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3 years ago

4. The base of a triangle is 4 3/4ft. The height of the

Mathematics

1 answer:

astra-53 [7]3 years ago

6 0

Answer:

39 $\frac{9}{10\\}$

Step-by-step explanation:

4 $\frac{3}{4}$ × 8 $\frac{2}{5}$ = 39 $\frac{9}{10\\}$

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The number of students in a school increased by 25%between last year and this year. Last year there were 250 students in the sch

UkoKoshka [18]

Population this year = 250 × 125/100= 313(approximately)

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2 years ago

Find the area of the parallelogram.

erastovalidia [21]

Answer:

A = 735 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 35 and h = 21 , then

A = 35 × 21 = 735 cm²

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2 years ago

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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:

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

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3 years ago

What speed would a plane average on a trip

AleksandrR [38]

Answer:

B) 666.6 miles per hour

Step-by-step explanation:

To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.

4000 miles/6 hours = 666.6 miles per hour

3 0

2 years ago

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 8

Anna11 [10]

Answer:

5%, 6%

or 6.4%, 5.76%

i dont know

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2 years ago

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