CANT GET WRONGJason is training for a marathon bike ride. His average speed increased from 3 miles per hour to 6 miles per hour in 3 months. Find the rate of change in the miles per hour that Jason bikes. A) .5 mile per hour per month B) 1 mile per hour per month C) 2 miles per hour per month D) 3 miles per hour per month

Answers

Answer 1

Answer:

Answer: The correct option is (B) 1 mile per hour per month.

Step-by-step explanation: Given that Jason is training for a marathon bike ride. His average speed increased from 3 miles per hour to 6 miles per hour in 3 months.

We are to find the rate of change in the miles per hour that Jason bikes.

We know that

the average rate of change between the points (a, b) and (c, d) is given by

$A_r=(d-b)/(c-a).$

Since the number of months vary from 0 to 3, and the speed increases from 3 miles per hour to 6 miles per hour,

so the two points on the co-ordinate plane with number of months plotted across X-axis and average speed plotted on Y-axis are (0, 3) and (3, 6).

Therefore, the average rate of change in the miles per hour that Jason bikes is

$A_r=(6-3)/(3-1)=(3)/(3)=1.$

Thus, the required rate of change is 1 mile per hour per month.

Option (B) is correct.

Answer 2

Answer: B.... 6-3=3miles in 3 months .. and that's a mile per month

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ticket prices were on sale from $8.75 to $6.00. what is the percent of decrease rounded to the nearest tenth?

Answers

Answer:

31.4%

Step-by-step explanation:

We have been given that ticket prices were on sale from $8.75 to $6.00. We are asked to find percent of decrease.

$\text{Percent of decrease}=\frac{\text{Final}-\text{Original}}{\text{original}}* 100\%$

$\text{Percent of decrease}=(6-8.75)/(8.75)* 100\%$

$\text{Percent of decrease}=(-2.75)/(8.75)* 100\%$

$\text{Percent of decrease}=-0.3142857142857* 100\%$

$\text{Percent of decrease}=-31.42857142857\%$

$\text{Percent of decrease}\approx -31.4\%$

Therefore, percent of decrease was approximately 31.4%.

The percentage decrease is about 31.43%

8.75-6/8.75 x 100

2.75/8.75 x 100 = 31.428%

Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?

Answers

Answer:

Step-by-step explanation:

choice A is not guaranteed since the values varied from 0 to 7.

choice B seems alright, but doesn't include about or anything about the long run.

choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.

choice D seems pretty good, since it says average, long run, approach, etc.

choice E is incorrect because it says "will be". It is not definite.

Final answer:

The mean of 3.12 represents the average number of days per week that members are expected to visit the fitness center.

Explanation:

The mean of the random variable X, which represents the number of days per week that members visit a fitness center, is 3.12. This means that on average, members go to the fitness center about 3.12 days each week when considering all the members surveyed. It's an overall trend that indicates the central tendency or the 'typical' value that we would expect in this data set. It is calculated by multiplying each number of visit days by its relative frequency and adding all these products together, then dividing by the total number of members.

2 or more equal ratios for 7/16

Answers

this is a simple one just multiply the sides by the same number
14/32, 28/48

multiply both numerator and denominator by the same number.
14/32
21/48

Find the value of x that makes this a true statement (1/27)^x=3

Answers

Answer:

x = -1/3

Step-by-step explanation:

Given

(1/27)^x=3

Solving for x

(1/27)^x=3
(1/3)^3x = 3
3^-3x = 3^1
-3x = 1
x = -1/3

The formula for density is given by p=m/v where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml7.7
7.7278
7.73
0.1