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%
Answer:
Step-by-step explanation:
As we know that from a theorem,
A greater angle of a triangle is opposite a greater side. Let ABC be a triangle in which angle ABC is greater than angle BCA; then side AC is also greater than side AB. For if it is not greater, then AC is either equal to AB or less.
As we have angle A =120 so it means the other 2 angles will be less than angle A , hence the opposite side to angle A is BC ,
Hence BC line is the longest line in triangle ABC
Answer:
Step-by-step explanation:
Pineapple:Sparkling water
3:2
A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.
B: 3 times as much punch, basically multiply by 3
3(3):2(3)
9:6 pineapple:water
2 (water) = 4 quarts 1=2 quarts
9(2)=18
B: 18 quarts
I don't understand your question.. Is this multiple choice or something else?
Answer:
3.53 km
Step-by-step explanation:
Let third day be X:
Second day: X - 0.98
First day: X - 0.98 + 1.37 = X + 0.39
X + X - 0.98 + X + 0.39 = 10
3X = 10.59
X = 3.53 kn
