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Hunter-Best [27]
3 years ago
12

Use the data set below to determine measurements of central tendency. (45, 65, 30, 50, 20, 30)

Mathematics
2 answers:
USPshnik [31]3 years ago
5 0
Mean: [45+65+30+50+20+30]/6 = 40.2

Median

First order the number {20, 30, 30,45, 50, 50}

The median is the average of the two values in the middle of the list: (30+45)/2 = 37.5

Mode: 30 and 50 (they are repeated the same number of times)
valkas [14]3 years ago
3 0

Answer:

Answer C

mean = 40, median = 37.5, mode = 30


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The line representing a proportional relationship always goes through the point (0,0). If x is zero, multiplying x by the consta
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Answer:

B (2, 4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the constant of proportionality k is given and is equal to

k=2

so

The linear equation is given by

y=2x

That means ----> the y-coordinate is two times the x-coordinate

therefore

The other point is B(2.4)

Because

For x=2, y=4

the y-coordinate is two times the x-coordinate

4=2(2)\\4=4

3 0
3 years ago
Two consecutive even integers have a sum of 46
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<span>Two consecutive even integers have a sum of 46 are</span> 22 and 24

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Sara wanted to put a trim on her curtains. She measured the curtains and found that they were 4.5 yards long. How many inches is
Maru [420]
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Find the circumference of the given circle 11 ft
nasty-shy [4]

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5 0
3 years ago
Find the coordinates of the point (x,y,z) on the planez=4x+3y+1 which is closest to the origin.
Nataliya [291]
Given plane &Pi; : f(x,y,z) = 4x+3y-z = -1
Need to find point P on &Pi;  that is closest to the origin O=(0,0,0).

Solution:
First step: check if O is on the plane &Pi; : f(0,0,0)=0 &ne; -1 => O is not on &Pi;
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e. 
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane &Pi; , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane &Pi;
Answer: P(-2/13, -3/26, 1/26) is the point on &Pi; closest to the origin.

8 0
2 years ago
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