!

Mathematics

2 answers:

mihalych1998 [28]3 years ago

7 0

Answer:14

Step-by-step explanation:

ivolga24 [154]3 years ago

6 0

Answer:

Step-by-step explanation:

We are mixing two acids.

x = liters of 20% acid solution

y = liters of 70% acid solution

x + y = 8 This represents the total number of liters

and

.2x + .7y = .5(8) This represents the concentration of the solutions

Since x+y=8, y = 8-x

We can use substitution.

.2x + .7(8-x) = 4

.2x + 5.6 - .7x = 4

Combining like terms

-0.5x = - 1.6

Dividing by -0.5

x = 3.2

There are 3.2 liters of the 20% solution to be mixed with 4.8 liters of the 70% solution.

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Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

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Step-by-step explanation:

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