Answer:
The 95% confidence interval would be given by (49.66;54.54)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=12.3 represent the sample standard deviation
n=100 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence is 0.95 or 95%, and the significance would be 
and 
, the critical value for this case is: 
Replacing the info given we got:
The 95% confidence interval would be given by (49.66;54.54)
Answer:
The coordinate of pre-image is, B(3 , -9).
Step-by-step explanation:
Given an image point has coordinate B'(7, -4).
We have to find the coordinates of its pre-image:
The rule of translation on pre-image (x, y) is given by;
then;
(7, -4) = (x+4, y+5)
on comparison we have;
x+4 = 7 and y + 5 = -4
First solve for x;
Subtract 4 from both sides we have;
x + 4 -4 =7-4
Simplify:
x = 3
To solve for y;
y+5 = -4
Subtract 5 from both sides we get;
y = -9
Therefore, the coordinate of pre-image is, B(3, -9)
Answer:
a) There is suggestive evidence the velvet leaf seed is successful at weed control.
b) Lower bound: 3.699 Upper bound: 6.629
c) Since the confidence interval contains the average percent of seeds to be infected by the beetle (5.164), so we fail to reject the null hypothesis at the specified level of significance.
Step-by-step explanation:
See attached picture.
There is 3/4 cup of whatever in one serving. If that serving amount changed to 2, then the 3/4 would be multiplied by 2. If there is half a serving, then it would be divided by 2. There is a constant change, and not one that is always changing.
