Answer:
120 degrees
Step-by-step explanation:
It's a vertical angle, meaning that it is congruent to the one on the opposite side of it.
Answer:
2x² - 14x + 24
Step-by-step explanation:
Use the FOIL method (First, Outside, Inside, Last).
First, multiply the first term of both parenthesis:
2x * x = 2x²
Next, multiply the outside terms of both parenthesis:
2x * -4 = -8x
Then, multiply the inside terms of both parenthesis:
-6 * x = -6x
Finally, multiply the last terms of both parenthesis:
-6 * -4 = 24
Combine like terms:
2x² - 8x - 6x + 24
2x² (-8x - 6x) + 24
2x² (-14x) + 24
2x² - 14x + 24 is your answer.
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Answer:
1 : 80
Step-by-step explanation:
So you want to check Length of model : Length of real boat
50 cm : 40 m
But since the units don't match, make 40 m into 4000 cm
50 cm : 4000 cm
Divide both sides by 50 and you get
1 : 80
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger.
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle).
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles
The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this context, is the number 415.9 a parameter or a statistic?
Answer: The number 415.9 is a parameter because it represents the population characteristic.
<u>Explanation:</u>
Parameter: Parameters are numbers that summarize the entire population. For example the population mean summarizes the entire population, similarly population standard deviation describes the characteristic of entire population.
Statistic: Statistic are numbers that describes the sample. For example, the sample mean summarizes the sample which is drawn from the population, similarly the sample standard deviation describes the characteristic of sample.
Therefore, the population mean length of the holes at the golf courses (415.9 yd) is parameter.
