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madam [21]
2 years ago
7

A large farm wants to try out a new type of fertilizer to evaluate whether it will improve the farm’s corn production. The land

is broken into plots that produce an average of 1,215 pounds of corn with a standard deviation of 94 pounds per plot. The owner is interested in detecting any average difference of at least 40 pounds per plot. How many plots of land would be needed for the experiment if the desired power level is 90%? Assume each plot of land gets treated with either the current fertilizer or the new fertilizer
Mathematics
1 answer:
Tanya [424]2 years ago
5 0

Answer:

N = 116 plots of land would be needed for the experiment if the desired power level is 90%

Step-by-step explanation:

A large farm wants to try a new fertilizer to evaluate wether it will improve the farm's yield. The land is broken into identical sized plots that produce an average of 1,215lbs/plot of beans with a SD=94lbs/plot. The owner is interested in detecting any average difference of at least 40lbs/plot. How many plots would be needed for the experiment if the desired power level is 90%?

alpha / 2 = 0.48 Z= 0.05

N = [ 0.05 * 94 / 40 ] ^2

N = 116

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WITCHER [35]
First lets get 3% into decimal form. 

3% is 3/100  = 0.03

Now multiply 0.03 by 47000 to get how much extra money she was going to get. 

47000 * 0.03 = 1410

Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012

Another way to do this is 

(47000)(1+0.03) = 48410

you would use (1+0.03) which tells you she increased in pay. 
4 0
2 years ago
Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are perp
Alisiya [41]

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Step-by-step explanation:

This is because x = -2 and half of -2 is 1

when we use CD line and x2 we find 8x+4y=16 when added to 2x -4y=8 would equal 10x+4y = 2 1/2 xy = 16

When we use for AB line we see they are perpendicular 2 1/2 x 2 = 5 -4y = 8 shows y to be -2 and the 1/2 line leaves -2 1/2 and x also is 2 1/2.

6 0
2 years ago
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What are the vertex and x-intercepts of the graph of the function given below?
madreJ [45]
VERTEX
To determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex = -\dfrac{b}{2a}

y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex = -\dfrac{b}{2a}
x vertex =  -\dfrac{(-2)}{2(1)}
x vertex =  \dfrac{2}{2}
x vertex = 1

To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49

The vertex is (1, -49)

X-INTERCEPT
x-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
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The answer is first option
5 0
2 years ago
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Luden [163]

Answer:

Option B is correct, i.e. √13.

Step-by-step explanation:

Given is the complex plane and the coordinates of point A(-3, -2).

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OA = √(9+4)

OA = √13.

Hence, option B is correct, i.e. √13.

8 0
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