Answer: Option B, a linear relation.
Step-by-step explanation:
Let's analyze the points in the data:
the first 3 pairs are: (0,14.70) (10,19.03) and (20, 23.36)
We can see the differences between consecutive points and see if the relation is linear:
(10,19.03) - (0,14.70) = ( 10 - 0, 19.03 - 14.70) = (10, 4.33) now we need to see the quotient: 4.33/10 = 0.433
(20, 23.36) - (10,19.03) = (20 - 10, 23.36 - 19.03) = (10, 4.33), and the quotient is the same as before.
This means that the relation is a linear relation, where the slope os 0.433 and the x-intercept is 14.70, so the equation can be written as:
y(x) = 0.433*x + 14.70
Multiply both sides by 2
(2) 18 = x/2 (2)
the /2 (2) gets canceled out
so it's 36= x
Hope this helps
Answer:
P(Y = 0) = 0.09
P(Y = 1) = 0.4
P(Y = 2) = 0.32
P(Y = 3) = 0.19
Step-by-step explanation:
Let the events be:
Wednesday
Thursday
Friday
Saturday
Their corresponding probabilities are
Since = number of days beyond Wednesday that it takes for both magazines to arrive(so possible values are 0, 1, 2 or 3)
The possible number of outcomes are therefore
The values associated for each of the outcomes are as follows:
The probability mass function of is,
Use the slope formula.
Y2 - Y1 / X2 - X1
(3,1) (6,-5)
-5 - 1 / 6 - 3
-6 / 3
slope = -2
We need first to find the capacity of the paint tray
4 cms = 4/2.54 = 1.5748 inches
capacity of the tray = 14 * 10 * 1.5748 = 220.47 in^3
1 gallon = 231 in^3 so the overfill of paint will be 231 - 220.47 = 10.53 in^3
The last option is the correct one.