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Ostrovityanka [42]
3 years ago
5

Prove that quadrilateral Q(1, -2), D(13, 4), A(6, 8) and U(-2, 4) is a trapezoid.  Slope of AD ___________ Slope of  QD ________

___   Slope of UA ___________ Slope of QU___________ Which segments are parallel?_____________________ Which segments are perpendicular?________________  Is the quadrilateral a trapezoid?  Explain how you know.​
Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

slope of ad is-7/4

slope of qd is 2

slope of ua is 2

slope of qu -1/2

the segments qu and qd are perpendicular

qd and ua are parallel

the lines QD and UA have same slope so it is a trapezoid

Step-by-step explanation:

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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:

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B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0
3 years ago
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