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Tomtit [17]
3 years ago
10

a town has two shopping malls. A survey conducted on the shopping preferences of the town's showed that 62% of the residents vis

it comet mall, 73% of the residents visit star mall, and 48 % of the residents visit both malls. the probability that a resident chosen at random shops at either comet mall or at star mall is
Mathematics
2 answers:
padilas [110]3 years ago
4 0
If you add the percentages that visit each mall, (62% +73%), you count twice those that visit both malls. Subtracting that percentage (48%) from the sum (135%), you get the percentage that visit either mall ...
  87%.
kolbaska11 [484]3 years ago
4 0

Answer:  

The probability that a resident chosen at random shops at either comet mall or at star mall = 87%

Step-by-step explanation:

Percentage of residents who visited both malls = 48%

Percentage of residents who visited Comet mall = 62%

So, Percentage of residents who visited Comet mall only = 62 - 48

                                                                                                = 14%

Percentage of residents who visited Star mall = 73%

So, Percentage of residents who visited Star mall only = 73 - 48

                                                                                                = 25%

So, The probability that a resident chosen at random shops at either comet mall or at star mall = 48% + 14% + 25%

                                 = 87%

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Anestetic [448]

Answer:

y = kx

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y = kx where k is the proportionality constant.

So in the relationship where x represents the number of adults, and y represents the number of students,

y ∝ x and y = kx

y = kx is the required equation

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3 years ago
Mr. Webster is buying a carpet for an exercise room in his basement the room will have an area of 230 ft.².
kumpel [21]
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What is the equation written in vertex from of a parabola with a vertex of (4, –2) that passes through (2, –14)?
vichka [17]

Answer:

y = -3(x - 4)² - 2

Step-by-step explanation:

Given the vertex, (4, -2), and the point (2, -14):

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y = a(x - h)² + k

Where:

(h, k) = vertex

a  =  determines whether the graph opens up or down, and it also makes the parent function <u>wider</u> or <u>narrower</u>.

  • <u>positive</u> value of a = opens <u><em>upward</em></u>
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<em>h </em>=<em> </em>determines how far left or right the parent function is translated.

  • h = positive, the function is translated <em>h</em> units to the right.
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<em>k</em> determines how far up or down the parent function is translated.

  • k = positive: translate <em>k</em> units <u><em>up</em></u>.
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Now that I've set up the definitions for each variable of the vertex form, we can determine the quadratic equation using the given vertex and the point:

vertex (h, k): (4, -2)

point (x, y): (2, -14)

Substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

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-14 = a (-2)² -2

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Add to to both sides:

-14 + 2 = a4 + -2 + 2

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Divide both sides by 4 to solve for a:

-12/4 = 4a/4

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Therefore, the quadratic equation inI vertex form is:

y = -3(x - 4)² - 2

The parabola is downward-facing, and is vertically compressed by a factor of -3. The graph is also horizontally translated 4 units to the right, and vertically translated 2 units down.

Attached is a screenshot of the graph where it shows the vertex and the given point, using the vertex form that I came up with.

Please mark my answers as the Brainliest, if you find this helpful :)

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Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :

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Step-by-step explanation:

like if this was helpful

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