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1 year ago

Two number cubes are tossed. What is P(4, 6)? O.1/6 O.1/12 O.1/3 O.1/36

Mathematics

1 answer:

Bezzdna [24]1 year ago

6 0

The value of P(4, 6) when the two number cubes are tossed is 1/36

<h3>How to determine the probability?</h3>

On each number cube, we have:

Sample space = {1, 2, 3, 4, 5, 6}

The individual probabilities are then represented as:

P(4) =1/6

P(6) =1/6

The value of P(4, 6) when the two number cubes are tossed is:

P(4, 6) = P(4) * P(6)

This gives

P(4, 6) = 1/6 * 1/6

Evaluate

P(4, 6) = 1/36

Hence, the value of P(4, 6) when the two number cubes are tossed is 1/36

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Jerome has 1/4 of thw group's video games at his house. Mario has 2/5 of the group's video games at his house. What fraction of

OLga [1]

Answer:

$\frac{13}{20}$ of the group's video games is either at Jeromes house or Marios house.

Step-by-step explanation:

Given the statement: Jerome has 1/4 of the group's video games at his house.

Also,Mario has 2/5 of the group's video games at his house.

⇒ Jerome has group's video games at his house(J) = $\frac{1}{4}$

and

Mario has group's video games at his house(M) = $\frac{2}{5}$

To find the fraction of the group's video games is either at Jerome house or Mario house.

Between two they have = $J+M$ = $\frac{1}{4} + \frac{2}{5} = \frac{5+8}{20} =\frac{13}{20}$ of the group's video games.

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3 years ago

Identify the equation of the graph.

Nitella [24]

Answer: y=-2x-4 (C)

Step-by-step explanation: Its correct i swear

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3 years ago

Y + 2 =1/2(x – 3).<br><br> Please help ?!?

Sidana [21]

first, spread the parenthesis. y+2=1/2x-1.5

second, add 1.5 to both sides. y+3.5=1/2x

third, multiply by 2. 2y+7=x

if you are solving for y, do not do the third step, instead, subtract by 3.5. y=x-3.5

hope this helps!

ANSWER: x=2y+7 or y=x-3.5

6 0

3 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

Round the decimal to the nearest hundredth: 5.6192

Drupady [299]

Rounding 5.6192 -

First you look at the hundredth place: If the number is 5 and higher round it up, if its 4 and lower round down. In this case 1 is in the hundredth place which means you round down. So 5.6192 rounded is 5.6

Answer: 5.6 or 5.60

8 0

3 years ago

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