Answer: 500
Step-by-step explanation:
(8)^3 - 12
512-12 = 500
Answer:
At least 75% of these commuting times are between 30 and 110 minutes
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
In this question:
Mean of 70 minutes, standard deviation of 20 minutes.
Since nothing is known about the distribution, we use Chebyshev's Theorem.
What percentage of these commuting times are between 30 and 110 minutes
30 = 70 - 2*20
110 = 70 + 2*20
THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes
One revolution also corresponds to an angular displacement of 2π rad.
So, the angular velocity is
120 rev/min = (120 rev/min) * (2π rad/rev) = 240π rad/min
Answer:
The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb
The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528
22a + 22b + 22c = 528
a + b + c = 528/22
a + b + c = 24 The only option of three different digits with the sum of 24 is 7, 8 and 9.
Hope this helps, stay safe, and merry christmas!
Step-by-step explanation:
1. cos x sec x
Secant is the inverse of cosine.
= cos x (1 / cos x)
= 1
2. sin x csc x
Cosecant is the inverse of sine.
= sin x (1 / sin x)
= 1