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Harlamova29_29 [7]
3 years ago
15

A recipe calls for 1/3 cup of brown sugar for 1 batch. How many batches can be made by one and two-thirds cups? 4 students drew

tape diagrams and gave their solutions. Which option contains a correct tape diagram and solution to represent this situation?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

5 batches

Step-by-step explanation:

1/3 cup of sugar = 1 batch

1 1/3 is 5 times the amount of 1 batch

so 5 batches could be made with 1 1/3 cups of brown shugar

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A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighb
Sedbober [7]

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

<h3>What are the variance and standard deviation?  </h3>

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225)^{2} + (–425)^{2}+ (–275)^{2} + (325)^{2} + (75)^{2}+ (–75)^{2} = 423,750

(650)^{2} + (–150)^{2} + (–600)^{2} + (250)^{2} + (150)^{2} + (–300)^{2} = 980,000

(250)^{2} + (–400)^{2} + (–250)^{2} + (350)^{2} + (100)^{2} + (–50)^{2} = 420,000  

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

Learn more about variance;

brainly.com/question/14116780

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DedPeter [7]
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