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❖ There are a total of 18 marbles.
In order to get 18, we have the ratio 2:1. 2 represents the blue marbles and 1 represents the red marbles. We now have 12 blue marbles in a box. 2 x 6 = 12 so we are multiplying by 6. What we do to one number, we do to the other so 1 x 6 = 6 . Add 12 + 6 = 18
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Let us take 0instead of 2.2 meaning 8.5-2.2=6.3
then we need to find the mid of 6.3=3.15
then we need to add 2.2 to 3.15= 5.35
Answer:
a) 91.4%
b) 37.6%
c) 26.8%
Step-by-step explanation:
For each of these, we'll get a z-score, then use our calculators to find the area using normalcdf (on TI-84, 2nd->VARS->2)
a) z = (9-6.4) / 1.9 = 1.368
normalcdf(-999,1.368) = .914 = 91.4%
b) z = (7-6.4) / 1.9 = .316
normalcdf(.316,999) = .376 = 37.6%
c) normalcdf(.316,1.368) = .268 = 26.8%
There is absolutely no correlation between the variables.
Answer:
h = 9
Step-by-step explanation:
Solve for h:
5 h - 2 ((3 h)/2 + 4) = 10
Put each term in (3 h)/2 + 4 over the common denominator 2: (3 h)/2 + 4 = (3 h)/2 + 8/2:
5 h - 2(3 h)/2 + 8/2 = 10
(3 h)/2 + 8/2 = (3 h + 8)/2:
5 h - 2(3 h + 8)/2 = 10
(-2)/2 = (2 (-1))/2 = -1:
5 h + -1 (3 h + 8) = 10
-(3 h + 8) = -3 h - 8:
5 h + -3 h - 8 = 10
Grouping like terms, 5 h - 3 h - 8 = (5 h - 3 h) - 8:
(5 h - 3 h) - 8 = 10
5 h - 3 h = 2 h:
2 h - 8 = 10
Add 8 to both sides:
2 h + (8 - 8) = 8 + 10
8 - 8 = 0:
2 h = 10 + 8
10 + 8 = 18:
2 h = 18
Divide both sides of 2 h = 18 by 2:
(2 h)/2 = 18/2
2/2 = 1:
h = 18/2
The gcd of 18 and 2 is 2, so 18/2 = (2×9)/(2×1) = 2/2×9 = 9:
Answer: h = 9
