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alexandr402 [8]
3 years ago
15

A train travels 226 miles from Washington, D.C.,to New York city in about 2 hours and 30 minute. What is the average speed of th

e train in miles per hour? Round to the nearest mile per hour.
Mathematics
1 answer:
nevsk [136]3 years ago
5 0
226 miles
2.5 hours

226/2.5
=90.4

90 miles/hour
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g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar
BaLLatris [955]

Answer:

The test statistic is z = 1.25

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

H_0: p = 0.8

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

H_a: p > 0.8

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that \mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that n = 100, X = \frac{85}{100} = 0.85

The test statistic is

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}

z = 1.25

The test statistic is z = 1.25

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3 years ago
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AVprozaik [17]
The discount is 50-14 = $36

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Match each operation involving f(x) and g(x) to its answer
eimsori [14]

Answer:

(g-f) (-1)= sqrt(15)

(f/g)(-1)= 0

(g+f)(2)=sqrt(3)-3

(g*f)(2)=-3*sqrt(3)

Step-by-step explanation:

We have to eval the expressions given in the point indicated.

Lets start by the first equation

(g-f)(-1)= g(-1) - f(-1)= \sqrt{11-4*(-1)}    - 1 +(-1)^{2} = \sqrt{15}

Now, lest continue with the others

(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0

(g+f)(2)=g(2)+f(2)=sqrt(3)-3

(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)

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3 years ago
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Neko [114]

Answer:

20

Step-by-step explanation:

6 0
3 years ago
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Identify the missing c value in the following equation.
GalinKa [24]

Answer:

A.+4

Step-by-step explanation:

Graph pass (1 , 0) and (4 , 0)

y = (x - 1) (x - 4) = x² - 5x + 4

c = 4

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3 years ago
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