Answer: The inverse relation is { (-1, -8), (-1, -8), (-8, -2), (8, 2) }
The inverse is effectively the opposite of the original relation. It undoes what the original relation does. So we'll swap the x and y values for each given point in the form (x,y). Something like (8,-1) becomes (-1,8). The other points follow the same pattern as well.
Answer:
0.2839 = 28.93%
Step-by-step explanation:
In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z
Le x be tons of coal in a car
Z = (x – mean)/standard deviation
Z = (x – μ)/ σ
P (x<68.5) = P(z < (68.5-69)/0.9)
P (x<68.5) = P(z < -0.5555)
Then we use the z table to find the area under the curve.
P (x<68.5) = 0.2893
Answer:
12
Step-by-step explanation:
when + go to the other side it has to be -
w=16-4
=12
Answer:
Angle 1 = Angle 2 = 5y -23 (Vertically opposite)
We can see that we have a triangle in the figure
Since the sum of all angles of a triangle is 180,
<em>(2x + 13) + (47) + (5y -23) = 180</em>
<em>2x + 5y + 37 = 180</em>
<em>2x + 5y = 143</em>
5y = 143 -2x -----------------(1)
Assuming l and m to be parallel
<em>angle 1 = 3x (corresponding angles)</em>
<em>5y - 23 = 3x </em>
<em>From equation (1)</em>
<em>143 -2x - 23 = 3x </em>
<em>120 = 5x </em>
x = 24 ---------------------- (2)
Using (2) in (1)
<em>5y = 143 - 2(24)</em>
<em>5y = 143 - 48</em>
<em>5y = 95</em>
y = 19
Therefore,
x = 24
y = 19
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