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velikii [3]
3 years ago
10

The times it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard devia

tion of 1.1 hours.
What is the time for a runner with a z-score of −1.2 ?

Enter your answer, rounded to the nearest hundredth, in the box.
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer: 3.28 hours

Step-by-step explanation:

Since the times it takes runners to complete a certain marathon are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = time for a runner.

µ = mean time

σ = standard deviation

From the information given,

µ = 4.6 hours

σ = 1.1 hours

The z-score is - 1.2

Therefore,

- 1.2 = (x - 4.6)/1.1

Cross multiplying by 1.1, it becomes

1.1 × - 1.2 = x - 4.6

- 1.32 = x - 4.6

x = - 1.32 + 4.6

x = 3.28 hours to the nearest hundredth

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alina1380 [7]

Answer:

An independent sample.

Step-by-step explanation:

In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.

An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.

Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.

<em>Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.</em>

6 0
3 years ago
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Murrr4er [49]
B wlll be your answer because I know
6 0
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ohaa [14]
You could use a simple pencil test to figure it out.
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$78 per hour to cents per minute.​
yanalaym [24]

Answer:

130 cents per minute

Step-by-step explanation:

Convert dollars to cents.

Note that 1$ = 100 cents.

Note that 1 hour = 60 minutes.

Using Dimensional Analysis would be a great way to approach this question and see how each of the units convert.

(78 $/1 hr) ( 1 hr / 60 min ) ( 100 cents / 1 $)

= 130 cents per minute.

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Hope this helps 
5 0
3 years ago
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