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trapecia [35]
3 years ago
12

A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7

seconds, the boy has rolled to a distance of 30 meters. What is his average speed?
Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

His average speed is 4.75 m/s

Step-by-step explanation:

Here, we are interested in calculating the average speed of the boy.

At time t = 4 seconds, total distance traveled = 6 meters

The average speed here is distance/time = 6/4 = 1.5 m/s

Now at time 30 7 seconds , he has rolled 30 meters

What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds

So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second

Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second

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RideAnS [48]
La respuesta es trescientos setenta
7 0
3 years ago
Point B has coordinates ​(1​,2​). The​ x-coordinate of point A is negative 8. The distance between point A and point B is 15 uni
olchik [2.2K]

Answer:

The point A will be  (-8,14) or (-8,-10).

Step-by-step explanation:

Point B has coordinates (1,2) and the x-coordinate of point A is - 8.

Let us assume that the coordinates of point A are (-8,k).

Now, given that the point A is 15 units apart from point B.

Therefore, from the distance formula, we can write that  

\sqrt{(1 - ( -8))^{2} + (2 - k)^{2}} = 15

Now,squaring both sides, we get  

(1 - ( -8))^{2} + (2 - k)^{2} = 225

⇒ (2 - k)^{2} = 225 - 9^{2} = 144

⇒ 2 - k = ± 12

⇒ k = 14 or -10.

Therefore, the point A will be  (-8,14) or (-8,-10). (Answer)

We know that the distance between two points on the coordinate plane (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by  

\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}.

7 0
3 years ago
A certain city's Department of Transportation DOT repairs about 80,000 potholes per year. The DOT completes 90% of the repairs o
timurjin [86]

Answer:

Option A

Step-by-step explanation:

6 0
2 years ago
A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the num
allsm [11]

Answer:

0.6836 = 68.36% probability that the player will win at least once.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

25% chance of winning

This means that p = 0.25

Plays the game four times

This means that n = 4

What is the probability that the player will win at least once?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836

0.6836 = 68.36% probability that the player will win at least once.

8 0
3 years ago
Can someone please help me.
jek_recluse [69]

Answer:

linear

Step-by-step explanation:

to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16

8 0
3 years ago
Read 2 more answers
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