Answer: The probability of rolling a number greater than two is 5/6.
Step-by-step explanation:
So there are 12 possible outcomes for rolling a number greater than two since the die is numbered from 1 to 12.
And in all the numbers, 10 of which is greater than 2.
so you will divide 10 over the total outcomes.
10/12 = 5/6 or 0.833..
$7.20 per hour, 1.5*$7.20 = $10.80/hour for overtime
40*$7.20 + (44.5-40)*$10.80 = $336.60 in gross earnings
The complete question is
"which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33
Oa. The equation has a maximum value with a y coordinate of -27
Ob. The equation has a minimum value with a y coordinate of -21
Oc. the equation has a minimum value with a y coordinate of -27
Od. The equation has a maximum value with a y coordinate of -21"
The quadratic equation has the extreme value at the vertex with a y-coordinate of -21. so, the correct option is D.
<h3>What is a quadratic equation?</h3>
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given quadratic equation is
y=-3x^2+12x-33
x = -b/2a
For the given equation the vertex :
x = -12/2(-3) = 2
The value of y at x = 2 is:
y = -3(2²) + 12(2) - 33
y = -12 + 24 - 33
y = -21
The extreme is the maximum for the given equation.
The correct choice is D.
Learn more about quadratic equations;
brainly.com/question/13197897
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The slope is -5!
Explanation:
Start from the top point and you count down until you’re on the same line as the other dot. You should have counted down 5 and over 1. 5/1. The line is negative, therefore it’s -5!
This question is checking to see if you remember what the three angles
of any triangle always add up to. Apparently you don't, or you would not
need to go out looking for somebody who does.
The three angles inside every triangle always add up to 180° .
If two of them add up to 135° , then that leaves
(180° - 135°) = 45° .
for the one remaining angle.
