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True [87]
3 years ago
11

HURRY IM TIMED

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0
Centered at the origin: C=(0,0)=(h,k)→h=0, k=0
Focus: F=(0, 4)
Vertex: V=(0, sqrt 12)

The focus and the vertex are on a vertical line: x=0, then the equation has the form:
y^2/a^2-x^2/b^2=1

Distance between the Center and the Vertex: a=sqrt(12)
a^2=[sqrt(12)]^2→a^2=12

Distance between the Center and the Focus: c=4
c^2=(4)^2→c^2=16

c^2=a^2+b^2
Replacing c^2=16 and a^2=12
16=12+b^2
Solving for b^2: 
16-12=12+b^2-12
4=b^2
b^2=4

Replacing a^2=12 and b^2=4 in the equation of the hyperbola:
y^2/a^2-x^2/b^2=1
y^2/12-x^2/4=1

Answer: The equation of the hyperbola is y^2/12-x^2/4=1
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Assume that all (525)poker hands are equally likely. What is the probability that you will be dealt:
AlekseyPX

Answer:

There is 1.98% of probability of being dealt a flush in 5-card Poker

Step-by-step explanation:

To know the probability of a flush being dealt, we can calculate the number of cases when that happens and divide it by the total number of cases of poker hands that exist, naming A the event of a flush.

We will use combinations (nCr button on a calculator) to count the number of cases, because we don't care about the order (it is the same to be dealt a 2, 4, 6, 7 and 8 of hearts than the opposite order), being a flush the event when we take 5 cards out of 13 of the same suit, times 1 out of 4 possible suits and the total number of cases is taking 5 random cards out of 52.

P_{A} =\frac{Cases   Of Flush}{Hands} =\frac{\left(\begin{array}{ccc}13\\5\end{array}\right)*\left(\begin{array}{ccc}4\\1\end{array}\right)}{\left(\begin{array}{ccc}52\\5\end{array}\right)} =\frac{5148}{2598960}=0,00198\\

That means there is about a 2% of probability of being dealt a flush.

In other words, of every 16660 plays, 33 will be, on average, a flush

6 0
3 years ago
A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent
Elodia [21]
The grade will round up to around 70 percent the low ones will hold it down
7 0
3 years ago
What are the missing angles measures in a circle with 90 degrees and 114 degrees
Firlakuza [10]
A circle is made up of angles totaling 360 degrees. To find the missing measurement, add 90 and 114. This equals 204, then Subtract 204 from 360. 360-204=156. The missing angle measurement is 156 degrees.
7 0
3 years ago
A sphere has a radius of 5 inches. What is its volume?
jarptica [38.1K]

Given  ↓

  • Radius of sphere = 5 in
<h3>To Find ↓</h3>
  • The volume of the sphere
<h3>Calculations ↓</h3>

\blue{\boxed{\mathsf{V=\frac{4}{3} \pi r^3}}

↑ formula for volume of a sphere

r = 5 in

Plug in the value of r and solve :

\blue{\boxed{\mathsf{V=\frac{4}{3}\pi (5)^3}}}

Simplify as follows :

\blue{\boxed{\mathsf{V=\frac{4}{3}\pi *125} }}

\blue{\boxed{V=\frac{4}{3} *392.7}}

Final Step :

\blue{\boxed{\pmb{V=523.6\:in\:^3}}

\footnotesize\text{hope\:helpful}

4 0
2 years ago
For brainiest:):):):):):):)
FromTheMoon [43]

Answer:

Since the scale is 1:5.

Therefore Actual height is five times Model

3.If model length is 6ft then actual length is 30 ft

4 If actial depth is 20 ft then model depth is 4 ft

5 If actual diameter is2 ft then model diameter id 0.4ft.

6 0
3 years ago
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