the horizontal distance ( x direction) from A to C is 7 units and
the vertical distance ( y direction) is 5 units
Applying Pythagoras' Theorem to the right triangle
AC² = 7² + 5² = 49 + 25 = 74, hence
AC =
= 8.6 units ( to 1 dec. place )
Answer:
24
Step-by-step explanation:
I think its 24 because 64÷20=40
A because you have to make 16/32 into 1/2, and 4/16 is not a half.
Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:

Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:

The probability of rolling a 4 in the three dices are as follows:

Compute the value of E [Z] as follows:


Thus, the value of E [Z] is 0.50.
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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