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Elena-2011 [213]

3 years ago

9

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

1 answer:

Afina-wow [57]3 years ago

3 0

Solution B is the one she should use

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An experiment consist of rolling 3 fair dice (1 red die, a blue die, and a white die) and recording the number rolled on each di

Setler79 [48]

In 1, t<span>here are 6 outcomes for each die, so for three dice, the total combination is 6 x 6 x 6 = 216 outcomes. Hence, t</span><span>he probability of any individual outcome is 1/216 </span>

The outcomes that will add up to 6 are
<span>1+1+4 </span>
<span>1+4+1 </span>
<span>4+1+1 </span>
<span>1+2+3 </span>
<span>1+3+2 </span>
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<span>Hence the probability is </span><span>10/216 </span>

In 3, the minimum sum of the three dice is 3. so we start with this
<span>P(n = 3) </span>
<span>1+1+1 ; </span><span>1/216 </span>

<span>P(n = 4) </span>
<span>1+1+2 </span>
<span>1+2+1 </span>
<span>2+1+1 ; </span><span>3/216 </span>

<span>P(n = 5) </span>
<span>1+1+3 </span>
<span>1+3+1 </span>
<span>3+1+1 </span>
<span>1+2+2 </span>
<span>2+1+2 </span>
<span>2+2+1; </span><span>6/216

The sum in 3 is 10/216 or 5/108</span>

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4 years ago

Bonnie planted a garden in her backyard. Both the garden and the backyard are right triangles. The garden is proportional to the

Mandarinka [93]

You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard. If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

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