Answer:
A + B = 24
16A + 20B = 434
Step-by-step explanation:
To write a system of equations for this scenario, let's say that A represents the number of hours machine A ran, and B represents the number of hours machine B ran.
The first equation will be:
A + B = 24
because the total number of hours ran is 24.
The second equation will be:
16A + 20B = 434
because the total number of items made is 434.
A + B = 24
16A + 20B = 434
First solve for one variable, and let's just do A.
Using the first equation, A + B = 24, A is equal to 24 - B.
Substitute this value to the second equation.
16 (24 - B) + 20B = 434
384 - 16B + 20B = 434
4B = 50
B = 12.5
Now use this value of B to find the value of A.
A + 12.5 = 24
A = 11.5
Machine A ran for 11.5 hours, and Machine B ran for 12 hours.
STEPS:
1. Using a straightedge, draw a reference line, if one is not provided.
2. Draw a dot on the reference line to mark your starting point for the construction.
3. Place the point of the compass on point A on the given figure.
4. Stretch the compass so that the pencil is exactly on B. Make a small arc through B.
(This small arc will show that you measured the length of the segment with your compass.)
5. Without changing the span of the compass, place the compass point on the starting point (dot) on the reference line and swing the pencil to create an arc crossing the reference line.
6. Label your copy.
Answer:
b
Step-by-step explanation:
Answer:
2.6549
Step-by-step explanation:
Since the sample size n=65, the degrees of freedom is n-1=65-1=64
The critical value=
Using the t-table and selecting df=64 and 
since it’s a 2 tail the corresponding t-score is 2.6549
Therefore, the critical value is 2.6549
Answer:
pi + -pi = 0
Step-by-step explanation:
We need to have irrational numbers that we are adding and end up with a rational number. This means that it is not closed under addition
pi is an irrational number
0 is a rational number
pi + -pi = 0
irrational + irrational = rational
