Write an equation representing how much Tristan paid.

Mathematics

1 answer:

slavikrds [6]2 years ago

4 0

Answer:

10000

Step-by-step explanation:

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For the formula F = 95K – 455.67, what is the value of K when F = 0?

Inessa [10]

Answer:

K = 4.8

Step-by-step explanation:

Equation Solving

We are given the equation:

F = 95K - 455.67

We are required to find the value of K when F=0:

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Adding 455.67:

95K = 455.67

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3 years ago

A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after th

Citrus2011 [14]

Answer:

Value of k is $\displaystyle\frac{3}{8}$

Step-by-step explanation:

We are given the following information in the question:

$f(x) = kx^2, 0\leq x \leq 2\\~~~~~~~= 0, \text{ otherwise}$

where x is the time elapses between the end of the hour and the end of the lecture.

We have to find the values of k.

Since, f(x) is the pdf, then,

$\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}$