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Nuetrik [128]
3 years ago
6

Colleen's movie collection contains 6 movies, including 2 action movies. What is the probability that a randomly selected movie

will be an action movie?
Mathematics
1 answer:
ioda3 years ago
5 0

Answer:

33.33% probability that a randomly selected movie will be an action movie

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

2 action movies out of 6.

Probability of selecting an action movie.

2/6 = 0.3333

33.33% probability that a randomly selected movie will be an action movie

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Use the graph of f(x) below to estimate the value of f '(3):
klio [65]
Well, looking at the graph, notice, its vertex is at 0,9, and it passes through the points -3,0 and 3,0, so hmm let's use 3,0, to get the equation of f(x)

\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------

\bf vertex~(0,9)~
\begin{cases}
h=0\\
k=9
\end{cases}\implies y=a(x-0)^2+9
\\\\\\
\textit{we also know that }
\begin{cases}
x=3\\
y=0
\end{cases}\implies 0=a(3-0)^2+9
\\\\\\
-9=9a\implies \cfrac{-9}{9}=a\implies -1=a\quad thus\quad \boxed{y=-x^2+9}
\\\\\\
\left. \cfrac{dy}{dx}=-2x \right|_{x=3}\implies -6
3 0
3 years ago
Read 2 more answers
How do u do order pairs
hjlf
(your x's, Your y's)
3 0
3 years ago
Read 2 more answers
There are 12 boys and 14 girls in a class. One of the students is selected at random to represent the class at student council.
Tema [17]

Answer:

Step-by-step explanation:

8 0
4 years ago
Need help asap please! Thanks!
KonstantinChe [14]
The diagram tells us 3 things: the right angle and the two corresponding side measurements. Because the side measurements are corresponding, we can set a proportion:

6/9=9/15

If this proportion is true, it means the triangles are similar. If this proportion is impossible, it means the triangles are no similar.

To calculate this, we use cross multiplication.

6/9=9/15

6*15=9*9
90=81

90 does not equal 81 making this proportion impossible, which concludes that these two triangles are not similar.

I hope this helps! Please comment if you have any questions.
5 0
3 years ago
Find the area of the triangle with the given
LekaFEV [45]

Answer:

616.2442

area to the nearest whole number=616

Step-by-step explanation:

using formula 1/2absinx

where a =44,b=29 ,x=105

1/2x44x29xsin105

44x29=1276

1276÷2=638

638 x sin 105

the sin of 105 is 0.9659

if u are using a four figure table where u can't find 105 under sin of angle

u simply subtract 105 from 180=75

638 x 0.9659 =616.2442

approx.616

6 0
3 years ago
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