Answer:
21
Step-by-step explanation:
Hi there!
We are given the expression x(y-z), and we want to evaluate it if x=3, y=9, and z=2
As we're given the values of the variables, we can substitute those values into the expression to find out what the value of the expression is.
So substitute 3 as x, 9 as y, and 2 as z in the expression above
x(y-z)
3(9-2)
Now we must follow the order of operations; start by subtracting 2 from 9 (do the stuff inside the parentheses first)
3(7)
Now multiply 3 and 7 together
<u>21</u>
Hope this helps!
Answer:
(–5, –7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope = 9/5
Coordinate 1 = (–10, –16)
x₁ = –10
y₁ = –16
Coordinate 2 = (x₂, y₂)
Next, we shall determine the change in x and y coordinate. This can be obtained as follow:
Slope = change in y–coordinate / change in x–coordinate
Slope = Δy / Δx
Slope = 9/5
9/5 = Δy / Δx
Thus,
Δy = 9
Δx = 5
Next, we shall determine the second coordinates as follow:
Δy = y₂ – y₁
Δx = x₂ – x₁
For x–coordinate:
x₁ = –10
Δx = 5
Δx = x₂ – x₁
5 = x₂ – (–10)
5 = x₂ + 10
Collect like terms
x₂ = 5 – 10
x₂ = – 5
For y–coordinate:
y₁ = –16
Δy = 9
Δy = y₂ – y₁
9 = y₂ – (–16)
9 = y₂ + 16
Collect like terms
y₂ = 9 – 16
y₂ = – 7
Coordinate 2 = (x₂, y₂)
Coordinate 2 = (–5, –7)
Answer:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
Step-by-step explanation:
For this case we assume the following probability distribution:
X 5 6 7 8 9 10
P(X) 0.05 0.15 0.33 0.28 0.12 0.07
First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
In order to find the standard deviation we need to find first the second moment, given by :
And using the formula we got:
Then we can find the variance with the following formula:
![Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096](https://tex.z-dn.net/?f=Var%28X%29%3DE%28X%5E2%29-%5BE%28X%29%5D%5E2%20%3D57.46-%287.48%29%5E2%20%3D1.5096)
And then the standard deviation would be given by:
Answer:
12.48
Step-by-step explanation:
12*1.04=12.48
Plugging in the value "
" in the above expression, we have
<h3><u>Note</u>:-</h3>
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
