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AnnyKZ [126]
3 years ago
12

A coin is tossed a number cube is rolled P(tails and 3)

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

1/6

Step-by-step explanation:

The coin toss and the cube roll are entirely separate and independent events.  To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.

P(tails) = 0.5

P(3) = 1/6, or 0.3333 ....

Desired joint probability = (1/2)(1/3) = 1/6

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Answer:

2) age increases and the height increases with it

Step-by-step explanation:

<em>As people get older of course they will grow. People don't lose age. And people don't shrink. So not 3 or 4. </em>

<em>There is definitely a relationship. Not 1.</em>

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4 0
3 years ago
Solve the equation on the<br> interval [0, 27r).<br> 4(sin x)2 - 2 = 0
Ket [755]

4[sin(x)]^2 - 2 = 0\implies 4[sin(x)]^2=2\implies [sin(x)]^2=\cfrac{2}{4}\implies [sin(x)]^2=\cfrac{1}{2} \\\\\\ sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies sin^{-1}[sin(x)]=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\implies x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)

x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill

Check the picture below.

4 0
2 years ago
Jeremiah works 5 days a week. If he earns $225 a dat how much does he earn per week
Strike441 [17]

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Step-by-step explanation:

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8 0
4 years ago
Read 2 more answers
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marysya [2.9K]

Answer:

-4 or -9

Step-by-step explanation:

-a^2-13a-36=0

(-a-4)(a+9)=0

-a-4=0

a+9=0

a= -4, -9

3 0
3 years ago
(Score for Question 3: ___ of 5 points) The measure of ∠2=8x+10 and the measure of ∠4=42+6x. Find the measure of ∠4. Show your w
Svetradugi [14.3K]

Answer:

∠4 = 78°, assuming out measurements have been taken in degrees.

Step-by-step explanation:

If ∠2 = 8x + 10 and

∠4 = 42 + 6x

We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.

8x + 10 = 42 + 6x        Take away 6x from both sides

2x + 10 = 42                Take 10 away from both sides to combine like terms

2x = 32                        Divide both sides by 2 to isolate x

x = 16

Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x

∠4 = 42 + 6x

∠4 = 42 + 6(6)

∠4 = 42 + 36

∠4 = 78°, assuming out measurements have been taken in degrees.

4 0
3 years ago
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