Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
Answer:
0,1.5
Step-by-step explanation:
y = 510 - 60x
We want to find the domain or the x values where x represents the time
We need to determine the possible values for x
Y cannot be greater than 510 or less than 0. 510 means they have not started the trip, and 0 means they have arrived
510 = 510 -60x
Subtract 510 from each side
510-510 = 60x
0 = 60x
The smallest value of x can be 0
0 = 510 - 60x
Subtract 510 from each side
-510 = 510-510-60x
-510=-60x
Divide by -60
-510/-60 = -60x/-60
8.5 = x
The maximum value of x is 8.5 hours
So x must be between 0 and 8.5 inclusive.
Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
Answer: Evaluate the findings to compare to his hypothesis
Step-by-step explanation: Since the biologist already has the findings and has a hypothesis, he now has to compare both of them together.
Answer:
.5x - .25
Step-by-step explanation:
Multiply 0.25 by each other monomial in the parenthesis.
