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musickatia [10]

2 years ago

14

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x 1 5 8 P

(X=x) P(X=x) 0.29 0.05 0.26

1 answer:

ch4aika [34]2 years ago

4 0

Answer:

Not a discrete probability distribution

Step-by-step explanation:

In order for a distribution to be a discrete probability distribution, the sum of the probabilities must be equal to 1:

Since 0.29 + 0.05 + 0.26 = 0.60, then it is not a discrete probability distribution

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If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

$\sin 2A = 2\cdot \sin A\cdot \cos A$ (4)

$\csc 2A = \frac{1}{\sin 2A}$ (5)

$f(A) = \sin 2A + \csc 2A$

$f(A) = \sin 2A + \frac{1}{\sin 2A}$

$f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}$

$f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}$

If we know that $\sin A \approx 0.382$ and $\cos A \approx 0.924$ , then the value of the function is:

$f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}$

$f(A) = 2.122$

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3 years ago

I will give Brainliest two whoever answers 1st (if correct)

tatuchka [14]

Answer:

It would increase. I am not sure though.

Step-by-step explanation:

Please give me brainliest :)

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2 years ago

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Find the valuesof integers x and y: x^(8)+16y^(8)=0

avanturin [10]

Answer:

x=0,

y=0

Step-by-step explanation:

$x^8+16y^8=0\\(x^{2}) ^{4} +16(y^{2}) ^{4} =0\\x^2\geq 0,y^2\geq 0\\sum~ of ~two ~positive~ integers ~is~ zero~ if~ each=0\\so~x=0,~y=0$

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3 years ago

Is negative 5 a rational number or an irrational number<br><br><br> (Pleasee help me)

solong [7]

Answer:

Negative five is in fact a rational number.

Step-by-step explanation:

Rational numbers can either be negative or positive. An irrational number would be pi (3.14159 etc.)

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3 years ago

PLEASE HELP ME HURRY!!!

Lelechka [254]

Yes you’re correct it’s A : 11,529

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3 years ago