Answer:
0.16807 ; 0.83193
Step-by-step explanation:
Given that:
Number of trials, n = 5
Probability of success, p = 0.30
P(r = 0)
Using the binomial probability relation :
P(x =r) = nCr * p^r * (1 - p)^(n - r)
(a) Find P(r = 0).
P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)
= 1 * 1 * 0.16807
= 0.16807
(b) Find P(r ≥ 1) by using the complement rule
P(r ≥ 1) = 1 - P(r = 0)
P(r ≥ 1) = 1 - 0.16807
P(r ≥ 1) = 0.83193
Answer:
D
Step-by-step explanation:
Because it is x - 7, we know it has a phase shift of + 7 to the right.
We also know that since +1 is in the equation, there is a vertical shift of + 1.
Hope this helps
40.75 - 7.05= 33.7
33.7 / 2 = 16.85
16.85 ft. should be on each side of the 7.05 ft. bench
The difference of a number and 5 = n - 5
Twice that = 2(n - 5)
‘is’ is the equal sign, so the expression before is equal to 7.
Equation: 2(n - 5) = 7
If you use this equation then you say that the ground is h=0 and solve as a quadratic.
The quadratic formula is (-b±<span>√(b^2-4ac))/2a when an equation is in the form ax^2 + bx + c
So the equation you have been given would be -16t^2-15t-151 = 0
This equation has no real roots which leads me to believe it is incorrect.
This is probably where your difficulty is coming from, it's a mistake.
The equation is formed from S=ut+(1/2)at^2+(So) where (So) is the initial height and S is the height that you want to find.
In this case you want S = 0.
If the initial height is +151 and the initial velocity and acceleration are downwards (negative) and the initial velocity (u) is -15 and the initial acceleration is -32 then you get the equation S=-15t-16t^2+151
Solving this using the quadratic formula gives you t = 2.64 or t = -3.58
Obviously -3.58s can't be the answer so you're left with 2.64 seconds.
Hope this makes sense.
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