Answer:
3rd answer EF = 2√13
Step-by-step explanation:
Make a right triangle and use Pythagorean theorem a²+b² = c²
Go from point F 6 units down till point (1,-3) .From that point go 4 units left till you hit point E.
Triangle has legs a and b that are 6 and 4 units long so 6² + 4² = EF²
36 + 16 = 52
EF² = 52 find √52
EF = √52
There is no √52 as a whole number so rewrite 52 as a product of number who was a √ and the other who doesn't have a √
52 = 4 * 13
EF = √4 * √13 = 2√13
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
-2 -2
3x = 9
÷3 ÷3
x = 3
Answer:
1020 new students per year.
Step-by-step explanation:
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.