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3 years ago

Please help you have to match it

Mathematics

1 answer:

Alexxandr [17]3 years ago

5 0

Answer:

The length of BC = 3 units

The length of AD length = 7 units

The Height = 3 units

The Area = 15 square units

Step-by-step explanation:

The length of base BC is 3 units, the length of base AD is 7 units.

The height of trapezoid ABCD is 3 units.

The area of trapezoid ABCD is 15 square units.

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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

Help, please will give Brainliest

Diano4ka-milaya [45]

9514 1404 393

Answer:

A. 57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

V = LWH

V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

If you feel the need to compute the volume exactly, you can do so using improper fractions.

V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

3 0

3 years ago

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinat

Anna35 [415]

Answer:

ans is part a

Step-by-step explanation:

means 1 part

4 0

3 years ago

Read 2 more answers

Mikayla withdraws $20 on 4 different days durin the week.Find the total change in her account balance after the withdrawls.

Stells [14]

Wait what did she have in her account? We need to know to answer.

7 0

3 years ago

Please help this is 95% of my grade

kipiarov [429]

Answer:

Part 1:

Domain= {2,3,8,9}

Range = {7,9,14}

Part 2: Yes it is not a function

Step-by-step explanation:

Domain is the first number

Range is the second.

Domain= {2,3,8,9}

Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)

Function: Is any of the domain numbers the same: Answer Yes it's a function.

6 0

3 years ago