You just need to multiply 5 x 7 x 3 = 105 combination of outfits
Work backwards.
Start with z = 4.
Now deal with the middle equation
y + 3z = 11 Substitute z = 4 and solve for y
y + 3(4) = 11 Subtract 12 from both sides
y + 12 = 11
y + 12 - 12 = 11 -12 Combine terms on the left and right
y = - 1 Now use the top equation for x
z = 4 z still = 4
2x + 4(-1) +3(4) = 14
2x - 4 + 12 = 14 Solve 3z
2x + 8 = 14 Subtract 8
2x + 8 - 8 = 14 - 8 Combine
2x = 6 Divide by 2
x = 6/2
x = 3
Answer
x = 3
y = - 1
z = 4
Answer:
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Step-by-step explanation:
Answer:
A)σ_M = 1.2634
B) CI = (36.564, 41.516)
C) σ_M = 0.1151
Step-by-step explanation:
A) Formula for standard error is;
σ_M = σ/√n
We are given;
Mean; x¯ = 39.04
Standard deviation; σ = 11.51
Sample size; n = 83
Thus;
Standard error; σ_M = 11.51/√83
σ_M = 1.2634
B) formula for confidence interval is;
CI = x¯ ± z(σ_M)
z is critical value
At 95% Confidence interval, z = 1.96
Thus;
CI = 39.04 ± 1.96(1.2634)
CI = (39.04 + 2.476) and (39.04 - 2.476)
CI = (36.564, 41.516)
C) sample size is now increased to 10000
Thus,standard error is calculated as;
σ_M = 11.51/√10000
σ_M = 0.1151
