Answer:
Critical value t-score=2.701.
Step-by-step explanation:
When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.
The critical value for t depends on the level of confidence and the degrees of freedom.
If the sample size is 42, the degrees of freedom are:

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.
Answer:
The volume of the pyramid is 
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to

where
B is the area of the triangular base
H is the height of the pyramid
step 1
Find the area of the base B

we have


substitute

step 2
Find the volume
we have


substitute


Let
x-------> the cost of the burger
y-------> the cost of the <span>sandwiches
we know that
3x+2y=27-----> equation 1
2x+y=27-11-----> 2x+y=16-----> multiply by -2-----> -4x-2y=-32--> equation 2
adds equation 1 and equation 2
</span> 3x+2y=27
-4x-2y=-32
<span>----------------
-x=27-32-----> x=5
3*5+2y=27----> 2y=27-15-----> y=6
therefore
the answer is the option
</span><span>3) The student's conclusion is correct because the solution to the system of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6).</span>
6p=13.50
there are 6 notebooks and it costs $13.50 altogether. P represents the cost of one notebook, therefore the equation would be 6p=13.5. It can be rearranged to p=13.5/6