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oksian1 [2.3K]
4 years ago
7

The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability

that the average age of a randomly selected sample of 100 students will be less than 21.8 years
Mathematics
1 answer:
Marianna [84]4 years ago
3 0

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

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If 1 lb of fat is stored by the body for each 14.6 ✕ 103 kj of excess nutritional energy consumed, how many bags of chips contai
frez [133]

When 14.6 × 103 k j of nutritional energy is consumed , 1 lb of fat is stored by the body.

 It means amount of nutritional energy is directly proportional to amount of fat stored.

Now amount of fat required = 3 lb

A.T.Q

Amount of fat stored= K × Amount of nutritional energy taken

\frac{F_{1}}{N_{1}} = \frac{F_{2}}{N_{2}}

⇒\frac{1}{14.6\times103} =\frac{3}{N_2}

⇒N_{2} = 3\times14.6\times103

⇒N_{2} = 4511.4 kj

For 3 lb of fat 4511.4 k j of excess nutritional energy should be consumed.

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7 0
3 years ago
A taxi service charges one dollar for the first 1/10 of a mile then $.10 for each additional 1/10 of a mile after that
Evgen [1.6K]

Answer:

y  = 1.00+0.10 x (if this is what you meant)

Step-by-step explanation:

Given that a taxi has a minimum charge of 1 dollar upto 1/10 mile and adds 0.10 for every additional 1/10 mile.

If a person travels <=1/10 miles his charges are 1 dollar

If he travels >1/10 miles charges are 1 dollar +0.10(extra miles 1/10)

Let y be the charges and x be the no of 1/10 miles.

Then the equation for y in terms of x would be

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y  = 1.00+0.10 x

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3 years ago
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Answer:

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5 0
3 years ago
Of the 1640 students in rolled at school 50% come to school by bus 35% come by car and the rest of the students walk to school h
Eva8 [605]

Answer:

256

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4 years ago
Solve for X. 3(x+2)=24
garik1379 [7]

ANSWER

My answer is in the photo above

7 0
3 years ago
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