For the first question, the chance of rolling a six is a 1/6 chance because there is one six and six different sides that could be rolled. As a percent, it would be 16.6 %. The probability of rolling an odd number on the second roll would be a 3/6 chance, which as a percent is 50 %. For the second question, both probabilities are 33 % because in both instances you are drawing three cards from nine total, so it would be 3/9. For the third question, the probability of drawing a blue marble is 3/5, because there are three blue marbles and five total marbles. As a percent, this is 60 %. Following this up with a green marble would be 2/4, because there are now 2 green marbles and four total marbles. One of the marbles was not replaced, so we have one less marble. 2/4 as a percent is 50%.
Answer:
1 5/6
Step-by-step explanation:
first convert to /12 and put the wholes in the fraction:
6 3/4 = 81/12
4 11/12 = 59/12
Then perform the subtraction
81/12 - 59/12 = 22/12
... and simplify
22/12 = 11/6
separate the wholes
11/6 = 6/6 + 5/6 = 1 5/6
Answer: the top of the ladder is at 24 feet from the ground
Step-by-step explanation:
Use the Pythagorean theorem to solve for the unknown, since we notice that the ladder is the hypotenuse of a right angle triangle formed by the horizontal distance from the wall to the base of the ladder, and the height of the top of the ladder against the wall. We need to find one of the triangle's sides given its hypotenuse and the other side, so we use the formula:
Answer:
B
Step-by-step explanation:
f(x) - g(x)
= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL
= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1
= 2x² - 4x - 3 - x² + 16 ← collect like terms
= x² - 4x + 13 → B
