Arliss has two pieces of carpet runner. One is 2 1/3 yards long and the other is 3 1/3 yards long. She needs 10 yards of carpet

If G is the midpoint of FH find FG<br>fg=11x-7 gh= 3x+9

Inessa [12570]

Solution:

Given that

G being the midpoint of FH implies

$FG=GH$

Additionally, we have

$FG=11x-7 ,GH= 3x+9$

Hence, we can express

$11x-7=3x+9\\
\\
11x-3x=7+9\\
\\
8x=16\\
\\
x=2$

Therefore, $FG=11x-7=11*\frac{1}{2}-7=11*2-7=15$

3 0

3 months ago

When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti

Zina [12379]

Answer:

cuando hables de raviolis de queso, dile a Martha que vaya al supermercado a comprar raviolis Chef Boyardee.

6 0

3 months ago

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

Leona [12618]

Answer:

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

Step-by-step explanation:

In European roulette, a wheel with 37 slots is spun: 18 are red, 18 are black, and 1 is green.

Bettors can wager on either red or black. Winning on their chosen color means they double their bet, while losing means they forfeit their stake.

Define the probability for the ball landing in a red slot = $\frac{18}{37}$

The probability of it landing in a black slot = $\frac{18}{37}$

The probability for landing in the green slot = $\frac{1}{37}$

Since bets are only placed on red or black,

The winning probability = $\frac{18}{37}$

and losing probability = $\frac{18}{37}+\frac{1}{37}$

= $\frac{19}{37}$

If a gambler wins, they receive $3, and if they lose, it amounts to -$3.

The expected value of the total winnings is hence;

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

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

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

Furthermore, the standard deviation of the total winnings is given by;

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

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

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

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

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

= $\sqrt{8.993}$ = $2.99 ≈ $3

Consequently, the anticipated value and standard deviation of your total winnings are -$0.081 and $3, respectively.

6 0

3 months ago

A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs

Leona [12618]

Answer How much of a 20% acid solution should be blended with 30 liters of a 50% acid solution in order to achieve a 40% solution.... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That totals 18 liters of pure acid, resulting in a final mixture of 45 liters which contains 0.45 pure acid=18 liters.

Step-by-step explanation:

6 0

2 months ago

Read 2 more answers

A city determines that a planned community must have at least 4 acres of developed and open space, and the difference

lawyer [12517]

Answer:

The attached figure illustrates the graph.

Step-by-step explanation:

Let

x represents the count of open acres

y depicts the total developed acres