Answer:
22.3 minutes
Step-by-step explanation:
The computation of the travel time is as follows:
Given that
= 17
And, the standard deviation is 4.5
P(X≤C) = 0.88
P( x - ) ÷ ≤ (C - ) ÷ = 0.88
(C - ) ÷ = 1.175
c = + 1.175 ×
= 17 + 1.175 × 4.5
= 22.3 minutes
Hence, the travel time is 22.3 minutes
Answer:
C
Step-by-step explanation:
Option C is the only one that's linear because it follows all of the rules for a line to be linear. To check, use the process of elimination:
A). When x is an absolute value, the line will not be linear because an input will have two outputs.
B). x cannot be in the denominator of a fraction for the line to be linear
D). Once again, x cannot be an absolute value.
*Note: I'm assuming in option B, 7x is in the denominator and 1 is in the numerator. If the fraction is simply 1/7 multiplied by x, it is linear along with C.
Since y is .95 and x is 1 it is a unit rate which is the constant of proportionality.
Correct me if I am wrong.
Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
Answer: 3
Step-by-step explanation:
By the intersecting chords theorem,