Answer:The last experimental design is the best of the options: 'Compare the average number of
tomatoes that are produced by 10 tomato plants that are grown in clay soil to
the average number of tomatoes that are produced by 10 tomato plants that are
grown in sandy soil''.
The first two experimental designs measure the growth of
tomato plants, which is not necessarily related to the yield of tomatoes. The
third experimental design compares the tomato yield of the two
soils with only one plant grown in each soil. Obviously, the result obtained
from this experiment would be statistically weak. The last experimental design
compares tomato yield and also uses a larger number of plants in each soil
type, so the results obtained would be of slightly greater statistical
significance.
Step-by-step explanation:
The mean absolute deviation is M = 2.2
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the total number of plants be n
Now , the value of n = 10
And , the number of tomatoes on each plant is given by set A
Now , the value of set A = { 5 , 5 , 5 , 6 , 9 , 10 , 10 , 10 , 10 , 10 }
So , the total number of tomatoes = 5 + 5 + 5 + 6 + 9 + 10 + 10 + 10 + 10 + 10
The total number of tomatoes = 80 tomatoes
Now , the mean number of tomatoes = 80 / 10 = 8
And , the mean deviation is M
where M = 1/10 [ ( 8 - 5 ) + ( 8 - 5 ) + ( 8 - 5 ) + ( 8 - 6 ) + | ( 8 - 9 ) | + 5( 10 - 8 )
M = ( 1/10 ) [ 3 + 3 + 3 + 2 + 1 + 5 ( 2 ) ]
M = ( 1/10 ) [ 22 ]
M = 2.2
Therefore , the value of M is 2.2
Hence , the mean deviation is 2.2
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Solve the variable of x+9=37
Also, n-5=9
x + 9 = 37
To solve for x bring 9 to the right side by subtracting 9 to both sides (what you do on one side you must do to the other). Since 9 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.
x + 9 - 9 = 37 - 9
x + 0 = 28
x = 28
Check:
28 + 9 = 37
37 = 37
n - 5 = 9
To solve for n you must add 5 to both sides (what you do on one side you must do to the other). Since 5 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.
n - 5 + 5 = 9 + 5
n + 0 = 14
n = 14
Check:
14 - 5 = 9
9 = 9
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x=28
n=14
Step-by-step explanation:
x+9=37
Subtract 9 from each side
x+9-9 = 37-9
x = 28
n-5=9
Add 5 to each side
n-5+5 =9+5
n = 14
Find the common difference of the sequence shown.
1/2, 1/4 , 0, ...
Answer:
-1/4
Step-by-step explanation:
Given sequence is:
1/2, 1/4 , 0, ...
In order to find the common difference in the terms of a sequence, the preceding term is subtracted from the next term.
For example in the given sequence:
first term will be subtracted from second term and second term will be subtracted from third term
So,
[tex]\frac{1}{4}-\frac{1}{2} \\=\frac{1-2}{4}\\ =-\frac{1}{4}\\ Similarly,\\=0-\frac{1}{4} \\=-\frac{1}{4}[/tex]
The common difference is - 1/4 ..
Answer:
-1/4
Step-by-step explanation:
Given the system of inequalities below: -3x - y < 12 2x + 3y ≥ 9 Give the coordinates of three points that are members of the solution set. () () () (-3, 7) (-3, -7) (3,-7) (-4,-0) (0,-4) (0,4) (2,3) (-2,3) (2,-3)
Answer:
The coordinates of the points that are members of the solution set
(-3,7), (0,4) and (2,3)
Step-by-step explanation:
we have
[tex]-3x-y< 12[/tex] ----> inequality A
The solution of the inequality A is the shaded area above the dashed line
[tex]2x+3y\geq 9[/tex] ----> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that,
If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution
Plot the points
(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)
therefore
The coordinates of the points that are members of the solution set
(-3,7), (0,4) and (2,3)
Answer:Answer:
The coordinates of the points that are members of the solution set
(-3,7), (0,4) and (2,3)
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dashed line
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that,
If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution
Plot the points
(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)
therefore
The coordinates of the points that are members of the solution set
(-3,7), (0,4) and (2,3)
Step-by-step explanation:
Each angle measure of a regular polygon is 60°. What is the polygon?
Answer:
Triangle
Step-by-step explanation:
A regular polygon of n sides has interior angles of:
a = 180 (n-2) / n
Given a = 60:
60 = 180 (n-2) / n
n = 3 (n-2)
n = 3n - 6
6 = 2n
n = 3
The polygon has three sides, so it's a triangle.
A regular polygon with each angle measuring 60° is an equilateral triangle.
A regular polygon is a polygon with all sides and angles equal. To find the type of polygon where each angle measures 60°, we use the formula for the measure of each interior angle of a regular polygon, which is (n-2) x 180° / n, where n is the number of sides.
Let's solve for n:
Set the angle measure formula to 60°: (n-2) x 180° / n = 60°
Multiply both sides by n to clear the fraction: (n-2) x 180° = 60n
Distribute 180°: 180n - 360° = 60n
Move the terms involving n to one side: 180n - 60n = 360°
Simplify: 120n = 360°
Divide both sides by 120: n = 3
Therefore, a regular polygon with each angle measuring 60° is an equilateral triangle.
Given that g(x)=x2 - 2x - 7. find (g 0 g)(-3)
(g 0 g)(-3) =
(Simplify your answer.)
Answer:
41
Step-by-step explanation:
Substitute x = 3 into g(x) then substitute the value obtained into g(x)
g(- 3) = (- 3)² - 2(- 3) - 7 = 9 + 6 - 7 = 8
g(8) = 8² - 2(8) - 7 = 64 - 16 - 7 = 41
Solve the system of equations
x + 3y = −1
2x + 2y = 6
Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch. How many liters of orange juice did Fabian use to make the punch?
A. 9 L
B. 11 L
C. 13 L
D. 15 L
Answer:
Option B
Amount of orange juice did Fabian use to make the punch is 11 liter.
Step-by-step explanation:
Given : Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch.
To find : How many liters of orange juice did Fabian use to make the punch?
Solution :
Let x be the amount of orange juice.
There are 4 cans of pineapple juice.
Each can of pineapple juice holds 2 liters.
So, 4 cans can hold [tex]4\times 2=8[/tex] liter of pineapple juice.
Together they make x+8 liter.
He makes a total of 19 liters of punch.
i.e. [tex]x+8=19[/tex]
[tex]x=19-8[/tex]
[tex]x=11[/tex]
Therefore, Amount of orange juice did Fabian use to make the punch is 11 liter.
So, Option B is correct.
Shown below is a right angle triangle. Find the exact length of the side labeled y.
Answer:
sine 30=y/(8+10√2)
(8+10√2)sin 30=y
Check the picture below.
Answer please. If you answer, you get 44 points. I don't use the points here. So answer please. I want full work.
Answer: you simplfy the two equations already there then plug them in to find factors
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
These are called vertical angles. Vertical angles are equal.
145 = 2x + 15
130 = 2x
x = 65
If (17, 4) is an ordered pair of the inverse of F(x), which of the following is an
ordered pair of the function F(x)?
A. (17,4)
B. (4.17)
C. (4,0)
D. 0,17)
Answer:
B
Step-by-step explanation:
Given a point (x, y) on f(x) then the corresponding point on the inverse is (y, x)
Given (17, 4 ) is a point on the inverse then the corresponding point on f(x) is
(4, 17 ) → B
Please help as soon as possible
Answer:
I believe it takes : 3 jumps of 1/5 to reach 15.
Step-by-step explanation:
Hope my answer has helped you!
24 people go to joe's birthday party.half walk and a quarter travel by bus all the others go by taxi. How many guests walk? How many travel by bus? How many use taxis? What fraction use taxis? What fraction don't use taxis?
Answer:
How many guests walk? 12How many travel by bus? 8How many use taxis?4What fraction use taxis? [tex]\frac{1}{6}[/tex]What fraction don't use taxis?[tex]\frac{5}{6}[/tex]Step-by-step explanation:
Number of people that attended the party= 24.....let this be x
Number of people that walked= 1/2 x
[tex]=\frac{1}{2} *24 =12[/tex]
Number of people that travel by bus= 1/4 x
[tex]=\frac{1}{4} *24= 8[/tex]
Number of people that go by taxi= the rest
[tex]=24-(12+8)=24-20=4[/tex]
The fraction that used taxis= those that used tax/total number of people
Those that used taxi=4
Total number of people=24
Fraction = [tex]\frac{4}{24} =\frac{1}{6}[/tex]
Fraction that did not use taxi = whole-fraction that used taxi
[tex]\frac{6}{6} -\frac{1}{6} =\frac{5}{6}[/tex]
Simplify 2(x + 4) + 7(x – 5) + 3. if anyone could help with this I would really appreciate it.
Answer:
9x-24
Step-by-step explanation:
We first expand the expression, this means that we multiply 2 and (x+4)
and 7 and (x-5). This means our expression will be:
2x+8+7x-35+3
Now we collect like terms:
2x+7x+8-35+3
Which will give us:
9x-24
What are the solutions of x2=-7x-8
Answer:
x^2 = -7x -8
x^2 +7x +8 = 0
D = 49 -32 = 17
x_1,2 = (-7+/-sqrt17)/2 = (-7-sqrt17)/2 and (-7+sqrt17)/2
Step-by-step explanation:
Answer:
x = [tex]\frac{1}{2}[/tex] (-7±√17)
Step-by-step explanation:
x² = -7x - 8
x² + 7x + 8 = 0
Using the quadratic formula, with a=1, b = 7 and c=8,
you will get x = [tex]\frac{1}{2}[/tex] (-7±√17)
Write a function for reflection of point x,y across the y axis
Answer:
Reflection of point 0(x, y) about y-axis = (-x, y)
Step-by-step explanation:
Following are the rules for a counter clockwise rotation of 90 degrees about the origin for a point O(x,y):
1. Invert the sign of the value of x.
2. The value of y-coordinate remains the same.
For example, a point M(h,k) after reflection gives a point M'(-h,k) using the rules given above. The points on the x-y plane are shown in the image attached.
Indicate the equation of the given line in standard form. The line containing the longer diagonal of a quadrilateral whose vertices are A (2, 2), B(-2, -2), C(1, -1), and D(6, 4).
Answer:
3x-4y=2
Step-by-step explanation:
step 1
Plot the figure
we have
A (2, 2), B(-2, -2), C(1, -1), and D(6, 4)
using a graphing tool
The longer diagonal is BD
see the attached figure
step 2
Find the slope of the diagonal BD
we have
B(-2, -2) and D(6, 4)
m=(4+2)/(6+2)
m=3/4
step 3
Find the equation of the diagonal BD into point slope form
y-y1=m(x-x1)
we have
m=3/4
D(6,4)
substitute
y-4=(3/4)(x-6)
step 4
Convert the equation in standard form
The equation of the line in standard form is equal to
Ax+By=C
y-4=(3/4)(x-6)
y=(3/4)x-(18/4)+4
Multiply by 4 both sides
4y=3x-18+16
3x-4y=18-16
3x-4y=2 -----> equation of the diagonal in standard form
Which number line represents the solution set for the inequality -4(x + 3) 5-2-2x?
O
+
-7
+
-6
+
-4
-5
-3
-2
-1
0
1
2
3
4
5
6
7
-7
+
-6
+
-5
+
-4
+
-3
+
-2
+
-1
+
0
+
1
+
2
+
3
+
4
5
6
7
-7 -6 -5 -4 -3 -2 -1 0
1 2 3 4 5 6
7
+
+
+
+
+
-7
-6
-5
-4
+ +
-3 -2
+
-1
0
1
2
3
4
5
6
7
Answer:
A
Step-by-step explanation:
Consider the smaller than sign as smaller or equal to sign as I couldn,t type the sign
-4(x+3)<-2-2x
Expand the bracket
-4x-12<-2-2x
Add 2x to both sides
-2x-12<-2
Add 12 to both sides
-2x<10
add 2x to both sides
0<10+2x
minus 10 on both sides
-10<2x
SImplify
-5<x
X is larger or equal to -5 which means the option A
Lisa dined at a restaurant and gave the waiter a 15% tip if the price of her meal was $10.25 how much did Lisa tip the waiter
Multiply the price of her meal by the percentage of the tip.
15% = 0.15
Tip = 10.25 x 0.15 = 1.54
The tip was $1.54
Answer: $1.54
Step-by-step explanation:
15% of 10.25= 1.54
Which of these statements describe properties of parallelograms? Check
that apply.
Answer:
A, B, C and D.
Step-by-step explanation:
Opposite sides are congruent (B) as well as the 3 that are marked.
Answer:
Options A, B, C and D are correct choices.
Step-by-step explanation:
We are asked to choose the properties of parallelograms from our given choices.
By the definition of parallelogram:
The opposite sides of a parallelogram are parallel and congruent.The two consecutive angles of parallelogram are supplementary.Opposite angles of parallelogram are congruent.Diagonals of parallelogram bisect each other.Upon looking at our given choices, we can see that options A, B, C and D are correct choices.
Help!
Which of these is the best deal? [Note: there are two pints in a quart, and four quarts in a gallon]
Question 6 options:
A)
one quart of milk for $1
B)
1 gallon of milk for $2
C)
two quarts of milk for $1.50
D)
One pint of milk for 50 cents
The best deal is Option B, one gallon of milk for $2, after comparing the cost per gallon of each option using the conversion factors for pints, quarts, and gallons.
Explanation:To determine which option is the best deal, we need to compare the price per gallon of milk for each option. We have been given that there are two pints in a quart, and four quarts in a gallon. Using this information, let's compare:
Option A: One quart of milk for $1. Since one quart is one fourth of a gallon, the cost per gallon would be 4 times $1, which is $4 per gallon.Option B: One gallon of milk for $2. This is already in gallons, so the cost per gallon is $2.Option C: Two quarts of milk for $1.50. Two quarts make up half a gallon, so to find the cost per gallon, we double $1.50, which results in $3 per gallon.Option D: One pint of milk for 50 cents. Since there are 8 pints in a gallon, the cost per gallon would be 8 times 50 cents, or $4 per gallon.Comparatively, Option B provides the lowest cost per gallon of milk, making it the best deal.
What is the length of side BC
Answer: 16.8
Step-by-step explanation:
Find BC:
[tex]tan\theta=\dfrac{opposite}{adjacent}\\\\\\tan(40^o)=\dfrac{BC}{20}\\\\\\20\ tan(40^o)=BC\\\\\\16.78=BC[/tex]
Solve the inequality 4x-12<16+8x?
Answer:
[tex]\large\boxed{x>-7\to\{x\ |\ x>-7\}}[/tex]
Step-by-step explanation:
[tex]4x-12<16+8x\qquad\text{add 12 to both sides}\\\\4x-12+12<16+12+8x\\\\4x<28+8x\qquad\text{subtract 8x from both sides}\\\\4x-8x<28+8x-8x\\\\-4x<28\qquad\text{change the signs}\\\\4x>-28\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}>-\dfrac{28}{4}\\\\x>-7[/tex]
Which equation represents the graphed function?
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0+3}{2-0}[/tex] = [tex]\frac{3}{2}[/tex]
note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = [tex]\frac{3}{2}[/tex] x - 3 → C
Which graph represents an inverse variation
Answer:
The second graph.
Step-by-step explanation:
In inverse variation, an increase in one variable leads to a decrease in the other value in the relationship.
xα1/y
x=k/y
meaning
xy= constant
Such a graph slants with a negative gradient from left to right of the Cartesian plane. (the second graph).
Answer:
it's B
Step-by-step explanation:
100 Points! Please answer!?
Answer:
$765.85
Step-by-step explanation:
The furniture store bought it for $425 (the starting price). They mark it up by 70%.
To solve, multiply 425 with 70%, and then add the number you get to the original price:
425 x 0.70 = 297.5
297.5 + 425 = 722.5
Now, multiply the price gotten by 6%:
722.5 x 0.06 = 43.35
Add the tax amount to the total amount:
43.35 + 722.5 = 765.85
$765.85 is the amount paid by Angela.
~
Answer:
765.85
Step-by-step explanation:
To find the new price, find the mark up
mark up = 425 * 70%
425 *.7
297.5
Add this to the original price to find the new price
425 + 297.5
722.50
Now we need to find the tax
722.5 * 6%
722.5 *.06
43.35
Add this to the sale price
722.5 +43.35
765.85
Which graphs show a proportional relationship?
Graph 1
Graph 2
Answer:
neither one
Step-by-step explanation:
a pair of boots are advertised at 40% off. if the original price is $120. what is the sale price of the boots?
Your question asks to find the sales price of the boots.
Answer: $72In order to solve your question, we're going to need to find the sales price of the boots.
Lets gather some important information from the question.
Important information:
Original price is $120
40% off
With the information above, we can find the sales price.
Since we know that the original price of the boots is $120, and the boots are 40% off, we're going to need to find how much of 120 is 40% and then subtract it to get our sales price.
[tex]120*.40=48\\\\120-48=72[/tex]
Once you're done solving, you should get 72.
This means that the sales price of the boots is $72.
$72 should be your FINAL answer.
I hope this helps!Best regards, MasterInvestorAnswer: $72
Step-by-step explanation:
10% of $120 = $12 so
40% is $48, subtracted from $120 = $72
QUICK!!
The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?
A. x=-3
B. x=1
C. x=5
D. x=-15
Answer:
B. x=1
Step-by-step explanation:
Let us define axis of symmetry first.
The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.
We have x-intercepts of -3 and 5
In ordered to find the axis of symmetry we have to find their middle intercept
To find the axis of symmetry:
[tex]= \frac{-3+5}{2}\\=\frac{2}{2}\\ =1[/tex]
So the axis of symmetry is x = 1 ..
Answer:
B x=1
Step-by-step explanation:
edge 2020 2021
negative 55 plus neagtive 7 times 6 subtract negative 3 times 4
Answer:
25.
Step-by-step explanation:
-55 + -7 x 6 - -3 x 4
Answer: -55 + -7 x - 3 x 4 =1,404
The triangles shown below may not be congruent.
let's take a peek at the triangles.
they have a 30° angle and a 80° each, and a side that is not in between in common.
[A]ngle [A]ngle [S]ide, AAS congruence.
Answer:
Option B, False.
Step-by-step explanation:
In the given figure two triangles have been given. In these triangles two angles and corresponding side has been given as equal in measure.
Therefore, by AAS theorem for congruence, the given triangles are congruent.
The given statement that the triangle shown may not be congruent is False.
Option B is the answer.