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3 years ago

Need help with this question please

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

8 times 3 is 24 all i know

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If P(0.40), P(E or F)= 0.50, and P(E and F) = 0.20, find P(F)

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Answer: 0.10

Step-by-step explanation:

0. 50=0.40+P( F ) - 0.20 0.50=0.40 +P ( F ) P ( F ) = 0.10

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3 years ago

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Find the solution of (x+2)^2 +2=6 by using square roots method

kogti [31]

Answer:

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3 years ago

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

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3 years ago