Answer:
x = 10
Step-by-step explanation:
1st Divide both sides by 2: x2 ÷ 2 = 20 ÷ 2
2nd Simplify: x = 10
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Construct a probability mass function (pmf) for x, the dollar amount won by a contestant in this game is 1/18.
What is a probability math example?
- Probability is the measurement of how likely something is to happen.
- As an example, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.
- We write P(heads) = 12 here. The four most popular approaches to probability are axiomatic, classical, empirical, and subjective.
from above total number of chips =4+6+5+2+1 =18
hence Probabilty of win 0 P(0)=4/18
P(1) =6/18
P(5) =5/18
P(10) =2/18
P(100)=1/18
x P(x) xP(x)
0 0.22 0.00
1 0.33 0.33
5 0.28 1.39
10 0.11 1.11
100 0.06 5.56
8.39
therefore expeted value =8.39
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Answer: the amount of interest that she would earn is $192.
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount of money deposited.
R represents interest rate on the deposit.
T represents the duration of the deposit in years.
From the information given,
P = $800
R = 4%
T = 6 years
Therefore,
I = (800 × 4 × 6)/100
I = $192
x-coordinates for the maximum points in any function f(x) by f'(x) =0 would be x = π/2 and x= 3π/2.
<h3>How to obtain the maximum value of a function?</h3>
To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
we want to find x-coordinates for the maximum points in any function f(x) by f'(x) =0
Given f(x)= 4cos(2x -π)
In general 
from x = 0 to x = 2π :
when k =0 then x = π/2
when k =1 then x= π
when k =2 then x= 3π/2
when k =3 then x=2π
Thus, X-coordinates of maximum points are x = π/2 and x= 3π/2
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Hi! So for quadratics, anything that is inside the parentheses with x is considered a shift left or right. Since it is a negative 7, the graph is shifted 7 units to the right to make up for the y values.
