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wariber [46]
2 years ago
6

HELP PLEASE SHOW STEPS I HAVE NO IDEA WHAT TO DO. I HAVE BEEN TRYING TO FIGURE IT OUT BUT I CAN’T.

Mathematics
2 answers:
weqwewe [10]2 years ago
8 0

Answer: x^{2} +23x+49

Step-by-step explanation:

To find the area of the shaded region, you must find the area of the larger rectangle [(x+10)×(2x+5)] and subtract the area of the smaller rectangle [(x+1)×(x+1)] from it.

First, you simplify the larger rectangle's area:

(x+10)×(2x+5) = 2x^{2} +25x+50

Then, simplify the smaller rectangle's area:

(x+1)×(x+1) = x^{2} +2x+1

Finally, subtract the smaller rectangle's area from the larger rectangle's area:

(2x^{2} +25x+50) - (x^{2} +2x+1) = x^{2} +23x+49

Therefore, the final answer is x^{2} +23x+49.

I hope this helps!

Svetlanka [38]2 years ago
7 0

\text{Area of rectangle}=\text{lengh}\times\text{width}\\\text{Area of square}=\text{side}^2

You just need to find differens between rectangle and square

\text{lengh}\times\text{width}-\text{side}^2\\\\(x+10)(2x+5)-(x+1)^2=2x^2+5x+20x+50-x^2-2x-1=x^2+23x+49

x^2+23x+49\:\text{is our answer}

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Eduardwww [97]
<span>If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable. Some examples will clarify the difference between discrete and continuous variables.</span>
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4 years ago
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A) what is the probability that the first contestant is a boy?
tamaranim1 [39]

Probabilities are used to determine the chances of an event.

  • The probability that the first contestant is a boy is 1/2
  • The probability that the second contestant is a boy, if the first is a boy is 9/19
  • The probabilities are not independent

The given parameters are:

\mathbf{Contestants= 20}

\mathbf{Girls= 10}

\mathbf{Boys = 10}

<u>(a) Probability that first contestant is a boy</u>

This is calculated as:

\mathbf{P(Boy) = \frac{Boys}{Contestants}}

This gives

\mathbf{P(Boy) = \frac{10}{20}}

\mathbf{P(Boy) = \frac{1}{2}}

<u>(b) Probability that the second contestant is a boy, if the first is a boy</u>

This is calculated as:

\mathbf{P(Boy) = \frac{Boys - 1}{Contestants - 1}}

We subtracted 1, because the first contestant (a boy) is no longer part of the selection.

So, we have:

\mathbf{P(Boy) = \frac{10-1}{20-1}}

\mathbf{P(Boy) = \frac{9}{19}}

<u>(c) Independent probabilities</u>

The probabilities are not independent, because when a contestant is selected, the number of contestant is reduced by 1.

And this will affect the probability of the next selection.

Read more about probabilities at:

brainly.com/question/11234923

7 0
2 years ago
It has been found that women are excluded from social events with coworkers. One study at Company X, found that women only recei
Natasha2012 [34]

Answer:

Option C is correct.

The p-value in this case is the probability of getting data like that observed or more extreme (i.e., getting an observed invitation rate of 33% or higher) assuming that;

The social strategies did not increase the rate of invitations for female colleagues.

Step-by-step explanation:

The p-value is actually defined as the probability of obtaining results as extreme as the observed results in the statistical analysis provided that the null hypothesis is true.

The standing condition for the p-value definition is the assumption that the null hypothesis is true, then it is the probability of getting the extreme result (usually not due to just random chance), that is usually observed, being tested for and contained in the alternative hypothesis.

Normally, in hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

Since this test aimed to test whether the rate of invitation of women to outside work events after using the social strategies, the null hypothesis for the question would be that there is no significant difference in the rate of invitation of the women after using the social strategies while the alternative hypothesis would be that the social strategies worked and the rate invitation of women to outside of work events increased.

So, the null hypothesis that we need to assume was true in the p-value definition is that; the social strategies did not increase the rate of invitations for female colleagues.

This is option C!

Hope this Helps!!!

8 0
3 years ago
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andrey2020 [161]

Answer:

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Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

The distance between the x's is 9-3=6.

The distance between the y's is 9-1=8.

The distance between the points is given by \sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10.

The radius is therefore \frac{10}{2}=5.

We are asked to find the area of this circle.

The formula for finding the area of a circle is \pi r^2.

Since the radius is 5, then the area in terms of \pi,(pi), is \pi (5)^2=\pi (25).

The answer is 25\pi units squared.

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