A crop scientist is conducting research with a drought resistant corn hybrid. She is interested in determining if increasing the spacing between these plants will increase yield. She prepares 30 single acre plots and randomly assigns 15 to have normal spacing while the other 15 are planted with an expanded spacing. The resulting average yield for each group of 15 plots was recorded.

Select all that apply.

Select one or more:
a. The explanatory variable is whether the corn plants had normal spacing or expanded spacing.
b. The response variable is the yield of the crops.
c. The explanatory variable is the yield of the crops.
d. The response variable is whether the corn plants had normal spacing or expanded spacing.
e. This study is best described as an experiment.
f. This is best described as an observational study.

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

[tex]a-a =0[/tex]

Or in the other case:

[tex]-a -(-a) =-a +a=0[/tex]

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

[tex]a-a =0[/tex]

Or in the other case:

[tex]-a -(-a) =-a +a=0[/tex]

So then we can conclude that the expression is a general rule and is true

Answer:

Step-by-step explanation:

Just integrate r(t) with respect to t  

Integrate r(t) dt = 400t -(4t^2)/2 + C

                      = 400t -4t^2 + C

where C is a constant

then replace the above answer with 30 and 0, then do subtraction for both answers

hence the amount of water flows during first 30 mins is

=   {400*30 - 4*(30)^2 + C} - {400*0 - 4*(0)^2 + C}

=  12000 - 3600

=   8400 liters

The amount of water that flows from the tank during the first 30 minutes is 8,400Liters.

Based on the information definite integral will be use to find the amount of water.

Using this formula

[tex]\int_{a}^{b} r(t) dt\\\\\\Where:\\r(t)=400-8t\\\\\\ \int_{a}^{b} r(t) dt\ = \int_{0}^{30} (400-8t) dt\\\\\\\\ \int_{a}^{b} r(t) dt\ = (400t-8t^2/2)_{0}^{30}\\\\\\\\ = (400t-4t^2)_{0}^{30}\\\\\\\\=(400\times30)-4(30)^2\\\\\\=12,000-4(900)\\\\\\=12,000-3,600\\\\\\=8,400\ liters\\[/tex]

Inconclusion the amount of water that flows from the tank during the first 30 minutes is 8,400Liters.

Learn more here:

https://brainly.com/question/13901441

Answer:

(a)y=-10x

(b)x=0.9

Step-by-step explanation:

If y varies directly with x, we write:

[tex]y \propto x\\y=kx$ where k is the constant of proportionality.\\If $x = -19, y = 190\\190=-19k\\$Divide both sides by -19\\k=190 \div -19\\k=-10\\[/tex]

Therefore, a direct variation equation relating y to x is:

(a)y=-10x

(b)When y=-9

Substituting y=-9 into the equation obtained in (a) above

[tex]-9=-10x\\$Divide both sides by -10$\\x=-9\div -10\\x=0.9\\$Therefore, when $ y=-9, x=0.9[/tex]

Answer:

p=8in+8in+12in+7in

=35 in

Answer:

35

Step-by-step explanation:

Answer:

28 are large or blue.

Step-by-step explanation:

In this case they ask us how many are big or blue, that is, either of the two characteristics are valid, they tell us the following things in the statement:

17 large and blue, that is, 17 comply with what they ask us, since they are blue or large.

3 small and blue, that is 3 since they are blue, and we must take them into account.

8 large and red, you have to add 8 more because there are 8 large ones here.

12 small and red, none of them meet the requested characteristics, that is, they are in total:

17 + 3 + 8 = 28

28 are large or blue.

Answer:

The easiest way to factor it is to use grouping.

Step-by-step explanation:

you look at only two terms at a time to see if any techniques become apparent.

The grouping factoring method should be used to factor a polynomial with four terms.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The simplest method to factor a polynomial with four or more parts is to use grouping. With this approach, you evaluate just two terms at once to determine whether any methods stand out.

Therefore, the grouping factoring method should be used to factor a polynomial with four terms.

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ6

Answer:

=2v−20

Step-by-step explanation:

Let's simplify step-by-step.

v−2+v−18

=v+−2+v+−18

Combine Like Terms:

=v+−2+v+−18

=(v+v)+(−2+−18)

=2v+−20

Answer:

=2v−20

Answer:

[tex]10\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]7\frac{3}{5} + x = 18\\[/tex]

transformation : [tex]7\frac{3}{5} = \frac{(5*7) + 3}{5} = \frac{38}{5}[/tex]

[tex]\frac{38}{5} + x = 18\\\\x = 18 - \frac{38}{5} = \frac{(5*18) - 38}{5} = \frac{52}{5}[/tex]

[tex]\frac{52}{5} = 10\frac{2}{5}[/tex]

Answer:

[tex]10\frac{2}{5}[/tex]

Step-by-step explanation:

What should be add to [tex]7\frac{3}{5}[/tex]  to get [tex]18[/tex] ?

[tex]18-7\frac{3}{5}=\\ \\=17\frac{5}{5}-7\frac{3}{5}\\\\\\=(17-7)+(\frac{5}{5}- \frac{3}{5})\\ \\=10+\frac{2}{5}\\ \\=10\frac{2}{5}[/tex]

Answer:

B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10

Step-by-step explanation:

→Looking at the line as it increases, you can see that it intersects at the point of (0, 5) on the y-axis.

→The line on the graph is increasing from the point where x = -10, and stops at x = 2.

→The line then stays constant (basically meaning it doesn't increase/decrease, making it a horizontal line), strting from x = 2, to x = 10.

Looking at the points above, you can determine that the correct answer is "B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10."

Answer:

  C. F(x) = | x |

Step-by-step explanation:

The parent function has no adornments, shifts, multipliers, offsets, reflections, or anything else.

The absolute value of x is written |x|. That is the parent absolute value function.

  F(x) = |x|

Answer: C

Step-by-step explanation:

Answer: B. -2x^4y^3

Step-by-step explanation:

Multiply the variables by each other.

-2x^3 * x = -2x^4

y * y^2 = y^3

Answer:

B) -2x4y3

Step-by-step explanation:

Answer:

cos(β)  = √6/3

Step-by-step explanation:

Given  β lies in the fourth quadrant and sin (β) = -√3/3

we know that the trigonometry formula

sin²(β)+cos²(β) = 1

cos²(β) = 1- sin²(β)

cos²(β) = 1- ( -√3/3)²

           = [tex]1-\frac{3}{9} } } =\frac{6}{9}[/tex]

cos(β) =  √6/9 = √6/3

we Know that β lies in the fourth quadrant  so cos(β) is Positive

cos(β)  = √6/3

Answer:

6*3 = 18 candies - Ahmad

6*4 = 24 candies - Zara

6*5 = 30 candies - Bilal

Step-by-step explanation:

3+4+5= 12 parts

72 : 12 = 6 candies is one part

6*3 = 18 candies - Ahmad

6*4 = 24 candies - Zara

6*5 = 30 candies - Bilal

Step-by-step explanation:

[tex]5(2x - 4) = 2(4x + 2) \\ 10x - 20 = 8x + 4 \\ 2x = 24 \\ x = 12[/tex]

the answer is in the photos

Answer: C,D are true

Step-by-step explanation:

Answer:

Step-by-step explanation:

C and D are both true the rest are false

Answer:

The centroid is 1/3 of the vertical distance between QV

QV = 3 x VT = 3 x 5 = 15

QT = 15-5 = 10

Answer:

14739

Step-by-step explanation:

1/2mv^2

1/2*105*17*17

=14739

Answer:

z=1/9w

Step-by-step explanation:

Equation w = 9z best describes the proportional relationship between w and z.

Data has been given
w = 18   45   81
z  =  2     5     9

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Clearly from the data as z increases w increases so it implies w is directly proportional to z.
w ∝ z
w = kz - - - - - -  (1)
Where k is proportionality constant.
From data put w = 18 and z = 2
18=k*2
k=18/2
k=9
put k in equation w =kz
w = 9z
It shows that w is directly proportional to z by the constant of proportionality 9.

Thus equation w = 9z best describes the proportional relationship between w and z.

Learn more about proportionality here:
https://brainly.com/question/22620356

#SPJ2

Answer:

x=5/4

Step-by-step explanation:

First, plug in 1 for y. Since a common denominator for the right side is 3, multiply both sides by 3 to get 3=x+11/5. Then multiply both sides by 5 to get 15=5x+11. Subtract 11 on both sides to get 4=5x. Finally divide by 5 to get x by itself and get x = 5/4.

Answer:

(a) [tex]A_1[/tex] and [tex]A_2[/tex] are indeed mutually-exclusive.

(b) [tex]\displaystyle P(A_1\; \cap \; B) = \frac{1}{20}[/tex], whereas [tex]\displaystyle P(A_2\; \cap \; B) = \frac{1}{25}[/tex].

(c) [tex]\displaystyle P(B) = \frac{9}{100}[/tex].

(d) [tex]\displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}[/tex], whereas [tex]P(A_1 \; |\; B) = \displaystyle \frac{4}{9}[/tex]

Step-by-step explanation:

[tex]P(A_1 \; \cap \; A_2) = 0[/tex] means that it is impossible for events [tex]A_1[/tex] and [tex]A_2[/tex] to happen at the same time. Therefore, event [tex]A_1[/tex] and [tex]A_2[/tex] are mutually-exclusive.

By the definition of conditional probability:

[tex]\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}[/tex].

Rearrange to obtain:

[tex]\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot P(A_1) = 0.25 \times 0.20 = \frac{1}{20}[/tex].

Similarly:

[tex]\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot P(A_2) = 0.80 \times 0.05 = \frac{1}{25}[/tex].

Note that:

[tex]\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}[/tex].

In other words, [tex]A_1[/tex] and [tex]A_2[/tex] are collectively-exhaustive. Since [tex]A_1[/tex] and [tex]A_2[/tex] are collectively-exhaustive and mutually-exclusive at the same time:

[tex]\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}[/tex].

By Bayes' Theorem:

[tex]\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}[/tex].

Similarly:

[tex]\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}[/tex].

Using probability concepts, along with conditional probability and Bayes Theorem, it is found that:

a) [tex]P(A1 \cap A2) = 0[/tex], thus yes, A1 and A2 are mutually exclusive.

b) The probabilities are: P(A1 ∩ B) = 0.05, P(A2 ∩ B) = 0.04.

c) The probability of event B is: P(B) = 0.09.

d) The probabilities are: P(A1|B) = 0.5555 and P(A2|B) = 0.4445.

-----------

Conditional Probability  

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]  

-----------

Bayes Theorem:  

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

-----------

Item a:

Item b:

Using conditional probability.

A1 and B:

[tex]P(B|A1) = \frac{P(A1 \cap B)}{P(A1)}[/tex]

[tex]0.25 = \frac{P(A1 \cap B)}{0.2}[/tex]

[tex]P(A1 \cap B) = 0.25(0.2) = 0.05[/tex]

A2 and B:

[tex]P(B|A2) = \frac{P(A2 \cap B)}{P(A2)}[/tex]

[tex]0.05 = \frac{P(A1 \cap B)}{0.8}[/tex]

[tex]P(A1 \cap B) = 0.8(0.05) = 0.04[/tex]

Item c:

P(B) is given by:

[tex]P(B) = P(A1 \cap B) + P(A2 \cap B) = 0.05 + 0.04 = 0.09[/tex]

Item d:

Applying Bayes Theorem

[tex]P(A1|B) = \frac{P(A1)P(B|A1)}{P(B)} = \frac{0.25(0.2)}{0.09} = 0.5555[/tex]

[tex]P(A2|B) = \frac{P(A2)P(B|A2)}{P(B)} = \frac{0.8(0.05)}{9} = 0.4445[/tex]

A similar problem is given at https://brainly.com/question/22428992

Answer:

8

Step-by-step explanation:

1 quart=4 cups so 4x2=8

Answer:

[tex]1^x[/tex] is always 1, so [tex]1^x-1^x=0[/tex]

es0

dame grasias

si soi nuevo

Answer:

19.99

Step-by-step explanation:

First you would multiply .44 by 16 to get 7.04

then you would add 12.95 to get 19.99

Answer:

Red balls 2/14

Green balls 1/14

Step-by-step explanation:

I hope that helped.

Answer:

  0.78%

Step-by-step explanation:

The percentage tax rate required is t such that ...

  825t = 6.5 . . . . . milliions of dollars

  t = 6.5/825

As a percentage, ...

  t = 6.5/825 × 100% = 0.7878...% ≈ 0.78%

_____

Comment on rounding

Ordinarily, this value would be rounded to 0.79%. Property tax rates are often expressed in mils, or dollars per thousand. In that form, the tax rate would be 7.88‰ when rounded to two decimal places.

Answer:

22.05

Step-by-step explanation:

Answer:

all I see is a black image