5 Points
The avenues in a particular city run north to south and are numbered
consecutively with 1st Avenue at the western border of the city. The streets in
the city run east to west and are numbered consecutively with 1st Street at
the southern border of the city. For a festival, the city is not allowing cars to
park in a rectangular region bordered by 5th Avenue to the west, 9th Avenue
to the east, 4th Street to the south, and 6th Street to the north. If x is the
avenue number and yis the street number, which of the following systems
describes the region in which cars are not allowed to park?
5th

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12