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bonufazy [111]
1 year ago
13

Quadrilateral ABCD is plotted with coordinates A(3,7), B(6,1), C(-6,-8) and D(-5,1). Using coordinate geometry, prove that ABCD

is a trapezoid.
Mathematics
1 answer:
tiny-mole [99]1 year ago
4 0

Answer:

Step-by-step explanation:

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To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo
mars1129 [50]

Answer:

The 80% confidence interval for difference between two means is (0.85, 1.55).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for difference between two means is:

CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2,(n_{1}+n_{2}-2)}\times SE_{\bar x_{1}-\bar x_{2}}

Given:

\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25

Confidence level = 80%

t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397

*Use a <em>t</em>-table for the critical value.

Compute the 80% confidence interval for difference between two means as follows:

CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).

3 0
2 years ago
How many times can 29 fit into 790??
rosijanka [135]
It can fit 27.24 times 
4 0
3 years ago
Read 2 more answers
What is the mean of variable a<br><br><br><br><br><br>piz help me i have one more question
timama [110]
I think the mean of variable a is 4
4 0
2 years ago
What is the distance between nicholas's school and the post office?
aleksklad [387]
Part A:

Given that Nicholas's school is located at point (3, 2) and that the post office is located at point (-2, -2), then the distance between Nicholas's school and the post office is given by:

d= \sqrt{(-2-3)^2+(-2-2)^2}  \\  \\ = \sqrt{(-5)^2+(-4)^2} = \sqrt{25+16}  \\  \\  \sqrt{41} =\bold{6.4} \ units



Part B:

If Nicholas is located at point (– 3 , 2), the distance to get to the grocery store located at point (1,-1) is given by:

d= \sqrt{(1-(-3))^2+(-1-2)^2}  \\  \\ = \sqrt{(1+3)^2+(-3)^2} = \sqrt{(4)^2+9}  \\  \\ = \sqrt{16+9} = \sqrt{25} =\bold{5}
4 0
3 years ago
Consider the following vectors in component form.
Mrac [35]

Answer:

Cartesian Coordinate System

• Also called

rectangular coordinate

system

• x- and y- axes intersect

at the origin

• Points are labeled (x,y)

Polar Coordinate System

– Origin and reference

line are noted

– Point is distance r from

the origin in the

direction of angle θ,

ccw from reference

line

– Points are labeled (r,θ)

Cartesian to Polar Coordinates

• r is the hypotenuse and θ

an angle

θ must be ccw from

positive x axis for these

equations to be vali

Step-by-step explanation:

7 0
2 years ago
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