Answer:
Option A. is the correct option.
Step-by-step explanation:
We have to get the simplified form of sin (.6x)-sin(.4x)
As we know the identity sinA- sinB = 2 cos(A+B)/2.sin(A-B)/2
We apply the identity in the given expression
sin(.6x)-sin(.4x) = 2 cos(.6x + .4x)/2.sin(.6x - .4x)/2
= 2 cos(x/2).sin(0.2x/2) = 2 cos(0.5x).sin(0.1x)
Therefore option A is the correct option.
Answer:
Step-by-step explanation:
The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.
((5-2)*180)/5=SPT
SPT=108
360-(108+90)=RPT
RPT=162
((n-2)*180)/n=162
162n=(n-2)*180
.9n=n-2
.1n=2
n=20
Answer:
Option B , D and E are correct.
Step-by-step explanation:
We set the denominator equal to zero to find the number to put in division box
So, if 3 is in the division box then the denominator will be
x-3 = 0 => x=3 is the root.
So, Option E is correct
2x^2-2x-12 ÷ x-3 = 2x+4 is correct.
because after division the result given is 2x+4 which is correct.
So, Option B is correct
x-3 is a factor of 2x^2-2x-12 because because when the term is divided we get the remainder 0.
So, Option D is correct
So, Option B,D and E are correct.
Answer:
22.2%
Step-by-step explanation:
The Program rating of a program is the percentage of TV households in an area that are tuned to a specific program during a specific time period.
The designated market area (DMA) of Boston has approximately 3 million television households.
Audience research shows that 45 percent of these households had their sets turned on during a particular Saturday evening.
45% of 3 Million = 0.45 X 3000000 = 1,350,000
Out of these 1,350,000, 300,000 households were watching Sports Stories.
Therefore, the program rating for Sports Stories in the Boston DMA is:
