<span>E = {x|x is a perfect square between 1 and 9} = {1,4
</span><span>F = {x|x is an even number greater than or equal to 2 and less than 9}
</span><span>D = {x|x is a whole number}
</span>
answer
D ∩ (E ∩ F) = 4
Answer:
Step-by-step explanation:
area of side surface=50×20+20×35=1000+700=1700 m²
voume of solid=1700×12=204,00 m³
Answer:
![8-6i](https://tex.z-dn.net/?f=8-6i)
Step-by-step explanation:
Multiply out
in order to find out which expression it is equivalent to.
1) Since the whole quantity is squared, write it out as
.
![(3-i)^2\\(3-i)(3-i)](https://tex.z-dn.net/?f=%283-i%29%5E2%5C%5C%283-i%29%283-i%29)
2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.
![(3-i)(3-i)\\9 - 3i - 3i + i^2](https://tex.z-dn.net/?f=%283-i%29%283-i%29%5C%5C9%20-%203i%20-%203i%20%2B%20i%5E2)
![9 - 6i + i^2](https://tex.z-dn.net/?f=9%20-%206i%20%2B%20i%5E2)
3)
, so
must be
. Thus,
is equivalent to -1. Knowing this, simplify and combine like terms.
![9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))](https://tex.z-dn.net/?f=9%20-%206i%20%2B%20%28%28-%5Csqrt%7B1%7D%20%29%28%5Csqrt%7B-1%7D%20%29%29)
![9 - 6i -1\\8 - 6i](https://tex.z-dn.net/?f=9%20-%206i%20-1%5C%5C8%20-%206i)
Thus, it is equivalent to
.
How much space is on an shape
Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits;
60 90 92 58
data sample = 300
Expected
= 300 / 4 = 75
the x² test statistic = ?
= ∑[ (
-
)²/
]
= [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
= [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
= 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.