Answer:
There are 60 total questions on the course exam.
Step-by-step explanation:
Given that:
Number of questions finished by Jasmine = 12
Percentage shown on the bar = 20%
The total number of questions will be 100%, therefore, 20% of the questions are equal to 12.
Let,
x be the total number of questions on the course exam
20% of x = 12
Dividing both sides by 0.2
Hence,
There are 60 total questions on the course exam.
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
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<em>Additional comment</em>
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
F(m)=4m(3m-2)
f(m)=12(m^2)-8m
f(-3.3)=12(-3.3^2)-8(-3.3)
f(-3.3)=12(10.89)-(-26.4)
f(-3.3)=130.68+26.4
f(-3.3)=157.08
you have a 1/6 probability of rolling a 6
so for 3 6's it would be
1/6 x 1/6 x 1/6 = 1/216
