Step-by-step explanation:
Taking sin²θ common in both numerator & denominator, We get :
<u>Hence</u><u>,</u><u> option</u><u> </u><u>(</u><u>a)</u><u> </u><u>2</u><u>/</u><u>3</u><u> </u><u>is </u><u>your</u><u> </u><u>correct</u><u> </u><u>answer</u><u>.</u>
Answer:
it is G anything else?
Step-by-step explanation:
Answer:
3y² + 8y + 4
Step-by-step explanation:
To multiply binomials (multiplying two equations that each have two terms), use FOIL. This means from each of the binomials, multiply the first terms, inside terms, outside terms, then the last terms. This helps you keep track that you have multiplied every term you need to.
Use FOIL twice in this expression because you are multiplying the first two binomials (2y-3) (y+2), multiplying two more binomials (y+5) (y+2)
, then adding them together.
(2y-3) (y+2) + (y+5) (y+2) Expand using FOIL twice
= (2y² + 4y - 3y - 6) + (y² + 2y + 5y + 10) Remove the brackets
= 2y² + 4y - 3y - 6 + y² + 2y + 5y + 10 Rearrange with like terms
= 2y² + y² + 4y - 3y + 2y + 5y - 6 + 10 Collect like terms
= 3y² + 8y + 4 Expanded answer
Like terms are terms that have the same variables and exponents.
There are three types of like terms in this question:
No variables
y
y² You only see them after expanding with FOIL
Since they are alike, then can be combined with adding or subtracting.
Answer:
The critical value that should be used in constructing the confidence interval is T = 1.316.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.316
The critical value that should be used in constructing the confidence interval is T = 1.316.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds
The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.