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2 years ago

Given S'T'U'V' is a dilation of STUV, find the scale factor of dilation.

Mathematics

1 answer:

Lyrx [107]2 years ago

5 0

Step-by-step explanation:

Scale factor of STUV to S'T'U'V

= Length of T'U' / Length of TU

= 6/12 = 0.5.

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Write an equation in slope-intercept form for the line that passes through (0,1) and (1,3)

Lana71 [14]

Answer:

y= 2x+1

Step-by-step explanation:

Points:

(0,1) and (1,3)

Form of the line:

y=mx+b, m- the slope, b- y-intercept

Finding the slope:

m= (y2-y1)/(x2-x1)
m=(3-1)/(1-0)= 2/1= 2

Line is now:

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2 years ago

The exam scores (out of 100 points) for all students taking an introductory Statistics course are used to construct the followin

ella [17]

Answer:

The inter quartile range is 55

Step-by-step explanation:

Interquartile range:-

Definition:-

The inter quartile range is the difference between the upper (Q3) and lower(Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest.

Interquartile range = higher quartile - lower quartile

given data 50.25.80.10

write the ascending order 10 25 50 80

Step:-1

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is

$({\frac{n+1}{2} })^{th}$ observations

Step2:-

The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is even, then the median is $({\frac{n}{2} })^{th}$

$({\frac{n+1}{2} })^{th}$

In given data the number of observations is '4'(even)

If the number of observations is even, then the median is $({\frac{n}{2} })^{th}$

$({\frac{n+1}{2} })^{th}$

median is $({\frac{4}{2} })^{th}$ is 2 observations and $({\frac{4+1}{2} })^{th}$ is 2.5 observations.

so we have to select average of these two observations.

therefore the median is '3' observation

median of the given data = 50

Step:3

Interquartile range = higher quartile - lower quartile

= 80-25

=55

3 0

3 years ago

Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96

Citrus2011 [14]

Answer:

Step-by-step explanation:

If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.

Triangle OKN will be similar to triangle BKA, so ...

AN : AK = BO : BK = 1 : 3

Then ...

AN : AK : KC = 1 : 3 : 3

In terms of ratio units, ...

AN = 1

AC = 3+3 = 6

NC = 6-1 = 5

This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.

perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96

perimeter(NMC) = 80

3 0

2 years ago