Describe the correlation between highway mileage and engine size

Mathematics

1 answer:

german3 years ago

3 0

Answer:

As engine size increases, highway mileage decreases.

Step-by-step explanation:

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If f(×)=1/3×^2+5find f(-9)

Snezhnost [94]

Answer:

I think this is the answer

$f( - 9) = \frac{1}{3( - 9) {}^{2} } + 5 \\ = \frac{1216}{243} \\ = 5.0041$

5 0

3 years ago

A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is greater than the se

Alekssandra [29.7K]

Given:

A six-sided die is rolled two times.

To find:

The theoretical fractional probability that the first number is greater than the second number.

Solution:

If a six-sided die is rolled two times, then the total possible outcomes are 36.

S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

The outcomes where the first number is greater than the second number are

A = {(2,1), (3,1), (3,2), (4,1), (4,2), (4,3), (5,1), (5,2), (5,3), (5,4), (6,1), (6,2), (6,3), (6,4), (6,5)}

So, the favorable outcomes = 15.

Now, the theoretical fractional probability that the first number is greater than the second number is

$Probability=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$