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7nadin3 [17]
2 years ago
6

Mabel and her twin sister, Molly, are making pink frosting to decorate cupcakes for their birthday

Mathematics
1 answer:
Darya [45]2 years ago
8 0

Answer:

Step-by-step explanation:

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Using the equation y = 3x – 5, what would the output be for an input of 4
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The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
y=7

The output is 7.
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Answer:C

Step-by-step explanation:

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4/3 is the ratio between fruit punch and orange juice. For every 3 cups of orange juice she makes, she can make 4 fruit punches. An example:
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2 years ago
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Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
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So,

We are trying to find the compound probability of there BEING oil and the test predicting NO oil.

The percent chance of there actually being oil is 45%.  We can convert this into fraction form and simplify it.

45% --> \frac{45}{100}

\frac{45}{100}--\ \textgreater \  \frac{3*3*5}{2*2*5*5}

\frac{3*3*5}{2*2*5*5}--\ \textgreater \ \frac{3*3}{2*2*5}

\frac{3*3}{2*2*5}--\ \textgreater \  \frac{9}{20}

That is the simplified fraction form.

The kit has an 80% accuracy rate.  Since we are assuming that the land has oil, we need the probability that the kit predicts no oil.  

The probability that the kit detects no oil will be the chance that the kit is not accurate, which is 20% (100 - 80 = 20).  We can also convert this into fraction form and simplify it.

20% --> \frac{20}{100}

\frac{20}{100}--\ \textgreater \ \frac{2}{10}

\frac{2}{10}--\ \textgreater \ \frac{1}{5}

That is the probability of the kit not being accurate (not predicting any oil).

To find the compound probability of there being oil and the kit not predicting any oil, we simply multiply both fractions together.

\frac{9}{20}*\frac{1}{5}

\frac{9}{20*5}

\frac{9}{100}

So the probability of there BEING oil and the kit predicting NO oil is 9 in 100 chances.
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What is equivalent to 1/4? 2/8, 1/3, 2/8, or 1/2
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2/8 is equivalent to 1/4, as it is directly proportional. 
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