9514 1404 393
Answer:
Step-by-step explanation:
Let 'a' and 'e' represent Alvin's and Elga's ages, respectively.
a = e-12 . . . . . Alvin is 12 years younger
a + e = 86 . . . the sum of their ages is 86
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Substituting for 'a' gives ...
(e -12) +e = 86
2e = 98
e = 49
a = 49 -12 = 37
Alvin is 37; Elga is 49.
To solve this problem, we just need to set up a simple equation. We have that angles 1 and 2 add up to equal a right angle, or 90°, and that m<2 is 35°, so we just have to do a bit of subtraction.
<1 + <2 = 90 Given
<1 + 35 = 90 Substitute 35 for <2
<1 = 55° Subtract 35 from both sides to get rid of it, since subtraction is the opposite of addition.
Therefore, m<1 = 55°.
Hope this helps!
Answer:
There is a 82% probability that th esample mean annual sales per square foot is at least $384.
Step-by-step explanation:
We have a population with mean 390 and standard deviation 45.83.
Samples of size n=49 are taken.
The parameters of the sampling distribution are:
First, we have to calculate the z-score that satisfies:
This z-score, looked up in a standard normal distribution table, is z=-0.915.
Then, we can calculate the sample mean as:
There is a 82% probability that th esample mean annual sales per square foot is at least $384.
So, what we do here is divide 70 / 6.5
70 / 6.5 = 10.7692308 (approximately). Then, multiply this number by 8
10.7692308 x 8 = 86.15 (approximately). So, C. 86.15 is the correct answer!
3pi/2. The unit circle is 2pi
