Answer:
(-4,0) and (5,0)
Step-by-step explanation:
Factor.
f(x) = x^2 -x - 20
Factors of -20 that when are added they equal -1
-5 and 4
(x-5) (x+4)
x=5 and x=-4
Answer:
1092
Step-by-step explanation:
We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function 
. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.
We will use average rate of change formula to solve our given problem.
Upon substituting our given values, we will get:
Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.
1/3 as a decimal is roughly .333 repeating
Answer:
89%
Step-by-step explanation:
89 out of one hundred is shaded orange to it would be 89/100 and 89/100 is equal to 89%.
Answer:
The 90% confidence interval would be given by (63.330;81.070)
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Let put some notation
x=left arm , y = right arm
x: 175 169 182 146 144
y: 102 101 94 79 79
Since the Confidence is 0.90 or 90%, the value of a = 0.1 and a/2= 0.05we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that ta/2= 2.13
