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3 years ago

A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.

Mathematics

2 answers:

Andreyy893 years ago

5 0

-3.8 - 0.5m <== ur expression

the variable (m) represents number of minutes

UNO [17]3 years ago

5 0

Answer:

$-3.8-0.5x$

Step-by-step explanation:

A scuba diver is 3.8 meters below the surface of the water.

So, Depth of scuba driver is - 3.8 m

He is descending at a rate of 0.5 meters per minute.

So, Rate = -0.5 m . min

So,Distance traveled in x minutes = -0.05 x

So, The depth after x minutes = -3.8-0.5x

So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is -3.8-0.5x

The variable x represents the no. of minutes .

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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 $\mu = 36, \sigma = 2$

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

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

$-2.054 = \frac{X - 36}{2}$

$X - 36 = -2.054*2$

$X = 31.89$

Rounding to the closest month, 32.

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

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3 years ago

A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals

andrew11 [14]

Answer:

A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle? Here the number of animals and the number of days are in inverse proportion. Hence the food will last 4 days.

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3 years ago

Zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. fiv

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(750m) - 1050 = b

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Eddi Din [679]

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

b = kC

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