I need help with number 2 and 3

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

Random assignment of treatments is the best way to ensure that the results of the experiment are valid and not biased. Random assignment of treatments would ensure that the results are not affected by factors such as soil type, climate, and other environmental conditions. This is because random assignment of treatments would ensure that the farms that receive the insecticide treatment are not systematically different from those that do not receive the treatment. This is important in order to gain accurate results from the experiment.

Random assignment of treatments is accomplished using the following formula:

Treatment Assignment = (Number of Farms) x (Random Number between 0 and 1)

By randomly assigning treatments to the farms, we can be sure that the results are not skewed by external factors. This will allow us to better determine the effectiveness of different insecticides in controlling pests and their impact on the productivity of tomato plants.

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

Learn more about external factors here:

https://brainly.com/question/879213

#SPJ4

The increase in equilibrium GDP would be 125.

To calculate the increase in equilibrium GDP when planned investment increases from 20 to 45, we need to consider the multiplier effect. The multiplier is determined by the marginal propensity to consume (MPC), which is the fraction of each additional dollar of income that is spent on consumption.

In this case, the consumption function is given as C = 357 + 0.8Y, where Y represents GDP. The MPC can be calculated by taking the coefficient of Y, which is 0.8.

The multiplier (K) can be calculated using the formula: K = 1 / (1 - MPC).

MPC = 0.8

K = 1 / (1 - 0.8) = 1 / 0.2 = 5

The increase in equilibrium GDP (∆Y) is given by: ∆Y = ∆I * K, where ∆I represents the change in planned investment.

∆I = 45 - 20 = 25

∆Y = 25 * 5 = 125

Therefore, the increase in equilibrium GDP would be 125.

To learn more about equilibrium GDP

https://brainly.com/question/32297029

#SPJ11

Answer:

  D.  (-2, -7)

Step-by-step explanation:

I find the easiest way to locate the vertex or x-intercepts is to use a graphing calculator (see below). The vertex is the extreme point on the graph. For this function, it is (-2, -7), choice D.

__

The axis of symmetry of the graph is the vertical line such that every point on the left is a mirror image of the corresponding point on the right. Here, that axis of symmetry is x=-2. (It is shown as a dashed orange line on the graph.)

The location of the axis of symmetry for quadratic ...

  y = ax^2 +bx +c

is x = -b/(2a).

For your function,

  y = 2x^2 +8x +1

the coefficients are a = 2, b = 8, c = 1. This means the axis of symmetry is ...

  x = -b/(2a) = -8/(2(2)) = -2

The vertical line at x=-2 is the axis of symmetry.

The vertex is on the axis of symmetry. Its y-value is found by evaluating the function for x = -2 (the x-value of the axis of symmetry).

  y = 2·(-2)^2 +8(-2) +1 = 2·4 -8·2 +1 = 8 -16 +1

  y = -7 . . . . at the vertex

So, the (x, y) coordinates of the vertex are (-2, -7).

Answer:

D. (-2, -7)

Step-by-step explanation:

y= 2x²+8x+1

The vertex is max or min of the graph, for the given function it is

x = -b/2a for a>0

so x= - 8/4= -2

for the point of x= -2

y= 2*4 - 16 + 1 = - 7

So vertex is  (-2, -7), choice D.

Answer:

the answer would be not here

Step-by-step explanation:

because the picture is very close to 180cm so therefore it cannot be 124 which is the closest answer.

sorry if this doesn't make sense

ありがとうございました-----tysm :P

Answer:

1200 dollars for interest, she must pay 6200

Step-by-step explanation:

8 percent of 5000 is 400 times 3 (years) is 1200

Answers:

=============================================

Work Shown:

a)

i = P*r*t

i = 5000*0.08*3

i = 1200 is charged in simple interest

---------------------------

b)

She must pay back the amount borrowed ($5000) which is the principal as well as the interest calculated in part a) earlier.

The total amount she must pay back is 5000+1200 = 6200 dollars

The value of x for the given triangle is 4.5

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of all three angles of a triangle is always 180°

In the given triangle ABC,

∠A=(9x+16)°, ∠B=(6x+15)°

And the extrior angle ∠C=(19x+3)°

Use the external angle property,

The sum of two interior angles is equal to an exterior angle.

Therefor,

∠C=∠A+∠B

(19x+3)°=(9x+16)°+(6x+5)°

19x+3=15x+21

4x=18

x=4.5

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ1

Given that the number of angry people=12 and the number of chill peoples=8.

The total number of peoples=The number of angry people + the number of chill people.

The total number of people in juries=12+8=20

Let A be an event that made 12 members of juries consists of 7 chill and 5 angry people.

The probability of A =P(A)

Hence only one 12 member jury pool can be made that consist of 7 chill and 5 angry people.

Hence the answer is 1.

Answer:

\(B)~x=72.5^o, y=107.5^o\)

Step-by-step explanation:

\(x^+x+35=180\\\)

\(2x=180-35\)

\(2x/2=145/2\)

\(x=72.5\)

-----------------

\(y=180-72.5\)

\(y=107.5\)

------------------------

hope it helps....

have a great day!!

The area enclosed by the curve r=2sin(θ) 3sin(9θ) over the interval [0,2π/9] is (243π/64) - (3√3/16).

To find the area enclosed by the curve r=2sin(θ) 3sin(9θ), we first need to determine the limits of integration for θ.

Since the curve is periodic with period 2π/9 (due to the 9 in the second term), we only need to consider the portion of the curve in the interval [0, 2π/9].

Next, we need to convert the polar equation to rectangular coordinates, which can be done using the formulas x = r cos(θ) and y = r sin(θ).

Plugging in the given equation, we get:

x = 2sin(θ) cos(θ) + 3sin(9θ) cos(θ)
y = 2sin(θ) sin(θ) + 3sin(9θ) sin(θ)

Now we can find the area enclosed by the curve by integrating over the given interval:

A = ∫[0,2π/9] (1/2) [x(θ) y'(θ) - y(θ) x'(θ)] dθ

Using the formulas for x and y, we can find the derivatives x'(θ) and y'(θ):

x'(θ) = 2cos(θ) cos(θ) - 2sin(θ) sin(θ) + 27cos(9θ) cos(θ) - 27sin(9θ) sin(θ)
y'(θ) = 2cos(θ) sin(θ) + 2sin(θ) cos(θ) + 27cos(9θ) sin(θ) + 27sin(9θ) cos(θ)

Substituting these expressions into the formula for A and evaluating the integral, we get:

A = (243π/64) - (3√3/16)

Therefore, the area enclosed by the curve r=2sin(θ) 3sin(9θ) over the interval [0,2π/9] is (243π/64) - (3√3/16).

Learn more about area enclosed by polar curves

brainly.com/question/15573662

#SPJ11

The answer would be D.) 29.8 units

Hope this helps have a great day :)

The probability that no students in a survey of five students will be in favor of opening a pub is approximately 0.32768 or 32.768%.

To calculate the probability that no students in a survey of five students will be in favor of opening a pub, we can use the binomial probability formula.

The probability of a single student being in favor of opening a pub is 0.20, and the probability of a single student not being in favor is 1 - 0.20 = 0.80.

Using the binomial probability formula, the probability of having no students in favor can be calculated as:

P(X = 0) = (0.80)^5

P(X = 0) = 0.32768

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

114 roses are not red

Step-by-step explanation:

First, move the decimal two times to the LEFT to multiply the percentage to the number of roses. (50.%)

228x.50

And then multiply 228x.50= 114

Answer: The answer is 226.2 feet.

Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.

UR MOM

Answer:

Step-by-step explanation:

We need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

To prove that 13 divides a number "a" if and only if 13 divides (an - (1-1)") + 4H0, we need to show that both conditions imply each other
First, let's assume that 13 divides "a". This means that "a" can be written as 13k, where k is an integer. We can express this in terms of base 10 as (13k - (1-1)") + 4H0. Simplifying further, we get (13k - 1) + 4H0. Since 13 divides 13k and 13 divides 4H0, it also divides their sum. Therefore, if 13 divides "a", it also divides (an - (1-1)") + 4H0.
Next, let's assume that 13 divides (an - (1-1)") + 4H0. This means that (an - (1-1)") + 4H0 can be written as 13k, where k is an integer. Simplifying the expression, we get an - (1-1)") + 4H0 = 13k. Rearranging, we have an = 13k + (1-1)") + 4H0. Since 13 divides 13k + (1-1)") + 4H0, it also divides their sum. Therefore, if 13 divides (an - (1-1)") + 4H0, it also divides "a".
In conclusion, we have proven that 13 divides "a" if and only if 13 divides (an - (1-1)") + 4H0.
To decide whether 20192018 is divisible by 13, we can apply the result from part (a). Let's express 20192018 as (an - (1-1)") + 4H0. Since 13 divides (an - (1-1)") + 4H0, if 13 divides 20192018, it will also divide (an - (1-1)") + 4H0. Therefore, we need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

To know more about expression visit:

https://brainly.com/question/22468783

#SPJ11

Answer:

right triangle

Step-by-step explanation:

hope that helps!

Total students=1,200

Total number of students whose favorite movie genre is Romance= 10%

So,

10% of total students= 10% of 1,200

Therefore, the Total students who chose romance= 10/100*1200=120

Similarly, 10% of students chose Science fiction, and the total number of students who chose science fiction=10/100*1200=120

Therefore,

Total students who chose romance=120

Total students who chose science fiction=120

The sample mean is X[bar]=$1500

The sample standard deviation is S=$100

The sample size is n=70

The data set has a bell shaped distribution

The empirical rule states that

The values $1400 and $1600 are within one standard deviation away from the mean:

X[bar]+S=$1500+$100=$1600

X[bar]-S=$1500-$100=$1400

Following the rule you can expect 68% of the sample to be between them.

Whats left to do is to calculate the 68% of the sample

Around 47.6 of the farms have values per acre are between $1400 and $1600

Given:

Vince has 1/2 ton of gravel.

It is to be spread equally in 8 square yards.

To find:

How many tons of gravel will be spread in each square yard?

Solution:

Total gravel = 1/2 ton

To be spread equally in 8 square yards.

No. of tons of gravel will be spread in each square yard = (1/2) / 8 = 1/16 tons.

Therefore, 1/16 tons of gravel will be spread in each square yard.

Answer:

Given:

Vince has 1/2 ton of gravel.

It is to be spread equally in 8 square yards.

To find:

How many tons of gravel will be spread in each square yard?

Solution:

Total gravel = 1/2 ton

To be spread equally in 8 square yards.

No. of tons of gravel will be spread in each square yard = (1/2) / 8 = 1/16 tons.

Therefore, 1/16 tons of gravel will be spread in each square yard.

Step-by-step explanation:

Answer:

Step-by-step explanation:Let's solve for c.

x2+10x+c=−3+c

Step 1: Add -c to both sides.

x2+c+10x+−c=c−3+−c

x2+10x=−3

Step 2: Add -x^2 to both sides.

x2+10x+−x2=−3+−x2

10x=−x2−3

Step 3: Add -10x to both sides.

10x+−10x=−x2−3+−10x

0=−x2−10x−3

Step 4: Divide both sides by 0.

0

0

=

−x2−10x−3

0

c=

−x2−10x−3

0

Answer:

c=

−x2−10x−3/0

hope it helps :D

The given differential equation y x²y² = x² is a nonlinear and not separable differential equation, which corresponds to option (D).

A linear differential equation can be written in the form dy/dx + P(x)y = Q(x), where P(x) and Q(x) are functions of x. In this equation, the term x²y² makes it nonlinear.

A separable differential equation can be written in the form g(y)dy = f(x)dx, where g(y) and f(x) are functions of y and x, respectively. However, in the given equation, we cannot separate the variables y and x to obtain such a form.

To solve this particular differential equation, one approach is to rewrite it in a more manageable form. Let's rearrange the terms:

x² = y/(x²y²)

Now, we can multiply both sides by (x²y²) to eliminate the denominator:

x²(x²y²) = y

This equation is still nonlinear but can be used to find a particular solution for y given a specific initial condition.

To know more about nonlinear and separable differential equations, refer here:

https://brainly.com/question/30466149#
#SPJ11

If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

To know more about equilateral triangle

brainly.com/question/3461022

#SPJ4

Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

Answer:

C-7.9

Step-by-step explanation:

Because the square root is actually 7.93

Answer:

C. 7.9

Step-by-step explanation:

Do the square root of 63.

\(\sqrt{63} = 7.93725\)

Your answer isn't perfect, but it's asking for which number is the closest to the \(\sqrt{63}\).

\(\sqrt{63}\) ≈ \(7.9\)

The best fitting line minimizes the sum of the squared errors when using least-square regression.

When trying to find the best fitting line to a set of data points, the goal is to minimize the differences between the observed data and the predicted values on the line.

The least-square regression method achieves this objective by minimizing the sum of the squared errors, which is the sum of the squared vertical distances between each data point and the corresponding point on the line.

By using the least-square regression approach, we can determine the line that provides the best overall fit to the data by minimizing the total squared differences. This method takes into account all the data points and calculates the line that best represents the relationship between the variables of interest.

The least-square regression line is often referred to as the "best fitting" line because it provides the most accurate prediction of the dependent variable based on the independent variable(s). It is widely used in various fields, including statistics, economics, and social sciences, to analyze and model relationships between variables.

Learn more about Least-square regression.

brainly.com/question/30782260

#SPJ11

a. The inequality that describes the situation is 8b - 400 ≤ 600

b. The maximum number of 8 pound boxes that can be taken off the plane is 15.

a. Let's denote the number of 8 pound boxes that need to be taken off the plane as "b". We know that a 600 pound crate will be put on the plane, so the weight added by the crate is 600 pounds. Additionally, we know that no more than 400 pounds can be taken off the plane. Therefore, the inequality that describes the situation is

8b - 400 ≤ 600

Simplifying this inequality, we get:

8b ≤ 1000

b ≤ 125

So the number of 8 pound boxes that can be taken off the plane is less than or equal to 125.

b. To find the exact number of boxes that can be taken off the plane, we can divide both sides of the inequality by 8

b ≤ 125

b/8 ≤ 15.625

Since we need to have a whole number of boxes, the maximum number of boxes that can be taken off the plane is 15.

Learn more about inequality here

brainly.com/question/30231190

#SPJ4

The given question is incomplete, the complete question is:

An airplane is loaded with cargo and ready to take off before it departs an unknown number of 8 pound boxes, b, Will be taken off the plane and a 600 pound crate will be put on to keep the plane in balance, no more than 400 pounds may be taking off the plane. Right and inequality that best describes this situation.

a. I the inequality that describes the situation.

b. How many 8 pound boxes can be taken off the plane?

Let's write and equation for both cases.

In plan 1, it is 500 plus 3% comission. 3% is equivalent to multiply the amount it sale in the week, "x", by 0.03.

So, the equation for plan 1 is:

For plan 2, there is no fixed value, only comission of 5%, which is equivalent of multiplying the weekly sales, "x", by 0.05, so the equation is:

For both plans to result in the same salary, we have:

So, for both plans to result in the same salary, she have to sale 25,000 in a week.

The normal distribution calculation for the area shows the computer center should purchase the new computers to meet the usage needs.

Mean time of computer usage (μ) = 36 minutes

Standard deviation (σ) = 5 minutes

Number of uses recorded each week = 10,000

To determine whether the computer center should purchase new computers,

Calculate the probability of recording more than 2000 uses of longer than 40 minutes at each sitting in a week.

To find the probability, standardize the value of 40 minutes using the z-score formula,

z = (x - μ) / σ

where x is the value we are interested in (40 minutes),

μ is the mean (36 minutes),

and σ is the standard deviation (5 minutes).

Plugging in the values, we get,

z = (40 - 36) / 5

= 4 / 5

= 0.8

Next, find the area under the normal distribution curve to the right of the z-score of 0.8.

This represents the probability of recording computer usage longer than 40 minutes.

Using a standard normal distribution calculator, the area to the right of 0.8 is approximately 0.2119.

To find the number of uses longer than 40 minutes,

multiply this probability by the total number of uses recorded each week,

Number of uses longer than 40 minutes

= 0.2119 × 10,000

≈ 2119

Since the number of uses longer than 40 minutes is approximately 2119, which is greater than 2000.

Therefore, using normal distribution the computer center should purchase the new computers to meet the usage needs.

learn more about normal distribution here

brainly.com/question/14942473

#SPJ4