We have the mean, μ = 20 and the standard deviation, σ = 4
X ≈ N(20, 4²)
We want P(X<15)
Standardising gives
P(X<15) = P(Z<
![\frac{15-20}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15-20%7D%7B4%7D%20)
)
P(X<15) = P(Z< -1.25) ⇒ When the value of the z-score is negative, we will read the value of z<1.25 on the z-table then subtract the answer from 1
P(X<15) = 1 - P(Z<1.25)
P(X<15) = 1 - 0.8944
P(X<15) = 0.1056
Hence, the probability that pizza takes less than 15 minutes to be delivered is 0.1056 = 10.56%
Answer:
![\large\boxed{s = 4\pi}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bs%20%3D%204%5Cpi%7D)
Step-by-step explanation:
The arc length is determined by the formula
, where s is the arc length, r is the radius, and
is the value of the central angle (in radian formatting).
By substituting the values for the radius and the central angle, you can solve for the arc length.
.
The central angle is converted to radian form by multiplying the angle in degrees by the fraction of π/180 - 360° * π/180 = 360π/180 = 2π.
Now, substitute the values and solve for s.
s = (2)(2π)
![\large\boxed{s = 4\pi}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bs%20%3D%204%5Cpi%7D)
Answer:
5
Step-by-step explanation:
the quadrtic formula says the x=y=z but it also argues
if you're solving for x it's -30
steps: x/-3+20=30
first subtract 20 from both sides then you'll have
x/-3=10 then multiply both sides with -3
you should have x by itself and -30 on the other side
answer x=-30
Answer:
175
Step-by-step explanation:
15•9=135
-310+135=-175