Answer:
0.497
Step-by-step explanation:
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
n = 6 ; x = 3 ; p = 0.42
P(x = 3) +... P(x = 6)
P(x = 3) = 6C3 * 0.42^3 * (1 - 0.42)^(6-3)
P(x = 3) = 20 * 0.074088 * 0.195112
P(x = 3) = 0.28910915712
Then find p(x = 4).. + p(x = 6)
Using a calculator :
P(X >= x) = 0.497
Answer:
Step-by-step explanation:
Given
Represent Carlos with y and his brother with x.
Analysing the statement one after the other:
Half of his brother's amount is: 
$2 more: means we add 2 to
So, we have: 
The above represent Carlos's amount.
So, the expression is:
Answer:
Step-by-step explanation:
9(9m+3t) = 9 *9m + 9*3t
= 81m + 27t
The answer to the question is 3295.5
Answer:
F = 254.08N Θ = 72.03°
Step-by-step explanation:
First of all we find the resolution in both x and y axis
∑Fx = 170cos87 + 100cos46 = 78.36N
∑Fy = 170sin87 + 100sin46 = 241.70N
To find the resultant vector we use pythagorean theorem
F = √(∑Fx)² + ∑(Fy)²
F = √(78.36² + 241.70²)
F = √(64559.1796)
F = 254.08N
the angle between both force can be obtained using
tanθ = ∑Fy / ∑Fx
tanθ = 241.70 / 78.36
tanθ = 3.084
Θ = tan⁻ 3.084
Θ = 72.03°
