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KonstantinChe [14]
3 years ago
13

Hi! I found the vertex for this problem, but how would I find the rest of the equation?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0
If you're working with focus and directrix, you know the equation of the quadratic is
.. y = 1/(4p)*(x -h)^2 +k
where p is the distance from focus to vertex or half the distance from focus to directrix. P is positive when the focus is above the directrix, as here. Of course, (h, k) is the vertex.

Selection (4) is appropriate.

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2(x - 12)=16 what is x
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The answer is 21, ….. because
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Noah borrowed $0.80 from his friend John five days last week to buy chips. how much does Noah owe John?
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$0.80

Step-by-step explanation:

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Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a
spin [16.1K]

Answer:

Mean = 68.9

s^2 =18.1 --- Variance

Step-by-step explanation:

Given

\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5

For 59 - 66

x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5

For 67 - 74

x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5

For 75 - 82

x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5

For 83 - 90

x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5

So, the table becomes:

\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

The mean is then calculated as:

Mean = \frac{\sum fx}{\sum f}

Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}

Mean = \frac{2547.5}{37}

Mean = 68.9 -- approximated

Solving (b): The sample variance:

This is calculated as:

s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}

So, we have:

s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}

s^2 =\frac{652.8}{36}

s^2 =18.1 -- approximated

5 0
2 years ago
Amelia pays $24 to rent a boat at the lake for up to six hours she constructs the inequality and number line below to represent
liubo4ka [24]
Money= how many hours
$4= 1h
$8=2h
$12=3h
$16=4h
$20=5h
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l hope that helps :)
5 0
3 years ago
Only correct answers please :-)!!
Tpy6a [65]
38.95 * 2 = 77.90.
115 - 77.90 = 37.10.
$37.10 is how much she can spend on the skirt.
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