1. all functions are relations.
2.
-7 + 3(-12) ÷ (-3)
-7 - 36 ÷ -3
-7 - (-12)
-7 + 12
5
3.
f(n) = n² - n f(-4)
f(-4) = -4² - (-4)
f(-4) = 16 - (-4)
f(-4) = 16 + 4
f(-4) = 20
hope this helped, God bless!
Answer:
a) 
b) n = 381
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
a. Assume that nothing is known about the percentage of computers with new operating systems. n = ?
When we do not know the proportion, we use
, which is when we are going to need the largest sample size.
The sample size is n when M = 0.01.






b. Assume that a recent survey suggests that 99% of computers use a new operating system. n = ?
Now we have that
. So






Rouding up
n = 381
Answer:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is ≈ 1.8
The critical z-score is 1.28
we fail to reject the null hypothesis H0: μ ≤ 34
Step-by-step explanation:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is calculated using the formula:
z=
where
- X is the average class size found in the sample (35.6)
- M is the mean according to the null hypothesis (34)
- s is the standard deviation for class size (9)
then z=
≈ 0.18
The critical z-score is 1.28 for α=0.10 (one tailed)
Because the test statistic is less than the critical value, do not reject the null hypothesis.
-x + 2y = 6 then x = 2y - 6
6y = x +18 then x = 6y - 18
-----------------------substract
0 = -4y + 12
4y = 12
y = 3
-x + 2y = 6
-x + 2(3) = 6
-x = 6 - 6
x = 0
answer: x = 0 (second choice)
They are congruent if they are bisected at their midpoint