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Margarita [4]
2 years ago
9

A manager receives 8 applications for a specific position. She wants to narrow it down to 5. In how many ways can she rank 5 app

lications?
Mathematics
1 answer:
nata0808 [166]2 years ago
7 0

Answer:

56 number of ways

Step-by-step explanation:

This question is a combination question since it involves selection.

Generally, if r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If a manager receives 8 applications for a specific position and wants to narrow it down to 5, the number of ways he can do this is 8C5

8C5 = 8!/(8-5)!5!

= 8!/3!5!

= 8*7*6*5!/3*2*5!

= 8*7*6/3*2

= 8*7

= 56 number of ways.

This means that the manager can rank 5 applications in 56 number of ways

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olga2289 [7]
Answer:
If she walks 5 blocks and it takes 10 minutes each block takes 2 minutes to walk.

10
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4 0
2 years ago
What’s the angle it’s looking for ?
Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))

$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)

$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)

Multiply by 2 on both sides, we get

$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)

$\Rightarrow 4x+90=2x + 90

Subtract 90 from both sides.

$\Rightarrow 4x+90-90=2x + 90-90

$\Rightarrow 4x=2x

Subtract 2x from both sides.

$\Rightarrow 4x-2x=2x-2x

$\Rightarrow 2x=0

$\Rightarrow x=0

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

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              = 45

Therefore m∠NMK = 45.

8 0
2 years ago
During a 5-kilometer run to raise money for the school band, Tabitha ran 0.08 kilometer per
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Answer:

True

0.08 km/ 1 min = 1 mi = 1.61 km

answer rounds to 0.05

7 0
2 years ago
When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounc
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Answer:

<em>Hi There!</em>

Answer:

The hot coca mad by Eli is more chocolaty because it has more chocolate in lesser amount of water.

Because, Arjun takes quantity of chocolate = 20 mL

<em><u>Choice 1.</u></em>

Arjun takes quantity of water = 33 ounces

The Chocolate to Water ratio is

Chocolate : Water = 20 : 33

Dividing by 20, We get

Chocolate : Water = 1 : 1.65

<u><em>Choice 2.</em></u>

Arjun add 1 ml of chocolate in 1.65 ounces of water.

Eli takes quantity of chocolate = 45 mL

Eli takes quantity of water = 66 ounces

The Chocolate to Water ratio is

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<em>Good Luck!</em>

6 0
2 years ago
There are 5 Snickers, 10 Baby Ruths, 13 Milky Ways, 12 Twixs and17 Almond Joys in a bowl of candy. You reach into the bowl and r
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Answer: 0.2415

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\Rightarrrow\ p=\dfrac{13}{57}\approx0.23

Using Binomial distribution , the probability of getting success in x trials is given by:-

P(x)=^nC_xp^x(1-p)^{n-x}, where p uis probability of success in each trial and n is sample size.

If you randomly select n= 5 candy bars, then the probability you select exactly 2 Milky Way bars Will be :_

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Hence, the probability you select exactly 2 Milky Way bars = 0.2415

8 0
2 years ago
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