Least Common Multiple is :
360
The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.
x² -3x +9/4 = (x -3/2)²
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If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
*swipe* that th sound of me stealin points tehe
Answer:
A and D and E
Step-by-step explanation:
Substitute the variable(in this case) <em>t</em> for 3, then use the order of operations to simplify(PEMDAS), which will give you 33 for both expressions. To see if two expressions are equivalent, you need to substitute the variable for an odd number AND an even number, so next, substitute the variable <em>t </em>for the number 6, which will give you 51 for both expressions. That means the expressions are equivalent
Hope this helps :)
P.S. Mark brainliest pls
Answer:
Step-by-step explanation:
a. Given p=0.15.
-The mean of a sampling proportion of n=5000 is calculated as:
-The standard deviation is calculated using the formula:
Hence, the sample mean is μ=750 and standard deviation is σ=0.0050
b. Given that p=0.15 and n=1000
#The mean of a sampling proportion of n=1000 is calculated as:
#-The standard deviation is calculated as follows:
Hence, the sample mean is μ=150 and standard deviation is σ=0.0113
c. For p=0.15 and n=500
#The mean is calculated as follows:
#The standard deviation of the sample proportion is calculated as:
Hence, the sample mean is μ=75 and standard deviation is σ=0.0160
