Answer:
Step-by-step explanation:
Two-ninths of h
algebraic expression translate
The algebraic expression "two-ninths of h" can be written as (2/9)h, where h is the variable being multiplied by the fraction 2/9.
"Two-ninths of h" is an algebraic expression that represents a quantity that is equal to two-ninths of the value of h. It can be written as 2h/9 or (2/9)h. In this expression, h represents an unknown value or variable, and 2/9 is a constant that specifies the fraction of h that is being considered. This expression can be used in mathematical equations to represent a specific portion or amount of h, depending on the context of the problem.
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If < C and < D are supplementary and < C = 5 0 °, find the measure of
< D = °
....
Answer:
<D = 130°
Step-by-step explanation:
Supplementary = 180°
<C = 50°
<D = ?
<C + <D = 180°
180° - 50° = 130°
<D = 130°
Use the graph of f(x)=−8x-2x^2 to answer the question.
Is f(x) increasing, decreasing, or constant for -2
At x = -2, which is the vertex of the quadratic function, the function f(x) is constant.
How to classify a function as increasing, decreasing or constant?To classify the graph of a function as increasing, decreasing, or constant, you need to examine the direction in which the graph is moving.
A function is considered increasing if its graph moves up and to the right as you follow it from left to right. In other words, if the y-values of the function increase as the x-values increase, then the function is increasing.A function is considered decreasing if its graph moves down and to the right as you follow it from left to right. In other words, if the y-values of the function decrease as the x-values increase, then the function is decreasing.A function is considered constant if its graph remains at the same level and does not move up or down as you follow it from left to right. In other words, if the y-values of the function do not change as the x-values increase, then the function is constant.x = -2 is the vertex of the quadratic function, which is the turning point of the function, where it changes from increasing to decreasing, hence the function is considered to be constant at x = -2, as it has a derivative of zero at x = -2.
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The box plot shows information
about the heights, in cm, of a Yr 10
group of Year 10 students.
Yr 7
130
a) The table shows information about
the heights, in cm, of a group
of Year 7 students.
Complete the boxplot for Year 7.
b) The heights distributions of Year 10
and Year 7 are compared.
140
height
(cm)
150
160
Height (cm)
median
170
least
upper
lower
quartile quartile
height
145 158 154 166
range
25
A- The median height is higher for Yr 7 than for Yr 10
Select the statements that apply. B-The interquartile range is higher for Yr 7 than for Yr 10
C - The data range is wider for Yr 7 than for Yr 10
D- The median height is lower for Yr 7 than for Yr 10
180
(3)
(2)
Total marks: 5
Answer:
The box plot shows information
about the heights, in cm, of a Yr 10
group of Year 10 students.
Yr 7
130
a) The table shows information about
the heights, in cm, of a group
of Year 7 students.
Complete the boxplot for Year 7.
b) The heights distributions of Year 10
and Year 7 are compared.
140
height
(cm)
150
160
Height (cm)
median
170
least
upper
lower
quartile quartile
height
145 158 154 166
range
25
A- The median height is higher for Yr 7 than for Yr 10
Select the statements that apply. B-The interquartile range is higher for Yr 7 than for Yr 10
C - The data range is wider for Yr 7 than for Yr 10
D- The median height is lower for Yr 7 than for Yr 10
180
(3)
(2)
Total marks: 5
Step-by-step explanation:
A - The median height is higher for Yr 7 than for Yr 10. (Incorrect)
B - The interquartile range is higher for Yr 7 than for Yr 10. (Correct)
C - The data range is wider for Yr 7 than for Yr 10. (Correct)
D - The median height is lower for Yr 7 than for Yr 10. (Incorrect)
Therefore, the correct statements are B and C.
I NEED HELP ON THIS ASAP!! IT's DUE TODAY, I'LL GIVE BRAINLIEST!
Answer:
Let's start by defining our variables:
Let x be the number of mahogany boards sold.Let y be the number of black walnut boards sold.Now, let's write the system of inequalities to represent the constraints:
The company has 260 boards of mahogany, so x ≤ 260.
The company has 320 boards of black walnut, so y ≤ 320.
The company expects to sell at most 380 boards, so x + y ≤ 380.
We cannot sell a negative number of boards, so x ≥ 0 and y ≥ 0.
Graphically, these constraints represent a feasible region in the first quadrant of the xy-plane bounded by the lines x = 260, y = 320, and x + y = 380, as well as the x and y axes.
To maximize profit, we need to write a function that represents the objective. The profit for selling one board of mahogany is $20, and the profit for selling one board of black walnut is $6. Therefore, the total profit P can be calculated as:
P = 20x + 6yTo maximize P, we need to find the values of x and y that satisfy the constraints and make P as large as possible. This is an optimization problem that can be solved using linear programming techniques.
The solution to this problem can be found by graphing the feasible region and identifying the corner point that maximizes the objective function P. However, since we cannot draw a graph here, we will use a table of values to find the maximum profit.
Let's consider the corner points of the feasible region:
Corner point (0, 0):
P = 20(0) + 6(0) = 0
Corner point (260, 0):
P = 20(260) + 6(0) = 5200
Corner point (0, 320):
P = 20(0) + 6(320) = 1920
Corner point (100, 280):
P = 20(100) + 6(280) = 3160
Corner point (200, 180):
P = 20(200) + 6(180) = 5520
Corner point (380, 0):
P = 20(380) + 6(0) = 7600
The maximum profit is $7600, which occurs when the company sells 380 boards of wood, all of which are mahogany.
someone please help!!
Adela paints a mural of Mount Rushmore. She uses the scale 6 ft to 1 ft from the actual monument to the mural. On Adela's mural, how much wider is George Washington's mouth than his eye? Show your work,
7/6 is wider George Washington's mouth than his eye.
What is unitary method?"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value. For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
According to our question-
eye length = 11/6
difference= 3 - 11/6
7/6
Hence, 7/6 is wider George Washington's mouth than his eye.
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Write each polynomial in Standard form and name it based on its degree an number of terms.
9x²-213
Standard --
Degree
Terms
We would name this polynomial as a quadratic polynomial with two terms.
In standard mathematics, what is a polynomial function?A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.
In the standard form of a polynomial, the terms are written in descending order of degree. The standard form for a polynomial of degree n is:
a1x + a0 + anxn + an-1xn-1 +...
We have the polynomial in this case:
9x² - 213
To write it in standard form, rearrange the terms in descending order of degree as follows:
213 + 9x²
As a result, the standard form of the polynomial is:
9x² - 213
This polynomial has degree 2 (because x's highest exponent is 2) and two terms (since there are two distinct parts to the expression, a constant and a term with an x squared coefficient).
As a result, we'd call this polynomial a quadratic polynomial with two terms.
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A rectangle has a length of (x+4)cm and a width of (3x-1)cm. It’s perimeter is 78cm
Calculate the value of x
Answer:
X≈ 2,37 cm
x= (-11+√637)/6 cm
Step-by-step explanation:
Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each
After selling x pints of Boldly Buttered Popcorn icecream and y pints of Lovely Lavender Lemon on the charged of $10 for each, his profit equation is written as P = 6x + 6y = 6( x + y).
We have, Mr. McCoy's new ice cream shop. He sold two flavors of icecream. He sold his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. The quantity of sold Boldly Buttered Popcorn ice cream = x pints
The quantity of sold Lavender Lemon ice cream = y pints
Cost of each pint of ice cream = $4
Selling price of each pint of ice cream
= $10
First, total pints of icecream he sold
= pints of Boldly Buttered Popcorn ice cream+ pints of Lavender Lemon ice cream = ( x + y) pints
Now, Cost of (x + y) pints of ice cream
= $4 ( x + y)
Similarly, selling price of ( x + y ) pints of icecream = $ 10 ( x + y)
As we know, when selling price is greater than cost price then profit will occur. Equation for profit P = selling price - cost price = $ 10 ( x + y) - $4 ( x + y)
= 10 x + 10y - 4x - 4y
P = 6(x + y)
Hence, required equation is 6x + 6y.
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Complete question:
Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each. Write an equation for his profit or loss on ice cream selling.
Use the formula pH=log(1/[H^+]) to write an expression for the concentration of hydrogen ions in a liter of a sports drink that has a pH of 2. 4. What is the concentration of hydrogen ions?
The concentration of hydrogen ions in a liter of the sports drink is approximately 3.98 x 10^(-3) moles per liter.
The pH of a substance is a measure of its acidity or basicity and is defined as the negative logarithm (base 10) of the hydrogen ion concentration [H+]. The formula for pH is given as pH = -log[H+].
To find the concentration of hydrogen ions in a liter of a sports drink that has a pH of 2.4, we can use the formula pH = -log[H+]. Rearranging this formula, we get [H+] = 10^(-pH).
Substituting the given value of pH into this expression, we get [H+] = 10^(-2.4).
It's worth noting that the hydrogen ion concentration is related to the acidity of a solution; the higher the hydrogen ion concentration, the more acidic the solution. The pH scale ranges from 0 (most acidic) to 14 (most basic), with a pH of 7 being neutral. The sports drink in question has a relatively low pH, indicating that it is quite acidic.
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how to find angle DCE in the triangle
Answer:
36
Step-by-step explanation:
9x-31+7x-2+4x+33=360
x=18
7(18)-2
124
180-124=36
In a regular pentagon PQRST. PR intersects QS
at O. Calculate angle ROS.
Answer: 72°
Step-by-step explanation:
To find the interior angle of this shape, use the formula 180(n-2)/n, where n is the amount of sides. Plugging 5 in for the interior angle of a pentagon, you get 180(3)/5, or 108°.
Using the statement that PR intersects QS, we can see that triangle QOR is isosceles (to get this, look at triangle PQR, and note that because it has 2 equal side lengths, and its last length is not equivalent to the other 2 sides, it is isosceles). Solving for angle PRQ, we know one angle is 108°, and the other two are equal. The total angle in a triangle is 180°, so (180°-108°)/2 = 36° (angles QPR and PRQ).
Since the angle of R = 108°, we can find angle PRS as 108° - 36°, or 72°. Since triangles PQR and QRS are similar (share the same angles and side lengths), we can see that angle RQS and RSQ are both 36°.
Since ORS is a triangle, its angle total is 180°. Since we know the angles ORS and OSR (respectively) already as 72° and 36°, we can subtract these angles to find angle ROS. 180°-72°-36° = 72°
please ive been on this question for a week
Find the outer perimeter.
6 ft
4 ft
15 ft
10 ft
P = [?] ft
Round to the nearest
hundredth.
Answer:
P= 40 ft
Step-by-step explanation:
Perimeter is the sum of all the lengths
So,
Perimeter= 6+4+15+10ft
= 35ft
Nearest ten can be 40ft or 30ft
If you succeed In understanding then kindly mark my answer the brainliest. Thank you :)
Shanika bought 1 Notebook and 5 pencils at a cost of $10.00. Jules paid $14.90 for 1 Notebook and 12 pencils. How much did Jules pay for 1 pencil if both pay the similar prices?
ANSWER
Jules paid $0.70 for one pencil
STEPS
Cost of One Pencil.
Let's assume the cost of one notebook be x and one pencil be y.
According to the given information,
Shanika bought 1 notebook and 5 pencils at a cost of $10.00. Therefore,
1x + 5y = 10 --- equation 1
Jules paid $14.90 for 1 Notebook and 12 pencils. Therefore,
1x + 12y = 14.9 --- equation 2
We need to find the cost of one pencil, i.e., y.
We can solve the above equations simultaneously to find the value of y.
Multiplying equation 1 by 12 and equation 2 by 5, we get:
12x + 60y = 120 --- equation 3
5x + 60y = 74.5 --- equation 4
Subtracting equation 4 from equation 3, we get:
7x = 45.5
x = 6.5
Substituting the value of x in equation 1, we get:
1(6.5) + 5y = 10
5y = 3.5
y = 0.7
Therefore, Jules paid $0.70 for one pencil.
ChatGPT
Answer:
Jules pay:
$0.7
Step-by-step explanation:
1n + 5p = 10 Eq. 1
1n + 12p = 14.9 Eq. 2
n = cost of one notebook
p = cost of one pencil
From Eq. 1
n = 10 - 5p Eq. 3
From Eq. 2
n = 14.9 - 12p Eq. 4
Equalizing Eq. 3 and Eq. 4:
10 - 5p = 14.9 - 12p
12p - 5p = 14.9 - 10
7p = 4.9
p = 4.9 / 7
p = 0.7
From Eq. 3:
n = 10 - 5p
n = 10 - 5*0.7
n = 10 - 3.5
n = 6.5
Check:
From Eq. 2:
n + 12p = 14.9
6.5 + 12*0.7 = 14.9
6.5 + 8.4 = 14.9
Then:
1 pencil = $0.7
Solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places
The solution to the equation 3/4x - 5 = x, is equals to -20.00 (correct to 2 decimal places).
To solve the equation 3/4x - 5 = x for x, we can start by isolating the variable term on one side of the equation and the constant term on the other side. We can do this by adding 5 to both sides of the equation:
3/4x - 5 + 5 = x + 5
3/4x = x + 5
Next, we can isolate x on one side of the equation by subtracting x from both sides:
3/4x - x = x + 5 - x
-1/4x = 5
Finally, we can solve for x by dividing both sides of the equation by -1/4:
x = -20
Therefore, by using isolating the variable term and solving for x. we find the solution of 3/4x - 5 = x, correct to 2 decimal places, is x = -20.00.
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A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C = 750+ 16.95N, where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R = 33.70N.
Let P be the profit made (in dollars). Wnite an equation relating P to N. Simplify your answer as much as possible.
P =
Answer:
The profit made is given by the difference between the total revenue and the total production cost:
P = R - C
Substituting the given expressions for R and C, we get:
P = 33.70N - (750 + 16.95N)
Simplifying:
P = 16.75N - 750
Therefore, the equation relating P to N is P = 16.75N - 750
An aquarium can be modeled as a right rectangular prism. Its dimensions are 19 in by 15 in by 12 in. How many cubic inches of water are in it when it is full? Round your answer to the nearest tenth if necessary.
Answer:
The volume of the aquarium can be found by multiplying its length, width, and height:
Volume = length x width x height
Volume = 19 in x 15 in x 12 in
Volume = 3,420 cubic inches
Therefore, when the aquarium is full, it can hold 3,420 cubic inches of water.
Step-by-step explanation:
Calculate (3.7 x 10¹⁴) + (9 × 10¹²) Give your answer in standard index form.
Answer:3.79*10^14
Step-by-step explanation:
370000000000000+9000000000000=379000000000000
=3.79 x 10^14
Answer:
(3.79×10^14)
Step-by-step explanation:
sjskakakzks
Write in the standard form of a conic if possible, and identify the conic section represented by r = 6/(cos x + 3sin x)
The standard form of a conic section represented by r = 6/(cos x + 3sin x) is r^2 = 6(x + 3y) and the represented equation is a line.
The equation r = 6/(cos x + 3sin x) is in polar form, where r represents the distance from the origin to a point (x, y) in the plane, and x is the angle that the line connecting the origin to (x, y) makes with the positive x-axis. To determine the standard form of the conic represented by this equation, we need to convert it to Cartesian coordinates.
Using the trigonometric identity cos x = x/r and sin x = y/r, we can rewrite the equation as:
r = 6/(x/r + 3y/r)
Multiplying both sides by r, we get:
r^2 = 6(x + 3y)
This is the standard form of a conic section in Cartesian coordinates, namely an equation of a line. Therefore, the conic represented by the equation r = 6/(cos x + 3sin x) is a line in the Cartesian coordinate system.
In summary, to determine the standard form of a conic represented by an equation given in polar form, we can use trigonometric identities to rewrite it in Cartesian coordinates.
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What is the value of x in the triangle to the right? (7x+3) 85 50
Answer:
Step-by-step explanation:
We know that a triangle angles total equals 180 so we could use the numbers and the equation, add it up and then find the value of x
(7x + 3) + 85 + 50 = 180
7x + 138 = 180
7x = 180-138
7x = 42
x = 6
Now that we found the value of x we can know substitute the value into the equation to find the value of the angle.
7x+3
42+3
45
Solve the inequality.
Answer:
-4 >= x or x <= -4
Step-by-step explanation:
19 <= 7 - 3x
12 <= -3x
divide by negative flip the sign
-4 >=
Answer:
x ≤ -4
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The inequation is,
→ 19 ≤ 7 - 3x
Then the value of x will be,
→ 19 ≤ 7 - 3x
→ 7 - 3x ≥ 19
→ -3x ≥ 19 - 7
→ -3x ≥ 12
→ x ≤ 12/(-3)
→ x ≤ -12/3
→ [ x ≤ -4 ]
Hence, the answer is x ≤ -4.
The hypotenuse of a right triangle measures 15 cm and one of its legs measures 14 cm. Find the measure of the other leg. If necessary, round to the nearest tenth
Answer:
The other leg is 5.4 cm
Step-by-step explanation:
Pre-SolvingWe are given that in a triangle, the hypotenuse is 15cm, and one of the legs is 14cm.
We want to find the length of the other leg.
SolvingThe Pythagorean Theorem states that a² + b² = c², where a and b are the legs and c is the hypotenuse.
We can substitute what we know into the theorem.
14² + b² = 15²
196 + b² = 225
Subtract.
b² = 29
Take the square root of b to get:
b = √29 cm
√29 ≈ 5.4 cm
The scatter plot shows the relationship between the test scores of a group of students and the number of hours they study in a week:
On a grid, Label Hours Studying on x axis and Test Scores on y axis. The title of the graph is Test Scores and Hours Studying. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 1.1, 10 and 2, 25 and 3.1, 10.1 and 4, 30 and 4, 45 and 5, 45 and 6, 25 and 6.5, 60 and 7, 45 and 7.5, 50 and 7.5, 75 and 8, 60 and 8.5, 75 and 9, 60. The ordered pair 1, 100 is circled and labeled as M. All the other points are put in an oval and labeled as N.
Part A: What is the group of points labeled N called? What is the point labeled M called? Give a possible reason for the presence of point M. (5 points)
Part B: Describe the association between students' test scores and the number of hours they study. (5 points)
Part A: The group of points labeled N is called a scatter plot. The point labeled M is an outlier.
Part B: The association between students' test scores and the number of hours they study is that as the number of hours students study increases, their test scores tend to increase as well.
What is scatter plot?A scatter plot is a type of graph that displays the relationship between two variables. It is often used to show how one variable is affected by another.
Part A: The presence of point M could be due to an error in recording data, or it could be due to an unusual event or circumstance that is not representative of the population.
Part B: This suggests that the more time students put into studying, the better their test scores will be. However, it is important to note that the graph does not necessarily imply that studying for more hours will necessarily lead to higher test scores, as the scatter plot also shows that there are other factors that could affect test scores.
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Part A: The group of points labeled N is called a scatter plot.
The point labeled M is called an outlier.
The presence of point M is likely due to the fact that the student studied for only one hour, yet achieved a perfect score
Part B: The association between students' test scores and the number of hours they study is that as the number of hours students study increases, their test scores tend to increase as well.
What is scatter plot?A scatter plot displays the relationship between two variables. It is often used to show how one variable is affected by another.
Part A: The group of points labeled N is called a scatter plot.
The point labeled M is called an outlier.
The presence of point M is likely due to the fact that the student studied for only one hour, yet achieved a perfect score.
Part B: The scatterplot shows a weak positive association between students' test scores and the number of hours they study.
As the number of hours studying increases, the test scores tend to increase, although there is considerable variability in this relationship. The outlier at 1, 100 indicates that there may be other factors other than study time that influence test scores.
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Hi help me with this question please : year 7 question
Solve for X
30=5(X+5)
X=?
The solution for X is 5. An equation is a mathematical statement that shows the equality of two expressions.
It typically consists of variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division.
To solve for X, we first need to distribute the 5 to the expression in parentheses:
30 = 5X + 25
Then, we can isolate the variable term by subtracting 25 from both sides:
5 = 5X
Finally, we can solve for X by dividing both sides by 5:
X = 5
Therefore, the solution for X is 5.
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Rose has less than $30 to spend on decorations for the school dance. She has already spent $5. Which number line shows how much money she could still spend on decorations
The correct answer is number line A. Number Line A shows that Rose has $25 remaining to spend on decorations. The number line shows that she has already spent $5, as indicated by the arrow pointing from 0 to 5.
What is Number Line?Number line is the visual representation of numbers on a straight line. These are often used to represent linear equations, as well as to learn basic mathematical concepts such as addition, subtraction, multiplication, and division.
The number line shows that she has a total of $30 available for decorations, as indicated by the arrow pointing from 0 to 30. Between the two arrows, it is clear that Rose has $25 remaining to spend on decorations.
Number Line B does not accurately represent Rose’s situation because the arrow pointing from 0 to 20 does not indicate that Rose has already spent $5. Number Line C does not accurately represent Rose’s situation because the arrow pointing from 0 to 25 does not indicate that Rose has a total of $30 available to spend.
To solve this problem, Rose needs to identify the total amount of money she has available to spend on decorations and the amount of money she has already spent. Once she has identified these two values, she can use a number line to represent her situation.
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What is 0.83333333333 as a fraction?
Answer: 41666666669 / 50000000003
Step-by-step explanation:
mixed in a drawer are blue socks, white socks, and gray socks. you pull out two socks, one at a time, without looking. find the probability of getting 2 socks of the same color.
The probability of getting 2 socks of the same color given by the following solution is 65/132.
Beginning with the first sock, we have three options: blue, white, or grey. If we wanted to know the likelihood of drawing only one blue sock, we might divide the number of blue socks in the drawer by the total number of socks (2 / 12).
We have three options for the second sock: blue, white, or grey. Keep in mind that we are drawing without replacement, so there is now one fewer sock in the drawer. Thus, with three alternatives for the first sock and three options for the second sock, the total number of combinations is three times three, or nine. The following are all of the potential combinations: (blue, blue), (blue, white), (blue, grey), (white, blue), (white, white), (white, grey), (white, blue), (white, white), (white, grey), (grey, blue), (grey, white) (gray, gray).
So the probability of 2 socks of the same color is, in equation form:
P(2 socks of same color) = P(blue sock first) * P(blue sock second) + P(white sock first) * P(white sock second) + P(gray sock first) * P(gray sock second).
= 2/12*1/11 + 4/12*3/11 + 6/12*5/11
= 65/132
Therefore, the probability of getting 2 socks of the same color 65/132.
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Complete question:
Mixed in a drawer are 2 blue socks, 4 white socks, and 6 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color.
choose one of the two boxes at random and select one of the balls in this box at random. if a blue ball is selected, what is the probability that this ball is from the second box?
Assume that the first box has 4 red balls and 3 blue balls and the second box has 5 red balls and 4 blue balls. the probability that this ball is from the second box is 12/55.
How to determine probabilityGiven that we need to choose one of the two boxes at random and select one of the balls in this box at random.
Let us assume that the first box has 4 red balls and 3 blue balls and the second box has 5 red balls and 4 blue balls.
Let the probability of selecting a blue ball from the first box be P(A) = (3/7)
Let the probability of selecting a blue ball from the second box be P(B) = (4/9)
So, the probability of selecting a blue ball is:
P(A) + P(B) = (3/7) + (4/9)= (27+28)/63= 55/63
If we have chosen a blue ball, then the probability that it is from the second box will be:
P(B|A) = P(B∩A) / P(A)P(B∩A) = P(A) × P(B|A) = (3/7) × (4/9) = 12/63
So, the probability that the blue ball is from the second box is:
P(B|A) = P(B∩A) / P(A)= (12/63) / (55/63)= 12/55
Therefore, the probability that this ball is from the second box is 12/55.
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At an assembly there are 225 chairs in 15 rows how many chairs are there Perot
An assembly has 225 chairs in 15 rows and there are 15 chairs per row in the assembly.
To find the number of chairs per row in an assembly, we need to divide the total number of chairs by the number of rows.
Given that there are 225 chairs in 15 rows, we can find the number of chairs per row by dividing the total number of chairs by the number of rows:
225 chairs ÷ 15 rows = 15 chairs per rows
It's important to note that this assumes that each row has the same number of chairs. If the number of chairs per row varies, then the calculation would need to be adjusted accordingly.
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