Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:
- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:
So, we have:
Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:
Where:
m =Rate = 9.0
So, we have:
Expand
Represent as a function
Hence, the function that models the table is:
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
brainly.com/question/23184115
Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.
For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 5 nickels, hence .
- They are equally as likely to land on heads or tails, hence
The probability that all the nickels will land with heads facing up is P(X = 5), hence:
0.03125 = 3.125% probability that all the nickels will land with heads facing up.
A similar problem is given at brainly.com/question/24863377
Answer: x=13
Step-by-step explanation:
Set <span>C(h)=75h+50 = to 650 and solve for h, the number of hours the repair required:
75h = 600 Dividing both sides by 75,
h = 600/75 = 8 hours (answer)
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