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3 years ago

Use pemdas 4 + (2 x 12) - 3^2

Mathematics

2 answers:

zlopas [31]3 years ago

6 0

Answer:

4+24-9=19

Step-by-step explanation:

First, follow the PEMDAS method then you would get 4+24-9. Then you would get an answer of 19.

snow_lady [41]3 years ago

3 0

Answer:

Step-by-step explanation:

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Which of these are partitions of the set of real numbers?

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Love is always the answer

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3 years ago

A rock climber ascends 18 feet to the top of a rock ledge. The climber

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Answer:

10 feet

Step-by-step explanation:

18-8=10 so the remaining 10 feet is what he needs to descend.

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3 years ago

3. x-2y = 12<br>y=3x+ 14 substitution to solve system of equation

OLEGan [10]

Answer:

$\displaystyle [-8, -10]$

Step-by-step explanation:

12 = x - 2[3x + 14]

12 = x - 6x - 28

12 = −5x - 28

+ 28 + 28

____________

$\displaystyle \frac{40}{-5} = \frac{-5x}{-5}$

$\displaystyle -8 = x$ [Plug this back into both equations above to get the y-coordinate of −10]; $\displaystyle -10 = y$

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3 years ago

a bank loaned out $13,000 part of it at a rate of 8% per year and the rest at 16% per year. if the interest received in one year

slava [35]

Answer: $725

<u>Step-by-step explanation:</u>

Let x represent the amount invested at 8%, then $13,000 - x is the amount invested at 16%.

0.08(x) + 0.16(13,000 - x) = 1500

0.08x + 2080 - 0.16x = 1500

2080 - 0.08x = 1500

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7 0

3 years 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

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) = $\sqrt{\$9-(-\$0.081)^{2} }$

= $\sqrt{8.993}$ = $2.99 ≈ $3

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

6 0

3 years ago