Answer:
Step-by-step explanation:
Find the missing side of the right triangle by Pythagorean theorem:
The answer would be this over the hypotenuse.
Answer: The margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%)
Step-by-step explanation:
Given : A New York Times poll found that 47% of the women said they do not get enough time for themselves.
The poll announced a margin of error of ± 3% for 95% confidence in its conclusions.
A margin of error gives that value of percentage error of in results by which any random value will differ from the real population value.
Here the margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%).
Answer:
96
Step-by-step explanation:
This is an educated guess. If you think about it, when you draw a 12x8 rectangle, youre just finding the area╮(╯▽╰)╭
Given that <span>a
city grid of Anytown, USA is shown on the grid below. The fire
department is represented by quadrilateral RSTU. Another fire department
is opening in a different part of the city to maximize fire protection.
The size of the new department's property must be congruent to the
older department. Vertices A and B are plotted on the grid to represent
two vertices of the new fire department quadrilateral ABCD.
Map of Anytown; the line y equals 7 is Main Road; the line y equals 3 is
Rose Lane; the line y equals negative 1 is Crystal Avenue; the line x
equals negative 4 is Brick Street; the diagonal line is Dogwood Drive;
Old Fire Department forms quadrilateral with ordered pairs R at negative
4, 7, S at negative 1, 7; T at negative 1, 3; U at negative 4, 3; A is
at 4, negative 1 and B is at 1, negative 1
Recall that t</span><span>wo shapes are said to be congruent if the lengths of the sides and the angles are the same.
For quadrilateral RSTU to be congruent to quadrilateral ABCD, then RS = AB, RU = AD, ST = BC and TU = CD
Also, the figure ABCD is a result of a rigid body translation of the figure RSTU.
Given that R is at point (-4, 7) and A is at point (4, -1), also given that S is at point (-1, 7) and B is at point (1, -1).
It can be seen that points AB is a result of refrecting points RS across the y-axis and then shifting the resulting points down by 8 units.
Thus, given point T as (-1, 3) and point U as (-4, 3), refrection of points T and U across the y-axis will result in points (1, 3) and (4, 3), then shifting the resulting points down by 8 units will result to points (1, -5) and (4, -5)
Therefore, the ordered pairs representing vertices C and D of
quadrilateral ABCD so that the new fire department is congruent to the
old fire department are C(1, -5) and D(4, -5).</span>
