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Oksi-84 [34.3K]
2 years ago
15

A farmer is having problems with birds eating her crops. She tries putting up different numbers of scarecrows to keep the birds

away. The average number of crops eaten is 200, and the average number of scarecrows she has put up is 20.
The farmer finds some of the linear regression equation:
number of crops eaten = a - 0.8*(number of scarecrows).
What is the value of the intercept?
Mathematics
1 answer:
Alexeev081 [22]2 years ago
3 0

Answer:

The value of the intercept is a=216.

Step-by-step explanation:

We define "s" as the number of scarecrows and "C" the number of crops eaten.

The farmer finds the linear regression equation:

C=a-0.8s

We have a linear function, for which we only know the slope (m=0.8) and a point within it (when s=20, C=200).

We can find a replacing the variables C asn s with the known point (20, 200):

C=a-0.8s\\\\C(20)=a-0.8(20)=200\\\\a=200+0.8*20=200+16\\\\a=216

The value of the intercept is a=216.

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Well, since you jogged 6/23 mi. a day, for 4 days, it'll be (6/23)×4. This is 24/23 which is one mile and 1/24 of one.
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2 years ago
Below is how many wild unicorns live in each of the six enchanted forests on Mystical Island.
zlopas [31]

Answer:

The histogram of the data is attached below.

Step-by-step explanation:

A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.

The data provided is:

X   Frequency

1           12

2           3

3           7

4           9

5          18

6          14

The histogram of the data is attached below.

5 0
2 years ago
A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2
Romashka [77]

Answer:

The answer is approximately 5.09 seconds.

Step-by-step explanation:

The given equation is:

f(x) = -5x^2 + 250

To find the elapsed time, x, set the equation equal to 120 and solve for x:

-5x^2 + 250 = 120

-5x^2 = -130

x^2 = -130/-5 = 26

x = Sqrt(26) = 5.09 seconds.

8 0
2 years ago
Read 2 more answers
Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right
KiRa [710]

Answer:

3\sqrt{5}\ units

Step-by-step explanation:

<u>Theorem 1:</u> The height of right triangle drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments. Hence,

KM^2=ML\cdot MJ\\ \\6^2=ML\cdot 3\\ \\3ML=36\\ \\ML=12\ units

<u>Theorem 2:</u> In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Thus,

KJ^2=MJ\cdot ML\\ \\KJ^2=3\cdot (3+12)\\ \\KJ^2=3\cdot 15\\ \\KJ^2=45\\ \\KJ=\sqrt{45}=3\sqrt{5}\ units

5 0
2 years ago
Michael solved this inequality as shown: Step 1: -6(x + 3) + 10 &lt; -2 Step 2: -6x − 18 + 10 &lt; -2 Step 3: -6x − 8 &lt; -2 St
Amiraneli [1.4K]

Answer:

<h2>D. addition property of inequality</h2>

Step-by-step explanation:

Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6

From step 3;

-6x − 8 < -2

Michael got the step 4 by adding 8 to both sides of the inequality as shown;

-6x − 8 + 8 < -2 + 8

-6x < 6 (Step 4)

Since Michael added 8 to both sides of the inequality, <em>the property that justifies the transition from step 3 to step 4 is the </em><u><em>addition property of inequality</em></u><em>. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.</em>

8 0
2 years ago
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