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Anton [14]
3 years ago
10

The ages of cars in the staff parking lot of a suburban college are uniformly distributed from 0 to 8 years. a) What is the mean

age of cars in the lot
Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0

Answer:

Mean = 4

Step-by-step explanation:

Given

Range = 0 to 8 years

Distribution: Uniform Distribution

Required

Determine the mean

The mean of a uniform distribution is calculated as thus:

Mean = \frac{a + b}{2}

Where a and b are the range of the distribution

In this case:

b = 8; a = 0

So, we have:

Mean = \frac{0 + 8}{2}

Mean = \frac{8}{2}

Mean = 4

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<img src="https://tex.z-dn.net/?f=x%2B%5Cfrac%7B2%7D%7Bx%7D%20%3D%203" id="TexFormula1" title="x+\frac{2}{x} = 3" alt="x+\frac{2
enyata [817]

Answer:

x=2, x=1

Step-by-step explanation:

Multiply both sides by x, so you get (x^2)+2=3x, which comes from xx+\frac{2}{x}x=3x

Solve for (x^2)+2=3x

(x^2)-3x+2=0

(x-2)(x-1)=0, use box method or FOIL if needed

x=2,x=1

7 0
3 years ago
At the school election there were three candidates. Isabella got 40 votes, Amelia got 60 votes and Mason got ⅓ of the votes. How
notsponge [240]

Answer: 150 people voted in the election.

Step-by-step explanation:

Let x = Total number of votes.

Mason got \dfrac{x}{3} votes.

Isabella got 40 votes, Amelia got 60 votes.

Then,

Combined votes = 40+60+\dfrac{x}{3}=x

100=x-\dfrac{x}{3}\\\\100=\dfrac23x\\\\ x=100\times\dfrac32\\\\ x=50\times3\\\\ x=150

Hence, 150 people voted in the election.

3 0
3 years ago
(8,15) (-14,-3)<br>find the slope
ss7ja [257]

The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11

5 0
3 years ago
A batch of 580 containers for frozen orange juice contains 8 that are defective. Two are selected, at random, without replacemen
serious [3.7K]

Answer:

a. 0.12109

b. 0.0001668

c .0.9726

d. 0.01038

e. 0.01211

f. 0.000001731

Step-by-step explanation:

Sample size = 580

Defective units = 8

Number of picks = 2

a) If the first container is defective, there 7 defective containers left in a population of 579. The probability of selecting a defective one is:

P=\frac{7}{579}=0.121

b) The probability that both are defective is given by:

P=\frac{8}{580}*\frac{7}{579}= 0.000167

c) The probability that both are acceptable is given by:

P=\frac{580-8}{580}*\frac{579-8}{579}= 0.9726

d) In this case, two defective units were removed from the batch, the probability that the third is also defective is:

P=\frac{6}{578}}= 0.0104

e) In this case, one acceptable and one defective unit were removed from the batch, the probability that the third is also defective is:

P=\frac{7}{578}= 0.01211

f) The probability that all three are defective is given by:

P=\frac{8}{580}*\frac{7}{579}*\frac{6}{578} = 0.000001731

7 0
3 years ago
A trigonometric function compares the lengths of two sides of a right triangle. A trigonometric ratlo relates the angles of a tr
sweet [91]

Answer:

true

Step-by-step explanation:

no false sorry

4 0
3 years ago
Read 2 more answers
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