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3 years ago

Which equation is true?

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

4 0

Answer:

f(0) = 6

Step-by-step explanation:

Complete question:

The function f (x) is given by the set of ordered pairs 1,0 (-10,2), (0,6) (3,17) (-2,-1) which equation is true

f(-10)=1

f(2)=-10

f(0)=6

f(1)=-10

Given the coordinate (x, y). This shows that the input function is x and the output function is y, i.e. f(x) = y

From the pair of coordinates given, hence;

f(1) = 0

f(-10) = 2

f(0) = 6

f(3) = 17

f(-2) = -1

From the following options, this shows that f(0) = 6 is correct

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g European roulette. The game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. A bal

butalik [34]

Answer:

The expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.

Step-by-step explanation:

We are given that the game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green.

Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money.

Let the probability of the ball landing on red slot = $\frac{18}{37}$

The probability of the ball landing on black slot = $\frac{18}{37}$

The probability of the ball landing on green slot = $\frac{1}{37}$

Now, it is stated that Gambler can place bets only on the red or black slot, so;

The probability of winning the bet will be = $\frac{18}{37}$

and the probability of losing the bet will be = $\frac{18}{37}+\frac{1}{37}$

= $\frac{19}{37}$

If the gambler wins he gets $3 and if he loses he will get -$3.

So, the expected value of gambler's total winnings is given by;

E(X) = $\sum X \times P(X)$

= $\$3 \times \frac{18}{37} + (-\$3 \times \frac{19}{37})$

= $\$3 \times (-\frac{1}{37})$ = -$0.081

Now, the standard deviation of gambler's total winnings is given by;

S.D.(X) = $\sqrt{(\sum X^{2} \times P(X))-(\sum X \times P(X))^{2} }$

So, $E(X^{2})=\sum X^{2} \times P(X)$

= $\$3^{2} \times \frac{18}{37} + (-\$3^{2} \times \frac{19}{37})$

= $\$9 \times (\frac{18}{37}+\frac{19}{37})$ = $9

Now, S.D.(X) = $\sqrt{\$9-(-\$0.081)^{2} }$

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3 years ago

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a_sh-v [17]

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The base of a right triangle is increasing at a rate of 2 meters per hour and the height is decreasing at a rate of 3 meters per

STatiana [176]

Answer:

dL/dt = - 2,019 m/h

Step-by-step explanation:

L² = x² + y² (1) Where x, and y are the legs of the right triangle and L the hypotenuse

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then dx/dt = 2 m/h. And the height is decreasing at the rate of 3 m/h or dy/dt = - 3 m/h

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When the base is 9 and the height is 22 according to equation (1) the hypotenuse is:

L = √ (9)² + (22)² ⇒ L = √565 ⇒ L = 23,77

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4 years ago

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kirill115 [55]

Answer:

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Step-by-step explanation:

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