Answer:
Each section below
Step-by-step explanation:
(a) Add all frequencies together = 200, then add 1 and divide by 2 = 100.5, lastly you need to add each frequency until you find the interval that contains the 100th and 101st height.
23+47 = 70
70+45 = 115 -> so the answer is 10<h<u><</u>13
(b) Step 1: find the midpoint of each interval (upper limit+lower limit then divide by 2)
(2+6)/2 = 4
(6+10)/2 = 8
(10+13)/2 = 11.5
(13+17)/2 = 15
(17+19)/2 = 18
(19+20)/2 = 19.5
Step 2: multiply the midpoint of each interval with it's frequency
4*23 = 92
8*47 = 376
11.5*45 = 517.5
15*38 = 570
18*32 = 576
19.5*15 = 292.5
Step 3: add all of the above and divide it by the total frequency
92+376+517.5+570+576+292.5 = 2424
2424/200 = 12.12 (this is your answer to part b)
Hope this helped :)
Answer:
x=0 x=-5 x=2
Step-by-step explanation:
4x3 + 12x2 = 40x
Subtract 40x from each side
4x3 + 12x2 - 40x=0
Factor out 4x from each term
4x( x^2 +3x-10) =0
Factor the term insdie the parentheses
What 2 numbers multiply to -10 and add to 3
5*-2 =-10
5+-2 =3
We have (x+5) (x-2)
Replace that in the equation
4x ( x+5) (x-2) =0
Using the zero product property
4x= 0 x+5 =0 x-2 =0
x=0 x=-5 x=2
Answer:
3r + 4t = 80
Step-by-step explanation:
Roses cost $3 each, tulips cost $4 each
83+83+2x=362
166+2x=362
2x=196
length = 98
6716÷92=73
width = 73