<span>302 divided by (9.1 x 10^4)
= (3.02 x 10^2) / </span>(9.1 x 10^4)
= 0.332 x 10^-2
= 3.32 x 10^-3
answer
<span>B) 3.32 x 10^-3 </span>
Answer:
x+42°+73°=180°(sum of angles of a triangle)
x+115°=180°
x=180°-115°
x=65°
Answer:
<h2>p(B) =
8310</h2>
Step-by-step explanation:
We will use the addition rule of probability of two events to solve the question. According to the rule given two events A and B;
p(A∪B) = p(A)+p(B) - p(A∩B) where;
A∪B is the union of the two sets A and B
A∩B is the intersection between two sets A and B
Given parameters
P(A)=15
P(A∪B)=1225
P(A∩B)=7100
Required
Probability of event B i.e P(B)
Using the expression above to calculate p(B), we will have;
p(A∪B) = p(A)+p(B) - p(A∩B)
1225 = 15+p(B)-7100
p(B) = 1225-15+7100
p(B) = 8310
Hence the missing probability p(B) is 8310.
So since both of these lines are solid lines and not dashed, that means that the inequalities will have either ≤ or ≥.
Starting with the vertical line, since every point on that line is (0,y), this means that this line is x_0. And since the shaded region on this line is to the left of this line, this means that this inequality is x ≤ 0.
Now with this next line, I'll be forming it using the slope-intercept form (y = mx+b, m = slope and b = y-intercept). From looking at the graph, we can tell that the y-intercept is (-5,0). To find the slope, the equation is . For this, the two points I'll be using are (-4,-8) and (8,1).
Our equation will look and be solved like this:
And since the region shaded is below the line, ≤ symbol will be used with our inequality.
Using the information above, our inequality is y ≤ 3/4x - 5.
In short, the system of inequalities is x ≤ 0 and y ≤ 3/4x - 5.