A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  (1/120 mile/min)(60 min/h)(3 h)

  1.5 mile

  the increase in depth after 3 hours

Step-by-step explanation:

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

  (1/120 mile/min)(60 min/h)(3 h)

The value of this product is ...

  (1·60·3)/(120·1·1) mile = 1.5 mile

The value represents the increase in depth after 3 hours.

Answer 2
Answer:

Final answer:

The product of three rational numbers is 1.5, which represents the change in the submarine's elevation after 3 hours.

Explanation:

To represent the change in the submarine's elevation after 3 hours, we need to find the product of the descent rate per minute and the total number of minutes in 3 hours. The descent rate per minute is 1/120 mile, and there are 60 minutes in an hour. So, the product is:

(1/120) * (60 * 3)

Simplifying the expression:

(1/120) * 180 = 1.5

The value of the product, 1.5, represents the total change in the submarine's elevation after 3 hours. Since the submarine is descending, the elevation decreases by 1.5 miles.

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Will Mark Brainliest! What are the coordinates of point A?(–2, –6)

(–6, –2)

(–6, –3)

(–3, –6)

Answers

Step-by-step explanation:

the first one -2,-6 .......

Divide the fractions:

5/8 divided by 1/24 =

Answers

Answer:

The answer to this question is 15.

Step-by-step explanation:

We know that dividing a fraction by another fraction is the same as multiplying a fraction by the other fractions reciprocal, where the numerator and denominator are switched.

5/8 ÷ 1/24 =

5/8 x 24/1 =

120/8

120 ÷ 8 = 15.

Hence, the answer to this question is 15.

Hope this helps! :D

Final Answer:

15

Step-by-step explanation:

5/8 ÷ 1/24

5/8 ÷ 24/1

5/8 × 24/1 = 120/8

120/8 ⇒ 15/1 ⇒ 15

kim and courtney share a 20 ounce box of cereal. By the end of the week kim has eat 2/5 of the box and courtney has eaten 1/10 of the box of cereal what fraction of the box is left

Answers

Answer: 1/2

Step-by-step explanation:

Kim ate 2/5 which is also equal to 4/10 and Courtney has eaten 1/10

4/10 + 1/10 = 5/10 = 1/2

Write (3y)^2 without exponents

Answers

There are two ways of doing this

3y x 3y
Or
9y
" ^ " indicates exponentiation.  " ^2 " indicates squaring, or multiplying the base by itself.  Thus, w^2 is the same as w times w.

What is (3y) times (3y)?

Can answer this
1/2 + 2/5=​

Answers

Answer:

9/10 or 0.9

Step-by-step explanation:

1/2 + 2/5 =

1 × 5 + 2 × 2/2 × 5

5 + 4 = 10

9/10 or 0.9

InFraction=9/10

InDecimal=0.9

Thus,The answer is 9/10 or 0.9

-TheUnknownScientist

Answer:

9/10 or 0.9.

Step-by-step explanation:

1/2 + 2/5 =

5/10 + 4/10 =

5 + 4/10 =

9/10

Business Week conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively. Assume the standard deviation for the male graduates is $40,000 and for the female graduates it is $25,000. 1. In which of the preceding two cases, part a or part b, do we have a higher probability of obtaining a smaple estimate within $10,000 of the population mean? why? 2. What is the probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean?

Answers

Answer:

1. Due to the lower standard deviation, it is more likely to obtain a sample of females within $10,000 of the population mean

2. 15.87% probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

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

Z = (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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = (\sigma)/(√(n)).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

1. In which of the preceding two cases, part a or part b, do we have a higher probability of obtaining a smaple estimate within $10,000 of the population mean? why?

The lower the standard deviation, the less dispersed the values are, meaning it is more likely to find values within a certain threshold of the mean.

So

Due to the lower standard deviation, it is more likely to obtain a sample of females within $10,000 of the population mean.

2. What is the probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean?

We have that:

\mu = 168000, \sigma = 40000, n = 100, s = (40000)/(√(100)) = 4000

This probability is the pvalue of Z when X = 168000 - 4000 = 164000. So

Z = (X - \mu)/(\sigma)

By the Central Limit Theorem

Z = (X - \mu)/(s)

Z = (164000 - 168000)/(4000)

Z = -1

Z = -1 has a pvalue of 0.1587

15.87% probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean

Final answer:

1. We have a higher probability of obtaining a sample estimate within $10,000 of the population mean when the standard deviation is smaller. In this case, the standard deviation for female graduates is smaller, so the probability is higher. 2. The probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean can be calculated using the z-score formula and the z-table.

Explanation:

1. In the case where the standard deviation is smaller, we have a higher probability of obtaining a sample estimate within $10,000 of the population mean. This is because a smaller standard deviation indicates less variability in the data, making it more likely for the sample mean to be closer to the population mean. In this case, the standard deviation for female graduates is smaller, so the probability is higher.

2. To calculate the probability, we need to calculate the z-score and then use the z-table. The z-score formula is z = (x - μ) / (σ / sqrt(n)), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. Plugging in the given values, we find the z-score and use the z-table to find the probability.

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