For this case we have the following expression:
8 + 0 = 8
The sum has several properties.
One of them is the following one:
Neutral element: the sum has a neutral element that is 0. If you add 0 to any number the result is the same number.
Answer:
The property shown in the given expression is:
Neutral element.
Answer:
18
Step-by-step explanation:
-3(2x-3)
-3x(-6)
-3x-6=18 because the negatives cancel each other out.
A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...
... B. 7
2745
Step-by-step explanation:
solve it like simultaneously
180x+120y greater than 5145
180x+120y greater than 2400
eliminate x
y will now be greater than 2745
Answer:
c) Is not a property (hence (d) is not either)
Step-by-step explanation:
Remember that the chi square distribution with k degrees of freedom has this formula

Where N₁ , N₂m ....
are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.
Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true
The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.