Answer:
5 radical 3
Step-by-step explanation:
b = √c2 - a2
= √102 - 52
= √75
= 8.66025 = 5√3
Answer:
26
Step-by-step explanation:
2+4(2+4)
=2+(4)(6)
=2+24
=26
Question:
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 97% , how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 18 years.
Answer:
61.03
Step-by-step explanation:
Given:
Standard deviation = 18
Sample estimate = 5
Confidence level = 97%
Required:
Find sample size, n.
First find the Z value. Using zscore table
Z-value at a confidence level of 97% = 2.17
To find the sample size, use the formula below:





Sample size = 61.03
Choice A is true. This is the Pythagorean identity. One of the most fundamental trig identities you should memorize.
Choice B is false. Let A = 60 and B = 30 and you'll see the left hand side turn into 0.5 while the right hand side turn into -0.5
Choice C is true. This is a variation of the identity tan^2+1 = sec^2 (just subtract tan^2 from both sides)
Choice D is true as this is a more complicated variation of 1+tan^2 = sec^2
Answer:
60x + 42y
Step-by-step explanation:
6(10x + 7y)
Use distribute property and multiply 6 to everything inside the parenthesis:
6 x 10x = 60x
6 x 7y = 42y
SO, 60x + 42y is the correct answer