Answer:
2. Side length =9
Step-by-step explanation:
A square has all sides equal. and it has 4 sides, so 36 divided by 4 =9.
3.x squared =6
answer is x=3
square root both sides.
It increases then decreases then becomes constant
Answer:
0.321 (Answer D)
Step-by-step explanation:
Note that the event "A and Y" happens 9 times. That's 9 times out of (6+9+8+5) outcomes, or 28 outcomes.
Hence, P(A and Y) = 9/28, or 0.321 (Answer D)
Answer:
a) 16%
b) 2.5%
Step-by-step explanation:
a)
The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).
To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%
b)
The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).
You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%