Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
a.
The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.
After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.
After two hour since the candle was lit, the length of the candle will be (15.2 - 0.8) = 14.4 inch. The length of the candle after two hours can also be represented by {16 - 2(0.8)}.
Hence, the length of the candle after t hours when it was lit can be represented by the function, 
. 
at t = 20.
b.
The domain of the function is 0 to 20.
c.
The range is 0 to 16.
Answer:
1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.
Step-by-step explanation:
Hello!
The historical information indicates that 60% of the forest trees are classified as softwood.
A botanist thinks that the proportion might be greater than 60%, so he tested his belief obtaining:
H₀: p = 0.60
H₁: p > 0.60
p-value: 0.015
You need to interpret this p-value. Little reminder:
The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis. It represents the % of size n samples from a population with proportion p=p₀, which will produce a measure that provides evidence as (or stronger) than the current sample that p is not equal to p₀.
The correct answer is:
1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.
I hope this helps!
Answer:
The answer to your question is the theater is 6.7 mi from home
Step-by-step explanation:
Data
speed 1 = 2 mi/h
time in theater = 2h 15 min
speed 2 = 40 mi/h
time = 3.5 h
Process
1.- Write the formula to calculate speed
speed = distance / time
-Solve for time
time = speed x time
2.- Write and equation to solve this problem
total time = time from home to theater + time from theater to home
3.- Substitution
3.5 = d/2 + d/40
4.- Solve for d
3.5 = (20d + d) / 40
140 = 21d
d = 140 / 21
d = 6.7 mi
Answer:
Step-by-step explanation:
Assuming that a fair die is rolled.
- The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.
Let X be the set of all possible outcomes. Let A be an outcome.
So, the probability that A occurs is:
As the set of all possible outcomes of the roll of a single die is:
Observe that
Here
because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.
So, the probability must be zero.
In other words,
Therefore,
