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3 years ago

15

According to the definition of theoretical probability, the probability of an

1 answer:

Mice21 [21]3 years ago

5 0

False,
Probability of an event occurring is the number of favorable outcome divided by sample space

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Need help on 15 and 16 PLEASEE!!!

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

so

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

<u><em>Find the next three terms of the arithmetic sequence</em></u>

<u><em>Find a5</em></u>

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

<u><em>Find a6</em></u>

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

<u><em>Find a7</em></u>

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

so

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

3 years ago

What is the domain of the relation y = arccscx?

Stella [2.4K]

Answer:

$y=arc\csc x$

Step-by-step explanation:

The given function is $y=arc\csc x$ .

The domain refers to all values of x for which this function is defined.

Recall that: the domain of $y=arc \sin (x)$ is $-1\le x\le1$

And we know $y=arc\csc x$ is the reciprocal of $y=arc \sin (x)$ .

Therefore the complement of the domain of $y=arc \sin (x)$ which is $(-\infty,-1]\cup [1,+\infty)$ is the domain of $y=arc\csc x$

5 0

3 years ago

Ten times the sum of half a number and 6 is 8.

Sedaia [141]

That would be

$10( \frac{1}{2} n + 6) = 8$
$\frac{1}{2} n+6= \frac{8}{10}$
$.5n + 6 = .8$
$.5n = -5.2$
$n=-2.6$

Hope that helps :)

8 0

4 years ago

I need help with some geometry work, there’s a pic x

avanturin [10]

Answer:

it is congruent by SAS axiom

So go with option A

Congruent -SAS

Hope it will help :)❤

3 0

3 years ago

Need help!! I’d really appreciate it....

LenaWriter [7]

40. m∠2=148° m∠4=148°

41. ∠2 and ∠5

42. ∠1 and ∠2

43. ∠3 and ∠5

Sorry, I don't know how to do the rest, but I hope this helps!

6 0

3 years ago