Answer:
Probability = 0.12676992
Step-by-step explanation:
The probability of selecting committee of seven composed of all Democrats.
Total number = 45+55= 100
Number of Democrats = 55
Number of committee = 7
Probability= (55C7)/(100/7)
Where C represent combination sign
Probability = (202927725/1.60075608*10^10)
Probability = 0.12676992
Answer:
The Answer is: y = 2x - 3
Step-by-step explanation:
Given points: (3, 3) and (4, 5)
Find the slope, m:
m = y - y1/(x - x1)
m = 3 - 5/(3 - 4)
m = -2/-1 = 2
Use the Point Slope form of the equation:
y - y1 = m(x - x1)
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 8 + 5
y = 2x - 3
Proof:
f(3) = 2(3) - 3
= 6 - 3 = 3, giving (3, 3)
Answer:
The first one would be m^30n^20p^30
And the second one would be a^2 / d^4
Step-by-step explanation:
For 1, you have to multiply the inner exponents by the outer one so you get (m^12n^8) times (m^18n^12p^30). Then you mutiply the two together, so you add the exponents, where you get m^30n^20p^30.
For 2, since you're dividing, you have to subtract the exponents so you get a^2d^-4, but since you shouldn't have the negative you turn it into a^2 / d^4
Hope this helps :)
9514 1404 393
Answer:
91°
Step-by-step explanation:
The similarity statement tells you that angles Q and H are congruent. The measure of angle H is shown as 91°, so that is the measure of angle Q.
m∠Q = 91°
Building time :
4c + 6a < = 120
testing time :
4c + 4a < = 100
20 child bikes and 6 adult bikes...c = 20 and a = 6
sub into both equations
4c + 6a < = 120
4(20) + 6(6) < = 120
80 + 36 < = 120
116 < = 120 (correct)
4c + 4a < = 100
4(20) + 4(6) < = 100
80 + 24 < = 100
104 < = 100 (incorrect)
ur answer : No, because the bike order does not meet the restrictions of 4c + 6a < = 120 and 4c + 4a < = 100
