18x-16y=5
Subtract 18x from each side
-16y=-18x+5
Divide by -16
y=18/16x-5/16
y=9/8x-5/16 this one is with improper fractions
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
the probability of making a Type I error is equal to the significance level of power. To increase the probability of a Type I error, increase the significance level. Changing the sample size has no effect on the probability of a Type I error.
The electricity of a take a look at can be expanded in a number of methods, for example increasing the pattern length, reducing the standard errors, increasing the difference between the pattern statistic and the hypothesized parameter, or growing the alpha degree.
The chance of creating a kind I mistakes is α, that's the extent of importance you put for your hypothesis check. An α of 0.05 indicates which you are inclined to accept a five% chance which you are incorrect whilst you reject the null hypothesis. To lower this risk, you have to use a decrease cost for α
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Total cost of purchasing the car = $16,825 + 0.0719 x $16,825 + $1,128 + $190 = $19,352.72
Value of her previous car = 0.9 x $16,825 = $15,142.50
Amount being owed by Terry = $19,352.72 - $15,142.50 = $4,210.22
The present value of annuity is given by PV = P(1 - (1 + r/t)^-nt) / (r/t)
where P is the monthly payment, r is the rate = 10.59% = 0.1059, t is the number of periods in a year = 12, n is the number of years.
4,210.22 = P(1 - (1 + 0.1059/12)^-(5 x 12)) / (0.1059/12)
0.1059(4,210.22) = 12P(1 - (1.008825)^-60)
P = 445.862298 / 4.916774288 = 90.68
Amount of interest paid = 60(90.68) - 4,210.22 = 5440.80 - 4210.22 = $1230.58
Answer:
0.25
Step-by-step explanation:
Givens
orange: 75
Blue: 62
Green: 52
Red: x
Total: 252
Equation
75 + 62 + 52 + x = 252 Collect the like terms on the left.
Solution
189 + x = 252 Subtract 189 from both sides
x = 252 - 189
x = 63 Red Ones
Probability
P(Red) = 63/252
P(Red) = 0.25
