Answer:
So, the probability is P=0.0135.
Step-by-step explanation:
We know that at a certain airport, 65% of the flights arrive on time.
We get that p=0.65 and q=1-0.65=0.35.
We have 10 flights, so n=10.
We calculate the probability that all 10 of the flights were on time, so k=10.
We use the formulu:

we get:

So, the probability is P=0.0135.
Answer:
3 pyramids.
Step-by-step explanation:
The volume of one pyramid is 1/3 * b^2 * h
= 1/3 * 12^2 * 25
= 1200 cm^3.
The volume of one ball bearing = 4/3 * π * 0.7^3
= 1.43676 cm^3.
Therefore the volume of 2490 ball bearings = 2490 * 1 .43676
= 3577.53 cm^3.
So we need 3577.53 / 1200 = 2.98 = 3 pyramids.
<span> x(4-k)=p
[x(4-k)=p]/x
4-k=p/x
-4 = -4
-k=p/x-4
k=4-p/x
</span>
Answer:
RT = 20
Step-by-step explanation:
Point S is on line segment
R------------S------------T
RS + ST = RT
Given
ST=3x-8
RT=4x
RS=4x-7,
Step 1
We find x
4x - 7 + 3x - 8 = 4x
4x + 3x -7 - 8 = 4x
7x - 15 = 4x
7x - 4x = 15
3x = 15
x = 15/3
x = 5
Step 2
We find RT
RT = 4x
x = 5
RT = 4 × 5
RT = 20
The numerical length of RT is 20