Answer:
120
Step-by-step explanation:
If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...
720/6 = 120 different combinations of roller coasters
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This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...
nCk = n!/(k!(n-k)!)
10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120
Answer:
- parallelogram
- x = 5
- 60 units
Step-by-step explanation:
A. Opposite sides are the same length, so the figure is a parallelogram.
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B. Diagonals of a parallelogram cross at their midpoints, so ...
9x +3 = 10x -2
5 = x . . . . . . . . add 2-9x to both sides
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C. The longer side is 12x = 12(5) = 60 . . . . units
Answer:
Option C is correct.
The test statistic for this question is -3.13
Step-by-step explanation:
To compute the z-test statistic, the formula is given as
z = (x - μ₀)/σₓ
x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15
μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20
σₓ = standard error of the sample proportion = √[p(1-p)/n]
p = 0.15
n = Sample size = 500
σₓ = √[0.15×0.85/500] = 0.01597
z = (0.15 - 0.20) ÷ 0.01597
z = -3.13
Hope this Helps!!!
25-4x=16-4x
25-4x+4x=16-4x+4x
25=16
No solution
Contradiction
