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2 years ago

What is the probability of landing on an even number? (Write your final answer as a percentage.)

Mathematics

2 answers:

levacccp [35]2 years ago

7 0

Your possibility of landing on an even number is 1/2 which is 50%

Arada [10]2 years ago

3 0

I'm pretty sure it's 50%

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

<u>Answer:</u>

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

<u>Solution: </u>

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago

What is the right decimal

Delvig [45]

11/15=.7333333 so the one with the line above the 3 only

8 0

3 years ago

Can anyone explain how to solve this using %/100 = is/of?

kumpel [21]

Answer:

20%/100 = 8 peeps / 40 items in the basket

(40 total items)

Step-by-step explanation:

Let x be the total number of items in the basket. The ratio of peeps to the total item is 1/5. Therefore,

1/5 = 8/x

x = 40

40 total items

6 0

2 years ago

Solve the equation using the quadratic formula

amm1812

Answer:

Step-by-step explanation:

Rewrite this quadratic equation in standard form: 2n^2 + 3n + 54 = 0. Identify the coefficients of the n terms: they are 2, 3, 54.

Find the discriminant b^2 - 4ac: It is 3^2 - 4(2)(54), or -423. The negative sign tells us that this quadratic has two unequal, complex roots, which are:

-(3) ± i√423 -3 ± i√423

n = ------------------- = ------------------

2(2) 4

3 0

2 years ago

Help? I dont remember what standard form is? is it y=mx+b or that something else? Pls explain how to solve this? Will mark brain

Pavel [41]

Answer:

The standard form of a linear equation is AX + BY = C.

Step-by-step explanation:

The equation y=mx+b is slope-intercept form. When referring to the standard form of a quadratic equation, the expression is ax^2 + bx + c = 0.

6 0

2 years ago