Answer:
No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.
Step-by-step explanation:
Answer:
Volume = Length × Width × Height
Step-by-step explanation:
A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a right rectangular prism, we use the following expression.
Volume = Length × Width × Height
Answer:
%30 off is the better price
Step-by-step explanation:
firstly we know that 2 - 12 is equal to 10 so that is $10.00 there from that coupon
to find out the second value, we first devide by the total amount (%100 in this case)
<em>12 / 100 = 10.12</em>
then we multiply by the partial amount (%30)
<em>0.12 * 30 = 3.6</em>
convert that into a dollar amount and we get the total discount in dollars
<em>3.60 = $3.60</em>
AND
<em>$3.60 > $2.00</em>
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hope this helps ya, take care mate :D
Answer:
Step-by-step explanation:
Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.
Sample proportion = 
To find 90% confidence interval we must find std error of proportion first
As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753
Std error of proportion= 
90% Z critical value = 1.645
Margin of error = 1.645*0.01363 = 0.0224
Confidence interval lower bound = 0.753-0.0224=0.731
Upper bound = 0.775