You have 8 marbles: 5 purple, 2 orange and 1 blue. You select a marble without looking at it then put it back. If you do this 48 times, what is the best prediction possible for the number of times you will pick an orange or blue marble?
Write a proportion to solve this problem.
The number of times we will pick an orange or blue marbles = 1/768
What is probability?The term probability refers to the possibility of happening an event. It is the ratio of favorable outcome to the total possible outcome.
What is the probability of picking an orange or blue marble?Available marbles = 8
purple marbles = 5
orange marble = 2
blue marble = 1
probability of picking an orange marble = 2/48 = 1/16
as the marble is put back each time after picking up so
the probability of picking a blue marble = 1/48
Now we multiply the probabilities of each individual events = 1/16 × 1/48
the proportion = 1/768
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Which of the following pairs of triangles can be proven similar through SSS similarity?
Answer:
C
Step-by-step explanation:
There are 3 pairs of corresponding sides with proportional lengths.
Which equation correctly shows that (x^2)^4=x^8
Number 4 is the correct answer
Solution:
Using law of exponent:
x^2*x^2*x^2*x^2 is the same as x^(2+2+2+2)= x^8
Is there a triangle whose sides are of length 2cm 3cm and 5cm?
Yes, there is possibility to construct a triangle whose sides are 2 cm, 3 cm and 5 cm.
According to the SSS or side-side-side rule of triangle, the sum of any two sides of triangle should be greater than third side of triangle. Assuming the side a to be 2 cm, side b to be 3 cm and side c to be 5 cm.
Side a + side b > side c
2 + 3 > 5
Performing addition on Left Hand Side of the equation
5 = 5
Side b + side c > side a
3 + 5 > 2
Performing addition on Left Hand Side of the equation
8 > 2
side c + side a > side b
5 + 2 > 3
Performing addition on Left Hand Side of the equation
7 > 3
Thus, we see the sum to be greater in two situations. Hence, the triangle is possible.
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I need help on filling in the blanks for these shapes
The complete triangle congruence statement are:
a) ∠A ≅ ∠Y, ∠B ≅ ∠Z, ∠C ≅ ∠X
b) AB ≅ YZ, AC ≅ XY, BC ≅ XZ
c) ΔABC ≅ ΔXYZ.
What is the congruent triangle?
The triangles are congruent regardless of how they are rotated or flipped. The symbol “≅” is frequently used to express the congruence of two items. In the diagram given, ΔABC ≅ ΔXYZ.
The corresponding angles and the sides of the triangles are also congruent with each other.
We have given,
all the corresponding congruent angles and sides. Then the triangle congruence statement.
a)
∠A ≅ ∠Y
∠B ≅ ∠Z
∠C ≅ ∠X
b)
AB ≅ YZ
AC ≅ XY
BC ≅ XZ
c)
ΔABC ≅ ΔXYZ.
Therefore, the complete triangle congruence statement are:
a) ∠A ≅ ∠Y, ∠B ≅ ∠Z, ∠C ≅ ∠X
b) AB ≅ YZ, AC ≅ XY, BC ≅ XZ
c) ΔABC ≅ ΔXYZ.
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The sides of a triangular field are 65m, 156m and 169m. The length of the shortest altitude is
The shortest altitude is 60m when the base of the triangle is 169m.
What is altitude?Altitude, height, or depth are terms used to describe the distance between a point or object and a reference datum. This phrase is also occasionally used to describe depth.
Different reference points and definitions are employed depending on the context (e.g., aviation, geometry, geographical survey, sport, or atmospheric pressure). Altitude can also be used to describe a location's height above sea level, though elevation is more frequently preferred in geography.
Let, a = 65cm , b = 156cm , and c = 169cm
The Area of a triangle = A = √s(s−a)(s−b)(s−c) s ( s − a ) ( s − b ) ( s − c )
s = (65cm + 156cm + 169cm)/2
s = 195cm
A = √195(195−65)(195−156)(195−169)
A = 5070 m²
Now we find the height of each case
[tex]$ \text h = 2\frac{\text A}{\text {base}}[/tex]
Substitute each base a, b and c
[tex]$ \text h = 2\frac{5070}{ 65}[/tex]
h = 156
height of triangle when base is 65m = 156m
[tex]$ \text h = 2\frac{5070}{ 156}[/tex]
h = 65
height of triangle when base is 156m = 65m
[tex]$ \text h = 2\frac{5070}{ 169}[/tex]
h = 60
height of triangle when base is 169m= 60m
Thus, the shortest altitude is 60m when the base of the triangle is 169m.
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please help I will give brainlist if you give me the correct answer.
Answer:
A'(2,1) => A(1,-2)
B'(-4,-2) => B(-2,4)
C'(-4,-6) => C(-6,4)
D'(-1,-3) => D(-3,1)
Step-by-step explanation:
:)
Help and explain please
The function y = 0.4(1.06)^t represents exponential growth function and rate of change is 6%.
What is exponential growth function?A function called exponential growth depicts population growth that happens consistently over time. You can assume that data increases exponentially when populations double or triple in size.
Exponential decay, which occurs when data contracts rather than expands, is the opposite of exponential growth.
A function of the form [tex]y=a(1 - r)^t[/tex], where a > 0and 0 < r < 1, is an exponential decay function.
A function of the form [tex]y=a(1 +r)^t[/tex], where a > 0 and r > 0, is an exponential growth function.
As 1.06 > 1,
y = 0.4(1.06)^t is an exponential growth function and the
growth factor = 1 + r
= 1 + 0.06
Percent rate of change = 0.06
= 6/100 × 100%
= 6%
Thus, the function y = 0.4(1.06)^t represents exponential growth function and rate of change is 6%.
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how to write 9/15 in simplest form
Answer: 3/4 is the simplest form
Step-by-step explanation:
your welcome <3
13/6=y/3 I need to know how to solve it
On solving the provided question, we can say that in this equation, we can solve by , 13/6=y/3 = > y = 39/6 = 6.5
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
in this equation,
we can solve by
13/6=y/3
y = 39/6 = 6.5
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A package of 3 pairs of insulated socks costs $21.87. What is the unit price of the pairs of socks ?
Answer: 7.29
Step-by-step explanation: you divide the total cost which is 21.87 by 3 to get how much one pair of socks would be and that would be the unit price hope this helps
Is 3x² a polynomial?
Answer: Yes and no?
Step-by-step explanation: Yes, because since it is one single number, it would be considered a "linear" polynomial. But no, because since there is only one term, it wouldn't be considered a polynomial.
I only just learned about linear polynomials, so I think the safe answer would just be no, since there is only one term.
please help
What are the steps for using a compass and straightedge to construct a square?
Drag the steps and drop them in order from start to finish.
The steps for using a compass and straightedge to construct a square are as follows :-
1. Use a straightedge to draw line a and label a point on the line as point P.
2. Construct a line perpendicular to line a through point P.
3. Label a point on this line as point R.
4. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PR←→.
5. Label the points of intersection as points S and T.
6. Keeping the same compass width, place the compass on point T and draw an arc in the interior of∠SPT to intersect the previously drawn arc.
7. Label the point of intersection as point Q.
8. Without changing the compass width, place the compass point on point S and draw an arc in the interior of∠SPT .
9. Use the straightedge to draw QS ,QT,SR and RT.
What is a square?In geometry, a square is a plane figure with four equal sides and four right angles (90°). A square is a special kind of parallelogram as well as an equilateral rectangle.
A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.
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What is the reason for each step in the solution of the equation?
18−2x=4x
Drag and drop the reasons into the boxes to correctly complete the table.
Answer: 1. Given
2. Combine like terms
3. Division
A florit ha 55 flower he want to put the ame number of flower in each vae without a leftover. Hould he put 2,3 or 5 flower in each vae?
As per the combination method, if we take 5 vases, then we can put 11 flowers on each of them then we have the given combinations.
Here we have given that the florist has 55 flower and then he want to put the them in the same number of flower in each vase without a leftover.
Here we need to find the number of ways to put them as 2,3 or 5 flower in each vase.
If we take 2 vase, then here we have total number of 55 flower, then it can be separated as,
Here we have to take 25 flowers on first vase and then we have to put the remaining 30 flowers on the second vase because here we have taken one 2 vase.
Then the partition can be written as
=> 25 + 30
If we take 3 vase, then we get the following combination on it.
In the similar way here we have take the 3 vases, and then we have to divide the flowers in the following manner,
=> 25 + 15 + 15
Similarly, if we take 5 vases, then we can put 11 flowers on each of them then we have the given combinations.
Then if we take the 5 vases then we have to put the flowers in the following manners,
=> 11 + 11 + 11 + 11 + 11
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Find measurement of V.
The measurement of V can be calculated by adding the two equations: 10x-27 + 2x+29 = V. This simplifies to 12x+2 = V, so V = 12x+2.
Find measurement of V?In order to find the measurement of V, we must first find the value of X.We can do this by solving the equations for Y and W simultaneously.To do this, we must first subtract the equation for W from the equation for Y.This will give us 10x - 2x = 29 - 27, or 8x = 2.We can then divide both sides by 8 to get x = 1/4. Now that we have the value of X, we can substitute it into either of the original equations to find the value of V.If we substitute 1/4 into the equation for Y, we get V = (10 x 1/4) - 27 = 10/4 - 27 = -17/4.Therefore, the measurement of V is -17/4.V is the difference between the two expressions: Y and W. Therefore, V can be found by subtracting W from Y.Y=(10x-27)
W=(2x+29)
V=Y+W
V= 10x-27 + 2x+29
V= 12x+2.
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5 Andrew saves the same amount of money each week. The table shows the amount he saves in different numbers of weeks. How much money does Andrew save in 40 weeks? Show your work. Week 7 9 11
Answer:
hw could make 200 dollars in 4 weeks
what number should be added to 8000 to make it a perfect square
Answer:
100
Step-by-step explanation:
If we add 100 to 8000, get 8100 which is a perfect square: 90^2=8100
A model rocket is launched 25 feet from you.When the rocket is at height h, the distance d between you and the rocket is given by d=\sqrt{625+h^2} where h and d are measured in feet. What is the rocket’s height when the dust between you and the rocket is 100 feet? around to the nearest hundredth.
The rocket’s height to the nearest hundredth when the distance between you and the rocket is 100 feet is equal to 96.83 feet.
How to calculate the amount of rocket’s height?Based on the information provided, the height h (in feet), of this rocket during its launching with respect to distance d between you and the rocket can be modeled by this quadratic function:
d(h) = √(625 + h²)
Substituting the given parameters into the quadratic function d(h), we have the following;
d(h) = √(625 + h²)
100 = √(625 + h²)
Taking the square of both sides of the quadratic function, we have the following:
100² = [√(625 + h²)]²
10,000 = 625 + h²
Rocket’s height, h² = 10,000 - 625
Rocket’s height, h² = 9,375
Rocket’s height, h = √9,375
Rocket’s height, h = 96.83 feet.
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Which division expression shows 3/4
a. 43 div 34
b. 3 div 4
c. 4 div 3
d. 4 x 3
The division expression that shows 3/4 is b. 3 div 4
How to explain the expression?It is vital to note that in Mathematics, an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.
Un this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, division, etc.
In this case, 3/4 simply means 3 divided by 4. Therefore, the correct option to illustrate this is B.
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For your chemitry experiment, you are trying to keep the water temperature at 35 degree Celiu, For the experiment to work properly, the actual temperature can vary by a much a 1%. Write and olve an abolute value inequality to find the acceptable temperature of the water
An absolute value inequality for 35 degrees C with the temperature able to vary as much as 1% is 34.65 ≤ x ≤ 35.35
The term inequality is defined as a relationship between two expressions or values that are not equal to each other
Here we have given that in your chemistry experiment, you are trying to keep the water temperature at 35°C.
And in the experiment to work properly, here the actual temperature can vary as much as 1%.
Here let us consider that x refers the actual temperature
Then it can be written as,
=> 1% of 35
When we simplify this one then we get,
=> 0.01(35) = 0.35
Here let us consider that the value is less that the simplified version, then it can be written as,
=> l x - 35 l ≤ 0.35
Therefore, it can be rewritten as,
=> -0.35 ≤ x - 35 ≤ 0.35
When we simplify this by add the value 35, then we get the resulting inequality as,
=> 34.65 ≤ x ≤ 35.35
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What is the difference between real and imaginary numbers?
Real numbers and imaginary numbers are distinguished because real numbers have real square roots whereas imaginary numbers do not.
Why do you use the terms "real" and "imaginary"?A real number in mathematics is the sum of all whole, natural, and integer numbers, both rational and irrational. A number line cannot show an imaginary number since it is not a real number.In mathematics, real numbers and imaginary numbers are distinguished because real numbers have real square roots whereas imaginary numbers do not. A number is multiplied by itself when it is squared. The same reasoning that is used to build zero is also used to construct this.Real numbers are all decimal, fractional, and both negative and positive integers that do not contain imaginary numbers.To learn more about imaginary numbers refer to:
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4) Write a system of equations to describe the situation below, solve using substitution, and
fill in the blanks.
◄)) Two classmates got together over the weekend to do their assigned History reading.
Olivia can read 3 pages per minute, while Donald can read 4 pages per minute. When they
met, Olivia had already read 22 pages, and Donald had already gotten through 12 pages.
After a while, they had both read the same number of pages. How long did that take? How
many pages had each one read?
◄) After _ minutes, Olivia and Donald had each read _
pages.
It took 19 minutes for each to read 115 pages.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables , constants and exponents.
Let x be the number of minutes
And y be the number of pages.
y = 96 + x --equation1 (for danielle )
y=39+4x --equation2 (for lorenzo)
By substituting equation 1 in equation 2.
we get,
96+x = 39 + 4x
96-39+x = 39-39+4x
57+x = 4x
4x-x = 57
3x = 57
x = 57/3
x = 19 .
Substitute x = 19 in equation 1 we get y = 96 + 19 and y=115
in equation 2 we get , y = 39 + 4*19
y = 39+76
y = 115
Hence , it took 19 minutes for each to read 115 pages.
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7/9 + 5/6=???
I’m rushing to finish this I forgot to do it and I can’t figure it out!
Answer: 29/18 or 1 11/18
Step-by-step explanation: When adding fractions, you need the fractions to have a common denominator. In order to get the common denominator, find the lowest common number between 9 and 6. That number is 18.
7/9 times 18 = 14/18 5/6 times 18 = 15/18 14/18 + 15/18 = 29/18
Improper fraction: 29/18 Mixed number: 1 11/18
What is the distance between the graph of the equations x =- 4 and x =- 1?
The distance between the graph of the equations x =- 4 and x =- 1 is 3 units.
The equations x =- 4 and x =- 1 can be solved to be -4 and -1 respectively. The difference between these two numbers is 3, so the distance between the graphs of the equations is 3 units.
The distance between the graph of two equations can be found by subtracting the solutions of the two equations. For example, when subtracting the solution of x =- 4 and x =- 1, the difference between -4 and -1 is 3. Therefore, the distance between the graphs of the equations x =- 4 and x =- 1 is 3 units.
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Joe has to take two quizzes tomorrow. He has only enough time to study for
one of them.
• The science quiz has 7 true-or-false questions.
• The English quiz has 4 multiple-choice questions.
Joe calculates the probability that he will get each question correct by
guessing.
Science
English
To get 100%
correct:
Answer 7 of 7
correctly
Answer 4 of 4
correctly
P(guess is
correct)
0.5
0.25
Joe will study for the quiz on which he is likely to do worse by guessing.
Which quiz should he study for?
Answer:
english
Step-by-step explanation:
because by guessing he could only get 1 right on english quiz
Joel should study for science, because the probability of getting all questions correct is 0.004 which is less than 0.016.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Joe has to take two quizzes tomorrow.
He has only enough time to study for one of them, such that the science quiz has 7 true-or-false questions and
The English quiz has 4 multiple-choice questions.
We have to find the probability that he will get each question correct by guessing.
P(sciene)=0.5⁸
=0.0039
=0.004
P(English)= 0.25³
=0.0156
=0.016
As we know that 0.0156>0.0039
Hence, Joel should study for science, because the probability of getting all questions correct is 0.004 which is less than 0.016.
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please help i need to get this done i asked everyone i could
QUICK WILL MARK BRAINLIEST !!! 50 POINTSS!! please solve this porblem i need to know tge range and ordered pair
The range:{-8, 4, 10} and the function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}
What is ordered pair?A pair of numbers in a certain order is called an ordered pair. Ordered pairs include, for instance, (1, 2) and (-4, 12). The two numbers' relative placement is crucial: (2) is not equal to (1, 1) (2, 1) — (1, 2)≠(2, 1). (2, 1).
When displaying two variables, ordered pairs are frequently used. By writing (x, y) = (7, - 2), we indicate that x = 7 and y = -2. The terms "x-coordinate" and "y-coordinate" refer to the number that relates to the value of x and the value of y, respectively.
The, function is given as y = 3x - 2
Lets put this in graph
Domain: {-2, 2, 4}
put the x values in function
y = 3(-2) - 2
y = −8
y = 3(2) - 2
y = 4
y = 3(4) - 2
y = 10
Range: {-8, 4, 10}
The function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}
Thus, the range:{-8, 4, 10} and the function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}
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Victoria invests money in an account paying a simple interest of 7.2% per year. If she invests $20 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
The amount that Victoria will have in one year if she invests $20 at 7.2% simple interest is $21.44.
What is the simple interest?The simple interest system does not compound the interest.
This statement implies that interest is not computed on the accumulated interest. Periodically, the interest is computed on the principal, using the following simple interest formula:
Simple interest = Principal x Rate x Time
Simple interest rate = 7.2% per year
Investment = $20
Investment period = 1 year
Amount in account after 1 year = P + (P x R x T)
= $20 + ($20 x 7.2% x 1)
= $20 + $1.44
= $21.44
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Find the number of sides a regular polygon must have to meet each condition.
Each interior angle measure equals each exterior angle measure.
Each exterior angle measure is one eighth the measure of each interior angle.
Exterior angle of a regular n-sided polygon = 360°/n
Interior angle = 180° - 360°/n
So, with 360/n = (1/8)(180 - 360/n)
360/n = 180/8 - 360/(8n)
(360/n)*(9/8) = 180/8
2*9/n = 1
n = 18