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LiRa [457]
3 years ago
11

Malcolm Little High School has sopho- mores, juniors, and seniors, but no freshmen. The ratio of sophomores to juniors is 5 to 4

, and the ratio of juniors to seniors is 3 to 2. If there are 300 sophomores, how many seniors are there?
Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

161 seniors

Step-by-step explanation:

According to the problem, given data are as follows:

Total number of sophomores = 300

Sophomores to junior ratio = 5:4

So, Number of Juniors = 300 ×  (4 ÷ 5)

= 240

Now, Juniors to senior ratio = 3:2

So, we can calculate the number of seniors by using following method:

Number of seniors = 240 × ( 2 ÷ 3)

= 240 × 0.67

= 160.8 or 161

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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

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

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

Z = 1.81

Z = 1.81 has a pvalue of 0.9649

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

0.9649 - 0.8186 = 0.1463

14.63% probability that a student scores between 82 and 90

3 0
3 years ago
A new movie opened in a local theater. On opening day, 985 people saw the movie. Each day after opening day, the number of peopl
zysi [14]

Answer:

About 3891 people saw that movie.

Step-by-step explanation:

Day 1: 985 people

Day 2: (985*8)/10 (20% gone) = 788

Day 3: (788*8)/10 (20% gone) = 630.4

Day 4: (630.4*8)/10 (20% gone) = 504.32

Day 5: (504.32*8)/10 (20% gone) = 403.456

Day 6: (403.456*8)/10 (20% gone) = 322.7648

Day 7: (322.7648*8)/10 (20% gone) = 258.21184

Adding this up:

985+788+630.4+504.32+403.456+322.7648+258.21184=

985+788+630+504+403+323+258=3891

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3 years ago
What is the value of x?
Lerok [7]
The value of x is about 4.7
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3 years ago
A bag has more green balls than blue balls, and there is at least one blue ball. Let b represent the number of blue balls and le
Lera25 [3.4K]

Answer:

You must show us the statements that are given. This question can not be answered without that information. Have a nice day!!! :-)

Step-by-step explanation:

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2 years ago
Solve the compound inequality.<br> 3x + 1 &lt;4 or 9x &gt; 31
WINSTONCH [101]

Answer:

Step-by-step explanation:

3x < 4 - 1   or x > 31/9

3x < 3 or x > 31/9

x < 1  or x > 31/9

7 0
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