If the mean of a symmetric distribution is 170, which of these values could be the median of the distribution?

The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .

Readme [11.4K]

Answer:

(-21,-19)

$\sqrt{849}$

Standard form

Step-by-step explanation:

We are given the equation of circle

$x^2+y^2+42x+38y-47=0$

General equation of circle:

$x^2+y^2+2gx+2fy+c=0$

Centre: (-g,-f)

Radius: $\sqrt{g^2+f^2-c}$

Compare the equation to find f, g and c from the equation

$g\rightarrow 21$

$f\rightarrow 19$

$c\rightarrow -47$

Centre: (-21,-19)

Radius (r) $=\sqrt{21^2+19^2+47}=\sqrt{849}$

Standard form of circle:

$(x+21)^2+(y+19)^2=849$

The centre of circle at the point (-21,-19) and its radius is $\sqrt{849}$ .

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0

2 years ago

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A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat

ladessa [460]

The residual value comes out to be 2.94 cm and height is 157.06 cm

<u>Explanation:</u>

The regression equation is calculated at the first step.

height = 105.08 plus 2.599 multiply foot length

At foot length = 20cm, height = 105.08 plus 2.599 multiply 20

= 157.06 cm

Residual = Actual minus predicted value = 160 minus 157.06

=2.94 cm

B) The residual standard deviation generally gives a sense of the goodness of fit of goodness of regression equation on our data. The magnitude tells us that how much will be predicted values from model will vary from actual values. the linear model is justified.

5 0

2 years ago

Suppose that 3 boys and 2 girls go to the theater and occupy 5 seats in a row. In how many ways can they be seated if all boys s

guajiro [1.7K]

The answer to the problem is as follows:

Count all boys as one unit. Then there is one boy and 2 girls who can be permuted in 3! = 6 ways. Bout the 3 boys can permute among themselves in 3! = 6 ways.

<span>6x6 = 36 ways in which all boys are together.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!

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2 years ago

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A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts

masha68 [24]

Answer:

626 and 654

Step-by-step explanation:

Given that a television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Part I:

p = 0.48

$q=1-p = 0.52\\se = \sqrt{\frac{pq}{n} } \\\frac{0.4996}{\sqrt{n} } =$

Margin of error = $2.045*\frac{0.4996}{\sqrt{n} }626$

Sample size should be >626

Part II:

If unknown we take p = 0.5 because maximum std error for this

Here everything would be the same except insted of 0.48 we use 0.5

Margin of error = $2.045*\sqrt{\frac{0.5}{\sqrt{n} } } 654$

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a and b are too close because 0.46 proportion is close to part b proporti0n 0.5

4 0

2 years ago

Identify the key characteristics of the parent fifth-root function f (x) = ^5sqrtx. Include the following: domain, range, interv

Andre45 [30]

Given functin is :

$f\left(x\right)=\sqrt[5]{x}$

We know that the domain of the expression is all real numbers except where the expression is undefined. In given function, there is no real number that makes the expression undefined. Hence domain is all real numbers.

Domain: (-∞,∞)

Range is the set of y-values obtained by plugging values from domain so the range will also same.

Range: (-∞,∞)

If we increase value of x then y-value will also increase so that means it is an INCREASING function. You can also verify that from graph.

It crosses x and y-axes both at the origin

Hence x-intercept=0 and y-intercept=0

Graph is not symmetric about y-axis hence it can't be EVEN

Graph is not symmetric about origin so it is ODD.

There is no breaking point in the graph so that means it is a Continuous function.

There is no hoirzontal or vertical or slant line which seems to be appearing to touch the graph at infinity so there is NO asymptote.

END behaviour means how y-changes when x approaches infinity.

From graph we can see that when x-approaches -∞ then y also approaches ∞.

when x-approaches +∞ then y also approaches +∞.

7 0

2 years ago