6 sec can take penny to strike the ground.
Solution:
Given data:
feet
feet

Re-arrange the terms from greatest degree to smallest degree.

We can solve it by applying quadratic formula,

Here a = –16, b = 48, c = 288




Now, write find two t's using plus and minus operation.


t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.
Answer:
(-3,10) (0,5) (3,0) (6,-5)
Step-by-step explanation:
x intercept = 3
y intercept =5
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The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>
The missing part of the question is;
The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.
Calculate P(6)
- This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾
Where;
p is probability of success
q is probability of failure
n is number of experiments
In this question;
n = 10
p = 75% = 0.75
q = 1 - p
q = 1 - 0.75
q = 0.25
Since six passengers are randomly selected, then applying the formula earlier quoted, we have;
P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾
P(6) = 0.146
Read more at; brainly.com/question/24239758
Make a change of coordinates:


The Jacobian for this transformation is

and has a determinant of

Note that we need to use the Jacobian in the other direction; that is, we've computed

but we need the Jacobian determinant for the reverse transformation (from

to

. To do this, notice that

we need to take the reciprocal of the Jacobian above.
The integral then changes to
