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Vilka [71]
3 years ago
13

What is the length of the side opposite angel d? units sin(D) =

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer: 5 units

sin(D) = 5/13

Step-by-step explanation: edge 2021

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Inherently, industry analysis is a static framework, but it can be used in a quasi-dynamic way by applying the framework at diff
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True

Step-by-step explanation:

Quasi-dynamic is a framework which accounts for inertial effects. In this we determine the long term behavior of state. It can be used to identify industry analysis where the industry is in a static state. Quasi static is a thermo-dynamic process that remains in internal equilibrium.

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3 years ago
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0
3 years ago
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erik [133]

Answer:

  r = 6.4/(1+sin(θ))

Step-by-step explanation:

As the attachment shows, for the given directrix and eccentricity, the equation is ...

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