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3 years ago

Laura has a backyard that she wants to renovate. Her

Mathematics

1 answer:

miskamm [114]3 years ago

4 0

Answer:

Area of the walkway = 8x + 24

Step-by-step explanation:

Area of the total backyard = $l\times b$

Area of total backyard = $(x+6)\times (x+4) = x^{2} +10x + 24$

Now, Area of the rectangular garden = $l\times b$

Area of the rectangular garden = $x (x+2) = x^{2} + 2x$

Now area of the walkway poured with concrete = Area of the backyard - Area of the rectangular garden

= $(x^{2} +10x +24) - (x^{2} +2x)$

= $x^{2} + 10x +24 - x^{2} -2x$

= 8x + 24

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When combining like terms how do you know to add or subtract?

Vesna [10]

Answer:

It’s depends on the sign.

Step-by-step explanation:

For example if your question is 3x+16y-8-7x+8y then the answer would be -4x+24y-8 if they have the same variable look at them as a separate equation.

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3 years ago

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The probability that two people have the same birthday in a room of 20 people is about 41.1%. It turns out that

salantis [7]

Answer:

a) Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

b) We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

$P(X\geq 1 ) = 1-P(X$

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

$P(X\geq 1 ) = 1-P(X$

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Part a

Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

Part b

We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

$P(X\geq 1 ) = 1-P(X$

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

$P(X\geq 1 ) = 1-P(X$

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

4 0

4 years ago

Mr. F is buying 8 computers for the computer lab. if one computer costs $1,156, How much will the computers cost in all?

Andreas93 [3]

answer: $9248

explanation:

well, we know the cost for one, so if each computer costs the same, multiply the cost of one of them by 8 to get the total.

8 x 1,156 = 9248.

so, we can assume this is what the computers will cost in total because there seems to be no added tax or fees.

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

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3 years ago

What are some units of measurement we could use for a postage stamp? (Please help me)

nordsb [41]

I believe the answer is cubic centimeter

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3 years ago

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See question in screenshot below.

alexgriva [62]

The equation of the transformation of the exponential function y = 2ˣ in the form y = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is y = (-2)·2ˣ + 3

<h3>What is an exponential equation?</h3>

An exponential equation is an equation that has exponents that consists of variables.

The given equation is y = 2ˣ

The equation for the transformation is; y = A·2ˣ + k

The points on the graphs are;

(0, 1), (1, -1) and (2, -5)

Plugging the x and y-values to find the value A and k gives the following simultaneous equations;

When x = 0, y = 1, therefore;

1 = A·2⁰ + k = A + k

1 = A + k...(1)

When x = 1, y = -1, which gives;

-1 = A·2¹ + k

-1 = 2·A + k...(2)

Subtracting equation (1) from equation (2) gives;

-1 - 1 = 2·A - A + k - k

-2 = A

1 = A + k, therefore;

1 = -2 + k

k = 2 + 1 = 3

k = 3

Which gives;

y = -2·2ˣ + 3 = 3 - 2·2ˣ

Learn more about the solutions to simultaneous equations here:

brainly.com/question/26310043

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1 year ago