Answer:
0.4114
0.0006
0.1091
0.1957
Step-by-step explanation:
<u>Given: </u>
p = 0.7 n = 10
We need to determine the probabilities using table , which contains the CUMULATIVE probabilities P(X 
x).
a. The probability is given in the row with n = 10 (subsection x = 3) and in the column with p = 0.7 of table:
P(X 3) = 0.4114
b. Complement rule:
P( not A) = 1 - P(A)
Determine the probability given in the row with n = 10 (subsection x = 10) and in the column with p = 0.7 of table:
P(X 10) = 0.9994
Use the complement rule to determine the probability:
P(X > 10) = 1 - P(X 10) = 1 - 0.9994 = 0.0006
c. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 6) and in the column with p = 0.7 of table:
P(X 5) = 0.8042
P(X 6) = 0.9133
The probability at X = 6 is then the difference of the cumulative probabilities:
P(X = 6) = P(X 6) - P(X 5) = 0.9133 — 0.8042 = 0.1091
d. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 11) and in the column with p = 0.7 of table:
P(X 5) = 0.8042
P(X 11) = 0.9999
The probability at 6 X 11 is then the difference between the corresponding cumulative probabilities:
P(6 X 11) = P(X 11) - P(X 5) = 0.9999 — 0.8042 = 0.1957
Answer:
uhh
Step-by-step explanation:
Sorry but ain't nobody got time for this confusing stuff lol. Sorry I wasn't graced with math skills! Wish I could've helped!
Answer:
y = 1/40x + 20
Step-by-step explanation:
Slope-intercept equation format:
y = mx + b
m = slope/ gradient/ constant of variation/ rate of change
b = y-intercept
To find the slope, use the formula:
Find two random points:
1 - (0.5, 40) , 2 - (1, 60)
Plug in:
Solve:
Divide:
The y-intercept is when the x-coordinate is equal to 0.
The y-intercept is always the beginning.
So observing the graph, the first point is (0, 20)
The x-coordinate is 0.
Y intercept = 20.
Plug in both slope and y-intercept:
y = 1/40x + 20
The answer would be −
16
−
28
i
Answer:
4Hz
Step-by-step explanation:
Standard form of a sine or cosine function,
y = acos(b(x+c))
where a is the amplitude, b is the value to find the period. and c is the phase shift.
Period = \frac{2\pi}{b}
From the equation given in the question,
We can see:
Amplitude = 3,
Period = \frac{2\pi}{8\pi} = 1 / 4
Phase Shift = 1 / 16
Now we want to find the frequency.
Frequency = 1 / Period
= 1 / (1/4)
= 4Hz
