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NNADVOKAT [17]
4 years ago
10

Describe a real world scenario that is an arithmetic series. Show your work as you find the 7th term of your scenario.

Mathematics
1 answer:
Iteru [2.4K]4 years ago
7 0

A new night club opens. The first night 100 patrons attend. For each successive night for a month, 20 more attend. How many attend on the 7th night?

Arithmetic sequence formula finding the nth number:

<span>a</span><span>n</span><span> = a</span><span>1</span><span> + (n – 1)d</span>

<span>A(7) = 100 + (7-1) 20</span>

<span>A(7) = 100 + (6)20</span>

<span>A(7) = 100 + 120</span>

<span>A(7) = 220</span>

<span>
</span>

<span>So, on the 7th night, there 220 patrons.</span>

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Quadrilateral ABCD is given, the interior angle at vertex B is 97 degrees and the exterior angle at vertex A is 88 degrees. Line
Citrus2011 [14]

Answer:

angle 1 = 83°

angle 2 = 88°

Step-by-step explanation:

angle 1 and angle on vertex B are

pair of co interior angles ( whose sum = 180° )

so, angle 1 + angle B = 180°

angle 1 = 180° - angle B

angle 1 = 180° - 97° = 83°

hence, angle 1 = 83°

but, angle 2 and exterior of vertex A forms alternate interior angle pair ,

so , angle 2 = angle A = 88°

i hope you got it ....

5 0
3 years ago
In 2015, Oklahoma experienced 907 perceptible earthquakes (far surpassing California), for an average of about 2.5 perceptible e
Rufina [12.5K]

Answer:

The probability P of a day with no perceptible earthquakes is 0.0821.

Step-by-step explanation:

We will consider that earthquakes occurring in a day is a <u>Poisson process</u>. The following Poisson probability distribution formula will be used in this question.

<u>p(x,λ) = [e^-λ (λ)ˣ]/x!</u>

where x = number of outcomes occurring

           λ = mean number of occurrences

(a) So, in this question we have λ = 2.5 and we need to find the probability that x=0 (no perceptible earthquakes in a day). So,

P(X=0) = p(0,2.5) = [(e^-2.5)(2.5)⁰]/0!

                            = ((0.0821)*1)/1

P(X=0) = 0.0821

The probability P of a day with no perceptible earthquakes is 0.0821.

6 0
4 years ago
Find the value of x, o is the centroid
Ray Of Light [21]

Answer:

x = 14

Step-by-step explanation:

In the triangle O is the centroid.  

Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.

So, from the given diagram we can write  

\frac{3x}{2x - 7} = \frac{2}{1}

⇒ 3x = 4x - 14

⇒ x = 14 (Answer)

3 0
3 years ago
A + B= 1233445667788
Archy [21]
Should be no lmk if it’s not
8 0
3 years ago
Read 2 more answers
What is 9/16 as a percent? What is it rounded to the nearest hundredth
Elena-2011 [213]

9/16 = 0.5625

Rounded Equals 0.5630

7 0
3 years ago
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