Answer:
The answer to the question is;
The probability that there are exactly 4 successes or exactly 4 failures in the 13 rolls is .
Step-by-step explanation:
The probability of success = 1/2 =
probability of failure = 1/2
Since we have 4 success we then have 9 failures and the given probability can be solved as ₁₃C₄ × 1/2ⁿ×1/2¹³⁻ⁿ
Therefore we have
₁₃C₄ × 1/2⁴×1/2⁹ = 715/8192
That is the probability that there are exactly 4 successes or exactly 4 failures in the 13 rolls = 715/8192.
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.
In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.
x = -3
y = |-3 + 2| = |-1| = 1
x = -2
y = |-2 + 2| = |0| = 0
x = -1
y = |-1 + 2| = |1| = 1
x = 0
y = |0 + 2| = |2| = 2
x = 1
y = |1 + 2| = |3| = 3
x = 2
y = |2 + 2| = |4| = 4
x = 3
y = |3 + 2| = |5| = 5
<u> x ║ y</u>
-3 1
-2 0
-1 1
0 2
1 3
2 4
3 5
Obtaining the graph shown in the image attached.
.
The equation (1) is divided by 2 to create new equivalent system of equations.
Step-by-step explanation:
The given systems of equations are:
Considering 8y instead of 8 in eq(1)
We need to identify what action was completed to create this new equivalent system of equations?
Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e
While second equation is same as given.
So, The equation (1) is divided by 2 to create new equivalent system of equations.
Keywords:System of Equation
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