Answer:
A(101) = 252
Step-by-step explanation:
Utilize the equation A(n) = A1 + (n-1)d
- n > the nth term
- A1 > first term in sequence (852)
- d > common difference (-6)
Plug in and simplify.
- A(n) = 852 + (n-1)(-6)
- A(n) = 852 - 6n + 6
- A(n) = - 6n + 858
Finally, plug in 101 for n.
- A(101) = - 6(101) + 858
- A(101) = - 606 + 858
- A(101) = 252
Chebyshev's theorem says that the probability that a random variable differs from its mean by some multiple of the standard deviation is bounded below as

Solve for <em>k</em> :

Then the theorem says

which is to say that 88.9% of the data will fall in the interval

or roughly corresponding to scores between 7.076 and 7.924.
Answer:
x = 10 m∠3 = 74
Step-by-step explanation:
(10x + 6) + (7x + 4) = 180 degrees
17x + 10 = 180
17x = 170
x = 10
check answer
(10(10) + 6) + (7(10) + 4) = 180
106 + 74 = 180
180 = 180
true!
angle 5 is vertical angles with 3, so they are congruent
use same equation as 5
7(10) + 4
70 + 4
74 :)
Answer:
ab= 7.8
ac= 6
bc=5
Step-by-step explanation: