Answer: 130 ft
Step-by-step explanation:
a^2 + b^2 = c^2
Where a and b are the legs that form the right angle and c is the hypotenuse (the side directly opposite of the right angle)
50^2 + 120^2 = c ^2
2,500 + 14,400 = c^2
16,900 = c^2
Take the square root of 16,900 to get c.
C = 130
Hypotenuse length is 130
Answer:
x=7 DO=25 OG=35
Step-by-step explanation:
4x-3+2x+21=60 4(7)-3 2(7)+21
4x+2x -3+21 28-3=25 14+21=35
6x+18=60 DO=25 OG=35
60-18=42
6x=42
42/6=7
x=7
Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]
Answer:
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Step-by-step explanation:
We are given the following data in the question:
10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20
Formula:
where are data points, is the mean and n is the number of observations.
Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128
Empirical rule:
- According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
- About 68% of data lies within one standard deviation of the mean.
- About 95% of data lies within two standard deviations of mean.
- Arround 99.7% of data lies within three standard deviation of mean.
Thus, by empirical rule,
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Answer:
x = 6
∠B = 126
Step-by-step explanation:
∠A = ∠B through alternate interior angles
∠A = ∠B
8x + 78 = 2x + 114
8x - 2x = 114 - 78
6x = 36
x = 36 ÷ 6
x = 6
∠B = 2x + 114
2(6) + 114
12 + 114
= 126