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frutty [35]
2 years ago
15

You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How muc

h olive oil and balsamic vinegar do you use?
Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

Hey there!

Let's write this as a ratio/proportion.

\frac{olive oil}{balsamic vinegar} = \frac{2.75}{1.5}

The sum of this basic ratio is 4.25.

To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.

34/4.25=8

Now, we multiply our two ingredients by eight.

2.75(8)=22

1.5(8)=12

Note that these two add up to make 34 tablespoons.

Therefore, we have...

22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.

I hope this helps! Have a great day! :)

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There will be 13 such bags and Jesse will earn $ 78 by selling the energy bars.

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Jesse made 312 mini energy bars. She put 24 bars in each bag. So, there will be, \frac {312}{24} = 13 such bags.

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In an analysis of healthcare data, ages have been rounded to the nearest multiple of 5 years. The difference between the true ag
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The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.

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We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.

The mean of the uniform distribution is:

\mu=\dfrac{Max+Min}{2}=\dfrac{2.5+(-2.5)}{2}=0

The standard deviation of the uniform distribution is:

\sigma=\dfrac{Max-Min}{\sqrt{12}}=\dfrac{2.5-(-2.5)}{\sqrt{12}}=\dfrac{5}{3.46}=1.44

The sampling distribution can be approximated as a normal distribution with the following parameters:

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We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score:

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