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Rus_ich [418]
2 years ago
9

Please help me answer this question it has two

Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

The 1st one.

Step-by-step explanation:

There are 8 letters and there are 3 e's. Which makes 3/8. Please don't delete my answer, I am only trying to help.

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WILL MAKE BRAINLIEST PLEASE HELP
garri49 [273]
3) B
4) D
5) B
6)C
7) B
8)A
8 0
3 years ago
You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.
Zanzabum
That is a very tough one
3 0
4 years ago
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Write the 5th term in the expansion of (5x-y/2)^7
Nezavi [6.7K]

Answer:

65625/4(x^5)(y²)

Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

Where (n k) represents n combination of k (nCk)

From the question k = 5 (i.e. 5th term)

n = 7 (power of expression)

a = 5x

b = -y/2

....................

Solving nCk

n = 7

k = 5

nCk = 7C5

= 7!/(5!2!) ------ Expand Expression

=7 * 6 * 5! /(5! * 2*1)

= 7*6/2

= 21 ------

.........................

Solving (a^k) (b^(n-k))

a = 5x

b = -y/2

k = 5

n = 7

Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

------------------------------------

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

5 0
3 years ago
A standard number cube has 6 sides labeled 1 to 6. apu rolls a standard number cube 30 times. How many times can
Leviafan [203]

Answer:

The expected value of rolling a 5 or 6 is 10.

Step-by-step explanation:

The sample space of rolling a standard number cube is:

S = {1, 2, 3, 4, 5 and 6}

The cube is standard, this implies that each side has an equal probability of landing face-up.

So, the probability of all the six outcomes is same, i.e. \frac{1}{6}.

Now it is provided that Apu rolls the cube <em>n</em> = 30 times.

Let the random variable <em>X</em> represent the value on the face of cube.

The event of rolling a 5 and rolling a 6 are mutually exclusive, i.e. they cannot occur together.

So, P (X = 5 and X = 6) = 0.

Compute the probability of getting a 5 or 6 as follows:

P (X = 5 or X = 6) = P (X = 5) + P (X = 6) - P (X = 5 and X = 6)

                            = P (X = 5) + P (X = 6)

                            =\frac{1}{6}+\frac{1}{6}\\\\=\frac{2}{6}\\\\=\frac{1}{3}

Compute the expected value of rolling a 5 or 6 as follows:

E(X = 5\ \text{or}\ X = 6)=n\times P(X = 5\ \text{or}\ X = 6)

                               =30\times \frac{1}{3}\\\\=10

Thus, the expected value of rolling a 5 or 6 is 10.

8 0
3 years ago
Two triangular pyramids are similar. The volume of the larger pyramid is 729 cm3 , and the volume of the smaller pyramid is 64 c
kirill [66]

Answer:   Second Option is correct.

Step-by-step explanation:

Since we have given that

Volume of larger pyramid = 729 cm³

Volume of smaller pyramid = 64 cm³

So, Ratio of volume of larger pyramid to volume of smaller pyramid is given by

\dfrac{729}{64}=\dfrac{9^3}{4^3}

So, Ratio of side of larger pyramid to side of smaller pyramid is given by

\dfrac{9}{4}

Now, Perimeter of base of smaller pyramid = 8 cm

So, We need to find the perimeter of larger pyramid.

So, it becomes,

\dfrac{\text{Side of larger pyramid}}{\text{Side of smaller pyramid}}=\dfrac{\text{Perimeter of larger pyramid}}{\text{Perimeter of smaller pyramid}}\\\\\dfrac{9}{4}=\dfrac{x}{8}\\\\x=\dfrac{9\times 8}{4}=\dfrac{72}{4}=18\ cm

Hence, Perimeter of the base of the larger pyramid is 18 cm².

Therefore, Second Option is correct.

4 0
4 years ago
Read 2 more answers
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