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inn [45]
3 years ago
14

19. Students at a certain school can enroll in one elective course: painting, theater, choir, or band. This two-way frequency

Mathematics
1 answer:
san4es73 [151]3 years ago
5 0

Answer:

19.0%

Step-by-step explanation:

The probability that a student in the sample data is enrolled in painting Given that the student is female is a conditional probability and can be defined as :

Let,

F = Female ; P = painting

P(Painting Given female) = P(P|F) = (PnF) / F

From the table :

(PnF) = 16

F = 84

Hence,

P(P|F) = 16 / 84 = 0.19047 = 0.19047 * 100%

P(P|F) = 19.0%

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notsponge [240]

Answer:

Step-by-step explanation:

There are 2 answers.

He could go further negative which means -153 - 512 = - 665

He could go towards the plus direction which is -153 + 512 = 359  which is plus.

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Sholpan [36]

Answer:

3/3

Step-by-step explanation:

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Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1
tatuchka [14]

Answer:

t_{1} = 0.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

t_{2} = 1.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Where \frac{dx}{dt} and \frac{dy}{dt} are the first derivatives of x and y regarding t. Let be x(t) =2\cdot \cos t and y(t) = 8\cdot \sin t, their first derivatives are found:

\frac{dx}{dt} = -2\cdot \sin t and \frac{dy}{dt} = 8\cdot \cos t

Thus, equation for the slope is:

\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}

\frac{dy}{dx} = -\frac{4}{\tan t}

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-1 = -\frac{4}{\tan t}

\tan t = 4

Tangent is positive at 1st quadrant and is a function with a periodicity of \pi, the set of solutions are:

t_{1} = 0.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

t_{2} = 1.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

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3 years ago
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