Scale = 1cm:3km
Therefore area of lake = 81Km
1:3 = x:81
= 27:81
Therefore the area on map is 27cm
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Answer:
13.36
Step-by-step explanation:
I will first create a table
X. Y. XY. X²
1. 20. 20. 1
2. 24. 48. 4
3. 35. 105. 9
4. 46. 184. 16
5. 67. 335. 25
6. 80. 480. 36
1. 12. 12. 1
2. 34. 68. 4
3. 34. 102. 9
5. 78. 430. 25
ΣX = 32
ΣY = 430
ΣXY = 1744
ΣX² = 130
n = 10
The formula for regression line is given as :
Y = a + bX
a = intercept
b = slope
The question requires us to find b which is the slope.
b = nΣXY-ΣXΣY/nΣX²-(ΣX)²
= 10x1744-32x430/10x130-(32)²
= 17440-13760/1300-1024
= 3680/276
= 13.36
b = 13.36
10 <0.25 (x + 1) <11
We must solve two inequalities in this case.
Inequality 1:
10 <0.25 (x + 1)
10 / 0.25 <x + 1
40 <x + 1
40-1 <x
39 <x
Inequality 2:
0.25 (x + 1) <11
(x + 1) <11 / 0.25
(x + 1) <44
x <44-1
x <43
The final result is:
39 <x <43
Answer:
39 <x <43
Answer:
384
Step-by-step explanation:
24 bouquets * 16 flowers = 384 flowers
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We can distribute
2(5)+2(-x)=10-2x
we get
8+10-2x=?
18-2x=?
whatever that ? is, we don't know
multiply both sides by -1
2x-18=-?
add 18 to both sides
2x=18-?
divide bth sides by 2
x=9-(?/2)
whatever the left side it, just divide it by 2 and subtract it from 9