A family has 8 girls and 4 boys. A total of 3 children must be chosen to speak on the behalf of the family at a local benefit. What is the probability that no girls and 3 boys will be chosen?
D. 1/55.<span />

6 0

3 years ago

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Find the right quotient. 36m 5 n 5 ÷ (12m 3)

polet [3.4K]

ANSWER

The right quotient is

$3 {m}^{2} {n}^{5}$

EXPLANATION

The given expression is :

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} }$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = \frac{36}{12} \times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3\times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

Recall that,

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$
We apply this property to obtain;

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 \times {m}^{5 - 3} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 {m}^{2} {n}^{5}$

5 0

2 years ago

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Using this diagram, select the pair of lines that must be parallel.

Bas_tet [7]

Answer:

The answer would be D: d || f.

Step-by-step explanation:

Since the angles 4 and 7 are parallel, it would make sense for the lines that the angles are on to be parallel as well.
It just so happens that line d and line f are completely parallel to each other and angles 4 and 7 are on the lines. So the answer would be D.

7 0

3 years ago