One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
Answer:
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.
Answer:
B (1 , 3) , D (1 , -2)
Step-by-step explanation:
∵ A (-3 , 3) , C (-3 , -2)
∵ They have the same x-coordinate
∴ AC is a vertical segment its length = 3 - -2 = 5
∵ The area of the rectangle = 20
∴ The width of it = 20 ÷ 5 = 4
∴ x-coordinate of B: -3 + 4 = 1
∴ y-coordinate of B : 3 ⇒ AB horizontal segment
∴ B (1 , 3)
∵ x-coordinate of BD is 1 ⇒ BD is vertical segment
∵ y-coordinate = 3 - 5 = -2
∴ D (1 , -2)
Answer:
(2,3)
Step-by-step explanation:
The answer to the question is 90
