Answer:
z<2
Step-by-step explanation:
-2(z + 5) + 20 > 6
Subtract 20 from each side
-2(z + 5) + 20 -20 > 6-20
-2(z + 5) > -14
Divide each side by -2 remembering to flip the inequality
-2/ -2(z + 5) < -14/-2
z+5 < 7
Subtract 5 from each side
z+5-5 < 7-5
z<2
Considering that the subjects are chosen without replacement, they are not independent, and the probability cannot be found using the binomial distribution.
The binomial distribution and the hypergeometric distribution are quite similar, as:
- They find the probability of exactly x successes on n repeated trials.
- For each trial, there are only two possible outcomes.
- The difference is that the binomial distribution is for independent trials, that is, in each trial, the probability of success is the same, while the hypergeometric distribution is for dependent trials.
- If the sample is without replacement, the trials are not independent, thus the hypergeometric distribution is used, not the binomial.
A similar problem is given at brainly.com/question/21772486
Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Step-by-step explanation:
You know that the first equation is:
And the second equation is:
According to the Addition property of equality:
If 
; then 
Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:
Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.
If you want to verify this, you can solve for "x" from both equations:
- First equation:
- Second equation:
X 3/5 =2x+15=2x=15-2x=13
answer 13
Answer:
$45
Step-by-step explanation:
Here we need to calculate the income of this year.
We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:
51 * $615 = $31,365
So, our surplus will be our income minus our expenses:
Surplus = $31,365 - $31,320 = $45
Our cash surplus is $45
