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maxonik [38]
3 years ago
5

A recipe calls for 2 cups of flour to make 24 cookies. write and solve a proportion to find how much flour is needed to make 54

cookies.
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0
2 cups of flour          x cups of flour
––––––––––––   =   –––––––––––––
24 cookies                 54 cookies

cross multiply
2*54=24x
24x=108
x=4.5

4.5 cups of flour

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As an estimate we are told 5miles is 8km convert 68 km to miles ?
Alexxandr [17]

Answer:

42.5miles

Step-by-step explanation:

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8.5×5= 42.5 miles

we use the numbers given to us because we are finding the estimate.

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4 0
3 years ago
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Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3
lbvjy [14]

Answer:

14.63% probability that a student scores between 82 and 90

Step-by-step explanation:

Problems of normally distributed samples are 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 = 72.3, \sigma = 8.9

What is the probability that a student scores between 82 and 90?

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So

X = 90

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Z = \frac{90 - 73.9}{8.9}

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X = 82

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

Z = \frac{82 - 73.9}{8.9}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

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3 0
3 years ago
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Anni [7]
 ⇒ \frac{49}{10} 

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⇒10 x 4 = 40 
⇒40 + 9 = 49 

\frac{49}{10} = 4 \frac{9}{10} 

⇒ANSWER = 4 \frac{9}{10}

 
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3 years ago
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Hitman42 [59]

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