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3 years ago

Supposed there are 2 blue 3green and 5 yellow marbles in a bag.one marble will be drawn from the bag.calculate each probability

Mathematics

2 answers:

emmasim [6.3K]3 years ago

5 0

2/10 3/10 5/10

blue green yellow

ddd [48]3 years ago

4 0

2/10blue, 3/10 green, 5/10 yellow

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A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of

vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0

3 years ago

You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if

Tom [10]

The expected value of the game is $8.75.

----------------------

The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

The probability of spinning a 2 and a vowel is: $\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}$ .
Thus, $\frac{2}{32}$ probability of getting $50.

The probability of spinning 2 and a consonant is: $\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}$

Thus, $\frac{6}{32}$ probability of getting $25.

The probability of spinning 1 and a vowel is: $\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}$ .
Thus, $\frac{6}{32}$ probability of getting $5.

32 - (6 + 6 + 2) = 18, thus, $\frac{18}{32}$ probability of earning $0.

The expected value is:

$E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)$

$E = \frac{100 + 150 + 30}{32}$

$E = \frac{280}{32}$

$E = 8.75$

The expected value of this game is of $8.75.

A similar problem is given at brainly.com/question/24961584

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3 years ago

Multiply 436.2 × 0.74 = ____

Darya [45]

322.788 is the answer to your ?

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3 years ago

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An experimenter used the following design for studying five variables in eight runs in four blocks of size 2. (a) By reordering

never [62]

Answer:

A design in which all levels of each independent variable are combined with all levels of the other independent variables. A factorial design allows investigation of the separate main effects and interactions of two or more independent variables.

Step-by-step explanation:

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4 years ago

An item is priced at $14.42. If the sales tax is 5%, what does the item cost including sales tax?

faltersainse [42]

I would say that the answer is D 21.63

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4 years ago