When a tractor pulls a plow through an agricultural field, the energy needed to pull that plow is called the draft. The draft is affected by environmental conditions such as soil type, terrain, and moisture. A study was conducted to determine whether a newly developed hitch would be able to reduce draft compared to the standard hitch. (A hitch is used to connect the plow to the tractor.) Two large plots of land were used in this study. It was randomly determined which plot was to be plowed using the standard hitch. As the tractor plowed that plot, a measurement device on the tractor automatically recorded the draft at 25 randomly selected points in the plot. After the plot was plowed, the hitch was changed from the standard one to the new one, a process that takes a substantial amount of time. Then the second plot was plowed using the new hitch. Twenty-five measurements of draft were also recorded at randomly selected points in this plot. a. What was the response variable in this study? Identify the treatments. What were the experimental units? b. Given that the goal of the study is to determine whether a newly developed hitch reduces draft compared to the standard hitch, was randomization used properly in this study? Justify your answer. c. Given that the goal of the study is to determine whether a newly developed hitch reduces draft compared to the standard hitch, was replication used properly in this study? Justify your answer. d. Plot of land is a confounding variable in this experiment. Explain why.

Answer:

11

Step-by-step explanation:

when y = 4

x = 3(4) -1

x= 12-1 = 11

Answer:

0.0571 = 5.71% probability that this fund-raising event is a success

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The organizers would call this event a success if the total contributions exceed $4,600

Forty families, so sample mean above 4600/40 = 115.

Mean and a standard deviation of $105 and $40

This means that [tex]\mu = 105, \sigma = 40[/tex]

Sample of 40

This means that [tex]n = 40, s = \frac{40}{\sqrt{40}} = 6.3246[/tex]

What is the probability that this fund-raising event is a success?

Sample mean above 115, which is 1 subtracted by the pvalue of Z when X = 115. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{115 - 105}{6.3246}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a pvalue of 0.9429

1 - 0.9429 = 0.0571

0.0571 = 5.71% probability that this fund-raising event is a success

Answer:

c

Step-by-step explanation:

Answer:

its a reflection over the x-axis

9514 1404 393

Answer:

  A)  B = 37.2°, b = 309.1, c = 382.3

Step-by-step explanation:

You know the third angle must be ...

  B = 180° -131.6° -11.2°

  B = 37.2° . . . . . . eliminates choice D

You know the two missing sides are both longer than 99.3, eliminating choice C.

Since angle C is the largest angle, side c is the longest side, eliminating choice B.

By the process of elimination, we know the correct choice is A.

__

The Law of Sines will tell you the length of side C is related to the other triangle values by ...

  c/sin(C) = a/sin(A)

  c = (99.3 ft)×sin(131.6°)/sin(11.2°)

  c ≈ 382.3 ft . . . . matches choice A

Answer:

t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures

Step-by-step explanation:

Traditional procedure bring as μ  =  8,6 h

Sample Information:

Sample size   n  = 26

Sample mean  x  =  8,4

Sample standard deviation   s  = 1

With  n  = 26  unknown population standard deviation, and population with normal distribution we should use t-student test

then  n = 26      degree of freedom  df  =  n - 1    df  =  25

significance level 0,1  with that information we look in t-student table t (c) ( two tails test)

t(c) = - 1,708

Test Hypothesis

Null hypothesis                  H₀                 x =  μ

Alternative Hypothesis     Hₐ                 x ≠  μ

Alternative hypothesis indicates that the test should considered two tails

To calculate  t(s)

t(s)  =  (  x  -   μ ) / s/√n

t(s)  = ( 8,4  -  8,6 )/ 1/√26

t(s)  = - 0,2 *  5,09 / 1

t(s) =  - 1,019

Comparing |t(s)| and |t(c)|

1,019 < 1,708     |t(s)| <  |t(c)|

t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures

Answer:

Step-by-step explanation:Answer:

1cm = 50

2 cm = 50 x 2

3cm = 50 x 3

and the inverse:50m = 50/50 = 1cm

100m = 100/50 = 2cm

150m = 150/50 = 3cm

381m = 381/

Answer:

56.7 and 123.3

Step-by-step explanation:

delta math

The required value of  ∠J is 56.6° for the given triangle.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.

Here, we are given:

j = 6.3 inches (the length of side JK)

l = 6.1 inches (the length of side KL)

∠L = 54° (the measure of angle L)

We want to find the possible values of ∠J (the measure of angle J).

Using the law of sines, we can write:

j/sin ∠J = l/sin ∠L

Substituting the given values, we get:

6.3/sin ∠J = 6.1/sin 54°

Multiplying both sides by sin ∠J and dividing by 6.1, we get:

sin ∠J = (6.3/6.1) sin 54°

sin ∠J ≈ 0.8354

∠J = sin⁻¹ (0.8354)

∠J = 56.6°

Therefore, the required value of  ∠J is 56.6°.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ3

Answer:

-4m+10

Step-by-step explanation:

Answer:

-4m+10

explanation:

6m-10=-4m

+10

-4m+10

Answer:

I don't know if this is all correct, but I tried

Answer:

2x-7

Step-by-step explanation:

Answer:

$126

Step-by-step explanation:

10-8=2(hours overtime)

1 1/4 × 12 = $15 per hour

2×15=$30

8×12=$96

$96+$30= $126

Answer:

D

Step-by-step explanation:

Answer: (d)

Step-by-step explanation:

Answer:

since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that  there is a linear relation between student task persistence and achievement score, since r  [0.883 ] is greater than critical value for 30 [ 0.361 ]

Step-by-step explanation:

Given the data in the question;

n = 41

r = 0.883

H₀ : population correlation coefficient = 0 ( both are independent )

Hₐ : population correlation coefficient ≠ 0 ( there is a linear relation between student task persistence and achievement score )

critical value for n = 30 is 0.361

that means, for n = 41, critical value will be less than 362

now, since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that  there is a linear relation between student task persistence and achievement score, since r  [0.883 ] is greater than critical value for 30 [ 0.361 ]

Answer:

i think the answer is double in the blank

Answer:

m<1 = 70

m<2 = 110

m<3 = 82

Step-by-step explanation:

<1:

x + 75 + 35 = 180

x + 110 = 180

x = 70

<2:

<1 + x = 180

70 + x = 180

x = 110

<3:

The blank angle is 70 (b/c of 180 - 110) and vertical angles with <1

x + 70 + 28 = 180

x + 98 = 180

x = 82

Answer:

3/8

Step-by-step explanation:

........ur welcome.........

6/8 - 3/8

Answer:

3/8

Step-by-step explanation:

6/8-3/8 =38 your welcome guys;)

9514 1404 393

Answer:

  a, c, d

Step-by-step explanation:

b is NOT equivalent, because the content of parentheses is evaluated first. That makes the expression equal to 2/15, which is not equal to the given expression.

  [tex]\dfrac{2}{(5\times 3}=\dfrac{2}{15}\ne\dfrac{2}{5}\times3=\dfrac{6}{5}[/tex]

__

Expressions (a) and (d) are exactly the same thing, written using different symbols for division. Expression (c) is the equivalent.

Answer:

okay first of all I can't see anything and second of all if you wanna find answer to this the use calculator, multiply the 3 digits of length, width and height

Answer:

Step-by-step explanation:

h = 5 ft

diameter = 2.4 ft

Radius is half of diameter

r = 2.4/2 = 1.2 ft

Now, find the volume of the tank

Volume = πr²h

             = 3.14 * 1.2 *1.2 * 5

             = 22.608 cubic ft

Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute

= 22.608 ÷ 2.3

= 9.8

= 10 minutes

Answer:

Step-by-step explanation:

8

Answer:

we will

turn around and find out

Step-by-step explanation:

Answer:

1. Cellphone screen - plane

2. edge of a wall - line

3. grain of sell - point

4. strand of straight hair - line

5. Tip of a crayon​ -point

Step-by-step explanation:

1. Cellphone screen - It represents a 2 D plane surface. Hence it is a representation of a plane

2. edge of a wall - It is representation of a line

3. grain of sell - It is representation of a point

4. strand of straight hair - It is representation of a line

5. Tip of a crayon​ - It is representation of a point

Answer:

x=7

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

What is your question

Step-by-step explanation:

Answer:

Answer: 50∘ and 130∘

Step-by-step explanation:

deltamath:)

The measures of M are 50.0 and 130 degrees

The given parameters are:

[tex]\mathbf{m = 5.6cm}[/tex]

[tex]\mathbf{o = 4.6cm}[/tex]

[tex]\mathbf{\angle O = 39^o}[/tex]

The measure of angle M is calculated using the following sine formula

[tex]\mathbf{\frac{o}{sin\ O} = \frac{m}{sin\ M}}[/tex]

So, we have:

[tex]\mathbf{\frac{4.6}{sin\ 39} = \frac{5.6}{sin\ M}}[/tex]

Evaluate sin 39

[tex]\mathbf{\frac{4.6}{0.6293} = \frac{5.6}{sin\ M}}[/tex]

Cross multiply

[tex]\mathbf{sin\ M \times 4.6 = 5.6 \times 0.6293}[/tex]

[tex]\mathbf{sin\ M \times 4.6 = 3.5241}[/tex]

Divide both sides by 4.6

[tex]\mathbf{sin\ M = 0.7661}[/tex]

Take arc sin of both sides

[tex]\mathbf{M = sin^{-1}(0.7661)}[/tex]

[tex]\mathbf{M = 50.0}[/tex]

The other possible value of M is:

[tex]\mathbf{M = 180 -50.0}[/tex]

[tex]\mathbf{M = 130.0}[/tex]

Hence, the measures of M are 50.0 and 130 degrees

Read more about sine equations at:

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