Answer:
25
Step-by-step explanation:
As the triangles within the bigger triangle are similar, the sides are in proportion.
⇒ 
⇒ 
⇒ 3w = 75
⇒ w = 25
Answer:
a) 1/22
b) 3/44
c) 3/11.
Step-by-step explanation:
a).
Prob(picking a blue first) = 5/12.
Prob(picking a yellow next) = 4/11 ( as it is without replacement)
Prob(purple next) = 3/10
Probability of picking these in this order = 5/12 * 4/11 * 3/10
= 1/22 (answer).
Note the probabilities are multiplied because the 3 events are independent.
b)
Prob(all the same colour) = Prob(All are blue) + Prob(all are yellow) + Prob ( All are purple)
Prob(All are blue) = 5/12 * 4/11 * 3/10 = 1/22
Prob(all are yellow) = 4/12 * 3/11 * 2/10 = 1/55
Prob(all purple) = 3/12 * 2/11 * 1 /10 = 1/220
So probability there are all the same colour = the sum of the above
= 3/44 (answer).
c) I take this to mean that all 3 are a different colour.
This will be the number of combinations of blue, yellow and purple possible which is 3! = 6.
So the answer is 6 * 1/22 = 3/11.
It equals 78 add the two numbers in the parentheses the multiply by the out side number
There is nothing to solve for. You stated a constant function, where f(x) will always be 9.
Answer:
<h2>x - 3y = 6</h2>
Step-by-step explanation:
The Standard Form of an equation of a line:
We have the x-intercept and the y-intercept
x-intercept is for y = 0
y-intercept is for x = 0
Therefore we have two points: (6, 0) and (0, -2).
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
Calculate the slope:
Put it and the value of y-intercept <em>b = -2</em> to the equation of a line:
Convert to the standard form:
<em>multiply both sides by (-3)</em>
<em>add x to both sides</em>
