Answer:
a) There is a 66.7% chance that you were given box 1
b) There is a 80% chance that you were given box 1
Step-by-step explanation:
To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.
a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.
Box 1 = 1/10
Box 2 = 1/2
From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%
b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.
Box 1 = 1/10^2 = 1/100
Box 2 = 1/20^2 = 1/400
As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Your answer is C. 6.5!
If you need steps just tell me!
Hope this helped!
:)
Answer:
x= -24
Step-by-step explanation:
-1/4x-2/3x= -6+28
add -6 to 28 but since 6 is a negative its subtraction
-1/4x-2/3x=22
multiply all by 12
-3x-8x=264
add -3x to -8x
-11x=264
divide both sides by -11
x= -24
1 yard = 3 feet
F ( y ) = 3 y
F ( 10.5 ) = 3 yard * 10.5 feet / yard = 31.5 feet
Answer:
The output will be 31.5
