The first one, the opposite of any negative number is the same number but positive...and vise versa.
Answer:
If 4 more kids came to the zoo with Liam and his two parents, and so did 4 more adults, the price they would pay would be:
5.3(5) + 10.7(6)
90.7
So, it would cost a total of $90.70 dollars for Liam, his two parents, four other friends, and four other parents, to come to the zoo.
Let me know if this helps!
Answer:
y = x - 1
Step-by-step explanation:
Find the slope:
(-4 - (-2))/(-3 - (-1))
-2/-2 = 1
y = x + b
Plug in one of the points:
(-1,-2)
-2 = -1 + b
b = -1
y = x - 1
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tanx = 
Consider the left side
← divide terms on numerator/denominator by cotA
= 
= 
= right side , thus proven
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.