The probability of profiting $5.2 million is 5% = 0.05

The probability of profiting $0.9 million is 50% = 0.5

The probability of breaking even, meaning no profit gain, is 45% = 0.45

Expected profit values of the CD is given by
(0.05×5.2) + (0.5×0.9) + (0.45×0) = 0.26+0.45+0 = 0.71 million

3 0

3 years ago

At a baseball game, a vender sold a combined total of 214 sodas and hot dogs. The number of hot dogs sold was 34 less than the n

Archy [21]

The vendor sold 124 sodas and 90 hot dogs.

Step-by-step explanation:

Let,

x be the number of sodas.

y be the number of hot dogs.

Total sold = 214

According to given statement;

x+y=214 Eqn 1

y= x-34 Eqn 2

Putting value of Eqn 2 in Eqn 1;

$x+(x-34)=214\\x+x-34=214\\2x=214+34\\2x=248$

Dividing both sides by 2;

$\frac{2x}{2}=\frac{248}{2}\\x=124$

Putting x=124 in Eqn 2;

$y=124-34\\y=90$

The vendor sold 124 sodas and 90 hot dogs.

Keywords: linear equations, substitution method

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5 0

4 years ago