An agricultural scientist collected data to study the relationship between the amount of nitrogen added to a cornfield and the number of
bushels of corn produced. This is the regression line of the data, where y is measured in bushels of corn and x is measured in pounds of
nitrogen.
y = 0.43x + 28.5
What is the meaning of the slope of the regression line?
O A. For every 0.43 pounds of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OB. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.
-
OC. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OD. For every 28.5 pounds of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.

Answer:

<3=105°

Step-by-step explanation:

The angle directly to the right of the 75° angle is 105°, as the angles along a straight line add to 180.

<3=105° because they are corresponding angles

Answer:

Solution given:

<3+75=180[co- interior angle]

<3=180°-75°=105°

<3=105°

Answer:

Step-by-step explanation:

we need the arc length formula . it's Arc length = 2πr (θ/360)

Arc length = 2π5 (144/360)

Arc length = 12.56637 cm  

Answer:

(a) 3628800 ways

(b) 17280 ways

(c) 120960 ways

Step-by-step explanation:

Given

[tex]Novels = 5[/tex]

[tex]Maths = 4[/tex]

[tex]Biology = 1[/tex]

[tex]Total = 10[/tex]

Solving (a): Arrangement with no restriction.

We simply count each book with no restriction. i.e. 10 books

So, the number of arrangement is:

[tex]Arrangement =10![/tex]

[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]

[tex]Arrangement =3628800[/tex]

Solving (b): Maths book together and Novels together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, arrange the 5 novels as:

[tex]Novels = 5![/tex]

Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.

So, we have: 3 books

Arrange 3 books, we have:

[tex]Books = 3![/tex]

Total arrangement is:

[tex]Total = 4! * 5! * 3![/tex]

[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]

[tex]Total = 17280[/tex]

Solving (c): Maths book together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)

So, we have: 7 books

Arrange 7 books, we have:

[tex]Books = 7![/tex]

Total arrangement is:

[tex]Total = 4! * 7![/tex]

[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]

[tex]Total = 120960[/tex]

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

Answer:

m∠Q is 56°.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.

In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.

So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.

Therefore, m∠Q is 56°.

Answer:

2,1,0 is the sequence of its terms

Answer:

144cm

Step-by-step explanation:

Just search it up lol

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

             80% of 25 = 5

because 10% of 25 = 2.5

and then       10 x 8 = 80

so                2.5 x 8 = 20

                  25 - 20 = 5

therefore, the percentage change is 80%

GIVE BRAINLIEST

hope this helped,

-cheesetoasty

Answer: [tex]\dfrac{1}{52}[/tex]

Step-by-step explanation:

Given

We need to choose 6 of clubs that's also a red

A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards

Probability is the ratio of favorable to the total outcomes

[tex]\Rightarrow P=\dfrac{1}{52}[/tex]

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

Answer:

12-c

Step-by-step explanation:

This is quite simple

We know grandma has made 96 cookies and IF all children 8 receive equal cookies

They would have 12 cookies each

Cindy got c less cookies

so we can say

12-c is what Cindy got

I guess grandma got hungry

Answer:

Step-by-step explanation:

98 = 8 = 12

cindy cookies = 12-c

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

Answer:

18

Step-by-step explanation:

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

Explanation:

Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.

There are 18 different outfit combos.

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

Further explanation (optional section):

Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.

For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.

Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned                 Number of households

0                                                             20

1                                                              35

2                                                             23

3 or more                                               22

Total ( n )                                               100

so

Null hypothesis           H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of                 O[tex]_i[/tex]            P                E[tex]_i[/tex]            (O[tex]_i[/tex] - E[tex]_i[/tex])²             (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle                                              (n×P)

owned

0                        20         0.087          8.7            127.69                 14.677

1                         35         0.331           33.1            3.61                     0.109

2                        23         0.381           38.1           228.01                 5.985

3 or more          22         0.201          20.1           3.61                      0.180

Total                  100                           100                                        20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

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Answer:

New coordinates of the point Z are (-6, 9)

Step-by-step explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

Learn more about Ratio here:

brainly.com/question/1504221

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Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited  by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

By using the definition of rational numbers, we can get:

Remember that a rational number is a number of the form:

N = a/b

Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.

a) First, we want to find 3 rational numbers between 1/4 and 0.252525...

We can rewrite:

1/4 = 0.25

Then we want to find 3 rationals between 0.25 and 0.2525...

For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...

Another two examples will be 0.2502 and 0.2503

b) Now we have 1/3 = 0.333... and 0.3434...

3 rational numbers between these two are:

0.333... < 0.334 < 0.3434...

0.333... < 0.335 < 0.3434...

0.333... < 0.336 < 0.3434...

If you want to learn more about rational numbers, you can read:

https://brainly.com/question/12088221

Q) What percentage of sudents who passed the test completed the review sheet

A)

19/27*100

=70.37%

Nearest 10th of a percent

=70%

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you