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liubo4ka [24]
3 years ago
14

Find P(AIA^c) A. 1 B. 0 C. 1/2 D. unknown Please select the best answer from the choices provide

Mathematics
1 answer:
otez555 [7]3 years ago
7 0
By definition of conditional probability,

\mathbb P(A\mid A^C)=\dfrac{\mathbb P(A\cap A^C)}{\mathbb P(A^C)}

But any event and its complement cannot occur simultaneously; they are disjoint, so the probability of their intersection is 0. So the conditional probability is also 0.
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Kitty [74]
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4 0
3 years ago
Find the slope of the line graph
Tamiku [17]

Answer:

-1

Step-by-step explanation:

the "slope" of a graph is rise / run

you divide the "rise" from one point on a graph to another  by the "run" from one point to another.

We can use any two points on a graph to find this value. (There are other ways to find slope, but this is the easiest method for find the slope of a graphed line)

We can see two points on the line already pointed out, but we can also look to see other points (that require less math)

[remember, points are written as (x,y) ]
We can see a point at (1,0) and another point at (0, 1)

the "rise" between two points is the difference in y-values.

0 - 1 = -1

{you can also look at the graph/count the boxes}

So, the rise between these two points is -1.

(really, it's a drop)

the "run" between these two points is the difference in x-values.

1 - 0 = 1

so, the run between these two points is 1.

Now, all that's left to do is divide the rise / run:

-1 / 1 = -1

So, the slope of this line is -1.

this can be summed up in the following formula:

m = \frac{y_{2} - y_{1}} {x_{2}-x_{1}}

where m is the slope of the graph,

x_{1} = x-value of first point on graph

y_{1} = y-value of first point on graph

x_{2} = x-value of second point on graph

y_{2} = y-value of second point on graph

the equation of a line

y = mx + b

incorporates the slope (as m)

4 0
2 years ago
Find the length L of the curve
ehidna [41]

Answer:

4.647 to the nearest thousandth.

Step-by-step explanation:

The formula for the length of an arc between  x = a and x = b is

  a

    ∫  √( 1 + (f'(x))^2) dx

  b

Here f(x) = √x so

we have  ∫  (√( 1 + (1/2 x^-1/2))^2 )   between x = 0 and x = 4.

=   ∫ ( √( 1 + 1/(4x)) dx   between  x = 0 and x = 4.

This is not easy to integrate  but some software I have gives me the following

length =  √17 + 1/8 log(33 + 1/8 √17)

= 4.647.

3 0
3 years ago
Find the GFC of 56 and 84. A factor tree for 84 is given below. The GCF of 84 and 56 is 7142128 .
guajiro [1.7K]

Answer:

28 is the GCF

Step-by-step explanation:

What I know about GCF is that it's a greatest (G) common (C) factor (F). The GCF of 84 and 56 is 7142128; false.

56- 56, 28, 14, 8, 7, 4, 2, 1.

84- 84, 42, 28, 21, 14, 12, 7, 6, 4, 3, 2, 1.

Hope this helps. :)

8 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through the pair of points. (−4, −2), (4, 0)
Tems11 [23]

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

7 0
3 years ago
Read 2 more answers
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