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yawa3891 [41]
3 years ago
13

11. a television store owner figures that 45 percent of the customers entering his store will purchase an ordinary television se

t, 15 percent will purchase a plasma television set, and 40 percent will just be browsing. if 5 customers enter his store on a given day, what is the probability that he will sell exactly 2 ordinary sets and i plasma set on that day?
Mathematics
1 answer:
agasfer [191]3 years ago
8 0
Using the binomial distribution:
P(2 out of 5 buy ordinary TV) = 5C2 \times 0.45^{2} \times0.55^{3} =0.337
P(1 out of 5 buy plasma TV =5C1\times0.45\times0.55 ^{4} =0.206
The events are mutually exclusive, therefore the probability of both occuring is:  0.337 + 0.206 = 0.543


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Answer:

1) tanФ = 0.8392 ⇒ 2nd answer

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3) cosФ = -√2/2 , cotФ = -1 ⇒ first answer

Step-by-step explanation:

* At first check the quadrant of the angle

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* Remember in the 3rd quadrant tanФ and cotФ only positive

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* Substitute this value in the equation

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∴ tanФ = 0.8392

* At first check the quadrant of the angle

∵ 0° < Ф < 90°

∴ Ф lies on the first quadrant

* Remember in the 1st quadrant all are positive

∵ sinФ = 21/29

∵ sin²Ф + cos²Ф = 1

∴ (21/29)² + cos²Ф = 1 ⇒ subtract (21/29)² from both sides

∴ cos²Ф = 1 - (21/29)² = 400/841 ⇒ take √ in both sides

∴ cosФ = ± 20/29

* Because Ф lies in the 1st quadrant

∴ cosФ = 20/29

* Remember that when the point is at the terminal side of angle Ф

∴ Its x-coordinate is cosФ

∴ Its y-coordinate is sinФ

* The point is (-√2/2 , √2/2)

∵ x-coordinate is negative ad y-coordinate is positive

∴ the point is on the 2nd quadrant

∴ 90° < Ф < 180°

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* From previous we know that:

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∴ sinФ = √2/2

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∴ cotФ = -√2/2 ÷ √2/2 = -√2/2 × 2/√2 = -√2/√2 = -1

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3 0
3 years ago
On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad
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Answer:

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Step-by-step explanation:

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Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

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Now plug x equals into the first equation, and solve for y.

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x+y=477

x+265=477

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