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2 years ago

Plz, Answer if u want brain.

Mathematics

2 answers:

serg [7]2 years ago

8 0

She forgot to add in 2 decimal places.

djyliett [7]2 years ago

3 0

You had to add 2 decimal places u forgot

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Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore, many researchers us

LenKa [72]

Answer:

(B) (0.396, 1.712)

Step-by-step explanation:

From the information given;

Confidence Interval = 0.95

Significance Level $= 1 - 0.95 = 0.05$

The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:

= $( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))$

From the regression coefficient, the estimated value of beta^ = 1.054

$= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))$

$t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}$

8 0

2 years ago

What are the factors in the expression (a+b)12

BlackZzzverrR [31]

Solution:

1) Distribute
12a+12b

Done!

7 0

3 years ago

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):

We can use the vertex form of the quadratic equation:

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 wider or narrower.

positive value of a = opens upward
negative value of a = opens downward
a is between 0 and 1, (0 < a < 1) the graph is wider than the parent function.
a > 1, the graph is narrower than the parent function.

h = determines how far left or right the parent function is translated.

h = positive, the function is translated h units to the right.
h = negative, the function is translated |h| units to the left.

k determines how far up or down the parent function is translated.

k = positive: translate k units up.
k = negative, translate k units down.

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

-14 = a(2 - 4)² -2

-14 = a (-2)² -2

-14 = a4 + -2

Add to to both sides:

-14 + 2 = a4 + -2 + 2

-12 = 4a

Divide both sides by 4 to solve for a:

-12/4 = 4a/4

-3 = a

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 :)