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Shalnov [3]
3 years ago
13

Tia was flying her model airplane. it took the airplane 5 seconds to go 90 feet. what was the average rate of speed of the model

airplane, in feet per second?
Mathematics
2 answers:
9966 [12]3 years ago
4 0
By definition, the speed is given by the quotient between the distance traveled and the time it takes to travel that distance. We have then that the expression for speed is as follows
 v = d / t
 where
 d: distance
 t: time
 Substituting
 v = (90feet) / (5s) = 18feets / s
 answer
 the average rate of the airplane model, in feet per second was 18feets / s
Thepotemich [5.8K]3 years ago
3 0
<span>18 feet per second: To find the average rate in feet per second, divide distance (90 feet) by time (5 seconds) to get 18 feet per second.</span>
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Jim is building a rectangular deck and wants the length to be 1 ft greater than the width. what will be the dimensions of the de
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Let x = width
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2 years ago
Consider a uniform distribution from aequals4 to bequals29. ​(a) Find the probability that x lies between 7 and 27. ​(b) Find th
weeeeeb [17]

Answer:

a) 80% probability that x lies between 7 and 27.

b) 28% probability that x lies between 6 and 13.

c) 44% probability that x lies between 9 and 20.

d) 28% probability that x lies between 11 and 18.

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 that we find a value x between c and d, in which d is larger than c, is given by the following formula.

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

Uniform distribution from a = 4 to b = 29

(a) Find the probability that x lies between 7 and 27.

So c = 7, d = 27

P(7 \leq x \leq 27) = \frac{27 - 7}{29 - 4} = 0.8

80% probability that x lies between 7 and 27.

​(b) Find the probability that x lies between 6 and 13. ​

So c = 6, d = 13

P(6 \leq x \leq 13) = \frac{13 - 6}{29 - 4} = 0.28

28% probability that x lies between 6 and 13.

(c) Find the probability that x lies between 9 and 20.

​So c = 9, d = 20

P(9 \leq x \leq 20) = \frac{20 - 9}{29 - 4} = 0.44

44% probability that x lies between 9 and 20.

(d) Find the probability that x lies between 11 and 18.

So c = 11, d = 18

P(11 \leq x \leq 18) = \frac{18 - 11}{29 - 4} = 0.28

28% probability that x lies between 11 and 18.

3 0
2 years ago
Make a conjecture about the sum of the first 54 positive even numbers
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3 years ago
The sum of three numbers is 18. If every number is a prime number, what are the three numbers?
sleet_krkn [62]
The three numbers are 2, 5, and 11.

The sum of 3 numbers is 18.        2 + 5 + 11 = 18

Since the problem states that every number is a prime number, then the number must be a natural number greater than 1 that has no positive divisors other than 1 and itself.

2 / 1 = 2  OR  2 / 2 = 1  These numbers are prime numbers because their divisors
5 / 1 = 5  OR  5 / 5 = 1            are 1 and itself.
11/1 = 11 OR 11/11 = 1
4 0
3 years ago
Read 2 more answers
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