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sladkih [1.3K]
3 years ago
5

PLEASE HURRY!!!!!!

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

As data distribution is symmetric for Coffee Shop A and data distribution is not symmetric for Coffee Shop B.

Therefore, option 4) is correct which states that "Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric".

Step-by-step explanation:

<u><em>Calculation for Coffee Shop A: </em></u>

The data distribution for shop A:

55, 52, 56, 48, 57, 30, 45, 41

Arrange the data in ascending order.

30, 41, 45, 48, 52, 55, 56, 57

Mean for shop A:

Mean = (30 + 41 + 45 + 48 + 52 + 55 + 56 + 57)/8 = 48

Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{48+52}{2}=50

As Mean and Median are close. Hence, data distribution is symmetric for Coffee Shop A.

<u><em>Calculation for Coffee Shop B: </em></u>

The data distribution for shop B:

45, 42, 57, 48, 11, 10, 46, 43

Arrange the data in ascending order.

10, 11, 42, 43, 45, 46, 48, 57

Mean for shop B:

Mean = (10 + 11 + 42 + 43 + 45 + 46 + 48 + 57)/8 = 37.75

Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{43+45}{2}=44

As Mean and Median are not close. Hence, data distribution is not symmetric for Coffee Shop B.

As data distribution is symmetric for Coffee Shop A and data distribution is not symmetric for Coffee Shop B.

Therefore, option 4) is correct which states that "Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric".

<em>Keywords: data distribution, median , mean</em>

<em> Learn more about data distribution from brainly.com/question/12739688</em>

<em> #learnwithBrainly</em>

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kakasveta [241]

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Step-by-step explanation:

8x + 9 and 51 are same- side interior angles and sum to 180° , then

8x + 9 + 51 = 180

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Step-by-step explanation:

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3 0
3 years ago
A particle is moving along the curve y= 4sqrt(5x+11) . As the particle passes through the point (5,24) , its -coordinate increas
kupik [55]

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

y= 4\sqrt{5x+11} .

The rate of change of y is given as:

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by differentiating both sides,

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From the question, we have:

(x, y) =  (5,24)

Substitute 5 for x and dy / dx = 2

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Read more about rates of change at:

brainly.com/question/13103052

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8 0
2 years ago
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
kramer

Answer:

y = 1/12 (x − 5)²

Step-by-step explanation:

We can solve this graphically without doing calculations.

The y component of the focus is y = 3.  Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient.  That narrows the possible answers to A and C.

The x component of the focus is x = 5.  Since this is above the vertex, we know the x component of the vertex is also x = 5.

So the answer is A. y = 1/12 (x−5)².

But let's say this wasn't a multiple choice question and we needed to do calculations.  The equation of a parabola is:

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The vertex is halfway between the focus and the directrix.  So p is half the difference of the y components:

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Ganezh [65]
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Hope this helps
4 0
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