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Ivanshal [37]
3 years ago
7

Each letter of the word PROBABILITY is written on an individual card, each of which

Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

Independent event

Step-by-step explanation:

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Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

5 0
2 years ago
Read 2 more answers
it takes 52 minutes for 5 people to paint 5 walls. How many minutes does it takr 20 people to paint 20 walls
777dan777 [17]

Answer:

208 minutes = 3.47 hours

Step-by-step explanation:

It takes each person 10.4 minutes for 1 wall. So 20 people would take 208 minutes for 20 people to paint 20 walls

52/5 = 10.4

20 x 10.4 = 208

5 0
3 years ago
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The first angle of a triangle is 4 times the number of degrees in the second angle. The third angle of the triangle is 12 degree
xenn [34]

Answer:

1st angle: 128°

2nd angle: 32°

3rd angle: 20°

Step-by-step explanation:

You can start by setting up an equation. 180=x+4x+x-12. It sould all add up to 180 because angles of a triangle always add up to 180, and x represents the second triangle (you use the second angle as x because the other two angles elaborate off of this second angle).  Then you solve. Add 12 to 180 and get 192. Then you can add like terms and make it 192=6x (you add the x's together). Lastly divide 192 by 6 and get 32. So the measurement of angle 2 is 32°. Then you multiply 32 by 4 to get the 1st angle measure, being 128. Lastly subtract 12 from 32 and get 20 for angle three. To check you work add the three angle measures you got and see if they =180, if so then you are correct.

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3 years ago
HELP pleaseeeeeeeeeeeeeeeee
Yanka [14]
2 rows of geraniums and 4rows of the other one
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3 years ago
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Help me please. This is due at 12 tonight
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I think the answer is c
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3 years ago
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