Answer:
45
Step-by-step explanation:
= (10!) ÷(8!) (10-8)!
(10 × 9)÷2 = 45
Answer:cvrr444444
Step-by-step explanation:
Tgt4t444444444
Remark
Start by figuring this out for 1 car. Worry about the 7 part when you find 1.
This problem is used quite frequently in physics. For example resistors in parallel use the same equation.
Formula
1/frank + 1/carla + 1/missy = 1/ time taken to do 1 mar.
Givens
Frank = 2 hours
Carla = 2 hours
Missy = 3 hours.
Substitute and Solve
1/2 + 1/2 + 1/3 = 1/Three_together.
3/6 + 3/6 + 2/6 = 1/Three_together.
8/6 = 1/Three_together. Cross multiply
8 * Three_Together = 6*1
8 * Three_Together = 6 Divide by 8
Three_Together = 6/8 = 3/4 = 0.75 hours. or 45 minutes for 1 car
Seven Cars
For 7 cars multiply 0.75 by 7
7 * 0.75 = 5.25 hours. <<<< Answer
Answer:
748 in^3.
Step-by-step explanation:
This consists of a triangular prism and a rectangular cuboid .
Volume of the prism = .1/2 * 8 *11 * 17 = 748 in^3
Volume of the cuboid = 5*8*17 = 680 in^3
Therefore the volume of the whole figure
= 680 + 748 = 1428 in^3.
Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
