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lozanna [386]
3 years ago
5

Wat is linear regression

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
Linear regression - the relation between variables when the regression equation is linear: e.g., y = ax + b
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Write 186% as a mixed number in simplest form
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If f(x) = x^2 - 2x and g(x) = 6x + 4, for which value of x does (f+g)(x) = 0?
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In terms of X then x would be equal to -2
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2 years ago
An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same
Andru [333]

General Idea:

The volume of cylinder is given by \pi r^{2} h, where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder =\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}

Volume of half cylinder =\frac{576\pi }{2} =288\pi cm^{3}

Step 2: Let x be the number of minutes of filling the sand.

6 cm^{3} of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute= 6*4 cm^{3} = 24 cm^{3}.

8 cm^{3} of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute=24 cm^{3} - 8cm^{3}=16cm^{3}

Volume of sand filled in x minutes = 16x.

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

16x = 288\pi \\ \\ x=\frac{288\pi}{16}  \\ \\ x=18\pi \\ \\ x=57 minutes

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0
3 years ago
The Calef family likes to paddle along the Susquehanna River.
xxTIMURxx [149]

<u><em>Answers:</em></u>

a. \frac{14}{3}=4.667 miles/day

b. 14 miles

<u><em>Explanation:</em></u>

<u>Part a:</u>

We are given that they paddled a total distance of 14 miles for 3 days. To get the distance paddled each day, we will divide the total paddled distance by the number of days

<u>This is done as follows:</u>

Distance paddled each day = \frac{14}{3}=4.667 miles/day

<u>Part b:</u>

<u>Now, we are given that:</u>

<u>i. They went half their daily distance:</u>

Daily distance = \frac{1}{2}*\frac{14}{3}=\frac{7}{3} miles/day

<u>ii. They extended the trip twice as many days</u>

Number of days = 2 × 3 = 6 days

The total distance paddled will be equivalent to the product of the distance paddled each day and the total number of days

<u>This means that:</u>

Total distance = \frac{7}{3}*6=14 miles

Hope this helps :)

4 0
3 years ago
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