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KonstantinChe [14]
3 years ago
6

At the school cafeteria, you can get 3 slices of pizza for $5.94. At this rate, how much would 7 slices cost, in dollars and cen

ts?
Mathematics
1 answer:
gavmur [86]3 years ago
8 0

Answer:

$13.86

Step-by-step explanation:

$5.94 / 3 = $1.98

1 slice = $1.98

7 slices = $1.98 x 7 = $13.86

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Precalc please help!!!
Damm [24]

Answer:

D

Step-by-step explanation:

If sinθ = -2/3, the hypotenuse is 3. Therefore, the answer is either C or D. Then, use the pythagorean theorem to determine the value of the last leg. And the answer is D

3 0
2 years ago
• karger's min cut algorithm in the class has probability at least 2/n2 of returning a min-cut. how many times do you have to re
MrRissso [65]
The Karger's algorithm relates to graph theory where G=(V,E)  is an undirected graph with |E| edges and |V| vertices.  The objective is to find the minimum number of cuts in edges in order to separate G into two disjoint graphs.  The algorithm is randomized and will, in some cases, give the minimum number of cuts.  The more number of trials, the higher probability that the minimum number of cuts will be obtained.

The Karger's algorithm will succeed in finding the minimum cut if every edge contraction does not involve any of the edge set C of the minimum cut.

The probability of success, i.e. obtaining the minimum cut, can be shown to be ≥ 2/(n(n-1))=1/C(n,2),  which roughly equals 2/n^2 given in the question.Given: EACH randomized trial using the Karger's algorithm has a success rate of P(success,1) ≥ 2/n^2.

This means that the probability of failure is P(F,1) ≤ (1-2/n^2) for each single trial.

We need to estimate the number of trials, t, such that the probability that all t trials fail is less than 1/n.

Using the multiplication rule in probability theory, this can be expressed as
P(F,t)= (1-2/n^2)^t < 1/n 

We will use a tool derived from calculus that 
Lim (1-1/x)^x as x->infinity = 1/e, and
(1-1/x)^x < 1/e   for x finite.  

Setting t=(1/2)n^2 trials, we have
P(F,n^2) = (1-2/n^2)^((1/2)n^2) < 1/e

Finally, if we set t=(1/2)n^2*log(n), [log(n) is log_e(n)]

P(F,(1/2)n^2*log(n))
= (P(F,(1/2)n^2))^log(n) 
< (1/e)^log(n)
= 1/(e^log(n))
= 1/n

Therefore, the minimum number of trials, t, such that P(F,t)< 1/n is t=(1/2)(n^2)*log(n)    [note: log(n) is natural log]
4 0
3 years ago
If Oscar the ostrich travels 78 miles in 2 hours on land, how fast does he travel?
Aleks04 [339]
Speed=distance traveled/time of the travel=78/2=39 mph
3 0
3 years ago
What is the volume of a sphere with a radius of 4
Ede4ka [16]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

V = \frac{4}{3}\pi  r^{3}

Here, we are given that our sphere has a radius of 4 units.

So plugging into the formula, we have (\frac{4}{3})(\pi)(4 units)^{3}.

Start by simplifying the exponent.

(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.

So we have (\frac{4}{3})(\pi)(64 units^3}).

Next, we multiply (4/3)(64) which can

be thought of as (4/3)(64/1)

So multiplying across the numerators and across the denominators,

we have \frac{256}{3} \pi units^{3}.

5 0
2 years ago
x and y are integers between 0 and 10 that satisfy the equation shown below. x2=y⎯⎯√+3 What values for x and y satisfy the equat
8_murik_8 [283]
<span>x2=y⎯⎯√+3  
x^2 =y-1.732051</span>
7 0
3 years ago
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