Answer:
Choice C
Step-by-step explanation:
f: initial value of 200 decreasing at a rate of 4%
g: initial value of 40 increasing at a rate of 8%
f is decreasing so it must go down starting at 200
That eliminates a and d
g is increasing and starts at 40 That eliminates a
We must look at b and c
g is increasing faster than f is decreasing
Choice C
Answer: ( 77.27 , 83.93)
Therefore at 95% confidence/prediction interval is
= ( 77.27 , 83.93)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 80.6 words per minute
Standard deviation r = 7.2
Number of samples n = 18
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
80.6+/-1.96(7.2/√18)
80.6+/-1.96(1.697056274847)
80.6 +/- 3.33
= ( 77.27 , 83.93)
Therefore at 95% confidence/prediction interval is
= ( 77.27 , 83.93)
Answer:
219.345115
Step-by-step explanation:
-9(-8p+12)-6p
= 219.345115
30% = 0.30
100 - 100(0.30) = 70
20% = 0.20
70 - 70(0.20) = 56
the answer is c
Answer: C. 
Step-by-step explanation:
Let x be the binomial variable that denotes the number of makes.
Since each throw is independent from the other throw , so we can say it follows Binomial distribution .
So 
Binomial distribution formula: The probability of getting x success in n trials :
, where p = probability of getting success in each trial.
Then, the probability of Michael Beasley making all of his next 4 free throw attempts will be :

![=(1)(0.75)^4(1)\ \ [\because\ ^nC_n=1]\\\\=(0.75)^4](https://tex.z-dn.net/?f=%3D%281%29%280.75%29%5E4%281%29%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_n%3D1%5D%5C%5C%5C%5C%3D%280.75%29%5E4)
Thus, the probability of Michael Beasley making all of his next 4 free throw attempts is 
Hence, the correct answer is C.
.