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jasenka [17]
3 years ago
6

You are trying to catch a train, which will be leaving in 2 minutes. There are 2 kilometers between you and the train station. I

f you managed to catch a car ride to cover the first kilometer and the car's average speed is 60 km/h, what must be your speed of running for the remaining distance to be on time for the train's departure?
Mathematics
1 answer:
noname [10]3 years ago
4 0
K, you have 2 minutes, one minute for one kilometer.
If you're in 60km/h, you're on 1km/m, so, if you cover 1 km in one minute, you need to stay in that speed to get to the train station. 
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Taya2010 [7]
Answer: 9

explanation: simply the expression .
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3 years ago
What is the y-intercept of f (x) = 3.4’x?
klasskru [66]

Answer:

3

Step-by-step explanation:

Y intercept when x = 0

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5 0
1 year ago
A fair charges an admission fee of 2 dollars for each person. Let a be the cost of admission (in dollars) for P people. Write an
Tomtit [17]

Answer:

a = 2p

Step-by-step explanation:

Given

Admission\ Fee = \$2 per person

Required

Represent as an equation

For 1 person, the admission fee is 2

For p people, the admission fee will be 2p.

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a = 2p

5 0
2 years ago
g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distrib
algol13

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

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 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.

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 = \frac{\sigma}{\sqrt{n}}.

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

Mean $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125

This means that n = 125, s = \frac{7320}{\sqrt{125}}

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

4 0
2 years ago
Kevin and is father have collected 1,456 different coins over the years. They have a coin album that holds 3 coins on a page. If
quester [9]

Answer:

486 pages

Step-by-step explanation:

1456/3 = 485.33333333, but you have to round up so 486

3 0
3 years ago
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