All categories

3 years ago

The graph below shows the distance in miles, m, hiked from a camp in h hours.

Mathematics

2 answers:

Artist 52 [7]3 years ago

6 0

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = $\frac{2-0}{1-0}=2$

For hour 2 to hour 3:

rate of change = $\frac{4.5-3.5}{3-2}=1$

For hour 1 to hour 2:

rate of change = $\frac{3.5-2}{2-1}=1.5$

For hour 3 to hour 4:

rate of change = $\frac{5-4.5}{4-3}=0.5$

So, rate of change is greatest in interval: hour 0 to hour 1

Dominik [7]3 years ago

6 0

Answer:

1. 2 and 3

2.150

3. continued its journey

Step-by-step explanation:

You might be interested in

URGENT PLEASE HELP <br> please help me simplify this expression

Mandarinka [93]

I hope this helps you

3 0

3 years ago

What are the coordinates of the midpoint of the line segment with the endpoints (2,-5) and (8,3)

Papessa [141]

Midpoint Formula: $(\frac{x_2+x_1}{2} ,\frac{y_2+y_1}{2} )$

Plug the coordinates into the midpoint formula and solve as such:

$(\frac{2+8}{2} ,\frac{-5+3}{2} )\\\\(\frac{10}{2} ,\frac{-2}{2} )\\\\(5,-1)$

<u>Your midpoint is (5,-1).</u>

7 0

3 years ago

A coin is flipped. If a heads is flipped, then the coin is flipped 4 more times and the number of heads flipped is noted; otherw

MrRissso [65]

You worded this weird but wouldn't it be eight?

6 0

3 years ago

An urn contains 2 red marbles and 3 blue marbles. 1. One person takes two marbles at random from the urn and does not replace th

Ghella [55]

Answer:

A) The best way to picture this problem is with a probability tree, with two steps.

The first branch, the person can choose red or blue, being 2 out of five (2/5) the chances of picking a red marble and 3 out of 5 of picking a blue one.

The probabilities of the second pick depends on the first pick, because it only can choose of what it is left in the urn.

If the first pick was red marble, the probabilities of picking a red marble are 1 out of 4 (what is left of red marble out of the total marble left int the urn) and 3 out of 4 for the blue marble.

If the first pick was the blue marble, there is 2/4 of chances of picking red and 2/4 of picking blue.

B) So a person can have a red marble and a blue marble in two ways:

1) Picking the red first and the blue last

2) Picking the blue first and the red last

C) P(R&B) = 3/5 = 60%

Step-by-step explanation:

C) P(R&B) = P(RB) + P(BR) = (2/5)*(3/4) + (3/5)*(2/4) = 3/10 + 3/10 = 3/5

3 0

3 years ago

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$