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2 years ago

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Nao and Arban drive to work. Nao drives 95 miles in 2.5 hours. Arban drives 128 km in 1 hour 15 min. Work out the difference bet

ween their average speeds in km/h. 1 mile = 1.6 km

1 answer:

statuscvo [17]2 years ago

4 0

Answer:

Nao = 95/2.5 = 38 miles per hour

15 min x (1 hour / 60 min) = .25

Arban = 128 km x (1 mile / 1.6 km) / 1.25 hour = 64 miles per hour

Step-by-step explanation:

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On the subway 8 out of 11 people are carrying a briefcase.Based on this information, if there are 700 people on the subway, then

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Answer:

191 people do not have a briefcase

Step-by-step explanation:

Proportion states that the two ratios or fraction are equal

As per the given condition:

On the subway 8 out of 11 people are carrying a briefcase.

⇒Total number of people = 11

and number of people carrying a briefcase = 8

Remaining number of people that do not carrying a briefcase = 11-8 = 3

Now,

Based on this information, if there are 700 people on the subway

Let x be the number of people do not have a briefcase

By definition of proportion :

$\frac{3}{11} = \frac{x}{700}$

Multiply 700 both sides, we have

$\frac{3}{11} \times 700 = x$

Simplify:

x = 190.90≈ 191

Therefore, 191 people do not have a briefcase

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2 years ago

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Let X be a random variable that is equal to the number of times a 5 is rolled in three rolls of a fair 5-sided die with the inte

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Firstly we will make PMF

For X=0, P=(4/5)^3=64/125

For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125

For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125

For X=3, P=C(3,3)*(1/5)^3=1/125

So,

E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84

E[X]=48/125+12/125*2+1/125*3=0.6

So,

E[X]^2=0.36

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Step-by-step explanation:

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42,600*2 = 85,200

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