Answer:
Now we can calculate the p value with this probability:
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense
Step-by-step explanation:
Information given
represent the sample mean
represent the population deviation
sample size
represent the value to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to check if the true mean for this case is higher than 31.1 MPG, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation the statistic would be given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with this probability:
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense
For a line, a symmetric line is any perpendicular line to it, because if you drop a perpendicular line, the line on one side is just a reflection of the other side.
so, in short, what is a likely equation of a line perpendicular to that one?
well, what's the slope of the line on the graph anyway? well, notice, we have a point of (-3,-4), let's pick another point on the line to get its slope, hmmm say (0,8),
so, a line whose slope is -1/4 is a likely line of symmetry for that line, since it'd be a perpendicular line to it, and since you know your slope-intercept forms, you know which one that is.
7.44÷24=c because to find the unit price you need divide 7.44 by 24
Answer:
15 miles
Step-by-step explanation:
9 miles is 60% of the total
We can translate this to an equation. Remember:
- "IS" means "EQUAL"
- "OF" means "MULTIPLICATION"
- Percentage should be converted to decimal first by dividing by 100
- Let total be t
60% will be 60/100 = 0.6
Now, translating the word problem into an equation:
Now, we solve for total (t):
Hence, she ran 15 miles all week
Answer: Third Choice. (2, 0)
Step-by-step explanation:
<u>STEP ONE: Look over the given choice.</u>
When the value of y is 0, the value of x would be the x-intercept.
The given choice are the following:
- (0, 8/3)
- (0, 2)
- <u>(2, 0)</u>
- <u>(8/3, 0)</u>
As we can see from the choices, the first two do not have the value of y as 0, therefore, they can be automatically neglected. Then, we are left with two choices left.
<u>STEP TWO: Substitute the remaining values into the given equation</u>
Given point = (2, 0)
3y + 4x = 8
3 (0) + 4 (2) = 8
0 + 8 = 8
8 = 8
Given point = (8/3, 0)
3y + 4x = 8
3 (0) + 4 (8/3) = 8
0 + 32 / 3 = 8
32/3 ≠ 8
Therefore, the ordered pair that represents the x-intercept is <u>(2, 0)</u>.
Hope this helps!! :)
Please let me know if you have any questions