Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
The probability that a part was manufactured on machine A is 0.3
Step-by-step explanation:
Consider the provided information.
It is given that Half of a set of parts are manufactured by machine A and half by machine B.
P(A)=0.5
Let d represents the probability that part is defective.
Ten percent of all the parts are defective.
P(d) = 0.10
Six percent of the parts manufactured on machine A are defective.
P(d|A)=0.06
Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective
:
Hence, the probability that a part was manufactured on machine A is 0.3
Left side goes up 5 right side goes up 7
The rate of change between 5,15 is 10
Do you mean scientific notation?
If so,
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
In order to write a number in scientific notation, I suggest you place the tip of your pencil right after the last digit in the number.
Then go backwards, counting each jump to the next number (this will be your exponent number).
You will go backwards until you reach your first NON-ZERO digit, which is where you will place the decimal point.
Multiply the decimal you now have by 10 (multiplying by 10 applies every time!) and then to the power of however many spaces you went back.
The solved problem is in the photo. Hope it helps.
