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MrRa [10]
3 years ago
7

How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from? 720 20,160 40,320 48?

Mathematics
2 answers:
Rudik [331]3 years ago
5 0
The number of permutations of 8 people taken 6 at a time is given by:
8P6=\frac{8!}{(8-6)!}=20,160

blagie [28]3 years ago
5 0

Answer: 28ways

Step-by-step explanation:

This has to do with selection i.e selecting 6people from pool of 8 people

Since combination have to do with selection, the selection can be done I'm 8C6 ways

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

8C6 = 8!/(8-6)!6!

= 8!/2!6!

= 8×7 × 6!/2!6!

= 8×7/2!

= 56/2

= 28ways

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A company produces a women's bowling ball that is supposed to weigh exactly 14 pounds. Unfortunately, the company has a problem
Tomtit [17]

Answer:

95% confidence interval for the variance of the bowling ball weight is between a lower limit of 13.328 pounds and an upper limit of 14.672 pounds.

Step-by-step explanation:

Confidence interval is given as weight +/- margin of error (E)

weight = 14 pounds

sample sd = 0.94 pound

n = 10

degree of freedom = n - 1 = 10 - 1 = 9

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 9 degrees of freedom and 5% significance level is 2.262

E = t × sample sd/√n = 2.262×0.94/√10 = 0.672 pounds

Lower limit of weight = weight - E = 14 - 0.672 = 13.328 pounds

Upper limit of weight = weight + E = 14 + 0.672 = 14.672 pounds.

95% confidence interval is (13.328, 14.672)

7 0
3 years ago
Read 2 more answers
The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72
Brut [27]

Answer:

The maximum number of songs that the symphonic choir can record is 14

Step-by-step explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

so

The inequality that represent this situation is

3(7)+3.5(x)\leq 72

solve for x

21+3.5x\leq 72

subtract 21 both sides

3.5x\leq 51

divide by 3.6 both sides

x\leq 14.6\ songs

therefore

The maximum number of songs that the symphonic choir can record is 14

3 0
3 years ago
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Sedaia [141]

Answer:

(3 x 2 − 2) (9 x 4 + 6 x 2 + 4)

Step-by-step explanation:

I attached a screenshot that explains more

May I ave brainliest please? :)

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sergejj [24]

If the y-coordinates of the given vertices and foci are the same, then the major axis is parallel to the x-axis. Use the standard form (x−h)2a2+(y−k)2b2=1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 . If the x-coordinates of the given vertices and foci are the same, then the major axis is parallel to the y-axis.

Hope I helped you! :)

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The diameter of a circle is 50 inches.The radius of the circle is A) 100 inches B) 25 inches C) 157 inches D) 45 inches ...so wh
klasskru [66]
The answer is B, 25 inches.
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