Answer:
B
Step-by-step explanation:
To determine if x = 6 is a solution, substitute x = 6 into the left side of the equation and if equal to the right side then it is a solution.
2(6) - 5 = 12 - 5 = 7 ≠ 1
Then x = 6 is not a solution of the equation since a false statement results after replacing x with 6 (B)
Answer:
Step-by-step explanation:
The equation of a line in
point-slope form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
−
y
1
=
m
(
x
−
x
1
)
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
2
and
(
x
1
,
y
1
)
=
(
3
,
0
)
⇒
y
−
0
=
−
2
(
x
−
3
)
⇒
y
=
−
2
(
x
−
3
)
←
in point-slope form
Answer:
4.77
Step-by-step explanation:
because Circumference can be found with this equation
C = 2piR
we need to plug in 15 for Circumference and solve for its radius or R.
15 = 2piR
15/2pi = R
but we need diameter which is 2R so we just need to multiply the answer by 2.
15/2pi × 2 = Diameter
15/pi = D
approximately = 4.77
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%
