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Inessa [10]
3 years ago
15

Is it possible to divide 15 by a mixed number and get a quotient greater than 15?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0
You'd have to divide it by a number that is a fraction less than one and greater than zero, without any integer in order to get a greater quotient, so no.
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Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat
Aleksandr-060686 [28]

Answer:

Range = 71

Variance = 546.0

Standard Deviation = 23.4

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Step-by-step explanation:

We are given the following data set in the question:

33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{646}{11} = 58.7

Sum of squares of differences = 5460.18

\text{Variance} = \frac{5460.18}{11} = 546.0

S.D = \sqrt{\frac{5460.18}{10}} = 23.4

Sorted Data Set: 26, 29, 33, 47, 56, 58, 65, 74, 78, 83, 97

Range = Maximum - Minimum

Range = 97 - 26 = 71

Based on the values, we can say that

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

6 0
4 years ago
Point B is collinear with A and C and partitions AC in a 3:4 ratio. B is located at (4,1) and C is located at (12,5). Find the c
GrogVix [38]

Answer:

A(-\frac{20}{3} ,-\frac{13}{3})

Step-by-step explanation:

Point B partitions AC in a 3:4 ratio.

B is located at (4,1) and C is located at (12,5).

Let (x_1,y_1) be the coordinates of A.

Then (\frac{mx_1+nx_2}{m+n}, \frac{my_1+ny_2}{m+n})=(4,1)

But m:n=3:4 implies m=3 and n=4 and (x_2=12,y_2=5)

(\frac{3x_1+4*12}{3+4}, \frac{3y_1+4*5}{3+4})=(4,1)

(\frac{3x_1+48}{7}, \frac{3y_1+20}{7})=(4,1)

\frac{3x_1+48}{7}=4, \frac{3y_1+20}{7}=1

3x_1+48=28, 3y_1+20=7

3x_1=-20, 3y_1=-13

x_1=-\frac{20}{3} , y_1=-\frac{13}{3}

8 0
3 years ago
Find the measure of the angle marked with the question mark.
mel-nik [20]

Answer:

52 degrees

Step-by-step explanation:

The 38 degree angle and the angle marked with a question mark are complimentary, which means they add up to 90 degrees. Knowing this, subtract 38 from 90 to find the mystery angle.

4 0
3 years ago
If justin has 90 tacos and loses 15 how many does he have
Ne4ueva [31]

Answer:75

Step-by-step explanation:

90-15=75

8 0
3 years ago
Read 2 more answers
What is the distance between the following two points?<br> (-5, -1) and (-8, -4)
liberstina [14]
The answer is -3 , -3
5 0
3 years ago
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