Answer:
0.05155 or 5.155%
Step-by-step explanation:
We are given;
Weight of passenger cars the ferry can accommodate = 79 tons of passenger cars
Number of cars loaded = 39
Thus;
population mean weight; μ = 1.9
Since it can accommodate 79 tons of passenger cars, then their average weight should not exceed;
79/39 = 2.03 thus;
Sample mean; x¯ = 2.03
Standard deviation; σ = 0.5
Sample size; n = 39
Let's find the z-score value;
z = (x¯ - μ)/(σ/√n)
Thus;
z = (2.03 - 1.9)/(0.5/√39)
z = 0.13/0.08
z ≈ 1.63
Thus; P(z > 1.63) = 1 - P(z < 1.63)
From the z-score table attached, the p-value which is the probability is P(z < 1.63)
Thus;
P = 1 - 0.94845
P = 0.05155 or 5.155%
You started with nothing: 0
He gave you 8: +8
You spend 6: -6
He gave you 5 more: +5
0 + 8 - 6 + 5 = 7 dollars left to spend.
Answer:
4+6i
Step-by-step explanation:
Distribute the 2 to the 3i
You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.
It's a complex imaginary number
Answer:
y = 23
Step-by-step explanation:
Assuming the equation not below is y = mx + b form...
m = 4
x = 3
b = 11
y = 4(3) + 11
y = 12+ 11
y = 23
Answer:
114
Step-by-step explanation:
You would add 46 degree and 20 degrees (66) and subtract (180 - 66 = ?) to get your answer.