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2 years ago

12

Find the value of x such that the data set has the given mean. 102, 119, 107, 115, 110, x; mean 117

1 answer:

Rufina [12.5K]2 years ago

5 0

Answer:

702

Step-by-step explanation:

the answer is 702. you add all if the numbers and divide them by hiw many there are which

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Write an equation in standard form of the hyperbola described.

marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

$\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill$

$\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}$

5 0

2 years ago

Can you write the equation for a circle if the given point does not lie on the circle? Explain .

Pachacha [2.7K]

Answer:

No

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r is given as:

${(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

If a given point (x,y) does not lie on this circle, it will not satisfy its equation.

This means the distance from the point to the center is not equal to the radius.

It is either less or greater than the radius.

Hence you cannot write the equation of the circle.

3 0

2 years ago

Solve the following equation by first writing the equation in the form ax² = c

alexandr1967 [171]

The solution to the given equation is x = ±7. The correct option is d. x = ±7

<h3>Solving quadratic equations </h3>

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

x = ±7

Hence, the solution to the given equation is x = ±7

Learn more on Solving quadratic equations here: brainly.com/question/24334139

#SPJ1

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2 years ago

What is the horizontal asymptote of j(x) =

Korvikt [17]

Answer: y=7

Step-by-step explanation:

8 0

2 years ago

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Find the quotient. Write your answer in simplest form.

Llana [10]

B. 1/18

1/3/6= 1/3 x 1/6

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2 years ago

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