Step-by-step explanation:
<u>Step 1: Convert improper fraction into a mixed number</u>




Answer: 
Answer:
268 cm^2
Step-by-step explanation:
Pink prism:
top: 2 cm * 2 cm = 4 cm^2
right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2
bottom: completely covered in connection to green prism
Total surface area of pink: 52 cm^2
Green prism:
bottom: 10 cm * 5 cm = 50 cm^2
front, back: 2 * 10 cm * 4 cm = 80 cm^2
right, left: 2 * 5 cm * 4 cm = 40 cm^2
top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2
Total surface area of green: 216 cm^2
Total surface area of composite solid:
52 cm^2 + 216 cm^2 = 268 cm^2
Answer:
360.124 in expanded and exponential form :
300+60+1/10+2/100+4/1000
Answer:
0.8
Step-by-step explanation:
Given that, the green skin (G) is dominant to yellow (Y). Cross between the green creature and yellow creature will have the offspring with the following genotypes.
Gg* yy = Gy, Gy, gy, gy (Means, 1:1 ratio of green and yellow offspring, but the observed values are in 3:2 (12:8) ratio).
Now, the Chi-square value can be calculated as follows. (O= Observed, E= Expected)
See attachment for the chi square
Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)