The linear function with the same y-intercept with the graphed function is: table A.
<h3>What is a Linear Function?</h3>
The equation that models a linear function is, y = mx + b, where m is the slope and b is the y-intercept.
Slope of the graphed function = rise/run = - 2/1 = -2
Using one of the points on the line (x, y) = (5, 0) and the slope, m = -2, find the y-intercept (b) by substituting the values into y = mx + b:
0 = -2(5) + b
0 = -10 + b
10 = b
b = 10
The slope (m) of the graphed function is -2, and the y-intercept (b) is: 10.
Slope (m) of table A = change in y/change in x = (14 - 8)/(3 - 1) = 3
Substitute a point (x, y) = (1, 8) and slope (m) = 3 into y = mx + b to find the y-intercept (b):
8 = 3(1) + b
8 - 3 = b
5 = b
b = 5
Therefore the table with the same y-intercept as the graphed function is table A.
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1. is less than 3.5
2. is more than 2.1
3. -5.3 is more than -5
4. is less than 0.8 repeating
Answer:
Yes, the test was conducted with a risk of a type I error.
Step-by-step explanation:
If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.
Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.
if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.
In general terms:
‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.
Answer:
YES
Step-by-step explanation:
Yes, the probability can be found through the binomial probability formula.
Binomial probability is used when there are two possible outcomes. The success (p) and failure (q) must be clear. Here, in the question if we need to find out the probability if live entertainment had increased the amount of money spent, then the percentage increase will be considered as success.
While if we want the probability that there is no change in the percentage of money spent, then it will be considered as failure.
Answer:
5
Step-by-step explanation:
Using the rule of exponents
= 1 and =
Given
( + ) × 2²
= (1 + ) × 4
= × 4
= 5