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2 years ago

What is the range of the heights of the girls?

Mathematics

1 answer:

Softa [21]2 years ago

8 0

Answer:

Formula of range is HIGHEST VALUE - LOWEST VALUE....

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Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

Kaylis [27]

$\Rightarrow$

Suppose first that $H\subset G$ is a normal subgroup. Then by definition we must have for all $a\in H$ , $xax^{-1} \in H$ for every $x\in G$ . Let $a\in G$ and choose $(ab)\in aH$ ( $b\in H$ ). By hypothesis we have $aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H$ , i.e. $aba^{-1}=c$ for some $c\in H$ , thus $ab=ca \in Ha$ . So we have $aH\subset Ha$ . You can prove $Ha\subset aH$ in the same way.

$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .

5 0

3 years ago

Which Venn diagram has shading that represents the union of set G and set I?<br> answer plslsls

Ad libitum [116K]

Answer:

B or the second diagram

Step-by-step explanation:

<u>The sets as per diagrams are as follows</u>

1. Intersection of G and I
2. Combination of G and I
3. Combination of G and I excluding H
4. Combination of G and I excluding common region

7 0

2 years ago

please help! this is for a grade and its overdue!!!!!!!! If the blueprint is drawn on the coordinate plane with vertices (1, 5)

viktelen [127]

Answer:

50 \sqrt[]{2} feet

Step-by-step explanation:

Given the vertices (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

7 0

3 years ago

Read 2 more answers

max has 623.22 in his checking account and a check that he wrote to his landlord for 625.00 was just deposited. This will result

Marta_Voda [28]

Max will be missing $1.78 in his account. Is that one of the fee choices?

8 0

3 years ago