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3 years ago

11

Which is greater 2/3 or 2/4

1 answer:

zheka24 [161]3 years ago

4 0

2/3 = 66%
2/4 = 50%
Therefore, 2/3 is greater

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In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets

AnnZ [28]

Answer:

$Probability = \frac{243}{1024}$

Step-by-step explanation:

Given

$Sum = \{7, 11, 12\}$

$Rolls = 5$

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

$Outcomes = 36$

$Sum\ of\ 7 = 6$

$Sum\ of\ 11 = 2$

$Sum\ of\ 12 = 1$

So, in a single roll; The probability of getting audited is:

$p= \frac{1 + 2 + 6}{36}$

$p= \frac{9}{36}$

$p= \frac{1}{4}$

The probability of not getting audited in a single roll is:

$q = 1 - p$ --- Complement rule

$q = 1 - \frac{1}{4}$

Take LCM

$q = \frac{4 - 1}{4}$

$q = \frac{3}{4}$

The probability of not getting audited in 5 rolls is:

$Probability = q^5$

$Probability = (\frac{3}{4})^5$

$Probability = \frac{3^5}{4^5}$

$Probability = \frac{243}{1024}$

7 0

3 years ago

Write the expression in factored form. 81m^2-49

ivolga24 [154]

We can use the difference of two squares, which is:

x^2 + y^2 = (x-y)(x+y)

So,

(9m-7)(9m+7)

Hope this helps!

5 0

3 years ago

Find the area of the triangle with the given base and height.<br> b = 3 m and h = 10 1/2 m

svetoff [14.1K]

<u>Statement</u><u>:</u>

The base of a triangle is 3m and its height is $10 \frac{1}{2}$ m.

<u>To </u><u>find </u><u>out:</u>

The area of the triangle.

<u>Solution:</u>

Given, base = 3m, height = $10 \frac{1}{2}$ m
We know,

$\sf \: area \: \: of \: \: a \: \: triangle = \frac{1}{2} \times base \: \times height$

Therefore, the area of the triangle

$\sf = (\frac{1}{2} \times 3 \times 10 \frac{1}{2} ) {m}^{2} \\ \sf = ( \frac{1}{2} \times 3 \times \frac{21}{2} ) {m}^{2} \\ = \sf \frac{63}{4} {m}^{2} \\ = \sf 15\frac{3}{4} {m}^{2}$

<u>Answer</u><u>:</u>

The area of the triangle is $\sf \: 15 \frac{3}{4} {m}^{2}$

Hope you could understand.

If you have any query, feel free to ask.

5 0

2 years ago

Read 2 more answers

What is a factor of 144-49x^2

Alenkinab [10]

(12+7x)(12-7x)
Because the square root of 144 is 12 and for 49 is 7

3 0

3 years ago

NEED ANSWER ASAP!!!WILL VOTE BRAINLIEST ANSWER

Nikitich [7]

I think
113.04 will be the answer.

5 0

3 years ago