Come on now, Tayala !
What if I say to you:
"Start with 3 cows, take away 7 cows, and then add 14 cows. How many are there ?"
Don't let the little 't' scare you. It doesn't matter one bit what 't' really is. It can be
a number, a teacher, a tiger, or a teacup. Whatever it is, you start with 3 of them,
take away 7 of them, and then add on 14 of them. How many are there ?
Hint: If there are not ten of them, then go back and look at the cows again.
Answer:
a) Expected amount of the gambler's win = $0.209
b) SD = 2.26
c)P (X >1) = P(z >0.35) = 0.36317
Step-by-step explanation:
The probability of winning, p = 12/38 =6/19
Probability of losing, q = 1 -p = 1-6/19
q = 13/19
Win amount = $5
Loss amount = $2
a) Expected total amount of win = ((6/19)*5) - ((13/19)*2)
Expected total amount of win = 1.579 - 1.369
Expected amount of win, E(X) = $0.209
b) Standard Deviation for the total amount of the gambler's win
E(X²) = (6/19)*5² - (13/19)*2²
E(X²) = 5.158
SD = 2.26
c) probability that, in total, the gambler wins at least $1.
P(X >1)
μ = E(x) = 0.209
z = (1-0.209)/2.26
z = 0.35
P( X >1) = P(z >0.35)
P(z >0.35) = 1 - P(z <0.35)
P(z >0.35) = 1 - 0.63683
P(z >0.35) = 0.36317
You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
Answer:
The result will be smaller than 2.6s, 16% of the time.
Step-by-step explanation:
This is a normal distribution problem
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - xbar)/σ
x = the random value = 2.6 s
xbar = mean = the average = 3.4 s
σ = standard deviation = 0.8 s
z = (2.6 - 3.4)/0.8 = - 1
P(x < 2.6) = P(z < - 1) = 1 - P(z ≥ - 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159 = 16%
Answer:
A
Step-by-step explanation:
A cube has 6 sides
Only one side of the cube has 2 on it
The probability of getting 2 would be 1/6
Only one side of the cube has 6 on it
The probability of getting 6 would be 1/6
For both events to happen together
1/6 x 1/6 = 1/36
