Answer:
Step-by-step explanation:
graph y = 1/3x + 1/2
the slope is 1/3
y intercept is 1/2 ( that would be on the y axis)
slope would be 1/3 . ..up one over three
plot points starting with 1/2 . . and then move the points up one over three
with Y less than that line . . .it would have to move to the right on the number line . . .so you shade the right hand side of the line on the graph
1/6 + 2/3=
1/6+4/6 being 6 the common denominator
5/6 which is in simplest form
Answer:
75.0%
Step-by-step explanation:
There are a total of 69+59 = 128 people in the group. Of those, 69 are men and 27 more are people (women) who earn more than $50,000. So the group (man or person earning more than $50,000) consists of 96 people.
The probability of selecting one of those 96 from the group of 128 is ...
96/128 = 3/4 = 75.0%
_____
In a problem such as this, where the group of interest consists of parts of overlapping groups, the trick is always to find the easiest way to determine the size of the group of interest. Since the group "men" includes "high-earning men" and "low-earning men" and the group "women" includes "high-earning women" and "low-earning women", we could go to the trouble to figure the numbers in each of those four groups. In the end, we want ...
man or high-earner = "low-earning man" + "high-earning man" + "high-earning woman"
As we saw above, the sum of the first two of these is just "men", so we can find the size of our group of interest by adding ...
= "men" + "high-earning women"
Because both of them are congruent triangles.
The have sides that equal to each other, angles that equal to each other and a common base.
Answer:
117
Step-by-step explanation:
Each angle of a regular pentagon = 108
Each angle of regular octagon = 135
135+ 108 + ∠SBY = 360
243 + ∠SBY = 360
∠SBY = 360 - 243
∠SBY = 117°