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PilotLPTM [1.2K]
3 years ago
11

For every $50.00. Michael earns, he saves $5. for the future. How much money will he have saved when he earns a total of $500.

Mathematics
2 answers:
Gre4nikov [31]3 years ago
8 0
D. He will have saved $50
xeze [42]3 years ago
4 0

The answer is D

This is because if for every $50 he saves $5, and he has saved a total of $500, you can set up a proportion to find out how much money he has saved at that point.

The proportion is as follows:

50/5 == 500/x

x is equivalent to the amount of money he has saved

You can cross multiply to get the following equation:

50x == 2500

To isolate x, you must divide both sides by 50, giving you an answer of:

x = 50

This is the same as option D

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A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one
salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = \frac{2}{3}

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = \frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is x. Then that of 3 is 2x(because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

7x=1

x=\frac{1}{7}

P(odd number) = 3\timesProb(1) + Prob(3)

= 3\times\frac{1}{7}+\frac{2}{7} = \frac{5}{7}

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3 years ago
Jessica is walking home from a friend's house. After two minutes she is 1 mile from home. Twelve minutes after leaving, she is 0
777dan777 [17]

Step-by-step explanation:

In ten minutes she walked 1-0.5=0.5 miles.

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