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2 years ago

Calculate the size of each of the unknown angles marked on the following diagrams.

Mathematics

1 answer:

Alex777 [14]2 years ago

6 0

Step-by-step explanation:

let me know if you need further explanation

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

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$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

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$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

2 years ago

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

dsp73

Answer:

Step-by-step explanation:

Given that you and a friend play a game where you each toss a balanced coin.

If the upper faces on the coins are both tails, you win $1;

if the faces are both heads, you win $2;

if the coins do not match (one shows a head, the other a tail), you lose $1 (win (−$1)).

Let Y be the amount won

Then Y can take values as 1,2 and -1

$P(Y=1) =P(TT) = 0.25\\P(Y=2) = P(HH) = 0.25\\P(Y=-1) = P(HT)+P(TH) = 0.5$

The above is the probability distribution for Y.

6 0

3 years ago

Please answer correctly! I will mark you as Brainliest!

jasenka [17]

Answer:

I have actually done this before, I got it right and I chose C!

hope this helps. love u guys!

6 0

2 years ago

Read 2 more answers

10x+2y=10 in slope intercept form

faust18 [17]

Slope-intercept form is Y = MX + B. This is in standard form, AX + BY = C. You have to move the X to the other side of the equation and simplify it. 
10x - 2y = 10 
- 10x - 10x Subtract 10x from both sides 
- 2y = - 10x + 10 Now everything is in the right place, but it still needs to be simplified. 
Divide each term by -2, in order to isolate the variable Y. 
- 2y/ - 2 = - 10x/ - 2 + 10/ - 2 
The answer is: y = 5x - 5

7 0

2 years ago

Read 2 more answers

A right rectangular prism is shown.

8_murik_8 [283]

Your answer is 3.7!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

6 0

2 years ago