I just need to pick 1 answer and I don’t need to explain pls help me with this answer

A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it i

Akimi4 [234]

The expected value of the game is the mean value of the game

The expected value of the game is $1

<h3>How to determine the expected value?</h3>

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

$E(x) = \sum x * P(x)$

This gives

$E(x) = \frac 14 * 7 - 1 * \frac34$

Simplify

$E(x) = \frac 74 - \frac34$

Evaluate

$E(x) = 1$

Hence, the expected value of the game is $1

Read more about expected values at:

brainly.com/question/15858152

8 0

3 years ago

10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!!

stich3 [128]

A) The signs of the first derivative (g') tell you the graph increases as you go left from x=4 and as you go right from x=-2. Since g(4) < g(-2), one absolute extreme is (4, g(4)) = (4, 1).

The sign of the first derivative changes at x=0, at which point the slope is undefined (the curve is vertical). The curve approaches +∞ at x=0 both from the left and from the right, so the other absolute extreme is (0, +∞).

b) The second derivative (g'') changes sign at x=2, so there is a point of inflection there.

c) There is a vertical asymptote at x=0 and a flat spot at x=2. The curve goes through the points (-2, 5) and (4, 1), is increasing to the left of x=0 and non-increasing to the right of x=0. The curve is concave upward on [-2, 0) and (0, 2) and concave downward on (2, 4]. A possible graph is shown, along with the first and second derivatives.