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STALIN [3.7K]
3 years ago
10

Solve the inequality -2x is less than or equal to 3x + 1 is less than or equal to 10

Mathematics
1 answer:
KatRina [158]3 years ago
3 0
-2x < = 3x + 1 < = 10

split them
-2x < = 3x + 1         3x + 1 < = 10
-2x - 3x < = 1          3x < = 10 - 1
-5x < = 1                 3x < = 9
x > = -1/5                 x < = 3

solution is : -1/5 < = x < = 3 <==
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Answer:

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Step-by-step explanation:

Given that;

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Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12   ×    [ 6     ×    [ 17

     9 ]          4 ]           13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

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b)

Number of ways of selecting 25 item from 35 items;

⇒ [ 35        

    25 ]

=

(35! / (25! 10!) = 183.579,396

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⇒ [ 12   ×    [ 6     ×    [ 17

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= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

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3 years ago
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