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Ivenika [448]
3 years ago
9

Mr. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943

students, what is the expected number of students who are liberal arts majors? Answer quick
Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

We can expect 8255 numbers of students are liberal arts majors.

Step-by-step explanation:

Given:

Total Number of students in the college = 8943

Now According to Mr. Jones Survey;

60 out of 65 students are liberal arts majors.

We need to find the number of students who are liberal arts majors out of total number of students in college.

Solution:

First we will find the Percentage number of students who are liberal arts majors according to survey.

Percentage number of students who are liberal arts majors can be calculated by dividing 60 from 65 then multiplying by 100.

framing above quote in equation form we get;

Percentage number of students who are liberal arts majors = \frac{60}{65}\times 100 = 92.31\%

Now we will find the Total number of students who are liberal arts major.

Total number of students who are liberal arts major can be calculated by Multiplying Percentage number of students who are liberal arts majors with total number of students in the college and then dividing by 100.

framing above quote in equation form we get;

Total number of students who are liberal arts major = \frac{92.31}{100}\times 8493 \approx8255.28

Since number of students cannot be in point, so we will round the value.

Hence We can expect 8255 numbers of students are liberal arts majors.

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Thirty students in the fifth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green
Mars2501 [29]

Answer:

No, the events "brown hair" and "brown eyes" are not  independent.

Step-by-step explanation:

The table that represents the  hair and eye colors of thirty students of the fifth grade are given in table as:

                         Brown hair          Blonde hair              Total

Green eyes           9                       6                               15

Brown eyes          10                       5                              15

Total                     19                        11                             30

No, the events  "brown hair" and "brown eyes" are not independent.

Since, two events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

where P denotes the probability of an event.

Here we have:

A= students having brown hair.

B= students having brown eyes.

A∩B= students having both brown hair and brown eyes.

Now,

P(A)=19/30  (ratio of addition of first column to the total entries)

P(B)=15/30  ( ratio of addition of second row to the total entries)

Also,

P(A∩B)=10/30

Now as:

P(A∩B) ≠ P(A)×P(B)

Hence, the two events are not independent.

8 0
2 years ago
What is the answer? <br>x+y=15 <br>-2x+5y=-2​
zavuch27 [327]
Multiply the first equation by 2

2x + 2y =30

now we’ll add the second equation to the first equation

2x + 2y =30
-2x+5y= -2

7y=28

divide by 7

y=4

now plug y back into the first equation

x + 4 = 15

subtract 4

x=11
6 0
3 years ago
Answer It, Thanks. -3(-100)
Kaylis [27]

Answer: 300

Step-by-step explanation:

6 0
3 years ago
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Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
STatiana [176]

Answer:

Step-by-step explanation:

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5 0
3 years ago
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The vertex of the parabola below is at the point (1, 5), and the point (2, 8) is on the parabola. What is the equation of the pa
N76 [4]

Answer: B

Step-by-step explanation:

the parabola having (1,5) as vertex have as equation:

y=k*(x-1)²+5

It is passing through (2,8)

8=k*(2-1)²+5 ==> k+5=8 ==> k=3

equation is  y=3(x-1)²+5

Answer B

6 0
2 years ago
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