Answer:
x = 15
Step-by-step explanation:
Cameron started with 20 pieces of gum and gave away x number of pieces.
Cameron = 20 - x
Connor started with 35 pieces of gum and gave away twice as many as Cameron did.
Connor = 35 - 2x
Equate both Cameron and Connor expression
20 - x = 35 - 2x
Collect like terms
20 - 35 = -2x + x
-15 = -x
Divide both sides by -1
15 = x
x = 15
Check:
Cameron = 20 - x
= 20 - 15
= 5
Connor = 35 - 2x
= 35 - 2(15)
= 35 - 30
= 5
Answer:
∠TUX and ∠WXU
Step-by-step explanation:
Alternate interior angles are angles that lie on the inside of the parallel lines, but different sides.
∠TUX is on the left side.
∠YXU is on the right side.
Therefore, ∠TXU and ∠WXU are alternate interior angles.
Answer: {y/y>-4}
Step-by-step explanation:
Assuming x is the hours each car has driven,
54x+56=52x+70
2x+56=70
2x=14
x=7
7 hours
52(7)+70
364+70
434 units (miles, yards, etc.)
Answer: (a)0.8145
(b) 0.99951875
Step-by-step explanation:
Binomial probability formula to find the probability of getting success in x trials :-
, where n is the total number of trials and p is the probability of success in each trial.
Given : The probability that the electronic production line yields satisfactory parts =0.95
The number of parts tested = 4
(a) The probability that all parts tested are satisfactory:-
(b) The probability that at least two parts are satisfactory :-