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olga_2 [115]
4 years ago
9

NEED HELP FOR A CHAPTER REVIEW TOMORROW!!! Name the points. Thank you!!!!

Mathematics
1 answer:
Stella [2.4K]4 years ago
8 0
It’s and equation stating the fact that the answer is 21
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Apply the binomial theorem to 210 = (1 + 1)10 . Answer each question in the work area provided below. 1. Write out the equation
Brums [2.3K]

Answer:

The following are the answer to this question:

Step-by-step explanation:

Binomial theorem Expression:

\bold{(x+y)^n= {^n}C_0x^ny^0+{^n}C_1x^{n-1}y^1+{^n}C_2x^{n-2}y^2+...+{^n}C_{\gamma}x^{n-\gamma}y^\gamma}+...+ {^n}C_nx^0y^nSolution:

1)

\to 2^{10} = (1 + 1)^{10}

         = (1+1)^{10}= {^{10}}C_0\times 1^{10}\times 1^0+{^{10}}C_1\times 1^{9}\times 1^1+{^{10}}C_2\times 1^{8}\times 1^2+ \\ {^{10}}C_3 \times 1^{7}\times 1^3+{^{10}}C_4 \times 1^{6}\times 1^4+ {^{10}}C_5\times 1^{5}\times 1^5 \\+ {^{10}}C_6 \times 1^{4}\times 1^6+....+{^{10}}C_{10}\times 1^{0}\times 1^{10}

          = {^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\

2)

Simplify:

(1+1)^{10}=

{^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\

=1+10+45+120+210+252+210+120+45+10+1\\\\=1024

3)

The r^{th} word is the number of variations where a coin is redirected 10 times.

4)

Get the frequency of exactly five heads is: {^{10}}C_{5} = 252

        =\frac{252}{1024}\\\\=\frac{126}{512}\\\\=\frac{63}{256}\\\\=0.24

5)

To Get 5 heads will be:

={^{10}}C_{5} \times (\frac{1}{2})^{10}\\\\=\frac{{^{10}}C_{5}}{2^{10}}\\\\=0.24

5 0
3 years ago
Please Help ! ill give you brainlist pleaseeee i don't wanna fail I wanna make my mom proud please .
faltersainse [42]

Answer: 1) 8x + 2 = 90 1a. 11 2. 13x-10= 133 2a. 11

Both solve for 11.

Step-by-step explanation: 1) they’re both the same measure so they equal each other

Subtract 2 from each side 8x = 88 and x is 11

13x - 10 = 133 they’re both the same measures so they equal each other.

Add 10 to both sides because it’s already negative and 13x = 143 and you get 11

3 0
3 years ago
Read 2 more answers
Please giving 20 points!!!
defon

Answer:

we choose f(x) = π cos(πx)

Step-by-step explanation:

Given the information:

  • f(0) = 0
  • f(2) = π

Let analyse all possible answers;

1/ f(x) = -2 sec(x)

when x= 0 we have: f(0) = -2 sec(0) = -2\frac{1}{cos(o)} = -2 wrong

2. f(x) = 7sin(x/4 - 1/29)

when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong

3. (x) = π cos(πx)

when x= 0 we have: f(0) = πcos(π0) = cos(0) = π0 = 0

when x= 2 we have: f(2) = πcos(π2) = πcos(0) = π

True

4. f(x) = 2π cos(x - π/2)

when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0

when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong

So we choose f(x) = π cos(πx)

4 0
4 years ago
Find 2 integers whose sum is -7 and whose product is 12
Ksivusya [100]
The two integers is -3 and -4

4 0
3 years ago
Maria deposited some money in to an account, and had an annual simple interest rate of 5%. If she left the money in the account
trapecia [35]

Answer:

$18.71

Step-by-step explanation:

18.75 = P x .05 x .75

18.75 = P x .0375

18.75 - .0375 = P

$18.71 = P


5 0
4 years ago
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