Answer:
a 3,5,5,11
b 3,3,37,3
- 2,269
d 113, as it is a prime factor
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7
Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a}
Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3
Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...
3^2 = 9
-6 * 3 = -18
+7
9 - 18 + 7
A.O.S (or y) = -2
Answer:
Sales Tax: $12
Total Price: $312
Step-by-step explanation:
4% of 300 is 12, so that is the sales tax. Then, because it's tax, you add it on the the price before tax to get the total price, 300+12=312.
(hope this helps!)
First let us determine the total number of combinations that
can be made from these pair. The number of combinations can simply be
calculated by multiplication, so:
Combination = 4 * 4 = 16
Since we know that for each shirt color, there is a
corresponding sock with the same color. So there are 4 matching pairs.
Therefore the unmatching pairs are 12. Calculating the probability to get
unmatching pair would be:
Probability of unmatching pair = 12/16 = 0.75
Interpretation: There is a 75% probability that his socks
and shirt wont match.
Answer:
P=0.66
Step-by-step explanation:
We know that Among 9 electrical components, exactly one is known not to function properly. If 3 components are randomly selected.
We calculate the probability that all selected components function properly.
We calculate the number of possible combinations:
We calculate the number of favorable combinations:
Therefore the probability is:
