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2 years ago

Which has more people a car that is 3/4 full or a car that is 1/4 full

Mathematics

2 answers:

malfutka [58]2 years ago

8 0

A car of people 3/4 full would be more than a car of people 1/4 full because 3/4 is more than 1/4.

Jlenok [28]2 years ago

4 0

A car that is 3/4 full because 3 outta the 4 seats are taken while 1/4 is only 1 outta the 4 seats are taken up. Hope it helps :).

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.049.0 and

sveta [45]

Answer:

10% probability that a given class period runs between 51.25 and 51.75 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability of finding a value X between c and d, d greater than c, is given by the following formula:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Uniformly distributed between 49 and 54 minutes

This means that $b = 54, a = 49$

Find the probability that a given class period runs between 51.25 and 51.75 minutes.

$P(51.25 \leq X \leq 51.75) = \frac{51.75 - 51.25}{54 - 49} = 0.1$

10% probability that a given class period runs between 51.25 and 51.75 minutes.

6 0

3 years ago

Cars arrive at a toll booth according to a Poisson process with mean 90 cars per hour. Suppose the attendant makes a phone call.

Mama L [17]

Answer:

92.12 seconds

Step-by-step explanation:

According to the poisson probability relation :

P(X =x) = (e^-λ * λ^x) / x!

For no calls to be reveived during the period, x = 0

P(X = 0) = (e^-λ * λ^0) / 0!

P(X = 0) = 0.1

0.1 = (e^-λ * λ^0) / 0!

0.1 = e^-λ

Take the In of both sides

In(0.1) = - λ

-2.303 = - λ

λ = 2.303

The length of call in second, l

l = λ / r ; r = arrival rate

r = 90 per hour ; this means ;

90 / 3600 = 0.025

l = 2.303 / 0.025

l = 92.12 seconds

6 0

2 years ago

The price of coffee beans, b, fluctuates by 14% in both directions over a 4-month period. Which of the following expressions doe

Montano1993 [528]

Answer:

I don't know but I need points, look it up on go0gle

6 0

3 years ago

A circular running track is 1/4 miles long Jane runs on this track completing each lap in 1/20 of an hour what is James running

Cloud [144]

Answer:

James running speed is 5 Miles per hours

Step-by-step explanation:

Given:

Length of the circular running track = 1/4 miles

Time Taken for Jane to make one complete lap = 1/20 of an hour

To Find:

James running speed = ?

Solution:

Let the speed at which James is running be X

then , we know that

$Speed = \frac{Distance}{Time}$

$Speed = \frac{ \frac{1}{4} }{ \frac{1}{20} }$

$Speed = \frac{1}{4} } \times\frac{20}{1}$

$Speed = \frac{20}{4}$

Speed = 5 Miles per hours

5 0

3 years ago

Paint is red: blue in a ratio 2:4. If 6 liters of blue is used. How much red

Ratling [72]

Answer:

The red paint is used is 3 liters

Step-by-step explanation:

Ratio states that how two numbers compare.

Ratio is a comparison of the size of one number to the size of another number.

i.e, a to b means a:b

Given the ratio of paint red(r) and paint blue(b)

i.e,

by the definition of ratio:

r:b = 2:4

Let the number be x

then,

The quantity of red paint used be 2x and the quantity of blue paint used be 4x

It is given that the 6 liters of blue paint is used.

then;

4x =6

Divide both sides by 4 we get;

$\frac{4x}{4} =\frac{6}{4}$

Simplify:

$x = \frac{3}{2}$

then the red paint used is 2x = $2 \times \frac{3}{2} =3$ liters

Therefore, the red paint is used is 3 liters.

6 0

3 years ago