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kondor19780726 [428]
3 years ago
6

Please help me and thank you.

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0

Answer:

482.5\:\mathrm{in^2}

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: 25\cdot 20=500\:\mathrm{in^2}

Area of the triangle: \frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}

Thus, the area of the figure is 500-17.5=\boxed{482.5\:\mathrm{in^2}}

elixir [45]3 years ago
7 0
It’s the last one 482.5
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What is the greatest common factor of 8 and 18?
SCORPION-xisa [38]

Answer: 2

Step-by-step explanation: To find the greatest common factor or GCF of 8 and 18, we begin by finding all of the factors of each number.

To find the factors of 8, we know that 8 ÷ 1 is 8 so 1 and 8 are factors.

8 ÷ 2 is 4 so 2 and 4 are factors.

However, if we continue to divide 8 by 3, 4, 5, and so on, we won't find any new factors. So the factors of 8 are 1, 2, 4, and 8.

Now let's find the factors of 18.

18 ÷ 1 is 18 so 1 and 18 are factors.

18 ÷ 2 is 9 so 2 and 9 are factors.

18 ÷ 3 is 6 so 3 and 6 are factors.

However, if we continue to divide by 4, 5, 6, and so on, we won't find any new factors. So the factors of 18 are 1, 2, 3, 6, 9, and 18.

Now that we have our list of factors, to find the greatest common factor, we simply find the largest number that is shared by the two lists.

Notice that our lists share a 1 but the largest number they share is a <em>2</em><em>.</em>

<em />

So the greatest common factor or <em>gcf</em> of 8 and 18 is 2.

I have also shown my work on the whiteboard.

4 0
3 years ago
86.40-12.59 plz answer
Evgen [1.6K]
The answer is 73.81 :))
8 0
3 years ago
Read 2 more answers
Х = 4<br> 3х — у = -1<br> How to solve ?
elena-s [515]
3+ - 1 I hole this helped
7 0
3 years ago
What is that product of 2x + y and 5x -y + 3
poizon [28]

Answer:

10x² + 6x + 3xy + 3y - y²

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, as shown

(2x + y)(5x - y + 3)

= 2x(5x - y + 3) + y(5x - y + 3) ← distributing

= 10x² - 2xy + 6x + 5xy - y² + 3y ( collect like terms )

= 10x² + 6x + 3xy + 3y - y²


7 0
3 years ago
Read 2 more answers
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of
Olin [163]

Answer:

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X \sim N(17.5,4)  

Where \mu=17.5 and \sigma=4

Since the distribution for X is normal then, the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)

We select a sample of n =50 people. And we want to find the following probability

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

4 0
4 years ago
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