Answer:
Choice D). 
is correct.
Step-by-step explanation:
Given function graph is sinusoidal so let's compare with formula 
We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20
So amplitude A=20
In that formula, period is given by 
From graph we see that period is 
So both must be equal
cross multiplying them gives
B=4
Clearly there is no shift so C and D are 0
Now plug these values into formula
Hence choice D is correct.
Since the sum of scores must be at least 289:
72+78+70+x ≥ 289
445.76 * 9.634
use your calculator
answer is 4294.45184
Answer:
all real numbers from 4 to 8, inclusive
Step-by-step explanation:
Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
