-4(7a+5)= —160
distribute the -4 on the left hand side
-4* 7a + -4*5 = -160
-28a +-20 = 160
-28a -20 = -160
add 20 to each side
-28a-20+20 = -160 +20
-28a = -140
divide by -28 on each side
-28a/-28 = -140/-28
a = 5
Answer: a=5
Answer:
she has a 4/10 chance she will pick purple bow or 2/5. 40% chance.
Step-by-step explanation:
<span>Since they are playing in the space, gravity or the lack of it plays a huge role here. When the first astronaut throws the second astronaut toward the third one and due to the force exerted they would be moving in the opposite direction and there won't be any catch. Hence the game does not continue after the first throw.</span>
Answer:
0.9375
Step-by-step explanation:
Given the following :
Number of coin tosses = 7
Probability that number of heads obtained will be between 2 and 7 inclusive?
x = 2,3,4,5,6,7
Probability (P) = number of required outcomes / total possible outcomes
For a coin toss = 1 Head (H), 1 tail (T)
P(H) = 1 / 2
P(X) = C(7,x) * (1/2)^7
P(X) = C(7, x) / 0.5^-7
P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128
P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128
P(X) = 120 / 128
P(X) = 0.9375
