((-3)^2)^3
The rule for raising and exponent to another exponent is:
(a^b)^c=a^(b*c) so:
((-3)^2)^3
(-3)^(2*3)
(-3)^6
The two 3s have different place values. The 3 on the left is in thousands place while the 3 on the right is in the ones place. we can also look at this vc by separating each digit ( 3000 + 400 + 50 + 3)
while the digits are the same, their place determines the value
Answer:
t = 16
Step-by-step explanation:
Hope this helped :]
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:
Slope = 1
Step-by-step explanation:
Slope = change in y/change in x
= (8-5)/(5-2)
=3/3