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Burka [1]
3 years ago
12

The grade appeal process at a university requires that a jury be structured by selecting five individuals randomly from a pool o

f eight students and ten faculty.
What is the probability of selecting a jury of all students?
Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

0.006535 (to 6 decimal place)

Step-by-step explanation:

There are

8 students in total

10 faculty in total

Jury consists of 5 members

We need to select jury of students

Hence, the probability would be:

ways of selecting 5 students from 8 students DIVIDED by ways of selecting 5 members from total of 18

So,

5 of 8 selection = 8C5

5 out of 18 selection = 18C5

So,

Probability of selecting a jury of all students = 8C5/18C5 = 56/8568 = 0.006535

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The annual tuition at a specific college was $20,500 in 2000, and $45,4120
nika2105 [10]

Answer: the tuition in 2020 is $502300

Step-by-step explanation:

The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = $20500

The fee in 2018 is the 19th term of the sequence. Therefore,

T19 = $45,4120

n = 19

Therefore,

454120 = 20500 + (19 - 1) d

454120 - 20500 = 19d

18d = 433620

d = 24090

Therefore, an

equation that can be used to find the tuition y for x years after 2000 is

y = 20500 + 24090(x - 1)

Therefore, at 2020,

n = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

6 0
3 years ago
Simplify the expression given below.
Nikitich [7]
I don’t see a expression...
4 0
2 years ago
Select the correct answer.
aleksley [76]

Answer:

A. 247.03

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
GaryK [48]
Explanation
: the answer is m=f
8 0
2 years ago
Read 2 more answers
Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per
Otrada [13]

Answer: (0.8115, 0.8645)

Step-by-step explanation:

Let p be the proportion of people who leave one space after a period.

Given:  Sample size : n= 525

Number of people responded that they leave one space. =440

i.e. sample proportion: \hat{p}=\dfrac{440}{525}\approx0.838

z-score for 90% confidence level : 1.645

Formula to find the confidence interval :

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)

Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)

3 0
3 years ago
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