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allsm [11]
4 years ago
10

Pls help and show some steps

Mathematics
1 answer:
Vikentia [17]4 years ago
6 0
To solve this equation, simply plug in the value of h = 0 feet, as this would be the height the object will be on the ground. It would be 0.

Afterwards, solve the equation by factoring the quadratic function.

16t^2 - 64t - 80 = 0.
8(2t^2 - 8t - 10) = 0

2t^2 - 10t + 2t - 10 = 0

2t(t - 5) + 2(t - 5) = 0

(2t + 2)(t - 5) = 0

T = 5 and t = -1.

Since time can’t be negative, there is only one solution, t = 5.

It would be about 5 seconds.
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Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

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Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

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E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

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Took the quiz and got it right

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