Answer:
= - 21
+ 6x² + 1
Step-by-step explanation:
Differentiate each term using the power rule
(a
) = na
Given
y = - 3
+ 2x³ + x , then
= (7 × - 3 )
+ (3 × 2)x² + (1 × 1 )
= - 21
+ 6x² + 1
Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.
The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.
the formula for perimeter is l+l+w+w
So 9+9+6+6= 30 meters of fence
Alright, we can turn the word problem at the beginning into an equation.
Let's represent oregano with "o" and peppercorns as "p".
o=p+17
Also, we know that the two added together are 253 pounds.
o+p=253
Since we know that o=p+17, let's substitute it into the second equation.
(p+17)+p=253
2p+17=253
-17 -17
2p=236
p=118
So, we have 118 pounds of peppercorns. (Although it's irrelevant to the second half of the equation, we also know we have 135 pounds of oregano)
Now, let's convert pounds to ounces.
1 pound = 16 ounces.
So, multiply 118 by 16....
118*16=1888
So, you can make 1888 one-ounce bags of peppercorns.