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Makovka662 [10]
3 years ago
5

A westbound train travels 16 miles per hour slower than the eastbound train. If two trains are 800 miles apart after 5 hours wha

t is the rate of the westbound train?
Mathematics
1 answer:
lozanna [386]3 years ago
7 0

Answer:

6

Step-by-step explanation:

The rate can be calculated as follows

x + x -16

2x-16

(2x-16)×5

10x - 80= 800

10x = 300-80

10x, = 220

x = 220/10

= 22

22-16

= 6 mph

Hence the rate of the west bound tsin is 6mph

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Step-by-step explanation:

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Chris decided to move the marker from 2 to 6.

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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

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The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

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Check the conditions as follows:

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The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

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