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3 years ago

Hey there! Can anyone help me out with this? I need help with both of these. Will give brainliest! :D

Mathematics

1 answer:

coldgirl [10]3 years ago

4 0

$area = length \times width$

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c .

$area = \frac{3}{8} \times \frac{4}{5} \\$

$area = \frac{4 \times 3}{4 \times 2 \times 5} \\$

$area = \frac{3}{2 \times 5} \\$

$area = \frac{3}{10} \: \: {cm}^{2} \\$

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$area = \frac{1}{4} \times \frac{3}{7} \\$

$area = \frac{3}{28} \: \: {m}^{2} \\$

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A rectangle has sides measuring (2x + 7) units and (5x + 9) units.

MrRa [10]

Part A

Use the FOIL rule to expand out the expression below

(2x+7)(5x+9)

2x*5x + 2x*9 + 7*5x + 7*9

10x^2 + 18x + 35x + 63

10x^2 + 53x + 63 is the final answer for part A

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Part B

The degree is 2. This is a quadratic trinomial.

The degree is simply the largest exponent after expanding everything out. The degree directly determines the type of polynomial. Since the degree is 2, we have a quadratic. The polynomial is a trinomial because it has 3 terms.

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Part C

Imagine we had a machine in which we deposit 2 coins into it. One would happen on either side. After the coins are deposited, a third coin pops out. The 2 coins going in and the third coin coming out are the same currency. This represents an example of closure.

In mathematics, the idea of closure is taking any two objects of the same type, applying an operation on them, and getting the same type of object as the input.

For example, we could take two whole numbers and multiply them together. The result is always a whole number. The set of whole numbers is closed under multiplication because you can't leave the set (hence the gate is closed not letting anything out).

Similarly, taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this in action because (2x+7), (5x+9) and 10x^2 + 53x + 63 are all polynomials.

6 0

3 years ago

I need help with my assignment but dont know how to do it/ what should i do?

ohaa [14]

Answer:

first explain what you need help with specifically then maybe people can help, to bland of a question

5 0

3 years ago

Q1 ).The number of white corpuscles on a slide has a Poisson distribution with mean 4.5.

dybincka [34]

The most likely number of white corpuscles om a slide is 4 ,the probability of obtaining this number 4 is 0.190 , probability of obtaining at least two white corpuscles in total on the two slides is 0.999.

Attending to the first question

<h3>What is Poison Distribution ?</h3>

Poisson Distribution is used for an independent event to find its probability in a fixed interval of time .

Let X be the number of white corpuscles on a slide, then X~Pois(4.5)

a) We have to find the most likely number of white corpuscles on a slide , which means expected value of Poise(4.5)

The expected value of Poisson distribution with mean λ is equal to λ.

Therefore the expected value is 4.5.

the number of corpuscles cannot be non-integer,

To find the most likely number in one experiment,

determine it between 4 and 5.

In the common case P(X=k) when X~Poise(λ) is equal to $\frac {\lambda^{k}} {k!}}e^{-\lambda}$