Answer:
Fourth and fifth ones are right
Step-by-step explanation:
The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
<h3>What is the average rate of change?</h3>
The average Rate of Change of the function f(x) can be calculated as;

Interval -3 ≤ x ≤-1
a = -3, b = -1
f(a) = f(-3) = -20
f(b) = f(-1) = 0
Step 2: Find Average

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
Learn more about average rate;
brainly.com/question/20784578
#SPJ1
Answer:
Option B - False
Step-by-step explanation:
Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.
For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.
Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.
Thus, it's clear critical values are different from P-values and they can't be used interchangeably.
Answer:
y = (1/2)x + 1
Step-by-step explanation:
linear line equation is y = mx + b
Where m is the slope and b is the y-intercept when x is 0.
For m, m is change in y(delta y) over change in x(delta x).
We are given two points: (0,1) and (4,3).
m = (y2 - y1)/(x2 - x1) = (3-1)/(4-0) = 2/4 = 1/2
y = (1/2)x + b
Now plug in (0,1) into above equation to find b value.
1 = (1/2)0 + b => b = 1
Final equation is y = (1/2)x + 1