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abruzzese [7]
3 years ago
13

monique needs 2.75 cups of sugar for a pie recipe.she wants to make 5 pies. how many cups of sugar will she need?

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0
2.75 x 5 = 13.75

she will need 13.75 cups of sugar
soldi70 [24.7K]3 years ago
3 0
1 pie = 2.75 cups
5 pie = 13.75 cups

i am a mathematics teacher. if anything to ask please pm me
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Based on data from a​ college, scores on a certain test are normally distributed with a mean of 1530 and a standard deviation of
harkovskaia [24]

Answer:

0.73% of the scores are greater than 2317.

14.46% of the scores are less than 1190.

38.23% of the scores are between 1351 and 1673.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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.

In this problem, we have that:

\mu = 1530, \sigma = 322

Find the percentage of scores greater than 2317.

This is 1 subtracted by the pvalue of Z when X = 2317. So:

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

Z = \frac{2317 - 1530}{322}

Z = 2.44

Z = 2.44 has a pvalue of 0.9927.

So 1-0.9927 = 0.0073 = 0.73% of the scores are greater than 2317.

Find the percentage of scores less than 1190.

This is the pvalue of Z when X = 1190. So:

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

Z = \frac{1190 - 1530}{322}

Z = -1.06

Z = -1.06 has a pvalue of 0.1446.

So 14.46% of the scores are less than 1190.

Find the percentage of scores between 1351 and 1673.

This is the pvalue of Z when X = 1673 subtracted by the pvalue of Z when X = 1351. So

X = 1673

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

Z = \frac{1673- 1530}{322}

Z = 0.44

Z = 0.44 has a pvalue of 0.67

X = 1351

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

Z = \frac{1351- 1530}{322}

Z = -0.56

Z = -0.56 has a pvalue of 0.2877

So 0.67-0.2877 = 0.3823 = 38.23% of the scores are between 1351 and 1673.

4 0
3 years ago
The lengths of the sides of a rectangle are 18cm by 3m. Express the area of the rectangle in square decametres.
lubasha [3.4K]

For this case we have that by definition, the area of a rectangle is given by:

A = b * h

Where:

b: It is the base of the rectangle

h: It is the height of the rectangle

By definition we have to:

1 meter equals 0.1 decameters

1 centimeter equals 0.001 decameters

According to the data of the statement we have:

b = 18 \ cm * \frac {0.001} {1} * \frac {decametres.} {cm} = 0.018 \ decameters.\\h = 3m * \frac {0.1} {1} * \frac {decameters} {m} = 0.3 \ decameters.

Thus, the area of the rectangle is:

A = 0.018 * 0.3 = 0.0054 \ decameters ^ 2

Answer:

0.0054 \ decameters ^ 2

6 0
4 years ago
Please answer it now in two minutes
kodGreya [7K]

Answer:

s = 19.0

Step-by-step explanation:

To find s, use the Pythagorean Theorem.

a² + b² = c²

9² + b² = 21²

81 + b² = 441

b² = 360

b = √360

b = 18.97366596 ⇒ 19.0 (rounded to the nearest tenth)

So, s = 19.0.

Hope that helps.

4 0
3 years ago
Determine the solution to the equation below.
mezya [45]

Answer:

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Likurg_2 [28]

Answer:

123 cm²

Step-by-step explanation:

Refer to attachment.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

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3 years ago
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