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umka21 [38]
3 years ago
11

Find the median, first quartile, third quartile, and interquartile range of the data. 35,20,21,31,22,24,28

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

median is 24

first quartile is 21

third quartileis 31

interquartile range 10

Step-by-step explanation:

median is 24

first quartile is 21

third quartileis 31

interquartile range 10

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Write a paragraph to help Miguel explain to Hannah how to complete the problems. Be sure to explain the process step-by-step (re
Eddi Din [679]
Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions. 
Common denominators are only needed in adding and subtracting fractions.

14/15 * 5/2 

Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3      

*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.

Steps in Dividing fractions.

24/60 ÷ 8/15

Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.

Reciprocal of 8/15 is 15/8.

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.

24/60 * 15/8 = (24*15) / (60*8) = 360/480

Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4

360 ÷ 40 =   9 ;   9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4
4 0
3 years ago
What is the sum of the polynomials?
Allisa [31]

Answer:

( -  {x}^{2}  + 9) + ( - 3 {x}^{2} - 11x + 4) \\  -  {x}^{2}   + 9 - 3{x}^{2}  - 11x + 4 \\ =   - 4 {x}^{2}   - 11x + 13

4 0
3 years ago
Read 2 more answers
Simplify -4 1/4-(-9 1/2) = ? <br><br>A. -13 1/3 <br>B. -5 1/4<br>C. 13 1/3<br>D. 5 1/4​
bagirrra123 [75]

Answer:

B

Step-by-step explanation:

Hope this helps

5 0
3 years ago
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new
Anit [1.1K]

Answer:

predictive value of a positive test = 18.18%

predictive value of a negative test = 94.03%

Step-by-step explanation:

Sensitivity = 60% = 0.6

Specificity = 70% = 0.7

Let True Positive = TP

True Negative = TN

False Negative = FN

Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN

Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN  = 7/3 FP

Prevalence = 10% = 0.1

Three hundred people are screened, T_{total} = 300

Total number of people having the disease, T_{disease} = ?

Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 =  \frac{T_{disease} }{300 }\\T_{disease} = 30

T_{disease} = TP + FN\\30 = TP + FN

But TP = 1.5 FN

30 = 1.5 FN + FN

30 = 2.5 FN

FN = 30/2.5

FN = 12

TP = 1.5 FN = 1.5 * 12

TP = 18

FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81

81 + TN = 270

TN = 189

To calculate the Predictive value of positive test (PPT)

PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%

To calculate the Predictive value of negative test (PNT)

PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%

7 0
3 years ago
6. A salesman needed to sell a four-
Akimi4 [234]

Answer:

3150

Step-by-step explanation:

7 0
3 years ago
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