A circle has a central angle measuring 90° that intersects an arc of length 117.75 in. What is the length of the radius of the c
1 answer:
You might be interested in
Answer:
S = {0,2,3,4}
P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001
Mean = 0.879
Standard Deviation = 1.033
Step-by-step explanation:
Let the number of people having same birth month be = x
The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)
The number of ways of distributing their birthdays = 12⁴
The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)
P(X = 0) =
P(X=0) = 0.573
P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)
P(X=2) =
P(X=2) = 0.401
P(X=3) =
P(x=3) = 0.025
P(X=4) =
P(X=4) = 0.001
Mean,
Standard deviation,
SD = 1.033
Answer:
#4: (r,t) = (1,6) #5: (x, y) = (-,4) #6: (x, y) = (3, 5) #7: (p, r) = (10,
)
Step-by-step explanation:
#4:
Solve for t.
t = 5 + r
Substitute the given value of t into equation
-2r + 5 + r = 4
Solve for r
r = 1
substitute the given value of r into equation
t = 5 + 1
solve for t
t = 6
solution is ordered pair (r, t) = (1,6)
#5:
Solve for y.
y = 2 - 4x
Substitute the given value of y into equation
2x - (2- 4x) = -5
Solve for x
x = -
substitute the given value of x into equation
y = 2 - 4x (- )
solve for y
y = 4
solution is ordered pair (x, y) = (-,4)
#6:
Solve for x
x = -12 + 3y
Substitute the given value of x into equation
2 (-12 + 3y) + y = 11
Solve for y
y = 5
substitute the given value of y into equation
x = -12 + 3 x 5
solve for x
x = 3
solution is ordered pair (x, y) = (3, 5)
#7
Solve for r
r =
Substitute the given value of into equation
-2p + 3x = -6
Solve for p
p = 10
solution is ordered pair (p, r) = (10, )