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Akimi4 [234]
2 years ago
5

2.

Mathematics
1 answer:
Studentka2010 [4]2 years ago
4 0

Answer:

What the english?

Step-by-step explanation:

bdhznrbzjdnxhenaFjskrnx

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Thank you!!!!!!!!!!!!!!!
OverLord2011 [107]

Answer:

Binomial distribution requires all of the following to be satisfied:

1. size of experiment (N=27) is known.

2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)

3. probability (p=0.14) remains constant through trials.

4. trials are independent, and random.

Binomial distribution can be used as a close approximation, with the  usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).

P(x)=C(N,x)*p^x*(1-p)^(n-x)

where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.

So we need the probability of <em>at most one defective</em>, which is

P(0)+P(1)

= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)

=1*1*0.0170 + 27*0.14*0.0198

=0.0170+0.0749

=0.0919


4 0
3 years ago
Quantos que é -2 ao quadrado
Olegator [25]
No estoy segura e -2 ao quadrado esa es toda la pregunta
5 0
3 years ago
Find the lengths and determine the measure of the missing angel (x)
inysia [295]
B= 60 
To find b you must do the pythagorean theorem because it is a right triangle
65^2 - 25^2=b^2
3600=b^2
60=b

x= 18 
To find x you must know that a triangle is made up of 180 degrees.
x= 180-(72+90)
x=180-162
x=18

hope this helped :)
3 0
3 years ago
Quick Search Inc. has hired you to work on a new search algorithm for their data base. Your annual salary is $52,680 and you are
kenny6666 [7]
2026.1538461538461538461538461538 or 2026.15 or 2026 and 2 / 13
is what he is paid per 2 weeks.
8 0
3 years ago
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