Answer:
(a) 5
(b) 3rd quartile
(c) 2nd quartile
Step-by-step explanation:
There are four quartiles in a box plot <em>(or box and whisker plot).</em>
The 1st is from 5 to 13
The 2nd is from 13 to 35
The 3rd is from 35 to 40
The 4th is from 40 to 48
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(a) The lowest that this box plot goes is 5 <em>(between the 4 and 6)</em>
(b) 3rd quartile — we can see that the left and right borders are close together, meaning that the data values for this quartile are close together, and therefore concentrated
(c) 2nd quartile — we can see that this quartile is the widest, and therefore the data values are spread out
1: 19 (4x+25=6x -13, solve for x, 25+13=6x-13, 38=2x, x=19, 4(19)+25=101 6(19)-13+101)
2: 23 (3x-8=2x+15)
3: Madison has $59 and Saul has $31 (together they have $90 so divided by 2 and you get 45, Madison has 6 dollars more so subtract 6 from Saul and ad 6 to Madison, make sure that when you ad them you get $90)
4 : 5 weeks ($3 each week, so you multiply 3x5 and get 15. 15+57=72 but the problem says more then so maybe it’s 6 weeks cause that’s $75)
5: 10 weeks (he has 1,800 and needs 2,150, subtract 1,800 from 2,150 for how much he needs. You get 350. He needs that and he makes 35 a week so that would be 350 divided by 35, which is 10)
6:20 miles (it’s 2.25 for that’s first mile. He spent 6.05 so subtract 2.25 from 6.05 and you get 3.80, 3.80 divided by 0.20 is 19, then you need to add that first mile and it’s 20)
7: 6 figures in a complete set (Charlie starts out with 2 and Patrick starts out with 20 individual figures. Charlie has 6 sets and Patrick has 3, i multiplied the number of sets they had by 6 then added their individual figures until they numbers matched up)
8: an orange has 45 calories and an apple has 75 calories (5x-150=3x, 5x-3x= -2x, -2x divided by -150 = 75, 75-30 is 45. 75 is the apple and because it’s 30 more you subtract 30 for orange)
Given two coordinates point 1 as (-23,-14) and point 2 as(-18,2).
To find the midpoint we would use the formula below;
Where x1=-23, x2=-18, y1=-14, y2=2
We would substitute the values into the midpoint formula.
Therefore, the answer is
Option c is correct. Use special right triangles and you will findout why. Hint:Use the 45-45-90 special right triangle's properties.
25.2:360 ::x:5100
Or 25.2 x ------=----- then cross multiply, 360x=5100*25.2
