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QveST [7]
3 years ago
10

At a certain college, there are 600 freshman, 400 sophomores, 300 juniors, and 200 seniors. if one student is selected at random

, what is the probability that the student is a sophomore?
Mathematics
1 answer:
Oksanka [162]3 years ago
3 0
The total number of sample space in this item is calculated by adding up all the number of students given. That is,

   S = 600 + 400 + 300 + 200 = 1500

The probability is calculated with the equation below.

    P = n / S

where P is the probability,
          n is the number of sophomores, and 
          S is the total number of students

Substituting,
    
  P = 400 / 1500 = 4/15

<em>ANSWER: 4/15</em>
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What is typically used to quantitatively compare the effectiveness of layouts? A. trial and error B. load-distance model C. expo
Andre45 [30]

Answer:

B. load-distance model

Step-by-step explanation:

A. trial and error

Trial and error is "a fundamental method of problem solving. It is characterised by repeated, varied attempts which are continued until success". But this method is not the best in order to compare effectiveness of layouts

B. load-distance model

The load-distance method is a "mathematical model used to evaluate locations based on proximity factors. The objective is to select a location that minimizes the total weighted loads moving into and out of the facility. The distance between two points is expressed by assigning the points to grid coordinates on a map". And that's the correct option since we are trying to measure the effectiveness of layouts quantitatively.

C. exponential smoothing

This is "a rule of thumb technique for smoothing time series data using the exponential window function". Wheighting observations using the exponential function. But this is a techinique used to smooth s time series not to compare effectiveness of layouts.

D.process control charts

The Control Chart is a "graph used to study how a process changes over time with data plotted in time order". But we don't want to see how the process changes the objective is quantitatively compare the effectiveness of layouts, and this one is not the best option for this.

E. mean absolute deviation (MAD)

The median absolute deviation(MAD) is "a robust measure of how spread out a set of data is. The variance and standard deviation are also measures of spread, but they are more affected by extremely high or extremely low values and non normality". But again is just a measure of spread and not allow to compare effectiveness of layouts.

8 0
3 years ago
Q’R’S’ is the image of QRS under a dilation through point C. What scale factor was used in the dilation?
ad-work [718]

-4 i believe is the answer

7 0
3 years ago
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Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football
Ronch [10]

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

P(F|G)=\frac{n(G\cap F)}{n(G)}

            =\frac{7}{56}\\\\=0.125\\\\=12.5\%

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

6 0
3 years ago
How do you solv divisions like 60/19. Please someone tell me fast
MatroZZZ [7]

Answer:

The first thing you do is:        

Step-by-step explanation:

How to calculate 60 divided by 19

Here we will show you step-by-step with detailed explanation how to calculate 60 divided by 19 using long division.

Before you continue, note that in the problem 60 divided by 19, the numbers are defined as follows:

60 = dividend

19 = divisor

Step 1:

Start by setting it up with the divisor 19 on the left side and the dividend 60 on the right side like this:

           

 1 9 ⟌ 6 0  

Step 2:

The divisor (19) goes into the first digit of the dividend (6), 0 time(s). Therefore, put 0 on top:

       0    

 1 9 ⟌ 6 0  

Step 3:

Multiply the divisor by the result in the previous step (19 x 0 = 0) and write that answer below the dividend.

       0    

 1 9 ⟌ 6 0  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (6 - 0 = 6) and write the answer below.

       0    

 1 9 ⟌ 6 0  

     - 0    

       6    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 6:

The divisor (19) goes into the bottom number (60), 3 time(s). Therefore, put 3 on top:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 7:

Multiply the divisor by the result in the previous step (19 x 3 = 57) and write that answer at the bottom:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

      5 7  

Step 8:

Subtract the result in the previous step from the number written above it. (60 - 57 = 3) and write the answer at the bottom.

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

     - 5 7  

         3  

3 0
2 years ago
A blouse that cost $16.85 is on sale for 45% off. What is the amount of the discount?
spin [16.1K]
The amount of the discount is $7.59 
8 0
3 years ago
Read 2 more answers
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