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<
)
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:
The solutions are
Step-by-step explanation:
To factor this cubic polynomial you must:
- Group the polynomial into two sections
- Factor out -9 from
- Factor out from
- Factor out common term
- Factor
- Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0
The solutions are
Answer:
6=x
5.375=y
Step-by-step explanation:
You add 57° and 37° together and get 94°
You subtract the 94° from 180° (the total of the angles for all triangles) and you get 86°.
So the third angle is 86°, but it is bisected, so you divide it in half.
43=7x+1
You subtract one from both sides, giving you 42=7x
you divide 42 by 7 and get 6, so x is 6.
You divide 8 by 43 to get y.
Answer:
17.8
Step-by-step explanation:
First, round the two. umbers to the nearest the th, or the first number past the decimal. 19.28 rounds to 19.3 (round up because 8 is bigger than 5) and 1.546 rounds to 1.5 (round down because 4 is smaller than 5). Then subtract. 19.3 - 1.5 = 17.8
Answer:
63.4
Step-by-step explanation:
The triangle is right angled , so :
tan S = UT/ST
tan S = 2/1
tan S = 2
S = 2
S = 63.4