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1 year ago

Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 9% hydrochloric acid solution. Find the amount of

Mathematics

1 answer:

dimaraw [331]1 year ago

4 0

Answer:

See below

Step-by-step explanation:

She needs 32 ounces finshed product

x = 16 % amount amount of acid = .16x

then (32-x) = 8% amount amount of acid = .08(32-x)

final product 9% acid = .09 (32)

.16x + .08 ( 32-x) = .09(32)

solve for x = 16% amount = 4 ounces 8% then is 28 ounces

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Read 2 more answers

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A.
$\mathbb P(X>1000)=\mathbb P\left(\dfrac{X-1200}{100}>\dfrac{1000-1200}{100}\right)=\mathbb P(Z>-2)$

Since about 95% of a normal distribution falls within two standard deviations of the mean, that leaves 5% that lie without, with 2.5% lying to either side.

$\mathbb P(Z>-2)=\mathbb P(|Z|2)=0.95+0.025=0.975$

b.
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About 68% of a normal distribution lies within one standard deviation of the mean, so this probability is about 0.68.

c. You're looking for $k$ such that

$\mathbb P(X>k)=0.10$

Since

$\mathbb P(X>k)=\mathbb P\left(\dfrac{X-1200}{100}>\dfrac{k-1200}{100}\right)=\mathbb P(Z>k^*)=0.10$

occurs for $k^*\approx1.2816$ , it follows that

$\dfrac{k-1200}{100}=1.2816\implies k\approx1328$

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4 years ago