Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
Sorry it's an exam. I wish that I could.
I sad I could not help you :(
Answer:
a) 0.373 probability that a randomly selected carton has a weight greater than 8.13 ounces
b) 0.097 probability that mean weight of 16 randomly selected carton is greater than 8.13 ounces
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8 ounces
Standard Deviation, σ = 0.4 ounce
We are given that the distribution of weights of ice cream cartons is a bell shaped distribution that is a normal distribution.
Formula:
a) P(weight greater than 8.13 ounces)
P(x > 8.13)
Calculation the value from standard normal z table, we have,
b) P(weight of 16 randomly selected cartons is greater than 8.13 ounces)
P(x > 8.13)
Calculation the value from standard normal z table, we have,
Answer:
its A I promise! good luck!
Answer:
Step-by-step explanation:
favorable success: 6/10
marbles: 200
So
P=Favorable cases/total cases
P=6(20)/10(20)
P=120/200
