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2 years ago

I need help solving this

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

5 0

11, 13, and 16. sorry if im wrong, and i hope this helps.

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In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa

Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

Hence, the required number of ways =27434

5 0

2 years ago

How much time has<br> Passed from 6:25.Am<br> Unitil 10:25 pm

stealth61 [152]

16 hours has passed

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2 years ago

Find a formula for the nth term in this arithmetic sequence first term -2 common difference an=

malfutka [58]

The formula for the problem is: An = 8(n-1) - 2

3 0

1 year ago

PLEASE HELP DUE TOMMOROW!!!!!

Marta_Voda [28]

Let X= # of days, y= finial cost. Part A= 12+7x=y. Part B= 12+7(18)= $138. Part c= 12+7(187)= $1,321

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2 years ago

Sam made a model of the Liberty Bell with a

natali 33 [55]

Answer:

1 : 18

Step-by-step explanation:

When finding scale factor, both measurements should in same unit

Circumference of the model bell = 8 inches

1 feet = 12 inches

12 feet = 12 * 12 = 144 inches

Circumference of the actual bell = 12feet = 144 inches

Model : Actual = 8 : 144

= 8÷8 : 144÷8

= 1 : 18

4 0

2 years ago