Answer:
-9df^3 - 3f^3 - 7d^2 - 8d - 15625
Step-by-step explanation:
Answer:

Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

2) Multiply both sides by 27^x - 8.

3) Use the product rule: x^a x^b = x^a+b.

4) Simplify 1 + x - 8 to x - 7.

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

6) Use Change of Base Rule.

7) Use rule of 1: log 1 = 0.

8) Simplify 0/log_27 to 0.

9) Add 7 to both sides.

10) Switch sides.

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>
Answer:
Because we don't know the exact shape of the population distribution since they are not Normally distributed and they are also not very non-Normal
Step-by-step explanation:
We are given;
Population standard deviation;μ = 200
Population standard deviation; σ = 35
Sample size; n = 30
We are told that the weights are not Normally distributed and they are also not very non-Normal. Therefore it means we don't know the exact shape of the population distribution and as such we can't calculate the probability that a randomly selected passenger weighs more than 200 pounds.
Answer:
216°
Step-by-step explanation:
Both chords are the same length, so the left and right arcs are both 72°. The whole circle is 360°, so:
72° + 72° + x = 360°
x = 216°
Bicycle has 2 wheels and 2 pedals
tricycle has 3 wheels and 2 pedals
EQ 1 : 2b + 2t = 170 pedals
EQ 2: 2b +3t = 206 wheels
subtract EQ 1 from EQ 2
2b +3t = 206 - 2b + 2t = 170 = t=36
there were 36 tricycles
36 x 2 = 72 pedals
170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles
36 Tricycles and 49 bicycles