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Angelina_Jolie [31]
3 years ago
8

Please help will mark brainliest PLZZZZZZzzz

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The reciprocal of a number n is \frac{1}{n}

(a)

1 \frac{6}{7} ← change to an improper fraction

= \frac{13}{7}

Then its reciprocal is \frac{1}{\frac{13}{7} } = \frac{7}{13}

(b)

The reciprocal of \frac{7}{13} is \frac{1}{\frac{7}{13} } = \frac{13}{7} = 1 \frac{6}{7}

(c)

Each is the reciprocal of the other

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A search committee is formed to find a new software engineer.
Free_Kalibri [48]

Answer:

(a) 1,902,231,808,400

(b) 84

(c) 20

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot(n-k)!}

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

{100\choose 9}=\frac{100!}{9!\cdot(100-9)!}

        =\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400

(b)

Compute the number of ways to select 6 people from 9 as follows:

{9\choose 6}=\frac{9!}{6!\cdot(9-6)!}

        =\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84

(c)

Compute the number of ways to select top 3 candidates from 6 as follows:

{6\choose 3}=\frac{6!}{3!\cdot(6-3)!}

        =\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20

7 0
3 years ago
9+___=10<br> 1+____=10<br> 200+500+2000-3000
Paladinen [302]

Answer:

1

Step-by-step explanation:

8 0
3 years ago
Bruce owns a small grocery store and charges $4.75 per pound of produce. If a customer orders 5 pounds od produce how much does
andriy [413]
He charges 4.75 per lb....

so 5 lbs would cost (5 * 4.75) = $ 23.75 <==
7 0
4 years ago
Find the coordinates for the midpoint of the segment with endpoints given. (5,6) and (8,2)​
likoan [24]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{8+5}{2}~~,~~\cfrac{2+6}{2} \right)\implies \left( \cfrac{13}{2}~,~\cfrac{8}{2} \right)\implies \left(6\frac{1}{2}~,~4 \right)

6 0
3 years ago
Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup rate of 125%, which is added to the
slega [8]

Answer:

$18.00

Step-by-step explanation:

8 x 1.25 = 10

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5 0
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