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In-s [12.5K]
2 years ago
5

Lori is running in a marathon, which is 35.6 miles long. So far, she has run one-tenth (1/10) of the marathon. How far did Lori

run?
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
7 0
If lori finishes the race she would have ran 35.6 miles
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F(x)=−7x−1 <br> f(____)= -8
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-8 = -7x-1
bring -1 to the other side as we are isolating for x so it will be
-7 = -7x then divide -7 from each side
-7/-7 = (-7/-7)x
1 = x

Answer is f(1)= -8
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3 years ago
Please help me i’m stupid
dimaraw [331]

Answer:

6 hours

Step-by-step explanation:

if it costs 12 dollars to rent it at first then that subtracts 12 dollars from the total 30.

this leaves you with 18 buck, divide 18 by 3 and you get 6, she had it for 6hours

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3 years ago
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Listed below are the numbers of heroic firefighters who lost their lives in the United States each year while fighting forest fi
Marysya12 [62]

Answer:

Step-by-step explanation:

Hello!

Data

Year/Firefighters

2000: 20

2001: 18

2002: 23

2003: 30

2004: 20

2005: 12

2006: 24

2007: 9

2008: 25

2009: 15

2010: 8

2011: 11

2012: 15

2013: 34

<u>Common measures of variation</u>

<u>Variance</u>

S²= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]

∑X= 20 + 18 + 23 + 30 + 20 + 12 + 24 + 9 + 25 + 15 + 8 + 11 + 15 + 34

∑X= 264

∑X²= 20² + 18² + 23² + 30² + 20² + 12² + 24² + 9² + 25² + 15² + 8² + 11² + 15² + 34²

∑X²= 5770

n= 14

S²= \frac{1}{13}[5770-\frac{(264)^2}{14} ]

S²= 60.90

<u>Standard deviation</u>

The standard deviation is the square root of the variance

S= √S²= √60.90= 7.80

<u>Coefficient of variation</u>

Is a relative standard deviation, it is defined as the division of the standard deviation (S) by the mean (X[bar)]. It has not units and is usually expressed in percentage. It shows the variability in relation to the mean.

C.V.= \frac{S}{X[bar]}*100 = \frac{7.80}{18.86}*100= 41.36%

The mean or average is a measurement of position and gives you an idea of the central value of the distribution of the data.

X[bar]= ∑X/n= 264/14= 18.86

<u>Range</u>

In the interval between the max and min values. It allows you to have an idea of the dispersion of the values.

R= Xmax - Xmin= 34 - 8= 26

Xmax= 34

Xmin= 8

<u>Inter Quartile Range</u>

Is the difference between Quantile 1 (C₁) and Quantile 3 (C₃). It shows the 50% mid values of the sample.

IQR= C₃ - C₁= 23.5 - 11.5 = 12

Quantile 1 (C₁) is the value that leaves 25% of the sample below and 75% of the sample above.

Pos1: n/4= 14/4= 3.5

The first quantile is the number between position 3 and position 4

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₁= (11+12)/2= 11.5

Quantile 3 (C₃) is the value that leaves 75% of the sample below and 25% of the sample above.

Pos3: n*3/4= 14*3/4= 10.5

The third Quantile is between position 10 and 11

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₃= (23+24)/2= 23.5

The measurements of variation don't allow you to know the origin of the data, that it is from consecutive years.

I hope it helps!

6 0
3 years ago
How to measure and find the circumcenter of a triangle
Nadusha1986 [10]
Circumcenter Calculator

Circumcenter of triangle can be defined as the point where the three perpendicular bisectors of the sides of the triangle meet. The distance of vertices of triangle is equal to circumcenter.

It is the single point where the perpendicular bisectors of the three sides of the triangles meet .
It is basically the point of concurrency inside the triangle.
The distance of circumcenter from the three vertices of triangle are equal.
It is used to draw the circum circle , infact it is the center of the circumcircle formed.
There is a unique circumcenter possible for each and every triangle.
Circumcenter Calculator is used to calculate the circumcenter of the triangle, if three coordinates are given.
Please mark braileist I only need one
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3 years ago
Can someone help? Need to turn in tomorrow!
dusya [7]

You have to find what x is to do all of them

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