Answer:
Option B:
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
Answer:
A simple way to mentally subtract is to simplify the numbers, subtract, then subtract or add for the simplified answer.
Step-by-step explanation:
A simple way to mentally subtract is to simplify the numbers, subtract, then subtract or add for the simplified answer. For this 304 - 81 is easier as 300 - 80. Make note that we took away 4 from 304 and 1 from 81. Now we just subtract mentally, and 300 - 80 = 220. If we took 4 from 304, this means that our answer should be 4 less, since 4 less would be 304 - 80 = 216. If we took 1 from 81, then we add 1 back to get the equation 304 - 81 = 217.
304 - 81 = ?
300 - 80 = 220
304 - 80 = 216
304 - 81 = 217
Answer:
If there are N students, the total cost will be:
C(N) = $500 + $5*N.
And we want the amount that each student pays to be equal or less than $15.
then:
C(N)/N ≤ $15.
Then the inequality that represents this situation is:
($500 + $5*N)/N ≤ $15.
Now, let's solve this:
($500 + $5*N) ≤ $15*N
$500 ≤ $15*N - $5*N
$500 ≤ $10*N
$500/$10 ≤ N
50 ≤ N
So the minimum number of students needed is 50.
So hmmm x²+6x+8=0
alrite.. let's do some grouping now
( x² + 6x + [?]²) + 8 = 0
notice above, we have a missing fellow in order to get a perfect square trinomial... hmm who would that be?
let's take a peek at the middle guy of the trinomial.. 6x.. hmmm let's factor it, 2*3*x, wait a minute! 2 * 3 * x... we already have x² on the left-side, since the middle term is just 2 * the square root of the other two terms, that means that the guy on the right, our missing guy must be "3"
alrite, let's add 3² then, however, bear in mind that, all we're doing is borrowing from our very good friend Mr Zero, 0
so if we add 3², we also have to subtract 3², let's do so
(x² + 6x +3² - 3²) + 8 = 0
(x² + 6x +3²) + 8 - 3² = 0
(x+3)²=3² - 8
(x+3)² = 1
