Kala drove 250 miles using 9 gallons of gas. at this rate how many gallons of gas would she need to drive 275 miles
1 answer:
Answer:
9.9 gallons
Step-by-step explanation:
To solve this problem, we need to cross multiply. Lets input the values (250, 275, 9) as shown below:
Next we cross multiply. We multiply 250 and x, and we multiply 9 and 275.
Now, lets put the values above back into the equation:
Lets solve this equation. First we divide 2,475 by 250, making x by itself.
This means that to drive 275 miles, Kala would need to use 9.9 gallons of gas.
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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.