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2 years ago

Which of the following is a degenerate circle?

Mathematics

1 answer:

LekaFEV [45]2 years ago

4 0

The require degenerative circle is (x - 5)² + (y - 1)² = 0. Option C is correct.

Given that,
The equation for the degenerative circle is to be determined.

<h3>What is a circle?</h3>

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.

The degenerative circle is a circle whose radius is zero, from the option,
Option C has the equation of the circle with radius zero.

Thus, the required degenerative circle is (x - 5)² + (y - 1)² = 0.

Learn more about circle here:

brainly.com/question/11833983

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Graph the equations to solve the system y=-3x-6. Y=-3x-7

Llana [10]

Answer:

Step-by-step explanation:

D. No solution

This is simply because -3x-6 cannot equal -3x-7 because -6 and -7 are different numbers therefore x is a false statement.

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2 years ago

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Is there any combination of education and post-graduation? Write the five basic objectives of education

Degger [83]

Answer:

Step-by-step explanation:

Actually 'post-graduation' is a type of education. Education only means learning, so post graduation is a type of education.

<u>OBJECTIVES OF EDUCATION:</u>

Usually an educational objective relates to gaining an ability, a skill, some knowledge, a new attitude etc. rather than having merely completed a given task.

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4 years ago

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Help me with this pls help

azamat

Answer:

1646/1

Step-by-step explanation:

To write 1646 as a fraction you have to write 1646 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1646 = 1646/1 = 16460/10

6 0

3 years ago

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The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to

alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 1164, p = 0.038$

$\mu = E(X) = np = 1164*0.038 = 44.232$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231$

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is $P(X \geq 47 - 0.5) = P(X \geq 46.5)$ , which is 1 subtracted by the pvalue of Z when X = 46.5.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{46.5 - 44.232}{6.5231}$

$Z = 0.35$

$Z = 0.35$ has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0

3 years ago

Please answer these questions!!!!!! Fast!!!!!!

vodka [1.7K]

Answer:

For an object of mass M and velocity V, the kinetic energy is written as:

K = (M/2)*V^2

And also remember that:

1 J = 1 kg*m/s

a) we know that:

Mass = M = 0.7 kg

Velocity = V = 60 m/s

Then the kinetic energy is:

K = (0.7kg/2)*(60m/s)^2 = 1,260 J

b) We know that in a closed system, the energy is conserved.

This means that if we hit an object with an energy E, the maximum energy that we can give to that object is E.

Then if we have a bat of mass M = 2kg, and velocity V = 30m/s

The kinetic energy of the bat (before hitting the ball) is:

K = (2kg/2)*(30m/s)^2 = 900 J

Obviously, this will never happen, because after we hit the ball the bat keeps moving for a bit, meaning that it still has some kinetic energy and it did not transfer all of the kinetic energy to the ball. But we can not have a more precise estimation, because we do not know the mass of the ball and a lot of other needed information, so we can conclude that, the theoretical maximum energy that could be given to the ball, is 900 J.

c) Here we have:

Mass = M = 1950 kg

Velocity = V = 10 m/s

then the energy is:

K = (1950kg/2)*(10 m/s)^2 = 97,500 J.

d) Notice that in the equation of the kinetic energy we have the velocity squared, which means that the contribution of the velocity is larger than the contribution of the mass.

Then the option with the largest velocity most likely would have the largest kinetic energy, then the correct option is the second counting from the top, with a kinetic energy equal to:

K = (0.25 kg/2)*(50m/s)^2 = 312.5 J.

5 0

3 years ago