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alisha [4.7K]
3 years ago
6

A recipe requires 1/2 lb of onions to make 5 servings of soup . Mark has 3 lb of onions . How many servings can mark make?

Mathematics
1 answer:
Olenka [21]3 years ago
5 0
1/2lb: 5 serving of soups
3lb:?
3×5÷1/2=30. As a result, there will be 30 serving Mark can make. Hope it help!
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Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays
Genrish500 [490]

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

\mu = 65 - 70 = -5

The standard deviation is the square root of the sum of the variances. So

\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 - (-5)}{7.81}

Z = 0.64

Z = 0.64 has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

4 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
iren2701 [21]

Answer:

Here's what I get  

Step-by-step explanation:

a. Write an equation

(8x + 12y)² + (6x + 9y)²= (10x + 15y)²

b. Transform the equation

(i) Remove parentheses

64x² +192xy + 144y² + 36x² + 108xy + 81 y² = 100x² +300xy + 225y²

(ii) Combine like terms.

100 x² + 300xy + 225y² = 100x² +300xy + 225y²

The two sides are the same.

The equation is an identity.

3 0
3 years ago
Simplify 4√32<br><br> A. 4√8<br> B. 16√2<br> C. 8√2<br> D. 24
denpristay [2]
4\sqrt{32} =\\\\ 4\sqrt{16\times 2} =\\\\4\sqrt{16}\times \sqrt{2} =\\\\ 4\times 4\times \sqrt{2} =\\\\\ 16\times \sqrt{2}=\\\\ 16\sqrt{2}

Your final answer is B.
4 0
3 years ago
Two trains leave the station at the same time
sattari [20]

MORE DETAILS PLEASE AND SORRY FOR CAPIN YOU =)

5 0
3 years ago
HELP PLEASEEEEE!!!!!!
larisa86 [58]
<h3>Answer:  29%</h3>

If that answer doesn't work, then try 29 without the percent sign.

============================================================

Explanation:

We know with absolute certainty that the person ordered a hot drink, due to the "given".

This means we only focus on the values in the first row.

There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.

The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.

This converts to 29.33% and that rounds to 29%

4 0
3 years ago
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