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Rashid [163]
3 years ago
10

if walters scooter can travel 53 miles on 1 gallon of gas, how far can his scooter travel on 2.5 gallons of gas?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Step-by-step explanation:

t= how far his scooter can travel on 2.5 gallons of gas

Start by setting up a ratio

53:1= t:2.5

Rewrite as fractions

\frac{53}{1} = \frac{t}{2.5}

Cross multiply

1(t)= 53(2.5)

Simplify

t= 132.5

Walter's scooter can travel 132.5 miles on 2.5 gallons of gas

I hope this helps!!!

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Answer:

a) P ( E | F ) = 0.54545

b) P ( E | F' ) = 0

Step-by-step explanation:

Given:

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- Event F at-least two coins show tail

Find:

- Find P ( E |  F )

- Find P ( E | F prime )

Solution:

- The probability of head H and tail T = 0.5, and all events are independent

So,

                    P ( Exactly 2 T ) = ( TTHH ) + ( THHT ) + ( THTH ) + ( HTTH ) + ( HHTT) + ( HTHT)  = 6*(1/2)^4 = 0.375

                    P ( At-least 2 T ) = P ( Exactly 2 T ) + P ( Exactly 3 T ) + P ( Exactly 4 T) = 0.375 + ( HTTT) + (THTT) + (TTHT) + (TTTH) + ( TTTT)

      = 0.375 + 5*(1/2)^4 = 0.375 + 0.3125 = 0.6875

- The probabilities for each events are:

                    P ( E ) = 0.375

                    P ( F ) = 0.6875

- The Probability to get exactly two tails given that at-least 2 tails were achieved:

                    P ( E | F ) = P ( E & F ) / P ( F )

                    P ( E | F ) = 0.375 / 0.6875

                    P ( E | F ) = 0.54545

- The Probability to get exactly two tails given that less than 2 tails were achieved:

                    P ( E | F' ) = P ( E & F' ) / P ( F )

                    P ( E | F' ) = 0 / 0.6875

                    P ( E | F' ) = 0                

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<h3>How to calculate a confidence interval given the sample mean and the margin of error?</h3>

The confidence interval is given by the sample mean plus/minus the margin of error, hence:

  • The lower bound is the sample mean subtracted by the margin of error.
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For this problem, we have that:

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Hence the bounds are given as follows:

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Hence the interval is [$19.50, $22.50].

More can be learned about confidence intervals at brainly.com/question/25890103

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