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uranmaximum [27]
3 years ago
5

A triangle has vertices on a coordinate grid at N (7,3), 0(-8, -3), and

Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

d\approx 16.16\ units

Step-by-step explanation:

<u>Distance Between two Points in the Plane</u>

Given two points A(x,y) and B(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

The triangle formed by the points N (7,3), 0(-8, -3), and  P(-8,-8) is shown in the image provided.

We are required to find the distance between N and O:

d=\sqrt{(-3-3)^2+(-8-7)^2}

d=\sqrt{(-6)^2+(-15)^2}

d=\sqrt{36+225}

d=\sqrt{261}

Since 261=9*29:

d=3\sqrt{29}

\mathbf{d\approx 16.16\ units}

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The data show systolic and diastolic blood pressure of certain people. Find the regression​ equation, letting the first variable
MakcuM [25]

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0
3 years ago
The number of hearing aids that needs to be produced and sold is??
juin [17]

Answer:

14.36 AND 9.89 ===> 14 or 10

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  -4 97 -568

   

Standard Form: y = -4x²+97x-568    

-24.25 -12.125 147.015625 -588.0625 20.0625

Grouped  Form: No valid Grouping      

   

Graphing Form: y = -4(x-12.13)²+20.06    

     

Factored Form: PRIME    

   

Solution/X-Intercepts: 14.36 AND 9.89    

   

Discriminate =321 is positive, two real solutions    

   

VERTEX: (12.13,20.06)     Directrix: Y=20.13    

7 0
3 years ago
Will u help me?
sergey [27]

Answer:

Charles practiced for the relay race for D. 9 hours last week.

Step-by-step explanation:

First, I would find the ratios the ratios for converting hurdle to javelin and javelin to relay.

Hurdle : Javelin ; 5 : 1.5

Javelin : Relay ; 2.5 : 5 or  1 : 2

Next, find the factors compared to the original numbers for hurdle to javelin.

15 / 5 = 3

To find the amount of javelin time they did, multiply 1.5 by the factor we got, 3.

1.5 * 3 = 4.5

Finally, double 4.5, since Charles does twice as much relay than he does javelin.

4.5 * 2 = 9 hours

3 0
3 years ago
PLS HELP! ASAP!
Oduvanchick [21]

Answer:

i only know (d)

was -i s now

1.8 m - 0.6 m

1.2 m - 0.4 m

2.4 m - 0.8 m

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In a school, the ratio of soccer players to volleyball players is 4 : 1. The number of soccer players is how many times the numb
Stells [14]

Answer:

3

Step-by-step explanation:

Hope this helps.    :)     :D

5 0
3 years ago
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