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AlexFokin [52]
2 years ago
13

Help pls need answer asap

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
7 0

Answer:

Carl traveled 281.25 km by bus and 1,618.75 km by plane.

Step-by-step explanation: v1 = 60 km/h average speed by bus to Toronto

v2 = 700 km/h average speed by plane to Winnipeg

d = 1,900 km the total distance traveled

t = 7 h total traveling time

t1 = the time of the travel by bug

t2 = the time of the travel by plane

t = t1 + t2 the total time

d1 = the distance traveled by bus

d2 = the distance traveled by plane

d = d1 + d2 the total distance

Since average speed = distance/time we have time = distance/avg.speed

t1 = d1/v1 that is t1 = d1/60

t2 = d2/v2 that is t2 = d2/700

Plug the above values into t1 + t2 = t.

We have the following system of equations:

d1/60 + d2/700 = 7

d1 + d2 = 1900

.......

Click here to see the step by step solution for 'd1' and 'd2'

.......

d1 = 281.25 km

d2 = 1,618.75 km

Carl traveled 281.25 km by bus and 1,618.75 km by plane.


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jok3333 [9.3K]
18/20=27/x
18x=27*20
x=(27*20)/18=30

Answer: 30
6 0
3 years ago
According to a recent New York Times poll, 25% of the public have responded to a telephone call-in
ArbitrLikvidat [17]

Answer:

Probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.

Step-by-step explanation:

We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in  poll.

Also, five people have people have been randomly selected.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......

where, n = number trials (samples) taken = 5 people

           r = number of success = exactly two

           p = probability of success which in our question is probability that

                 public have responded to a telephone call-in  poll, i.e; p = 25%

<em><u>Let X = Number of people who have responded to a telephone call-in  poll</u></em>

So, X ~ Binom(n = 5, p = 0.25)

Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)

                P(X = 2)  =  \binom{5}{2} \times 0.25^{2} \times (1-0.25)^{5-2}

                               =  10 \times 0.25^{2}  \times 0.75^{3}

                               =  <u>0.264</u>

<em>Therefore, the probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.</em>

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3 years ago
Emily is going to the beach for spring break PLEASE HELP IM BEGGING YOU SMART PEOPLE.
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and 2 different flip flops.

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Answer:

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