3 years ago

Help plz urgent ! “which ratio completes the probability distribution table”

Mathematics

1 answer:

Masteriza [31]3 years ago

3 0

Answer:

16/48

Step-by-step explanation:

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Find the average value fave of the function f on the given interval. f(t) = e^sin(t) cos(t), [0, π/2]

RideAnS [48]

The question is related to integration and we have to used the following formula

$\frac{1}{b-a}\int\limits^a_b {f(x)} \, dx$

$\frac{1}{\pi /2 -0}\int\limits^0_{\pi/2} {e^{sin t}cos t } \, dt$

$= \frac{2}{\pi}(e^{sin t})_{0}^{ \pi /2}$

$=\frac{2}{\pi}(e^{sin(\pi/2)} -e^{sin0})$

$=\frac{2}{\pi}(e -1)$

6 0

3 years ago

PLEASE HELP ASAP 25 PTS

skelet666 [1.2K]

The horizontal line has equation $y=3$ . The line is solid, and everything below it is shaded, which translates to the inequality $y\le3$ . (so not B nor D)

The dashed line must have equation $y=2x-1$ . Because it's dashed, the inequality is strict. Pick any point in the shaded region, (0, 0) for instance, and compare both sides of this equation. (0, 0) means both $x=0$ and $y=0$ , so on the left side we have 0, and on the right we have -1. 0 > -1, so the inequality must be $y>2x-1$ .