Answer:
x = 12
Step-by-step explanation:
x - 5 = 84/x
x² - 5x = 84
x² - 5x - 84 = 0
x = (5 ±√(5² - 4(1)(-84))) / 2
x = (5 ± 19) / 2
x = -7 ignore
x = 12
Answer:
0.1 miles per minute
Step-by-step explanation:
The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:
(4.5 mi)/(45 min) = 0.1 mi/min
Answer:
B
Step-by-step explanation:
This is because You would still have the Y value as the answer. When you raise a function to the 0 power you will ultimately get on. In this only the coefficient is being raised rather than the whole system.
Answer:
The probability is 1/8
Step-by-step explanation:
In this question, we are tasked with calculating that if a coin is flipped three times, we have the outcome in the question; THH
Now before we go on to calculate this probability, we need to understand some technicalities. Flipping a coin can only result into two outcomes as there are only two sides of a coin. These are the head and the tail. What this means is that if a coin is flipped, we should only expect landing on the head and on the tail.
Now these opposite sides have equal probability. This means the probability of landing on the head = probability of landing on the tail. These probabilities are equal as they are the only two options we have. Hence, the probabilities are 1/2 each
Hence, P(H) = P(T) = 1/2
Now, we proceed to calculating the probability of HTT
this mathematically means P(H) * P(T) * P(T) = 1/2 * 1/2 * 1/2 = 1/8
