Answer: (43) 16
(44) y = -(9/4)x = 6
(45) parallel: y = 2x - 4
perpendicular: y = -(1/2)x - 5/2
<u>Step-by-step explanation:</u>
43) f(x) = (1/3)x + 8
f(-12) = (1/3)(-12) + 8
= -4 + 8
= 4
3f(-12) = 3(4)
= 12
3f(-12) + 4 = 12 + 4
= 16
44) slope (m) =
45) parallel is same slope → m = 2
perpendicular is opposite reciprocal slope →
parallel
perpendicular
Answer:
<u>a) A simple random sample of 340 employees</u>
<u>b) a) Cluster sample </u>
Step-by-step explanation:
a) <em>Remember</em>, the sample size of most research work is a factor to consider in other to determine if the data collected represents the true percentage of the entire population.
Hence, a small random sample of 34 employees will not give more precise information than a larger sample of 340 employees because the larger sample contains more representation of the population.
b) A cluster sample is best used in this case because it involves<u> dividing the population into several clusters or groups,</u> then the researcher r<u>andomly selects a particular cluster or group </u>in other collect research data for analysis.
Whereas in this case, the randomly selected clusters are the different (individual restaurant) franchise locations.
Answer:
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
Step-by-step explanation:
A hypothesis test on the difference between the means must satisfy the following conditions
1) the samples must be randomly selected
2) each sample must have a known standard deviation
3) the samples must be independent
4) the samples must be from normal distribution
Hence only part d gives the right answer.
It has zero solutions because -5a+5a= 0, and 9 does not equal zero, so there are no solutions.
By performing the indicated operation, the simplest form of the equation is letter A. -6x^2 + 4x + 3. Answer can be verified by substituting any value to the variable x, substitute also the same value to the choices and whichever gives the same answer as the original equation, then that is the answer.