Answer:
Step-by-step explanation:
The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.
FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.
(2x+5)(x-2)
The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:
2x^2 - 4x +5x - 10
Combine like terms:
2x^2 + x - 10
The third option is the correct answer.
we can see that
semicircle is cut off from a rectangle
Area of rectangle:
length =8
width =14
area =length*width
Area of semicircle:
diameter=8
so, radius =4
now, we can find resultant area
so, option-C..........Answer
Answer:
40/3087
Step-by-step explanation:
First, we need to count the number of each type of numbered ball.
Ball Counts: 1 - 5 balls; 2 - 2 balls; 3 - 1 ball; 4 - 2 balls; 5 - 4 balls; 6 - 3 balls; 7 - 1 ball; 8 - 2 balls; 9 - 1 ball, there are then a total of 21 balls
Next, you need to find the probability of each event.
Get less than 4
p(<4) = (5+2+1)/21
p(<4) = 8/21
Get less than 2
p(1) = 5/21
Get exactly 6
p(6) = 3/21
p(6) = 1/7
Next, we need to find the probability of all three events by multiplying the probabilities together.
p(all three) = (8/21)*(5/21)*(1/7)
p(all three) = 40/3087
The probability of all three events occurring is 40/3087.
