Answer:
The AVERAGE function calculates the average of numbers provided as arguments. To calculate the average, Excel sums all numeric values and divides by the count of numeric values. This behavior can be replicated with the SUM and COUNT functions like this: = SUM(A1:A5) / COUNT(A1:A5) // manual average calculation
Step-by-step explanation:
Answer:
r = -7
Step-by-step explanation:
Solve for r:
8 r + 9 = -4 (3 - r) - 7
-4 (3 - r) = 4 r - 12:
8 r + 9 = 4 r - 12 - 7
Grouping like terms, 4 r - 12 - 7 = 4 r + (-7 - 12):
8 r + 9 = 4 r + (-7 - 12)
-7 - 12 = -19:
8 r + 9 = 4 r + -19
Subtract 4 r from both sides:
(8 r - 4 r) + 9 = (4 r - 4 r) - 19
8 r - 4 r = 4 r:
4 r + 9 = (4 r - 4 r) - 19
4 r - 4 r = 0:
4 r + 9 = -19
Subtract 9 from both sides:
4 r + (9 - 9) = -9 - 19
9 - 9 = 0:
4 r = -9 - 19
-9 - 19 = -28:
4 r = -28
Divide both sides of 4 r = -28 by 4:
(4 r)/4 = (-28)/4
4/4 = 1:
r = (-28)/4
The gcd of -28 and 4 is 4, so (-28)/4 = (4 (-7))/(4×1) = 4/4×-7 = -7:
Answer: r = -7
Answer: h = -17.5
Step-by-step explanation:
Move the like-terms together on the right side and the other to the left side.
1.6h - 4h = 72 - 30
Subtract both sides:
1.6h - 4h = -2.4h
72 - 30 = 42
-2.4h = 42
Divide -2.4 by both sides
-2.4h/-2.4 = 42/-2.4
h = -17.5
Answer:
a) P(A')=0.7.
b) P(B')=0.75.
c) P(C')=0.4.
d) d) Therefore, we conclude that are A and B mutually exclusive events.
Step-by-step explanation:
From task we know that are:
P(A)=0.3
P(B)=0.25
P(C)=0.6
Therefore, we get calculate the next probabilities:
a) P(A')=1-P(A)
P(A')=1-0.3
P(A')=0.7.
b) P(B')=1-P(B)
P(B')=1-0.25
P(B')=0.75.
c) P(C')=1-P(C)
P(C')=1-0.6
P(C')=0.4.
d) Therefore, we conclude that are A and B mutually exclusive events.
5/10=.5
3/4=.75
2/3=.666666
0/25=0