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Oksana_A [137]
3 years ago
12

Suppose a submarine is diving from the surface of the water at a rate of 80 feet per minute. Which integer represents the depth

of the submarine after 7 minutes
Mathematics
1 answer:
ElenaW [278]3 years ago
4 0
-80x is the the problem

In this case, x=7

-80 times 7= -560

So -560 would be the integer that represents the depth of the submarine after 7 minutes.

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A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 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 distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
A toy car has a mass of 2 kg and a speed of 6 m/s. How much kinetic energy does it have?
lutik1710 [3]

Answer:

A.40 J

Step-by-step explanation:

K. E. Is 1/2 multiply by mass x velocity square

M is 5kg, v is 4m/s

1/2 x5x4x4 equals 40joules.

3 0
2 years ago
Pls help me on this question
Anna35 [415]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
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Mashutka [201]

The answer has to be: D) 55/9

6 0
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10 5/6x - 1 + 9 1/6x -9
dybincka [34]

The answer is 20x - 10.

Hope this helps!

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