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Brums [2.3K]
3 years ago
7

Find an equation of the plane. the plane that passes through (9, 0, −1) and contains the line x = 5 − 4t, y = 1 + 5t, z = 4 + 2t

Mathematics
1 answer:
Elodia [21]3 years ago
7 0
Consider this solution; note, the answer is marked by green colour.

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Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o
AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that \mu = 490, \sigma = \sqrt{400} = 20

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{500 - 490}{20}

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

4 0
3 years ago
Composite functions question : what's the value?
tester [92]

(f\circ f)(x)=f(f(x))\\\\ (f\circ f)(x)=x^2\Longleftrightarrow f(f(x))=x^2\\\\ f(f(f(f(f(f(2))))))=f(f(f(f(4))))=f(f(16))=256

7 0
3 years ago
HELP ASAP
SIZIF [17.4K]

Answer:

bcd= congruent property abstracted by -cdb

Step-by-step explanation:

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Tanya bought two adult tickets and one children's ticket to a movie for $15.90. Li bought four adult tickets and four children's
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The answer, hopefully you will understand

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Write a fraction that is less than 5/6 and has a denominator of 8
7nadin3 [17]
\frac{5}{6}=0.8(3) \\ \\ \frac{x}{8} < \frac{5}{6} \\ \\ \frac{x}{8} < 0.8(3)\\\\ \boxed{x= \{1,2,3,4,5,6 \}}
4 0
3 years ago
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