9514 1404 393
Answer:
F HL
Step-by-step explanation:
No right angle is shown, so the HL theorem cannot be used.
Answer:
Step-by-step explanation:
L = 3*w + 1 Given
P = 2*(L + w) Formula for Perimeter. Substitute for L
P = 2*(3w + 1 + w) Combine
P = 2*(4w + 1)
P = 58 Given
58 = 8w + 2 Remove the brackets
58 - 2 = 8w Subtract 2
56 = 8*w Divide by 8
56/8 = w
7 = w
================
Find L
L = 3*w + 1
L = 3*7 + 1
L = 22
================
Check
2L + 2W = 58
2*22 + 2*7 =? 58
44 + 14 = ? 58
58 = 58
The answer checks.
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.
Answer:22
Step-by-step explanation: the smallest the other two can be is 1 so you have to multiply 8 with 3, that equals 24, then you have to subtract 2 (1+1) and that gives you 22.