Answer:
No.
Step-by-step explanation:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.
I agree with the author. By using the metric system we know the exact amount of a medicine we took, whether it's in mg or mL. This way every doctor can prescribe the same amount.
If we were using some other units this may not be the case. For example, british and american inch were different until 1950's.
Example: if you go to a surgery and a doctor needs to cut "1 inch from the left part" it may cause a mistake as this unit is different in different countries. But if he needs to cut "2.5 cm from the left part" he knows exactly where to cut.
Another benefit of using metric system is that it is being used in almost every country in the world.
Answer:
The center is at (-3, -2) and the radius = 1.
Step-by-step explanation:
We can do this by converting the given equation to standard form.
x^2+6x+y^2+4y+12=0
x^2+6x+y^2+4y = -12
Completing the square on the x and y terms:
(x + 3)^2 - 9 + (y + 2)^2 - 4 = -12
(x + 3)^2 + ( y + 2)^2 = -12 + 9 + 4
(x + 3)^2 + ( y + 2)^2 = 1
So the center is (-3, -2) and the radius = 1.
To get the variance, start with finding the mean of your data points:
(23 + 19 + 22 + 30 + 28) / 5 = 24.4
Now take each data point and subtract the mean from it, then square that value:
23 - 24.4 = -1.4 * -1.4 = 1.96
19 - 24.4 = -5.4 * -5.4 = 29.16
22 - 24.4 = -2.4 * -2.4 = 5.76
30 - 24.4 = 5.6 * 5.6 = 31.36
28 - 24.4 = 3.6 * 3.6 = 12.96
Now get the average of those new numbers. That is your variance:
(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24
The standard deviation will be the square root of the variance:
√(16.24) = 4.0299 (rounded to 4DP)
Answer:
d. A hypothesis is derived from the evidence at hand; the evidence produces the hypothesis.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The evidence suggests that a certain hypothesis is tested for its reliability. The hypothesis is accepted or rejected on the basis of its underlying evidences.
