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3 years ago

P(B)=1320,P(A∩B)=1325,P(A|B)=?

1 answer:

3 0

Formula for the Conditional Probability is:
P ( A \ B ) = P ( A ∩ B ) / P ( B )
But it is not possible to have the probability greater than 1.
0 ≤ P ( n ) ≤ 1
So let`s assume that: P ( A ∩ B ) = 1320 and P ( B ) = 1325
P ( A \ B ) = 1320 / 1325 = 0.9962

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24 ⅗ + 43 x (8 ⅕ - 2)

netineya [11]

Answer:

291 1/5

Step-by-step explanation:

4 0

3 years ago

The domain of both

Margarita [4]

Answer:

The domain of function $h(x)$ is set of all real numbers.

Domain: (-∞,∞)

Step-by-step explanation:

Given:

$f(x)=x-6$

$g(x)=x+6$

the domain of both the above functions is all real number.

To find domain of :

$h(x)=f(x)g(x)$

Substituting functions $f(x)$ and $g(x)$ to find $h(x)$

$h(x)=(x-6)(x+6)$

The product can be written as difference of squares. $[a^2-b^2=(a+b)(a-b)]$

∴ $h(x)=x^2-36$

The degree of the function $h(x)$ is 2 as the exponent of leading term $x^2$ is 2. Thus its a quadratic equation.

For any quadratic equation the domain is set of all real numbers.

So Domain of $h(x)$ is (-∞,∞)

7 0

4 years ago

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista

lidiya [134]

Recall your d = rt, distance = rate * time.

notice, the distance are the same, say it was "d" miles.

and if car A is travelling at a speed of say "r" mph, then B is going at "r+15" mph.

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Car A}&d&r&2\\
\textit{Car B}&d&r+15&1.5
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=2r\\
d=1.5(r+15)\\
----------\\
\boxed{2r}=1.5(r+15)
\end{cases}
\\\\\\
2r=1.5r+22.5\implies 0.5r=22.5\implies r=\cfrac{22.5}{0.5}\implies \boxed{r=\stackrel{mph}{45}}$

how far is B going? well, r + 15.

5 0

4 years ago

Read 2 more answers

PLEASE HELP ASAP! 30 POINTS!<br><br> Which three-dimensional shape is formed by the rotation given?

enot [183]

Answer:

I'm pretty sure it's the one you chose, which means the 2nd pic.

7 0

3 years ago

Read 2 more answers

On Saturday, the Gomez family left home to a resort in Maine. The drove at an average rate of 48 mph. ON Thursday they went back

Harman [31]

Time = Distance/Speed

Let d represent the distance from home to the resort in miles.
Time To Resort = d/48
Time To Home = d/40
Total Time = Time To Resort + Time To Home
11 = d/48 +d/40 . . . . . . . . . . substitute known values & expressions
.. = d*(40 +48)/(40*48) . . . . add fractions
.. = d*11/240 . . . . . . . . . . . . . simplify
11*(240/11) = d . . . . . . . . . . . multiply by the inverse of the coefficient of d
240 = d

The Gomez family traveled 240 miles from their house to the resort.

4 0

4 years ago