Answer:
Hence the value for the mean is 80 and the standard deviation for the original sample is 8.
Step-by-step explanation:
Mean = 83-3 = 80.
Here the standard deviation didn't change = 8.
<em>The value of b is 14 and the value of c is 65</em>
<h2>
Explanation:</h2>
The quadratic function is a function of the form:

Here we know that the leading coefficient
so we reduce our equation to:

The roots are those values at which 
So:


So we have:

Finding c from (1):

<h2>Learn more:</h2>
Complex conjugate: brainly.com/question/2137496
#LearnWithBrainly
Answer:
The height of the equilateral triangle is 24 units
Step-by-step explanation:
In the question above, the unit of the side of the equilateral triangle is not given. If the complete question is:
Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units, then the length of each side is 16√3 units.
To find the height of the triangle, we use Pythagoras theorem
MP^2 + PO^2 = MO^2
Let MP^2 be x
x^2 + {(16√3)/2}^2 = (16√3)^2
X^2 + (256*3)/4 = 256*3
4x^2 + 768 = 768* 4
4x^2 + 768 = 3072
4x^2 = 3072-768
4x^2 = 2304
X^2 = 2304/4
X^2 = 576
x= √576
x = 24 units
Chance of topdecking an ace is 1/13
Answer:
12 movies
Step-by-step explanation:
If you do not rent any vidoes you will be charged $45 no matter what, so...
Movies + 45 = total charge
each movie is 1.99 and you owe (total charge) $68.88
equation:
1.99x + 45 = 68.88
-45 -45 (subtract 45 from each side to keep equation balanced)
1.99x = 23.88 (now divide both sides by 1.99 to get x alone)
x = 12
you rented 12 movies