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Assoli18 [71]
3 years ago
11

20 points! I need help! I will also be doing a 50 point giveaway later!

Mathematics
2 answers:
Aloiza [94]3 years ago
3 0

Answer:

5. There were 30 students in that class.

6. Drew weighed 245 pounds at the start.

Step-by-step explanation:

5. Since 3 students are absent in which represents 10% of the classroom, multiply the number 3 by 10 to get 30 students which represents the full roster.

6. 20% of his original weight is 49, multiply that number by 5 to get the original weight which is 245 pounds.

Ivahew [28]3 years ago
3 0

Answer:

5. 3 / 0.1 = 30 students

6. 49 / 0.2 = 245 lbs

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grin007 [14]

Answer:

A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}

Step-by-step explanation:

\frac{x + 2}{ {x}^{2} + 5x + 6 }  \div  \frac{3x + 1}{ {x}^{2}  - 9}  \\  \\  = \frac{x + 2}{ {x}^{2} + 3x  + 2x+ 6 }  \div  \frac{3x + 1}{ {x}^{2}  -  {(3)}^{2} }  \\  \\  = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }}   \times   \frac{\cancel{( {x}  +   3)}( {x} -  {3)}}{3x + 1}  \\  \\  =  \purple{ \bold{ \frac{x - 3}{3x + 1} }}

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Divide 78 into 2 groups
jenyasd209 [6]
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7 0
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-256÷457.6 a -16 b -1.6c 1.6 d 16
sp2606 [1]

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b.

Step-by-step explanation:

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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

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 = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
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