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Hitman42 [59]
3 years ago
8

Factor out coefficient 4n-3

Mathematics
1 answer:
vodomira [7]3 years ago
3 0
4n-3 = \boxed {4 (n- \frac{3}{4} )}
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Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If
Thepotemich [5.8K]

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then  

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition  

<em>P(A | B) =  P(A∩B)/P(B). </em>

Since  

P(A∩B) = 0, then P(A | B) = 0

Is P(A | B) equal to P(A)?

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

P(A | B) = P(A) and P(B | A) = P(B)

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, <em>A and B are dependent. </em>

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

If A and B are not empty events which are mutually exclusive, they can never be independent.

6 0
3 years ago
In the formula I=prt, what is the value of t
maxonik [38]
You divide both sides by pr to get t on one side.
1=prt
= 1/pr=t
So the answer is one as the numerator and pr as the denominator
1/pr
6 0
3 years ago
Read 2 more answers
Which Pairs are additive inverses?<br> a. 6,-(-6)<br> b. -7,7<br> c.-7,-7<br> d.7,7<br> e.6,-6
xz_007 [3.2K]

I was never sure of what the "additive inverse" is. 
So, just now, just for you, I went and looked it up.

The additive inverse of any number ' A ' is the number
that you need to ADD to A to get zero.  That's all !

So now, let's check out the choices:

a), 6, -(-6)

That second number, -(-6), is the same as +6 .
So the two numbers are the same.
Do you get zero when you add them up ?  No.

b). -7, 7
What do you get when you add -7 and 7 ?
You get zero.
So these ARE additive inverses.

c). -7, -7
What do you get when you add -7 to -7 ?
You get -14 .  That's not zero, so these
are NOT additive inverses.

d).  7, 7
What do you get when you add 7 to 7 ?
You get 14.  That's NOT zero, so these
are NOT additive inverses.

e).  6, -6
What do you get when you add 6 to -6 ?
You get zero.
So these ARE additive inverses.

What do we end up with from the list of choices:

a).,  c).,  and d). are NOT additive inverses.

b). and e). ARE additive inverses.

7 0
3 years ago
Read 2 more answers
Find the formula for the nth term of the arithmetic sequence -39, 61, 161, 261, ...
maksim [4K]
<h3>Given that it is arithmetic</h3>

d = a_{2} - a_{1} = 61 - ( - 39) = 100

a_{n} = a_{1} + (n - 1)d \\ a_{n} = - 39+ 100 (n - 1) \\ a_{n} =  - 39 + 100n - 100 \\ a_{n} =  - 139 + 100n

6 0
2 years ago
1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an exte
gregori [183]

Answer:

900 g

Step-by-step explanation:

let e be extension and w be weight

given e varies directly as w then the equation relating them is

e = kw ← k is the constant of variation

to find k use the condition w = 150 , e = 2.9 , then

2.9 = 150k ( divide both sides by 150 )

\frac{2.9}{150} = k , that is

k = \frac{29}{1500}

e = \frac{29}{1500} w ← equation of variation

when e = 17.4 , then

17.4 = \frac{29}{1500} w ( multiply both sides by 1500 )

26100 = 29w ( divide both sides by 29 )

900 = w

3 0
3 years ago
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