An equation to represent the other lengths, X, of the triangle is 2X+7=23.
What is meant by an isosceles triangle?An isosceles triangle is one that has two equal-length sides in geometry. The term "equilateral triangle" can refer to a shape with either exactly two sides that are the same length or at least two sides that are the same length, with the latter definition containing the equilateral triangle as an exception. The faces of bipyramids and a few Catalan solids are examples of isosceles triangles, as are the isosceles right triangle, the golden triangle, and others.
Isosceles triangles have been the subject of mathematical research since the time of the Babylonians and the Egyptians.
Given,
Perimeter of an isosceles triangle=23 meters
The base of a triangle=7 meters
P=2X+b
2X+7=23
Therefore, an equation to represent the other lengths, X, of the triangle is 2X+7=23.
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Question in picture. Please answer quickly
Answer: [tex]\frac{2\sqrt{2}-1 }{2}[/tex]
Step-by-step explanation:
1. multiply both the numerator and denominator by [tex]2\sqrt{2}[/tex]
2. distribute on the top to get [tex]8\sqrt{2} - 4[/tex] ([tex]\sqrt{2} *\sqrt{2}[/tex] equals 2)
3. multiply the bottom to get 8
4. after getting [tex]\frac{8\sqrt{2}-4 }{8}[/tex], factor out a 4 from each term to get [tex]\frac{4(2\sqrt{2}-1)}{4(2)}[/tex]
5. the fours will cancel and the answer will be [tex]\frac{2\sqrt{2}-1 }{2}[/tex]
Create the equation of a parabola with no x-intercepts.
Answer:
Step-by-step explanation:
No x intercept means it can't touch the x axis y=x^{2}+1 does the trick since it moves the whole thing up one unit
~Describe the transformation, by giving the coordinate rule.
8.) (x,y) --> (________,________)
Answer:
(x+3, y-3)
Step-by-step explanation:
What value for a in the system of equations below would yield no solutions for the system? Explain how you obtained your answer.
ax+12y=−6
2x−6y=4
a=
The value of 'a' in the system of equations will be;
⇒ a = - 4
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equation are;
⇒ ax + 12y = - 6
⇒ 2x - 6y = 4
Now,
By the condition of No solution for the system, we get;
⇒ a / 2 = 12 / - 6
⇒ a / 2 = - 2
⇒ a = - 4
Thus, The value of 'a' in the system of equations will be;
⇒ a = - 4
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X-Y=4
-2X+6(4-X)=3
-8X+24=3
-24 -24
-8X=-21
X=21/8
Y=11/8
(21/8,11/8)
find the error in the problem.
Answer: You did wrong at Y=11/8! It should be -11/8, not positive 11/8
Step-by-step explanation:
You solved it all right; just the y is wrong! The reason why y is -11/8 is that a negative and a negative will make a positive, and add an x positive, and you will get a positive answer. If y is negative, the answer would be negative!
Rebecca ran 12 1/4 miles in 2 1/2 hour. What was her average speed in miles per hour?
a. 4.9 mph
c. 30.625 mph
b. 4.8 mph
d. 5.5 mph
Answer: A
Step-by-step explanation: Divide your miles by hour hours:
12.25/2.5 = 4.9
Her average speed was 4.9 miles per hour
Find the area of the rhombus.
5m,10m,5m, and 10m
Please show your work.
The area of rhombus is 100m²
What is rhombus ?
A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.
A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.
A quadrilateral with four equal sides that has the shape of a diamond is called a rhombus. In everyday life, rhombus-shaped objects can be seen. In the illustration below, two instances of rhombuses in nature are shown: a diamond and a kite.
The area of rhombus is
A = pq / 2
The value of p is 10 and q is 20
A = (10 * 20) / 2
= 100m²
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Which word sentence represents the equation?
4y = y + 9
Responses
Four times a number plus 9 is 9.
Four times a number plus 9 is 9.
Four times a number equals the number increased by 9.
Four times a number equals the number increased by 9.
Four increased by a number equals the number increased by 9.
Four increased by a number equals the number increased by 9.
Four times the sum of a number and 9 is the number.
Look at the equation. 5|x+3|-10=0 Select all the solutions to the equation.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x = 5
Step-by-step explanation:
Find the scale factor from figure B to A
let x = the scale factor
5x = 2 Divide both sides by 5
x = [tex]\frac{2}{5}[/tex] or .4
12.5 x .4 = 5
SHOW STEPS OF HOW YOU GOT YOUR ANSWER I WILL MARK BRAINLEST
an electronics store makes a profit of 30$ for every portable DVD player sold and 60$ for every DVD recorder sold. the manager’s target is to make at least 250 dollars a day on sales of portable DVD players and DVD recorders write an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target let p represent the number of portable DVD players and r represent the number of DVD recorders.
An inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target is 30p+60r≥250.
What is meant by inequality?An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is done in an unfair manner. On the number line, it is most typically used to compare the sizes of two numbers.
A and b are not equal in either situation. These interactions are recognized as robust inequalities.
Given,
Profit gained by selling portable DVD player=$30
Profit gained by selling portable DVD recorder=$60
Let,
The number of portable DVD player=p
The number of DVD recorders=r
And also given that,
The profit must be at least $250.
Therefore, 30p+60r≥250
Hence, an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target is 30p+60r≥250.
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Complete the given diagram by dragging expressions to each leg of the triangle. Then, correctly complete the equation Not all expressions will be used. Then correctly complete the equation to derive the distance, d.
What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:[tex]d^2=\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2[/tex].
What is graph?
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Note that the distance between two points is equal to the length of the line segment that joins them.
So now we already have answers for two of the boxes.
The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.
So, the other two boxes should contain:
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.Solve for x
x = 192
x = 336
x = 8√3
x = 4√21
We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.
What do you mean by Pythagoras Theorem?
The well-known Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle, states that the square on the hypotenuse (the side opposite the right angle) is equal to the square on the legs of a right triangle. Pythagorean Theorem is written as a2 + b2 = c2. Alternatively, the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.
CalculationFrom the given triangle using Pythagoras theorem,
Assume the triangle as ABC where AB=y BC=z and AC=28
D is the altitude from B and BD=x
AD=12 so CD=16
Now using Pythagoras theorem,
(y)2 = (12)2 + (x)2 - eq1
(z)2 = (x)2 + (16)2 -eq2
(y)2 + (z)2 =(28)2 -eq3
Substitute eq 1 and 2 in 3
⇒2(x)2 + (12)2 + (16)2 =(28)2
⇒(x)2 =192
∴x =8√3
We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.
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As part of an ongoing service project, the students at Allenville High School recently spent an afternoon planting trees. They planted an average of 8 trees per participant. Soon they plan to do some more planting, averaging 12 trees per participant. If everything goes as planned, what will be the percent of increase in the average number of trees planted?
Answer:
50% increase
Step-by-step explanation:
If we call the number of people x;
On the first afternoon, everyone plants 8x (Average 8 per person)
In the future, the plan to plant 12x trees (Average 12 per person)
From 12x to 8x is a 50% increase, (12/8 = 1.5)
Hope this helps,
:]
Why doe the Ditributive property make it eaier to multiply a 2 digit number the a 1 digit number
Distributive property make it easier to multiply a 2 digit number t0 a 1 digit number because by using distributive property we can multiply the number place of the two digit number by one digit number and inlast we can add it , which makes the whole process easier.
According to Distributive property it helps to solve the complex problems easily either they are of 2 digit or many more . Distributive property multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
In other words, according to the distributive property, an expression of the form A (B+C) can be solved as A (B+ C) = AB + AC.
This property applies to subtraction as well.
A (B –C) = AB – AC
For example :- 19 X 6
= 10 X 6 + 9 X 6
= 60 + 54
= 114
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Heather saved 15% buying concert tickets online. If the tickets are regularly $95, how much did Heather pay for them online?
Answer:
Step-by-step explanation:
$80.75 Your welcome
Answer:
$80.75 dollars
Step-by-step explanation:
15% of 95 is 14.25
95 - 14.25 = 80.75
The purple team is the only team with a clue at the angle that is an alternate exterior angle to ∠11, but not congruent to it. Which angle is this? Explain why the angle is not congruent to ∠11
What is the alternate exterior angle of ∠11?
[tex]\angle 1 \cong \angle 7 \text { and } \angle 4 \cong \angle 6[/tex]
The number of sides in the given polygon is, n=11 . The sum of all exterior angles is 360o .
An exterior angle of a triangle is created by extending one side of the triangle. The angle between the extended side and the side next to it is called an exterior angle.
What is a alternate exterior?
Alternate Exterior Angles: The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.
Look at the area above and below the crossed lines to find outside angles. Look at that outside area for each crossed line on different sides of the transversal to locate alternative outside angles. We assume you stated that the external angles are 1, 2, 7, and 8.
When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar.
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Round off to 3 decimal places.
55.7796 =
Given : 55.7796
To Find : rounded off to 3 decimal places
Solution:
55.7796
To round off to 3 decimal places need to check digit at
4th decimal place
if digit is 5 or greater than 5 then digit at 3rd decimal place has to be increased by 1 and all decimal places after that to be removed
if digit is less than 5 then digit at 3rd decimal place remains same and all decimal places after that to be removed
55.7796
Digit at 4th decimal place is 6 which is greater than 5
Hence digit at 3rd decimal place has to be increased by 1
9 + 1 = 10 Hence 1 to be carried forward to digit at 2nd decimal place
7 + 1 = 8
Hence number rounded off to 3 decimal places is
55.780
55.7796 rounded off to 3 decimal places is 55.780
Steven’ new cell phone plan charge a flat monthly fee of $24. The plan allow an unlimited number of text meage, but each minute (m) ued for phone call cot $0. 15. Which equation mot accurately repreent the monthly cot (c) of Steven’ phone bill baed on how many minute talked?
As a new cell phone plan charges a flat monthly fee of $24 and allows for an unlimited number of text messages, but charges $0.15 per minute (m) used for phone calls, the equation that will represent the problem is C=24+0.15m.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
Let m be the minutes talked on phone,
C=24+0.15m
The problem is represented by the equation C=24+0.15m since the new cell phone plan charges a fixed monthly fee of $24 and permits unlimited text messages, but each minute (m) utilized for phone calls costs $0. 15.
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What is the equation of the line that passes through the point (2, 6) and has a slope
of-1/2
The equation of the line is y = -1/2x + 7 which passes through the point (2, 6) and has a slope of -1/2.
What is the equation of a line?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. Key Point. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
The equation of a line that passes through the point (2, 6) and has a slope of -1/2 can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
To find the equation of the line, we can use the point-slope form of a line, which is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Substituting the values for the point and the slope into this equation, we get:
y - 6 = (-1/2)(x - 2)
y - 6 = -1/2x + 1
y = -1/2x + 7
Hence, The equation of the line is y = -1/2x + 7 which passes through the point (2, 6) and has a slope of -1/2.
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Michelle invests in a savings account that pays 5% interest compounded monthly. What is the APY for this account ?? (Round to the nearest 0.00%)
Only answer if you know!!
The account's APY is 5.12%.
Waht is APY.Annual Percentage Yield, or APY, is the rate that may be earned on an account over the course of a year and includes compound interest.
The annual percent yield, or APY, accounts for interest compounding. Because it takes into account the interest you earn on your money, it accurately reflects the interest rate you really receive on an investment.
Consider the previous illustration, where a $100 investment generates a 5% quarterly compounded return. On the $100, you receive interest throughout the first quarter. However, in the second quarter, you also receive interest on the $100 in addition to the first quarter's interest.
The APY (Annualized Percentage Yield) formula is:
APY = [tex](1+i/N)^{N} -1[/tex]
where, i = Nominal rate = 5%, N = Number of compounding periods = 12
putting the values in the above formula, we get,
APY = (1 + 5% / 12)^12 - 1
APY = (1 + 0.4167%)^12 - 1
APY = (1 + 0.0041667)^12 - 1
APY = (1.0041667)^12 - 1
APY = 1.051161897 - 1
APY = 0.051161 or 5.12%
The APY for this account 5.12%
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Diego’s family car holds 14 gallons of fuel. Each day the car uses 0. 6 gallons of fuel. A warning light comes on when the remaining fuel is 1. 5 gallons or less.
Diego says the expression 14-0. 6t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for?
In the given expression 14 - 0.6t, variable t represents the number of gallons of fuel used by the car each day.
Explain the term variable of the equation?A term which includes at least one variable number, symbolized by one or maybe more letters, in an arithmetic operation, equation, or inequality. A symbol (often a letter) used in mathematics to represent an unknowable numerical value in such an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.For teh stated question-
The gasoline capacity of Diego's family automobile is 14 gallons. The automobile takes 0. 6 gallons of fuel every day. In the event that there are only 1.5 gallons of fuel left, a warning light will turn on.In the given expression 14 - 0.6t, t represents the number of gallons of fuel used by the car each day.
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PLS HELP ME!!!! I RLLY CONFUSED!!! 100 PTS. NO SCAM ANSWERS T-T
Answer:
1. 2(x-2) = 2x -4 = -7 + 6x -4x +3
2. (x+14) - (8-2x) = 3x + 6 = 9x - 2(3x-3)
3. 3(x+5) = 3x + 15 = -2x + 9 + 5x + 6
4. -4(x+1) + 5x = x - 4 = (7-2x) + (3x -11)
5. (7 + 5x) + (-4x - 1) = 6 + x = -3x + 6 + 4x
Step by step:
For number 1:
2(x-2) = 2x - 4
-7 + 6x -4x + 3 = (-7 + 3) + (6x - 4x) = 2x - 4
For number 2:
(x+14) - (8-2x) = x + 14 - 8 + 2x = (14-8) + (2x + x) = 3x + 6
9x - 2(3x-3) = 9x - (6x - 6) = 9x - 6x +6 = 3x + 6
--
Have a nice day!!
Answer:
4
1
2
5
3
Step-by-step explanation:
we should simplify them first
we will keep the first column the same and call them by numbers 1-5 and the second column will be labled by letters A-E
1- 2(X-2)
2X-4
2- X+14-(8-2X)
X+14-8+2X
3X+6
3 - 3(x+5)
3x+15
4: -4(x+1)+5x
-4x-4+5x
x-4
5. (7+5x)+(-4x-1)
x+6
A: 7-2x+3x-11
x-4
A=4
B: -7+6x-4x+3
-7+2x+3
2x-4
B=1
C: 9x-6x+6
3x+6
c= 2
D: -3x+6+4x
x+6
D= 5
E-2x+9+5x+6
3x+15
E= 3
hopes this helps and im sorry for the mess i had to write a lot please mark brainliest
Jill made a New Year's resolution to learn how to play the cello. She bought an Introduction to
Cello class pack from the Purple Harp music shop, which covers the cost of 15 cello lessons.
She also paid $35 to rent a cello. In all, Jill paid $425.
Which equation can you use to find the cost, c, of each cello lesson?
A. 35(c +15) = 425
B. 15c + 35 = 425
C. 15(c + 35) = 425
D. 35c+15= 425
Answer: The correct equation to find the cost, c, of each cello lesson is: 15c + 35 = 425
Step-by-step explanation:
This equation represents the total cost of the cello lessons and the cello rental, which is 425 dollars. The cost of the cello lessons is represented by 15c, and the cost of the cello rental is represented by 35 dollars. By solving this equation for the variable c, we can find the cost of each cello lesson.
To solve this equation, we can use the following steps:
Subtract 35 from both sides of the equation: 15c = 425 - 35
Simplify the right side of the equation: 15c = 390
Divide both sides of the equation by 15: c = 390/15
Simplify the right side of the equation: c = 26
Therefore, the cost of each cello lesson is $26.
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
The orthogonal basis produced using the Gram-Schmidt process for W is[tex]y_1=\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right], y_2=\left[\begin{array}{c}5 \\1 \\-6 \\-1\end{array}\right][/tex]
What is orthogonal ?
The concept of orthogonality in mathematics is an extension of perpendicularity in geometry. By extension, the term "orthogonality" is also used to describe the division of particular system properties. The phrase also has specific applications in other disciplines, such as chemistry and painting.
[tex]$$x_1=\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right] \quad \text { and } \quad x_2=\left[\begin{array}{c}7 \\-7 \\-6 \\1\end{array}\right]$$[/tex]
Using Gram-Schmidt process to produce an orthogonal basis for W
[tex]$$y_1=x_1=\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right]$$[/tex]
Now we know [tex]$X_1, X_2$[/tex] and [tex]$Y_1$[/tex]
Lets solve for [tex]$Y_2$[/tex]
[tex]y_2=x_2-\frac{x_2+y_1}{y_1+y_1} y_1$$[/tex]
[tex]y_2=\left[\begin{array}{c}7 \\-7 \\-6 \\1\end{array}\right]-\frac{\left[\begin{array}{c}7 \\-7 \\-6 \\1\end{array}\right]\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right]}{\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right]\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right]}\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right][/tex]
[tex]\begin{aligned}y_2 & =\left[\begin{array}{c}7 \\-7 \\-6 \\1\end{array}\right]-\frac{7+28-0+1}{1+16+0+1}\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right] \\& =\left[\begin{array}{c}7 \\-7 \\-6 \\1\end{array}\right]-\frac{36}{18}\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right]\end{aligned}[/tex]
[tex]\begin{aligned}& =\left[\begin{array}{c}7 \\-7 \\-6 \\1\end{array}\right]-2\left[\begin{array}{c}1 \\-4 \\0 \\1\end{array}\right] \\& =\left[\begin{array}{c}7 \\-7 \\-6 \\1\end{array}\right]-\left[\begin{array}{c}2 \\-8 \\0 \\2\end{array}\right] \\y_2 & =\left[\begin{array}{c}5 \\1 \\-6 \\-1\end{array}\right]\end{aligned}[/tex]
Complete question: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for W. Assume the vectors are in the order bold x1 and bold x2
1 7
-4 -7
0 -6
1 1
The orthogonal basis produced using the Gram-Schmidt process for W is:__________. (Use a comma to separate vectors as needed.)
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Solve
(type and ordered pair. type an exact answer, using radicals and i as needed, use a comma to separate answers as needed)
Two ordered pairs 45 is x^2 + y^2, 12 is x - y.An ordered pair is made up of the x (abscissa) and y (ordinate) coordinates, with two values stated in a certain order inside parenthesis.
An ordered pair can be found in what way?A pair of ordered numbers contains one point's coordinates in the coordinate system. Using its ordered pair in the form of, a point is given a name (x, y). X and Y coordinates are represented by the first and second numbers, respectively. Using the coordinates of the ordered pair, you can graph a point by placing a dot there.An ordered pair is made up of the x (abscissa) and y (ordinate) coordinates, with two values stated in a certain order inside parenthesis.Think about the following two ordered pairs: (c, d). If (a, b) = and (a, b) = (c, d), they are equivalent (c, d).Explanation:
45 = x^2 + y^2,
12 = x - y.
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You are presented with a deck of 20 cards, numbered from 1 to 20 and can draw one card. If the number is odd, you win $22. If the number is even, you win nothing. If you play the game, what is the expected payoff?
Answer:
$220
Step-by-step explanation:
Because, from 1 to 20 there are 10 odd numbers (1, 3, 5, 7, 9, 11, 13, 15, 17, 19) so it is said that for one odd number you win $22, as for 10 odd numbers, that is $22 x 10 which is $220
find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.
The probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles = 0.0111
In this question we need to find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.
Total marbles in tha bag
= 3 green marbles + 3 yellow marbles + 4 red marbles
= 10 marbles
the probability of drawing one marble from a bag,
P1 = 1/10
Now there are 9 marbles in the bag.
So, the probability of drawing second marble would be,
P2 = 1/9
So, the required probability of drawing two marbles (without replacement) from a bag would be,
P = P1 * P2
P = 1/10 * 1/9
P = 1/90
P = 0.0111
Therefore, the probability of drawing two marbles (without replacement) from a bag = 0.0111
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Use compatible numbers to estimate the correct quotient.
Answer:
60
Step-by-step explanation:
900 divided by 15 is 60
A chool taff meeting had 60 teacher in attendance, 30% of whom were firt-year teacher. How many firt-year teacher were in the meeting?
18 first-year teachers were in the meeting.
In this question, we have been given that a school staff meeting had 60 teachers in attendance, 30% of whom were the first-year teachers.
We need to find the number of first-year teachers present in the meeting.
Let x be the number of first-year teachers present in the meeting.
As 30 percent of school staff are the first-year teachers, we need to find the 30 percent of 60.
Using the formula of percentage,
x = 60 * (30/100)
x = 18
Therefore, the number of first-year teachers present in the meeting = 18
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