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2 years ago

15

Mathematics

1 answer:

Makovka662 [10]2 years ago

6 0

Answer:

Option A ( -3/2 , $\frac{-3\sqrt{3} }{2}$ )

Step-by-step explanation:

According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .

Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation

Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)

(For Diagram, Please Find in attachment)

Now In Triangle OAB

Cos60* = OA / OB

1/2 = -X / 3 Thus X= -3/2

Sin60* = AB / OB

$\sqrt{3}$ /2 = -Y / 3 Thus Y = - $\sqrt{3}$ * 3 /2

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Answer:

4.5ft per side

Step-by-step explanation:

square has four equal sides and is L times w times h= A but we have A= 18 already so you reverse and divide so

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3 years ago

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Positive correlation.

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2 years ago

Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as th

IgorLugansk [536]

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

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Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

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B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

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2 years ago

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Answer:

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scale of 1 inch : 12 feet represent the scale of a space shuttle.

It means it has a representation of 1 inch on paper then actual = 12 feet.

But then if the paper(model) changes to 5.5 inches. The actual representation on land will be

Let me write out the equation

1 inch = 12 feet

5.5 inch =( 5.5 inch *12 feet)/1 inch

5.5 Inch= 5.5 * 12 feet

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3 years ago

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Amanda [17]

Answer:

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Step-by-step explanation:

a) there are four different slots, and for the first three slots there are a possibility for 10 different numbers and in the last slot there can only be 5 different numbers. So you get 10 x 10 x 10 x 5 which leaves you with 5,000 possibilities

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3 years ago