thirty-seven point five percent and three per eight
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
Answer:
1/36
Step-by-step explanation:
A die can roll a 1,2,3,4,5,6
P (5) = number of 5's / total
= 1/6
The 2nd roll is independent so the probability is the same
P (5) = number of 5's / total
= 1/6
P(5, 5) = 1/6*1/6 = 1/36
The answer to that question is the sum of the hours he studied for on both days, which will be 1/4 + 3/8.
However, we cannot add fractions with different denominators. In this case, it's 4 and 8.
So if we want to add them, we must make the denominators similar to each other. How to make 4 into 8? We multiply it by 2: 4 x 2 = 8.
BUT when we multiply fractions, we must multiply both the numerator and the denominator by the same number to keep its original value. In this case, if you want to multiply 4 by 2, you must also multiply 1 by 2.
=> SO to make 1/4 into y/8, we will multiply it like this (1 x 2) / (4 x 2) = 2/8
Now we can add the 2 fractions together. 2/8 + 3/8 = (2 + 3)/8 = 5/8. THIS IS YOUR ANSWER.
TL;DR: He studied 5/8 (or 0.625) hour altogether on both days.