1) Evaluate the integral taking omega is the triangle formed by the x-axis 2y=x and x=2 (6e^(x^2))
2) Find the volue of the solid bounded by the coordinate planes and (1/3)x+(1/2)y+(1/4)z=1
The volume of the solid is 4π([tex]\frac{19}{6}[/tex]) and the integral of the f(x) , the line 2y=x, and x=2 is 3([tex]e^{4}[/tex] -1).
What is integral ?
An integral is a mathematical concept that is used to calculate the area under a curve or the total amount of change in a variable over a certain interval.
1)The first step is to find the intersection of the lines 2y=x and x=2. They will intersect at (2,1).
The second step is to find the intersection of the lines 2y=x and x=0. They will intersect at (0,0).
The third step is to find the integral over the region.
∫∫ (6e^(x^2))dxdy = ∫[0,2] (6e^(x^2))dx ∫[0,x/2] dy = ∫[0,2] (6e^(x^2))dx (x/2) = [3e^(x^2)] at [0,2] = 3e^(4) - 3e^(0) = 3(e^4 -1).
2)To find the volume of this solid, we can use the method of cylindrical shells.
we can find the function of the surface (1/3)x+(1/2)y+(1/4)z=1
by using cylindrical coordinates:
x = rcosθ , y = rsinθ , z = z
and substitute them in the equation (1/3)x+(1/2)y+(1/4)z=1
(1/3)rcosθ+(1/2)rsinθ+(1/4)z=1
(1/3)r(cosθ+2sinθ)+(1/4)z=1
z = 4(1-(1/3)r(cosθ+2sinθ))
V = ∫∫∫ 4(1-(1/3)r(cosθ+2sinθ)) rdrdθdz = 4π ∫[0,3] (1-(1/3)r(cosθ+2sinθ)) r^2 dr = 4π ∫[0,3] (1-r+(2/3)r^2) dr = 4π(3 - (3/2) + (2/3)) = 4π(19/6).
Hence , The volume of the solid is 4π([tex]\frac{19}{6}[/tex]) and the integral of the f(x) , the line 2y=x, and x=2 is 3([tex]e^{4}[/tex] -1).
To learn more about integral visit : brainly.com/question/18125359
#SPJ4
12
R
T
37
35
Enter the ratio equivalent to tan(R).
>S
Answer:
[tex]\frac{35}{12}[/tex]
Step-by-step Explanation:
The tangent of an acute angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
Find The Missing Coordinates Such That The Three Vectors Form An Orthonormal Basis For ℝ3 : -0.6 _____ _____
0.8 _____ -0.6
_____ 1 _____
The missing coordinates of given vectors a, b, c, d, and e are 0,0,0, -0.8, and 0. Then, the vectors are [tex]\vec{u}=\left[\begin{array}{ccc}-0.6\\0.8\\0\end{array}\right][/tex], [tex]\vec{v}=\left[\begin{array}{ccc}0\\0\\1\end{array}\right][/tex], and [tex]\vec{w}=\left[\begin{array}{ccc}-0.8\\-0.6\\0\end{array}\right][/tex]
We refer to two vectors as being orthogonal if they are perpendicular to one another. So these vectors' dot product will be zero. Let the given three vectors be [tex]\vec{u}[/tex], [tex]\vec{v}[/tex], and [tex]\vec{w}[/tex]. And the unknowns be a, b, c, d, and e.
Then, the vectors are written as
[tex]\vec{u}=\left[\begin{array}{ccc}-0.6\\0.8\\a\end{array}\right][/tex], [tex]\vec{v}=\left[\begin{array}{ccc}b\\c\\1\end{array}\right][/tex], and [tex]\vec{w}=\left[\begin{array}{ccc}d\\-0.6\\e\end{array}\right][/tex]
First, take [tex]\vec{u}[/tex] and consider unit length, we get,
[tex]1=\sqrt{(-0.6)^2+(0.8)^2+a^2}\\1=1+a^2\\a=0[/tex]
For [tex]\vec{v}[/tex], we get,
[tex]1=\sqrt{(b)^2+(c)^2+1^2}\\1=1+b^2+c^2\\b=0\;\text{and}\;c=0[/tex]
We know that [tex]\vec{w}[/tex] is orthogonal to both vectors, then,[tex]\vect{w}\cdot{\vec{v}=0[/tex]. Substituting, the values of [tex]\vec{v}[/tex] and [tex]\vec{w}[/tex], we get,
[tex]\begin{aligned}\langle d, -0.6, e\rangle \;\cdot\;\langle 0, 0, 1\rangle&=0\\e&=0\end{aligned}[/tex]
Also, [tex]\vect{u}\cdot{\vec{w}=0[/tex], Substituting, the values of [tex]\vec{u}[/tex] and [tex]\vec{w}[/tex], we get,
[tex]\begin{aligned}\langle -0.6, 0.8, 0\rangle \;\cdot\;\langle d, -0.6, e\rangle&=0\\-0.6d-0.48+0&=0\\-0.6d&=0.48\\d&=-0.8\end{aligned}[/tex]
Therefore, the required answers for a, b, c, d, and e are 0,0,0, -0.8, and 0.
To know more about orthogonal vectors:
https://brainly.com/question/30075875
#SPJ4
How many terms each expression has in 5 - g
The expression 5 - g has two terms in it, "5" and "g" where 5 is a constant and g is a variable.
How can the terms of an algebraic expressions be found?To find the number of terms in an algebraic expression, you find out the number of signs that separate the terms and these signs only include the plus and minus signs. In this case 5 - g has two terms, 5 and g.
A term can be a number, a variable, a product of two or more variables, or a number and a variable product. An algebraic expression can be made up of a single term or a group of terms. For example, the two terms in the expression 4x + y are 4x and y. It should be noted that the terms combine to form the expression.
Learn more on terms of expressions here: https://brainly.com/question/1859113
#SPJ1
For this item, a non- integer answer should be entered as fraction using / as the fraction bar . Simplify the numeral expression. 2/3 devised 2/4 + ( 3/4 + 1/6) divided by 1/3
Answer:67/24
Step-by-step explanation:
i did it
WHICH EXPRESSION IS EQUIVALENT TO 3(x-2)
The expression 3(x-2) is equivalent to 3x - 6.
When you distribute the 3 to the term inside the parentheses, you multiply 3 by x and by -2, resulting in 3x - 6.
This is because the distributive property states that for any real numbers a, b, and c, the expression a(b+c) is equivalent to ab + ac. In this case, we have a = 3, b = x, and c = -2, so we can apply the distributive property and get 3x - 6.
You can also think of it as 3 multiplied by (x-2)
3x - 32 = 3x - 6
what is 1216 mm in cm
If sum of 5 numbers in AP is 40 then find the middle term
Answer:
8
Step-by-step explanation:
Let the AP numbers be: ( a - 3d ), ( a - d ), a, ( a + d ), ( a + 3d )
We are given that sum of all these numbers is 40.
⇒ a - 3d + a - d + a + a + d + a + 3d = 40
⇒ 5a + 4d - 4d = 40
⇒ 5a = 40
⇒ a = 40 / 5 = 8
We know that the middle term of the five numbers given is 'a'.
As a result, the given AP's middle term is 8.
Good luck <3
pls I need help in this exercise
Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.
Describe equation.When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.
Here,
Given :
50a + 12h is the floor area of a square foot.
where h is the amount of hours.
Thus.
When t=6 and a=40
So ,
the price of carpeting
=> Price = 50a plus 12h
=> Cost = 50*40 + 12*6
=> Cost = 2000 + 72
=> Cost = 2072
As a result, the answer to the given equation's problem is that a carpet costs $2072.
To know more about equation ,visit
brainly.com/question/10413253
#SPJ1
7. Choose all the expressions that are equal
to 1.25 10.
0 12.5-
12.5 ÷ 10²
0.125 100
O 1,250 104
0 12.5 ÷ 1
125 - 1,000
Upon solving the decimals, The expression which is equivalent to 0.125 are -12.5 ÷ 10²⇒ 0.125 and 1,250 ÷ 10⁴ ⇒ 0.125.
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different sorts of decimals (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).
1.25 ÷ 10 ⇒ 0.125
Upon solving the decimals,
12.5 ÷ 10² ⇒ 0.125
0.125 ÷ 100 ⇒ 0.00125
1,250 ÷ 10⁴ ⇒ 0.125
12.5 ÷ 1 ⇒ 12.5
125 ÷ 1,000 ⇒ 0.0125
The expression which is equivalent to 0.125 are -
12.5 ÷ 10² ⇒ 0.125
1,250 ÷ 10⁴ ⇒ 0.125
To learn more about decimals from given link
https://brainly.com/question/26090574
#SPJ1
PLS HELP ME I WILL GIVE 10 POINTS AND BRAINLIEST! BUT YOU MUST EXPLAIN AND SHOW WORK!
The value of a and b for the given quadrilateral to be a parallelogram is a = 16 and b = 4.
What is parallelogram?A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
A parallelepiped is a three-dimensional shape with parallelogram-shaped faces.
We know that the opposite sides of a parallelogram are equal in length so we can equate the two sides as follows:
For a:
2a + 6 = 3a -10
Isolate the value of a by moving all the values having a to one side:
2a + 6 = 3a -10
3a - 2a = 6 + 10
a = 16
For b:
6b - 3 = 5b + 1
Isolate the value of b by moving all the values having b to one side:
6b - 3 = 5b + 1
6b - 5b = 1 + 3
b = 4
Hence, the value of a and b for the given quadrilateral to be a parallelogram is a = 16 and b = 4.
Learn more about parallelogram here:
https://brainly.com/question/29147156
#SPJ1
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 400 sandwiches in all, 288 of which were turkey. What percentage of the sandwiches were turkey sandwiches?
47 percent of the sandwiches had turkey.
How the Percentage is calculated?Find the whole amount of what you're looking for to get a percentage of.
To calculate the percentage, divide the number.
Add 100 to the value.
A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, 35% is equal to the fraction 0.35 or the decimal 0.35.
The value of the number out of 100 is the proportion of the number. For instance, there are 26 females and 24 boys in a class. As a result, 52 out of 100 students in the class are females, or 52% of the class.
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Percentages.
According to our question
47+53= 100%,
So 1= 1%
= 47x1= 47, So it equals 47%.
learn more about percentages refer to:
https://brainly.com/question/24304697
#SPJ1
On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden. The graph models the growth of
each plant since the day they were planted.
12
11
10
9
8
Height 74
of Plant 6-
(cm) 5
4
3
1
1
3
Days After Being Planted
How many days after being planted were the two plants the same height?
OA 2
B. 3
OC. 5
The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).
How to know if the lines intersect in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.
Now,
On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.
The graph models the growth of each plant since the day they were planted.
The intersection of the two lines represents the days after being planted were the two plants the same height.
The answer is that 2 days after being planted, the two plants are the same height.
To know more about lines intersecting in a graph, visit the link
https://brainly.com/question/1979522
#SPJ1
The answer is that 2 days after being planted, the two plants are the same height.
How to know if a point lies in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.Thus, if a point lies on the graph of a function, then it must also satisfy the function.On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.The graph models the growth of each plant since the day they were planted.We need to find How many days after being planted were the two plants the same height.The intersection of the two lines represents the days after being planted were the two plants the same height.The answer is that 2 days after being planted, the two plants are the same height.
Learn more about points lying on the graph of a function here:
brainly.com/question/1979522
#SPJ1`
Selkirk Company obtained a $15,000 note receivable from a customer on January 1, 2021. The note, along with interest at 9%, is due on July 1, 2021. On February 28, 2021, Selkirk discounted the note at Unionville Bank. The bank’s discount rate is 12%.
Required:
Prepare the journal entries required on February 28, 2021, to accrue interest and to record the discounting for Selkirk. Assume that the discounting is accounted for as a sale. (Do not round intermediate calculations. If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)
The journal entries required on February 28, 2021, for Selkirk Company to accrue interest and to record the discounting are as follows:
Journal Entries:Debit Interest Receivable $225
Credit Interest Revenue $225
Debit Cash $15,048
Debit Interest Expense $177
Credit Note Receivable $15,000
Credit Interest Receivable $225
What are the steps in recording a discounted note receivable?When a note receivable is discounted, the following steps are followed:
Compute the maturity valueCompute the discount (discount rate times maturity value)Compute the proceeds (maturity value less discount)Compute the net interest income or expense (proceeds less carrying value)Prepare the journal entries.Transaction Analysis:February 28, 2021
Interest Receivable $225 Interest Revenue $225
Cash $15,048 Interest Expense $177 Note Receivable $15,000 Interest Receivable $225
Note receivable = $15,000
Interest = 9%
Maturity period = 6 months (Jan 1, 2021, to July 1, 2021) or 180 days
Discount date = February 28, 2021
Maturity value = $15,675 ($15,000 + $15,000 x 9% x 6/12)
Discount = $627 ($15,675 x 12% x 120/360)
Proceeds = $15,048 ($15,675 - $627)
Accrued interest = $225 ($15,000 x 9% x 60/360)
Note's carrying value on February 28, 2021, = $15,225 ($15,000 + $225)
Interest expense = $177 ($15,048 - $15,225)
Learn more about recording note discounting at https://brainly.com/question/6614917
#SPJ1
Find the two missing numbers in the following sequence: 1, 8, ?, 16, 17, 24, 25, 32, 33, ?
Answer:
7 and 40
Step-by-step explanation:
for you to get the next number you have to add 7 to that number...then add 1 to the number you have gotten then continue like that
eg: to get 8 you had to add 7 to 1 now to get the next number add 1 to 8 to get 9 then add 7 to 9 to get 16 then continue like that
3y-5x=-9 use technology to find points and graph
The points to be graphed are (0, -3) and (1.8, 0). The graph of the equation is shown in the attached image
How to find the points and graph?
In order to graph the equation of the line 3y-5x=-9:
First, find the value of x when y = 0:
3y-5x=-9, when y = 0:
3(0) - 5x=-9
- 5x = -9
x = 9/5
x = 1.8
Also, find the value of y when x = 0:
3y-5x=-9, when x = 0:
3y - 5(0) = -9
3y = -9
y = -9/3
y = -3
Therefore, the values to be plotted on our graph are (0, -3) and (1.8, 0). The image of the graph is attached
Learn more about graphs of straight lines on:
brainly.com/question/16934180
#SPJ1
Enlarge the triangle by scale factor -2 with centre of enlargement (6, 7).
Line connecting each of the triangle's points, passing through points (6,7) along the route (2), (5), (4), and (6) are the points (4,1).
what is triangle ?Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners.
given
A shape is upside down and enlarged on the side opposite the center of expansion when you raise a shape with a negative scale factor.
points include
(2,5)
(4,5)
(4,1)
Create a line connecting each of the triangle's points, passing through points (6,7) along the route (2), (5), (4), and (6) are the points (4,1).
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Use the graph to write a linear function that relates y to x.
The required equation is y=x/3+3
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here the line passes through the points (3,4) and (0,3)
Thus the slope intercept form of the line passing through these points is
y=x/3+3 where m=4-3/3-0 is the slope of the line
Hence, The required equation is y=x/3+3
Learn more about the linear function here:
https://brainly.com/question/29739212
#SPJ1
PLEASEEEEE HELP I NEEEED JUST ONE
the above question is an example with answer
Answer: Pretend the function g(x)=4x+1 is x and replace x in f(x) with it
Step-by-step explanation:
Use properties of operations to generate an expression that is equivalent to the given expression. −2(x−7)+(−5)
Answer:
-2x + 9
Step-by-step explanation:
-2(x - 7) + (-5)
-2x + 14 -5
-2x + 9
The principal wants to share 1,869 pencils between 4 4th grade and 3 third grade classrooms. How many pencils will each classroom get?
On solving the provided question, we can say that = 9227446, depreciation If round at hundredth, then, Number of tree = 9227400.
How can you compute depreciation mathematically?Identify the asset's cost. Get the asset's total depreciable value by deducting the projected salvage value from the asset's purchase price. Determine the asset's useful life. The annual depreciation amount is obtained by dividing the sum of steps (2) and (3) by the figure determined in steps (3).
Depreciation is the practice of deducting the cost of a company asset over a number of years as opposed to just one. There are four primary ways to depreciate assets: linear, twofold declining, sum of the years' digits, and manufacturing units.
As it is given, 1% of left tree is decaying every year.
Number of tree left after 8 years.
A = P{1-R/100}^ = 10M{1-1%/100}^
= 10M *(0.99)^
= 9227446
If round at hundredth, then,
Number of tree = 9227400.
To know more about depreciation visit:
brainly.com/question/15085226
#SPJ1
Xavier’s car used 1 1/3 gallons to travel 59 miles. How many miles can the car go on one gallon of gas
The car can go 44.25 miles on one gallon of gas
How to calculate the number of miles the car can travel on one gallon?Xavier's car used 1 1/3 gallons to travel for 59 miles
The number of miles travelled on one gallon of gas can be calculated as follows
1 1/3 gallons= 59 miles
1 gallon= x
Cross multiply both sides
4/3x= 59
4x= 177
x= 177/4
x= 44.25
Hence Xavier's car can travel 44.25 miles on one gallon of gas
Read more on miles here
https://brainly.com/question/29327084
#SPJ1
Question 1 (1 point)
Simplify-9(x + 3) + 15x
06x-27
33x
06x + 27
24 + 27 I will give 100 points pls hurry
Answer:
A) 6x - 27
Step-by-step explanation:
Given expression:
[tex]-9(x + 3) + 15x[/tex]
Apply the distributive property:
[tex]\implies -9 \cdot x -9 \cdot 3+15x[/tex]
[tex]\implies -9x -27+15x[/tex]
Collect like terms:
[tex]\implies -9x+15x -27[/tex]
Combine like terms:
[tex]\implies 6x -27[/tex]
Answer:
[tex] \sf \: a) \: 6x - 27[/tex]
Step-by-step explanation:
Now we have to,
→ simplify the given expression.
The expression is,
→ -9(x + 3) + 15x
Let's simplify the expression,
→ -9(x + 3) + 15x
→ -9x - 27 + 15x
→ (-9x + 15x) - 27
→ (6x) - 27
→ 6x - 27
Hence, the answer is 6x - 27.
Review the graph of function f(x), which is defined for -
6 ≤x≤ 8.
Which one-sided limit does not exist?
Olim f(x)
X-2*
O
O
lim f(x)
x-2"
lim f(x)
x--6*.
lim f(x)
x--6
The one-sided limit that does not exist is given as follows:
lim x -> -6^- f(x).
How to obtain the one sided limit that does not exist?A one sided limit will not exist when it is outside the domain of the function.
The domain of a function is composed by the set of all the input values of the function, hence on the graph it is given by the values of x.
For this problem, the domain is then given as follows:
-6 ≤ x ≤ 8.
To the left of -6, the function is not defined, hence the one-sided limit that does not exist is given as follows:
lim x -> -6^- f(x).
Meaning that the correct option is given by the last option.
More can be learned about limits at https://brainly.com/question/23935467
#SPJ1
Fish tank cost $12.50 each fish cost $0.20 what is m and b and equation representing relationship
Answer:
y = 0.20x + 12.5
Q)Lets set the cost of the cost as the y-axis and the amount of fish as the x-axis. 12.50, a constant and the y-intercept, is the price when you don't have any fish.
0.2 is the slope and in this case, the amount of 1 fish.
0.2x + 12.5 is the total amount as every fish added adds 20 cents. 12.5 is the fishtank which you need to get before getting any fish.
In economics, a service is
Answer:
providing goods
Step-by-step explanation:
i need 20 words so here, you can you go without the hard rock you can you go without it is not the first half way to you by the
Decrease 120% by 15%
By simply dividing the reduced value by 12, the value of 120 decreases by 12%, yielding a percentage drop of 102.
what is percentage ?In mathematics, a ratio or number expressed as a fraction of 100 is called a percentage. Also occasionally used are the acronyms "pct.," "pct," and "pc." However, the percentage symbol "%" is widely used to represent it. The % quantity is dimensionally empty. Basically, percentages are fractions when the denominator is 100. A percent symbol (%) should be placed next to a number to indicate that it is a percentage. For instance, you score a 75% on a test if you properly answer 75 out of 100 questions (75/100). When calculating percentages, multiply the result by 100 after dividing the amount by the total. By multiplying (value/total) by 100%, the percentage is determined.
given
The value of the percentage decrease
= · 120 - (15% × 120)
= 120 - 15% × 120
= 85 ÷ 100 × 120
= 85 × 120 ÷ 100 = 102
You may calculate the percentage drop by simply dividing the lowered value by the original value and multiplying the result by 100.
In this case, Reduced Value equals Original Value - New Value.
By simply dividing the reduced value by 12, the value of 120 decreases by 12%, yielding a percentage drop of 102.
To know more about percentage visit:
https://brainly.com/question/29306119
#SPJ1
Can someone help me with this 8 exercises ?, thanks a lot!
Answer:
.........,..........,.
Step-by-step explanation:
.................. .....
you mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quart of purple paint. How much blue paint and how much red paint do you use?
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.
Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,
x / y = (1/2) / (1/3)
x / y = 3/2 ...1
x + y = 5 ...2
From equations 1 and 2, then we have
(3/2) y + y = 5
(5/2) y = 5
y = 2 quart
Then the value of 'x' is given as
x + 2 = 5
x = 3 quart
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Will this question be independent or dependent.
There are 8 boys and 6 girls on soccer team. The coach will select a captain and then select a co captain. What is the probability of selecting a boy then a girl
The probability of selecting a boy then a girl is 24/91
What is probability?Probability is defined as the chance of occurrence of an event
E. It is the ratio of the number of required outcome over the total of all possible outcomes in an even.
the given parameters that will help us to determine the probabilities are
There are 8 boysThere are 6 girls on soccer teamTotal number of Students in the soccer = 8+6 = 14The probability of the event is
P(E) = Pr(B) Then Pr(G)
Pr(E) = 8/14 *6/13
Simplify the fractions to have 48/182
= 24/91
Conclusively the selection is 24/91
Learn more about probabilities on https://brainly.com/question/30034780
#SPJ1