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FinnZ [79.3K]
2 years ago
13

What value for the constant, h, in the equation shown below will result in an infinite number of solutions?

Mathematics
1 answer:
natta225 [31]2 years ago
5 0

Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

If two equations are equal, the system has infinite solutions.

In this problem, the equations are:

4x - 16 = h(x - 4).

Then:

4(x - 4) = h(x - 4).

h = 4.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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A skilled chess player believes that when they play a novice opponent, there is a 90% probability they will be able to beat them
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Answer:

b) Binomial

c) Poisson

Step-by-step explanation:

The geometric distribution is the number of trials required to have r successes. The measures the number of sucesses(wins), not the number of trials required to win r games. So the geometric distribution does not apply.

For each match, there are only two possible outcomes, either the skilled player wins, or he does not. The probability of the skilled player winning a game is independent of other games. So the binomial distribution applies.

We can also find the expected number of wins of the skilled player, which is 15*0.9 = 13.5. The Poisson distribution is a discrete distribution in which the only parameter is the expected number of sucesses. So the Poisson distribution applies.

So the correct answer is:

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7 0
4 years ago
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What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?
forsale [732]

Answer: \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Step-by-step explanation:

General equation of ellipse : \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}

Given: Vertices of ellipse : (± 9,0)

Since the vertices are of the form (± a, 0).

i.e. a=9

Thus, the major axis is along x-axis.

Also, foci of the ellipse = (±5,0)

Since, foci is of the form (± c,0), i.e. c=5

Since

c^2=a^2-b^2\\\\\Rightarrow\ 5^2= 9^2-b^2\\\\\Rightarrow\ b^2=81-25\\\\\Rightarrow\ b^2=56

Equation of ellipse :

\dfrac{x^2}{9^2}+\dfrac{y^2}{56}=1\\\\\Rightarrow\ \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Hence, the required equation : \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

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4 years ago
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Answer:

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3 years ago
What is one 1/4 added to one 1/8
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1/4+1/8= 0.375 in decimals but in a fraction form is 3/8 hope it helps!
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