12 is the marginal cost at the production level of 1000 units.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The marginal cost represents the additional cost if 1 more unit is produced. So, we can find the marginal cost by computing C(1,001) and subtracting (1,000)
First, let's evaluate the cost at both x= 1,001 and x=1,000
C(1000)=0.002(1000)^2+8(1000)+6000
=0.002(1000000)+8000+6000
=2000+8000+6000
=16000
C(1001)=0.002(1001)^2+8(1001)+6000
=2004.002+8008+6000
=16012
The difference between these costs is $12.002. Rounding to the nearest cent, we find a marginal cost of $12 per unit. Let's see if we get a similar result from the derivative.
Hence 12 is the marginal cost at the production level of 1000 units.
To learn more on Differentiation click:
https://brainly.com/question/24898810
#SPJ2
How many positive three-digit numbers are divisible by 4 but do not contain the digit 9?
Answer:
Step-by-step explanation:
Comment
How many 3 digit numbers are divisible by 4, but do not contain the digit nine?
If you know a computer language, then the main line would be
for x = 100 to 999 do
I really need this answered please
For the first problem you need to find the measures for 1 and 2.
The other 2 problems you need to find the values of each variable
Answer:
1) 1 = 120 degrees and 2 = 60 degrees
2) x = 25
3) p = 32
Step-by-step explanation:
1) Angle 1 is 120 degrees, since it is congruent to the corresponding angle below it (because lines a and b are parallel) Angles 1 and 2 are supplementary, meaning they add up to 180, so to find angle 2 we do 180 - 120 to get 60. Angle 1 = 120 degrees and angle 2 = 60 degrees.
I did 2 and 3 on paper, let me know if anything is confusing :))
2) the two lines are parallel, so we know those two angles are congruent since they're corresponding. If they're congruent we can just set them equal to each other to find x. x = 25.
3) the little square mark means a right angle, which is 90 degrees. The two lines are parallel, so we know that the angle below is corresponding and congruent to 90 degrees. So to find p, set 3p - 6 equal to 90. p = 32.
if anythings confusing let me know :-)
Pls help will give crown lumber yard problem fyi
The function for the arithmetic sequence (fn) = 8n
The domain is {1,2,3,…10}
An arithmetic sequence is a series of numbers in which each term (save the first) is obtained by adding a constant number to the preceding term. For example, 2, 4, 6, 8,... is an arithmetic sequence because each term is created by adding 2 (a constant integer) to the previous term.
Given that
The arithmetic sequence is 8, 16, 24, 32, 40, 48, 56
Common difference = 16-8 = 8
The sequence is increasing so the common difference is positive 8
fn = 8 + (n-1)d
fn = 8 + (n-1)8
fn = 8 + 8n – 8
fn = 8n
So the function for the arithmetic sequence (fn) = 8n
b. The points to the graph are represented by (nfn). So the points are (1,8);(2,16);(3,24);(4,32);(5,40);(6,48);(7,56)
The domain of the function is the number 10
So, the domain is {1,2,3,…10}
To learn more about arithmetic sequences visit
https://brainly.com/question/6911789
#SPJ1
A cylindrical tin with one end open has diameter 140 mm and height 50mm . Calculate the area of the base and curved surface area [ Take π = 22/7]
The area of the base and curved surface area is 15400mm² and 22000 mm² respectively, of the cylindrical surface.
What is the cylindrical surface?
The amount of space that is covered by the curved surface and flat surface of a cylinder's bases is known as the cylinder's surface area. In addition to the area of the curved surface, the cylinder's total surface area also comprises the areas of its two circular bases. Units of surface area are stated as squares, such as square millimeters, square inches, square feet, and so on. Two circular bases joined by a curving face form a 3-D solid object known as a cylinder.
The curved surface area of a cylinder is 2πrh
A = 2 * 22/7*140/2*50
A = 22000 mm²
The base are will be π r²
B= 22/7 * 140/2*140/2
B= 15400mm²
Hence the area of the base and curved surface area is 15400mm² and 22000 mm² respectively.
Learn more about cylindrical surface, by the following link.
https://brainly.com/question/20720526
#SPJ1
Divide 180 kg in the ratio 1:2:3:4
Step-by-step explanation:
1+2+3+4+5=15
180÷15=12
12x1=12
12x2=24
12x3=36
12x4=48
12x5=60
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables. For how many guests will the cost of Caterer A be the same as the cost of Caterer B? What is that cost?
Two intersecting lines graphed on a coordinate plane showing number of guests on the X-axis and cost in dollars on the y-axis. The lines intersect at the point, 10, 250.
Using equivalent equations to equate both caterer A and B need to serve 10 guests to have equal pay
Equivalent EquationEquivalent equations are systems of equations that have the same solutions. Equations are said to be equivalent when they have the same solution set. For example, x + 2 = 6 and 2x = 8 are equivalent equations, because when we solve each of them as follows, they have the same solution set: x + 2 = 6. Subtract 2 from both sides. x = 4.
In this case, we can set up two equations and equate them to know how many people they need to serve in order to earn equally.
For caterer A;
y = 15x + 100 ...eq(i)
y = 20x + 50 ...eq(ii)
For the equation to be equivalent, equation(i) and (ii) must be equal
15x + 100 = 20x + 50
x = 10
They both need to serve 10 guests to earn equally.
Learn more on equivalent equations here;
https://brainly.com/question/2972832
#SPJ1
The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?
Answer:
[tex] \huge{ \boxed{ \bold{g = - 2}}}[/tex]
Step-by-step explanation:
In order to find g we have to use the formula for finding the slope of the line passing through two points that's
[tex]m = \frac{y_2 -y_ 1}{x_2 -x_1 } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are (g, -1) and (2, 5) and m = 3/2
We substitute it into the equation and find g
That's
[tex] \frac{3}{2} = \frac{5 - - 1}{2 - g} \\ \frac{3}{2} = \frac{5 + 1}{2 - g } \: \: \: \: \: \: \: \frac{3}{2} = \frac{6}{2 - g} \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ \frac{ - 3g}{ - 3} = \frac{6}{ - 3} \\ \\ g = - 2[/tex]
We have the final answer as
g = - 2Hope this helps you
Calculate the amount of paint needed to paint the front of this building knowing that 0.5 kg of paint is needed per m^2
The amount of paint needed to paint the front of the building knowing that 0.5 kg of paint is needed per m^2 is 20 kg.
We know that,
Area of rectangle = L * W
where L = Length of the rectangle
and W = Width of the rectangle.
Area of triangle = 1/2 * B * H
where B = Base of the triangle
and H = Height of the triangle.
From the figure, we are given;
The front of the building has two rectangles that represent the floor and one triangle.
The rectangles are of the same size and it's given;
L = 8 m
W = 4 m
Area of rectangle = L * W = 8 * 4 = 32 m^2
The dimension of the triangle is:
B = 8 m
H = 2 m
Area of triangle = 1/2 * B * H = 1/2 * 8 * 2 = 8 m^2
The total area of the front of the building = 32 + 8 = 40 m^2
Amount of paint required
= total area of the front of the building * paint is needed per m^2
= 40 * 0.5 = 20 kg
So, 20 kg of paint is needed.
Thus, the amount of paint needed to paint the front of the building knowing that 0.5 kg of paint is needed per m^2 is 20 kg.
To learn more about rectangle visit:
https://brainly.com/question/27722891
#SPJ1
CORE
SKILL
If (8x) ≥ 2, which of the following inequalities must be true?
(A) x ≤ 1
(B) x ≤-1 or x ≥1
(C)-1≤x≤1
(D) x ≤-1 or x ≥ 0
(E)-1≤x≤2
4
Using the given inequality we can calculate that this is equivalent to
(B) x ≤-1 or x ≥1
The given inequality is |8x| ≥ 2 .
Now we have to solve this inequality to find the range of the value of x.
|8x| ≥ 2
now we will try to remove the modulus function.
either 8x ≥ 2 ⇒ x ≥ 1/4
or, -8x ≥ 2 ⇒ x ≤ -1/4
Therefore the solution of the inequality is x ≤ -1/4 or x ≥ 1/4
Now of the given options the most plausible option or inequality that also satisfies this inequality is given by B) x ≤-1 or x ≥1
In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On the number line, size comparisons between two numbers are typically conducted.
To learn more about inequality visit:
https://brainly.com/question/17557685
#SPJ1
3. Gwen and Julia are saving money to go to an amusement park. After looking at all the costs, they determine
they need at least $250 to go on the trip. Gwen walks dogs and Julia waters flowers to raise the money.
Gwen charges $3.50 each time she walks a dog. Julia charges $1.25 each time she waters the flowers. The
number of times Julia plans to water the flowers is no more than six times the number of dogs Gwen plans to
walk. Gwen plans to walk no less than 12 dogs.
Write a set of constraints to model the problem, with d representing the number of dogs walked and f
representing the number of times flowers were watered. You should write a total of 3 constraints.
The system of inequalities that models this situation is given as follows:
3.5x + 1.25y ≥ 250.y ≤ 6x.x ≥ 12.What is the system of inequalities?The variables of the system of inequalities are presented as follows:
Variable x: number of dogs walked by Gwen.Variable y: number of flowers watered by Julia.Gwen charges $3.50 each time she walks a dog. Julia charges $1.25 each time she waters the flowers, and they need to raise at least $250, hence the first constraint is of:
3.5x + 1.25y ≥ 250.
The number of times Julia plans to water the flowers is no more than six times the number of dogs Gwen plans to walk, hence:
y ≤ 6x.
Gwen plans to walk no less than 12 dogs, hence:
x ≥ 12.
More can be learned about a system of inequalities at https://brainly.com/question/9774970
#SPJ1
Lorenzo uses 2 1/2 cups of vinegar in his salad dressing recipe. How much vinegar would Lorenzo use to make 4 2/5 recipes?
11 cups of vinegar would Lorenzo use to make [tex]4\frac{2}{5}[/tex] recipes.
Given that, Lorenzo uses [tex]2\frac{1}{2}[/tex] cups of vinegar in his salad dressing recipe.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Lorenzo use to make [tex]4\frac{2}{5}[/tex] recipes
Here, [tex]2\frac{1}{2}=\frac{5}{2}[/tex] and [tex]4\frac{2}{5}=\frac{22}{5}[/tex]
Now, 5/2 × 22/5
= 11
Hence, 11 cups of vinegar would Lorenzo use to make [tex]4\frac{2}{5}[/tex] recipes.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ1
I have n nickels, d dimes and q quarters. In total i have 18 coins. I have twice as many nickels as dimes. Express n times d times q in terms of the number of nickels.
The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
In the question ,
it is given that ,
there are n nickels , d dimes , q quarters .
Also given that there is twice as many nickels as dimes ,
that means , n = 2d
So , d = n/2
also that total number of coins = 18 ,
So , n + d + q = 18
n + n/2 + q = 18
q = 18 - 3n/2
we need to find , n times d times q in terms of the number of nickels.
that means
= n × d × q
= n × n/2 × 18 - 3n/2
= n × n/2 × (36 - 3n)/2
= (n × n×(36 - 3n))/2×2
= n²(36-3n)/4
Therefore , The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
Learn more about Expression here
https://brainly.com/question/22826024
#SPJ4
Shelia it’s going to divide 836 inch piece of ribbon into five equal pieces. She says each piece will be 7 inch long. What is her mistake
Answer: Her mistake is that she would have to make each piece 167.2 inches long to have 5 equal pieces.
Step-by-step explanation:
7 * 5 ≠ 836
836/5 = 167.2
What is the answer to this question
Answer:
m1 = 33 degrees ; m3 = 33 degrees
Step-by-step explanation:
m8 = m4 = 147 degrees
m4 + m1 = 180
147 + m1 = 180
m1 = 180 - 147
m1 = 33 degrees
m1 = m3 (vertical angles)
3/5 of 45 step by step
Answer:
27
Step-by-step explanation:
45/5=9
9*3=27
Answer: 27
Step-by-step explanation:
45/5=9
9x3=27
79/15 en decimal???????????
Answer:
5.267
Step-by-step explanation:
Let's do long division to figure this out.
Answer: 5.26666666667
Step-by-step explanation:
If your asking for the decimal answer, than it is 5.26666666667, or you can round it to 5.3. :)
Factor
50t^2-20t-30=??
The answer is 10(t-1) (5t+3).
An algebraic equation of the second degree in x is a quadratic equation. Typically, a quadratic equation is expressed in standard form as,[tex]ax^2 + bx + c = 0[/tex].
And the factor is a number or algebraic expression that divides another number evenly without leaving any remainder.
To factor the given quadratic equation, first, take the common factor of the equation. Therefore,
[tex]50t^2-20t-30=10(5t^2-2t-3)[/tex]
Using the sum-product pattern, we can write 2t as 3t-5t. Therefore,
[tex]50t^2-20t-30=10(5t^2+3t-5t-3)[/tex]
Now, find the common factor between the pairs within the bracket. We get,
[tex]50t^2-20t-30=10(t(5t+3)-1(5t+3))[/tex]
Finally, rewriting the above terms by factoring out the greatest common factor, we get,
[tex]50t^2-20t-30=10(t-1)(5t+3)[/tex]
To know more about factoring quadratic equations:
https://brainly.com/question/1863222
Answer: 10 (5t+3) (t-1)
Step-by-step explanation:
Given, 50t²-20t-30
Here we take 10 as the common factor:
⇒ 10(5t²-2t-3)
Then, we use the sum-product pattern to divide the 2t into two parts:
⇒ 10(5t²-5t+3t-3)
Taking the common factor from the two pairs, we get:
⇒ 10 [5t(t-1) + 3(t-1)]
⇒ 10 (5t+3) (t-1)
Learn more about factors:
https://brainly.com/question/13114757
https://brainly.com/question/15412239
A block of wood is 0. 4 m by 0. 2 m by 0. 7 m. Find its dimensions in centimeters. Then find its volume in cubic centimeters.
The dimension of the wood block in centimeter is 40cm by 20cm by 70cm , the volume is 56000 cubic centimeters .
In the question ,
it is given that ,
the dimension of the block of wood is 0.4m by 0.2m by 0.7m ,
that means
the length of the wood block = 0.4 m
we know that 1 m = 100 cm , So 0.4 m = 40 cm
0.2 m = 20 cm
and
0.7 m = 70 cm
So , the length of the wood block = 40 cm
the width of the wood block = 20 cm
the height of the wood block = 70 cm
The Volume of the wooden block = length × width × height
Substituting the values , we get
Volume = 40 × 20 × 70
= 56000 cm³
Therefore , The dimension of the wood block in centimeter is 40cm by 20cm by 70cm , the volume is 56000 cubic centimeters .
Learn more about Volume here
https://brainly.com/question/191151
#SPJ4
Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. Which ball rolled at a greater rate of speed?
Question 3 options:
A: white ball
B: green ball
C: The white and green ball rolled at the same rate of speed.
D: red ball
If Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. The ball that rolled at a greater is: B: green ball.
How to find the speed?Using this formula to find the fastest speed
White ball :
Speed for white ball = 143 centimeters /4 seconds
Speed for white ball = 34.75
Green ball:
Speed for green ball = 112 centimeters /3 seconds
Speed for green ball= 37.33
37.33 ≥ 34.75 which means that green ball is the fastest.
Therefore the correct option is B.
Learn more about speed here:brainly.com/question/14935741
#SPJ1
The sum of four consecutive odd integers is 5 less than 3 times the second number. What are the numbers?
Answer:
Four consecutive odd integers are: 2n+1, 2n+3, 2n+5 and 2n+7
Three times the sum of the first and fourth then are 3(2n+1 + 2n+7)
80 less than 4 times the sum of the second and third then are 4(2n+3 + 2n+5) - 80
Since the two are equal:
3(2n+1 + 2n+7) = 4(2n+3 + 2n+5)-80
expanding the brackets:
6n+3 + 6n + 21 = 8n + 12 + 8n + 20 - 80
combining like terms
3 + 21 - 12 -20 + 80 = 8n + 8n - 6n - 6n
72 = 4n
Step-by-step explanation:
which is greater? 0.056 or 0.546?
Answer:
0.546 is greater than 0.056
The equation for the cost of producing truck tires is C = 0. 002x² -3. 2x+1325, where x is the
number of tires produced. Find the number of tires that minimizes the cost. What is the cost for
that number of tires?
The number of tires that minimizes the cost is 800., And the cost for that number of tires is, $45.
What is parabola?
When the value of an is less than 0, a 0, the parabola's graph is downward (or opens down). When the value of an is more than zero, a > 0, the parabola's graph is upward (or expands). As a result, the direction of the parabola depends on the sign of the coefficient "a."
Consider, the equation
C = 0.002x^2 - 3.2x + 1325
Here, a = 0.002 > 0
Since, if a > 0 then parabola is open upward and having minimum value at it's vertex.
First, to find the vertex of the quadratic equation.
Since,
V = (-b/2a, f(-b/2a))
Let, a = 0.002, b = -3.2, c = 1325
So,
-b/2a = 3.2/2(0.002) = 800
Therefore, the number of tires that minimizes the cost is 800.
Now to find the cost for that number of tires.
Plug x = 800 into the above quadratic equation
C = 0.002(800)^2 - 3.2(800) + 1325
C = 45
Hence, the cost for that number of tires is $45.
To know more about the parabola, click on the link
https://brainly.com/question/27872359
#SPJ4
What is the rectangular form of 17(cos(315°) + isin(315°))?
(17√2)/2 - (17√2)/2i
(17√2)/2 + (17√2)/2i
-(17√2)/2 - (17√2)/2i
-(17√2)/2 + (17√2)/2i
The complex number in rectangular form is 17√2 / 2 - i 17√2 / 2. (Correct choice: A)
What is the rectangular form of a complex number in polar form?
In this problem we have a complex number in polar form, whose formula is described below:
z = r · (cos θ + i sin θ)
Where:
r - Norm of the complex number.θ - Direction of a complex number, in degrees.And the rectangular form of the complex number is represented by:
z = a + i b, where a = r · cos θ and b = r · sin θ.
If we know that r = 17 and θ = 315°, then the rectangular form of the complex number is:
a = 17 · cos 315°
a = 17√2 / 2
b = 17 · sin 315°
b = - 17√2 / 2
The rectangular form of the complex number is 17√2 / 2 - i 17√2 / 2.
To learn more on complex numbers: https://brainly.com/question/28007020
#SPJ1
If f ( x ) = 3 log x and g( x ) = x 2 + 1, find g[ f ( x )]. (3logx)² + 1 3log(x² + 1) 3(x² + 1)logx.
If the function f (x) = 3 logx and g(x) [tex]=[/tex] x² + 1 , then the value of composite function g[f(x)] is (3logx)² + 1 , the correct option is (a) .
In the question ,
it is given that ,
the function f(x) is
f(x) [tex]=[/tex] 3logx
and the function g(x) is
g(x) [tex]=[/tex] x² + 1 ,
the value of the composite function g[f(x)] will be
g[f(x)] = g(f(x))
Substituting the value of f(x) = 3logx , we get
g(f(x)) = g(3logx)
Substituting the value of 3logx in the place of x in the function g(x) = x² + 1 ,
we get ,
= (3logx)² [tex]+[/tex] 1
Therefore , If the function f (x) = 3 logx and g(x) = x² + 1 , then the value of composite function g[f(x)] is (3logx)² + 1 , the correct option is (a) .
The given question is incomplete , the complete question is
If f ( x ) = 3 log x and g( x ) = x² + 1 , find the value of composite function g[ f ( x )] .
(a) (3logx)² + 1
(b) 3log(x² + 1)
(c) 3(x² + 1)logx
Learn more about Composite Functions here
https://brainly.com/question/2197898
#SPJ4
905789 x 9417???
THANK YOU FOR ALL YOUR HELP BRAINLIEST TO WHOEVER CORRECTLY ANSWERS FIRST TYSM TYSM TYSM
Answer:
905789 x 9417 = 8529815013
Step-by-step explanation:
I hope this helps, friend :)
quadrilateral BLUE is rotated 270 degrees counterclockwise about the orgin and then translated along the vdctor <5,-2>. Which of the following conclusion is true about the transformation of quadrilateral BLUE
Options B and C are the following conclusions that are true about the transformation of quadrilateral BLUE.
What is a quadrilateral?A four-sided polygon having four edges and four corners is referred to as a quadrilateral in geometry. The name is a combination of the Latin words quadri, which is a variation of four, and latus, which means "side." It is sometimes referred to as a tetragon, which is derived from the Greek words "tetra" for "four" and "gon" for "corner" or "angle," in comparison to other polygons (e.g. pentagon). Because "gon" means "angle," it is sometimes referred to as a quadrangle or 4-angle.
Either simple (not self-intersecting) or complicated quadrilaterals exist (self-intersecting, or crossed). Convex or concave surfaces characterize simple quadrilaterals.
From the given figure,
The points in the quadrilateral BLUE are
B(-8,5), L(-5,5), U(-3,4), E(-6,1)
If the quadrilateral BLUE is rotated 270° then,
B(-8,-5), L(-5,-5), U(-3,-4), E(-6,-1)
Now, the image is reflected
So, the points are switched as,
B'(-5,-8), L'(-5,-5), U'(-4,-3), E'(-1,-6)
Distance of BE is,
√(x₂-x₁)²+(y₂-y₁)²
√(-1+5)²+(-6+8)²
=√16+4
=√20
Distance of B'E' is,
√(-6+8)²+(1-5)²
=√4+16
=√20
∴BE=B'E'
And the quadrilateral B'L'U'E' will be located entirely on third quadrant.
Therefore, B and C are the appropriate choices.
To know more about quadrilateral, visit:
https://brainly.com/question/13805601
#SPJ1
The table shown represents a linear relationship.
x 0 1 2 3
y −6 −4 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x + 6
y = 2x − 6
y = −2x + 3
y = −2x − 3
Answer: y=2x-6
Step-by-step explanation:
y=2x-6 is the equation of the linear relationship in slope-intercept form
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us take any two points from the given table
(1, -4) and (0, -6)
The slope is m=-6+4/-1
=-2/-1
m=2
Now let us find the y intercept
-4=2(1)+b
-4=2+b
-6=b
So the slope intercept form is y=2x-6
Hence, y=2x-6 is the equation of the linear relationship in slope-intercept form
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Triangle VWX is formed by connecting the midpoints of the side of triangle STU. The lengths of the sides of the triangle VWX are shown. What is the length of the side
SU?
Figure not necessarily drawn to scale.
Examining the figure the length of the side SU is calculated to be
6
How to find the missing valueExamining the figure, it can be deduced that
XW = VT = 2 (opposite side of a parallelogram)
XV = WT = 2 (opposite side of a parallelogram)
VT = SV, therefore ST = 2 + 2 = 4
UW = WT, therefore UT = 2 + 2 = 4
The figure form similar triangles and the ratios as written below are equal
SU / VW = ST / XW = UT / XV
SU / VW = ST / XW
SU / 3 = 4 / 2
SU = 3 * 4 / 2
SU = 6
Learn more about triangles:
brainly.com/question/29436172
#SPJ1
Determine whether the linear relationship is a direct variation. If so, state the constant of variation. PLEASE HELP!
Answer:
Yes, it is a direct variation. The constant of variation is 4
Step-by-step explanation:
As y changes by 20, x changes by 5
[tex]\frac{20}{5}[/tex] = 4
Choose an acre of land in Canada at random. The probability is 0.38 that it is forest and 0.07 that it is agricultural. What is the probability that the acre chosen is not forested? Enter your answer to two decimal places. probability: What is the probability that it is either forest or agricultural? Enter your answer to two decimal places probability: IS We provar a randomly chosen acre in Canada is something other than forest or agricultural? Enter your answer to two decimal places. probability:
Probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
As given in the question,
Given probability are:
Probability of chosen the acre of land is forest is equal to 0.38.
Probability of chosen the acre of land is agriculture is equal to 0.07.
Probability of chosen the acre of land as per given conditions are as follow:
a. Let P(A) represents the probability of chosen the acre of land is forest.
Then P(A') is the probability of not forested.
P(A) + P(A') = 1
⇒0.38 + P(A') = 1
⇒ P(A') = 1 - 0.38
⇒ P(A') = 0.62
b. Let P(G) is the probability of chosen acre of land agricultural.
No common land given for forest or agriculture, they are independent events.
P(A∩G) = 0
Probability of chosen the acre of land either forest or agriculture
= P( A or G)
= P(A) + P(G) - P(A∩G)
= 0.38 + 0.07 -0
= 0.45
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Therefore, probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Learn more about probability here
brainly.com/question/11234923
#SPJ1