Answer:
E. -0.723
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Step-by-step explanation:
Information provided
represent the sample mean for the length
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
since we don't know the population deviation the statistic is:
(1)
Replacing in formula (1) we got:
E. -0.723
P value
The degrees of freedom are given by:
Since is a two tailed test the p value would be:
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Answer:
y-4= -1/2(x-4)
Step-by-step explanation:
First you have to find the slope to write it in point slope
to do this you find change in Y over change in X
From -4 to 4 is postivite 8 and from 8 to 4 its -4
Now you do -4 divided by 8 and get -0.5 or -1/2 for slope now pick one of the points and put it in the formula y-y1=m(x-x1)
Answer:
1
Step-by-step explanation:
x² + 5x-5
Let x = -6
(-6)^2 + 5(-6) -5
36 -30 -5
6-5
1
Answer: B 21
Step-by-step explanation: There are 14 boys divide that by two you get seven and then you times that by three which equals 21
The cost of each stone sphere is $ 36.81
<em><u>Solution:</u></em>
Given that,
An architect plans to buy 5 stone spheres and 3 stone cylinders
For the same amount, she can buy 2 stone spheres and 6 stone cylinders
Let "x" be that same amount
Let "a" be the cost of each stone sphere
Cost of each stone cylinder = $ 36.81
Therefore,
x = 5 stone spheres and 3 stone cylinders
x = 5a + 3(36.81)
Similarly,
x = 2 stone spheres and 6 stone cylinders
x = 2a + 6(36.81)
Equate both,
Thus cost of each stone sphere is $ 36.81
