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3 years ago

Classify each number below as a rational number or an irrational number.

Mathematics

1 answer:

ollegr [7]3 years ago

3 0

Answer: I think that the first one is irrational, the second one is rational, then the third one should be rational, the fourth one is irrational, and the fifth one is rational

Step-by-step explanation:

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$220 marked up 60% ????????????????????????

maria [59]

Answer:

352$

Step-by-step explanation:

6 0

3 years ago

What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success p? C

charle [14.2K]

Answer:

$(D)E[ X ] =np.$

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success p,

$f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq x\leq n$

$E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}$

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

$E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}$

Now,

$x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)$

Substituting,

$E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}$

Factoring out the n and one p from the above expression:

$E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}$

Representing k=x-1 in the above gives us:

$E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}$

This can then be written by the Binomial Formula as:

$E[ X ] = (np) (p +(1 - p))^{n -1 }= np.$

5 0

3 years ago

Pleaseeeee helppppppppp mee??

34kurt

Domain- [-6, infinite)
Range: [0, Infinite)

This is because you get the x from the square root (-6) and the y from the invisible 0. Because it doesn’t have a negative x, it goes up.

8 0

3 years ago

What is the surface area of the triangular prism?<br><br><br>

Sergeu [11.5K]

Good morning ☕️

Answer:

Step-by-step explanation:

the surface area of the triangular prism =

2×(the base’s area) + the lateral area

the base’s area =

$\frac{6*4}{2} =\frac{24}{2} =12$

the lateral area =

9×(6 + 5 + 5) = 9×16 = 9×16 = 144

finally,

the surface area of the triangular prism = 24 + 144 = 168

___________________________________________

7 0

3 years ago

Leon drew AABC and ADEF so that ZA: LD, ZB: LE, AB = 4, and DE = 8.

yulyashka [42]

Answer:

A. similar - AA

there's two corresponding angle that are equal!

4 0

2 years ago