Answer:
The confidence interval for the true mean calorie content is
Step-by-step explanation:
In this problem we know the mean and standard deviation fo the sample, so we can compute the CI like this:
We need to determine t for 10-1=9 degrees of freedom and 99% confidence level. We look up in the t-table and the value for t is 3.2498.
Then we can calculate the limits of the CI:
Q - r = r
Flip
r = Q - r
Add r to both sides
2r = Q
Divide both sides by 2
r = Q/2
Have an awesome day! :)
Answer:
m<√-3 OR m<√3i
Step-by-step explanation:
f(x)=x²+2m(x+1)-3
with x<0
b²-4ac<0
(2m)²-4(1×-3)<0
4m²+12<0
4m²<-12
m²<-12/4
m²<-3
m<√-3 OR m<√3i
Step-by-step explanation:
2x-y=4 means y=2x-4. -> slope of the parallel line is 2.
so using pt slope form,
y+11=2(x+3)
y+11=2x+6
y=2x-5
First we want to know the surface of the circle, which is
with r representing the radius. In this case
To find the volume of the cylinder we have to multiply this outcome with the height.
Hence, the volume of the cylinder is about 5024 cubic cm.
