Answer:
12.) b = (2S/n) - a
13.) x = 1000 - 20y
Step-by-step explanation:
12.) *goal is to isolate b
S = n/2 (a + b)
S(2/n) = a + b
**multiply both sides by 2/n to get rid of n/2
(2S/n) - a= b
***subtract a from both sides to leave b alone on one side
13.) *goal is to isolate x
0.30x + 6y = 300
0.30x = 300 - 6y
** subtract 6y from both sides
x = (300 - 6y)/ 0.30
*** divide 0.30 from both sides to leave x bu itself
x = 1000 - 20y or -20y +1000
****300 ÷ 0.30 = 1000
-6 ÷ 0.30 = -20
Done!
1/8 + 1/6
= 1 x 3 + 1 x 4
——- ——
8 x 3 6 x 4
= 3/24 + 4/24
= 3 + 4
———-
24
= 7/24
The top side of the coin would be heads
Empirical rule can be used to estimate the number of values that lie with 1, 2 or 3 standard deviations of a Normally distributed population.
According to the empirical rule, 95% of the values lie within 2 standard deviations of the mean.
Total number of bulbs = n = 560
95% of n = 0.95 x 560 = 532
This means, 532 bulbs will lie within 2 standard deviations from the mean
Val because if we divide 10 by 4 to get the miles in one day, we would get 2.5, which is the same as 2 1/2. You could also multiply 2 3/5 by 4 and then compare it from there.