Answer:
Option d) is correct
That is x equals plus or minus start fraction 11 over two end fraction
Step-by-step explanation:
Given quadratic equation is 
To write the given quadratic equation by using a difference-of-squares factoring method:
The above equation can be written as
The above equation is in the form of difference-of-squares
Therefore the given quadratic equation can be written in the form of difference-of-squares
by factoring method is
(which is in the form 
)
2x+11=0 or 2x-11=0
or 
or 
Therefore option d) is correct
That is x equals plus or minus start fraction 11 over two end fraction
Solve for d: by simplifying both sides of the equation, then isolating the variable.
C. d>0
Answer:
8.4 cm
Step-by-step explanation:
The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.
Substitute:
tanx = opp/adj
tan35 = x/12
Multiply by 12 on both sides:
12(tan35) = (x/12)12
12(tan35) = x
Solve:
12(tan35) = x
8.4 = x
Answer:
There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.
Step-by-step explanation:
With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:
- n=4 (the amount of batteries picked for the sample).
- p=3/10=0.3 (the proportion of dead batteries).
- k≥1 (the amount of dead batteries in the sample needed to not sell the package).
The probability of having k dead batteries in the sample is:
Then, the probability of having one or more dead batteries in the sample (k≥1) is:
