Answer:
a) 0.0476
b) 0.1471
c) 0.2252
d) 0.2275
e) 0.1706
f) 0.1013
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either they are defective, or they are not. This means that we solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
There are 100 bulbs, so .
3% are defective, so .
a) 0
b) 1
c) 2
d) 3
e) 4
e) 5
Step-by-step explanation:
Remember to isolate the variable for each question. Note the equal sign, what you do to one side, you do to the other.
1) 4 + x = 8
Subtract 4 from both sides
4 (-4) + x = 8 (-4)
x = 8 - 4
x = 4
D) x = 4 is your answer
2) -2x ≤ 6
Note that when dividing or multiplying a negative number, you must flip the sign. Isolate the variable (x).
(-2x)/-2 ≤ (6)/-2
x ≥ 6/-2
x ≥ -3
A & B are the same, so you'll have to ask the teacher which one was supposed to have a negative 3
3) Remember to do the opposite of PEMDAS. First subtract, then multiply. Again, isolate the variable (x).
x/2 + 3 = 5
x/2 + 3 (-3) = 5 (-3)
x/2 = 5 - 3
x/2 = 2
(x/2)(2) = 2(2)
x = 2 * 2
x = 4
A) x = 4 is your answer
4) Remember to do the opposite of PEMDAS. First subtract, then divide. Again, isolate the variable (x).
7x + 6 = 20
7x + 6 (-6) = 20 (-6)
7x = 20 - 6
7x = 14
(7x)/7 = (14)/7
x = 14/7
x = 2
D) x = 2 is your answer
5) You are solving for x. Note that there are two variables, however, you don't need to worry too much about the second variable (<em>a</em>), just know that you cannot combine (using addition or subtraction) a number with variable and a constant (a number without).
First, subtract 8a from both sides:
2x + 8a (-8a) = 10 (-8a)
2x = 10 - 8a
Next, divide 2 from both sides to isolate the variable (x):
(2x)/2 = (10 - 8a)/2
x = (10)/2 (-8a)/2
x = 5 - 4a
D) x = 5 - 4a is your answer
~
The closed to the answer is C
Answer:
20 hours
Step-by-step explanation:
20x20