4n<16 ; {1, 2, 3, 4} Select each correct answer. 1 2 3 4

victus00 [196]

1/2 1/20 and 2 is the correct answer

5 0

3 years ago

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied y

ioda

Answer:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

$s= \sqrt{856849.7}=925.662$

Step-by-step explanation:

For this case we can create the following table

Interval Frequency (f) Midpoint(xi) xi *f xi^2* f

0-499 9 249.5 2245.5 560252.3

500-999 13 749.5 9743.5 7302753

1000-1499 33 1249.5 41233.5 51521258.25

1500-1999 115 1749.5 201193.5 361986278.8

2000-2499 125 2249.5 281187.5 632531281.3

2500-2999 81 2749.5 222709.5 612339770.3

3000-3499 47 3249.5 152726.5 496284761.8

3500-3999 45 3749.5 168727.5 632643761.3

4000-4499 22 4249.5 93489 397281505.5

4500-4999 10 4749.5 47495 225577502.5

Total 500 1220750 3408029125

$\sum f_i = 500 , \sum x_i f_i = 1220750, \sum x^2_i f_i = 3408029125$

For this case we can calculate the sample mean with this formula:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

And for the sample variance we can use the following formula:

$s^2= \frac{\sum x^2_i f_i - \frac{(\sum x_i f_i)^2}{n}}{n-1}$

And if we replace we got:

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

And the deviation is just the square root of the sample variance and for this case is:

$s= \sqrt{856849.7}=925.662$

4 0

3 years ago

How many times larger is 8 x 108 than 4 x 102?

rjkz [21]

8 x 108 = 864
4 x 102 = 408

if you subtract 864 and 408, then you get 456. so there is your answer!

4 0

3 years ago

the length of a rectangle is 4cm less than twice it’s width. the perimeter of the rectangle is 34 cm. what are the dimensions of

iragen [17]

Answer:

w=width

l= 2w-4

perimeter of a rectangle = 34

34 = 2(2w-4+w)

34 = 4w-8+2w

34 = 6w-8

6w = 34+8

6w = 42

w = 42/6

width = 7

length = 2w-4

= 2(7)-4

= 14-4

= 10

3 0

3 years ago

Linley rode her scooter for 1/3 hour and traveled 2 1/6 kilometers. What is her average speed in kilometers per hour

34kurt

To find kilometers per hour, we need to multiply 2 1/6 by 3, because it took Linley 1/3 hour to ride that far.

2 1/6 * 3 = 6 1/2

So, her average speed in kilometers per hour is 6 1/2 kph

8 0

3 years ago