The area of a rectangular banquet hall is 7400 square feet the length of one side is 82 square feet blade how you can use compatible numbers to estimate the width of the hall

Step-by-step explanation:

Width of rectangle = 90 approximately.

Step-by-step explanation:

Since we have given that

Area of a rectangular banquet hall = 7400 square feet

Length of rectangular banquet hall = 82 feet

Since we know the formula for area of rectangle i.e.

7,400=82 x breadth

7,400/82=breadth

90.24 feet=breadth

If we round it to hundredths after decimal then, it becomes

Width of rectangle= 90.2 feet

If we want it to be whole number then it will be considered it as

Width of rectangle= 90 feet approximately.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

two data sets with the same median will not have the same varaibility

step-by-step explanation: