Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
<span>First and third results are coherent. They both represent a probability of 0.9. Because 9 out of 10 is 9/10 = 0.9, and 135 out of 150 = 135 / 150 = 0.9. Nevertheless, second result is not coherent because 32 out of 50 is 32/50 = 0.64. I think this number must be discarded, and use 0.9 as the experimental probaility. That means that for 300 trials you should obtain x / 300 = 0.9 => x = 0.9 * 300 = 270. Then, the answer is that you can expect that a yellow ball will be selected 270 times out of 300. </span>
Answer:
(a/2) ^4 or a^4/16
Step-by-step explanation:
(8a^-3)^-4/3
split into two parts
8^ -4/3 * (a^-3)^-4/3
using the power to the power rule we can multiply the exponents
8^(-4/3) *a^(-3*-4/3)
8^ (-4/3) * a^(4)
replace 8 with 2^3
(2^3)^(-4/3) * a^(4)
using the power to the power rule we can multiply the exponents
2^(3*-4/3) * a^(4)
2 ^ (-4) * a^4
the negative exponent means it goes in the denominator if it is in the numerator
a^4/2^4
make a fraction
(a/2) ^4
or a^2/16
No because they are unregular shape
