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3 years ago

2/3y+1=1/6y+8 What does y equal

2 answers:

8 0

2/3y+1=1/6y+8
Multiply both sides of the equation by 6 you get
4y+6=y+48

4y+6=y+48
Move variable to the left side and change its sign
4y-y+6=48

4y-y=48-6
Collect like terms
3y=48-6

3y=42
Divide both sides of the equation by 3 and your final answer is
y=14

You’re answer is: y=14

joja [24]3 years ago

4 0

Answer:

y = 14

Step-by-step explanation:

4/6y+1 = 1/6y + 8

1/2y = 7

y = 14

Hope this helps!

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3 years ago

Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

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3 years ago

Hayden uses 3 cups of water to make a broth for soup.He uses 3 times as many cups of milk how many fluid ounces of broth does ha

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Answer:

Step-by-step explanation:

Hayden uses 3 cups of water to make a broth for soup

He uses 3 times as many cups of milk

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3 years ago

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kobusy [5.1K]

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3 years ago

Read 2 more answers

Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont

solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

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 of 36 months and a standard deviation of 2 months.

This means that $\mu = 36, \sigma = 2$