Answer:
Hope it helps!
Step-by-step explanation:
Sub y=5x into y=2x+3
so
5x=2x+3
3x=3
x=1
plug x=1 into y=5x
y=5
Checking work
Plug (1,5) into y=2x+3
5=2(1)+3
5=5
Plug (1,5) into y=5x
5=5(1)
5=5
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%
X/13
Quotient means divide. So you will make a fraction. On the top goes x and on the bottom is 13
Answer: 8.72
hoped this helped
