Show that if p(a) ⊂ p(b) then a ⊂ b.
<span>I will assume p() means power set. </span>
<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.
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Answer:
m∠1 = 25° (opposite angles are congruent)
m∠2 = 87° ⇒ 180 - (25 + 68)
m∠3 = 68° ⇒ 180 - (87 + 25)
Hope this helps!
The relative frequency of female mathematics majors will be 0.5142.
<h3>How to find the relative frequency?</h3>
The proportion of the examined subgroup's value to the overall account is known as relative frequency.
A sample of 317 students at a university is surveyed.
The students are classified according to gender (“female” or “male”).
The table is given below.
Then the relative frequency of female mathematics majors will be
⇒ 36 / (36 + 34)
⇒ 36 / 70
⇒ 0.5142
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Answer:
k = 4
Step-by-step explanation:
16k = 16(4) = 64 and
64 = 4 × 4 × 4
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
= ![\sqrt[3]{4^{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E%7B3%7D%20%7D)
= 4