The slope is -2 because y = mx + b
y-y₁ = m (x-x₁)
y - 3 = -2 (x-0)
y - 3 = -2x
y = -2x + 3
5) Step-by-step solution:
Step 1 of 2
Write the numbers (other than dates) in this statement in scientific notation.
The mass of Pluto, the smallest planet, is 0.0021 times that of Earth; The mass of Jupiter, the largest planet, is 317.83 times that of earth.
The first number is 0.0021.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.
The original number (0.0021) was small so the exponent will be .
Therefore, the scientific notation is .
Step 2 of 2
The second number is 317.83.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.
The original number (317.83) was large so the exponent will be .
Therefore, the scientific notation is .
6) Simply move the decimal point 16 places to the right of where it currently is.
9.803 moved three times = 9803.
Then just add 13 zeroes (because 16 minus those first three = 13) to 9803, giving you a final result of 98030000000000000. Then if you wanted to make it pretty on your eyes with commas, it would be 98,030,000,000,000,000.
There are only two possible outcomes in the table that satisfy <em>x</em> ≤ -3; either <em>x</em> = -5 or <em>x</em> = -3. Then
P(<em>x</em> ≤ -3) = P(<em>x</em> = -5) + P(<em>x</em> = -3) = 0.17 + 0.13 = 0.3
