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2 years ago

9

How many ways can five distinct paperback books and one hardcover book be arranged on a shelf if the hardcover must be the right

most book on the shelf?

2 answers:

maxonik [38]2 years ago

5 0

Answer:

a number of ways

Step-by-step explanation:

tyg

san4es73 [151]2 years ago

3 0

Answer:

120 choices

Step-by-step explanation:

giving 5×4×3×2×1=120 choices for arranging the books (from left to right).

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Answer:

19. C

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If an angle is subtended from an arc and it goes to the opposite end of the circle, the angle is HALF of the measure of the arc. If it goes to the center, it is SAME measure as arc.

19.

Arc BC is DOUBLE of Angle BAC, so

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2 years ago

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

<u><em>verification </em></u>:-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

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2 years ago

A local grocery store chain has a sushi stand. That sushi stand makes samples for store customers to entice customers to purchas

Liula [17]

Answer: 0.99822

Step-by-step explanation:

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Let X=inter-arrival time between two customers

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Now the Poisson distribution has PDF = $\frac{\exp ^{-\lambda }\times \lambda ^{X}}{X!}$

So P(X = 0) = $\frac{\exp ^{-0.233}\times 0.233^{0}}{0!}$ = 0.79215

P(X= 1) = $\frac{\exp ^{-0.233}\times 0.233^{1}}{1!}$ = 0.18457

P(X=2) = $\frac{\exp ^{-0.233}\times 0.233^{2}}{2!}$ = 0.02150

Now adding all three probability gives = 0.79215 +0.18457 + 0.02150=0.99822

3 0

3 years ago