Answer: A random variable.
Step-by-step explanation:
a numerical description of the outcome of an experiment is called a random variable.
The annual rate of growth in population of a certain city is 8%. If its present population is 1,96,830 then what was the population three years ago?
Answer: The population three years ago was 156250.
Step-by-step explanation:
Let 3 years ago, the population of a city = P
Rate of growth (R) = 8% p.a.
Present population (P) = 1,96,830.
Therefore,
[tex]A=P(1+R100)n[/tex]
P = A÷(1 + 8/100)³
196830 ÷ (1+2/25)³
=156250.
3 years ago, the population of the city = 156250.
What is the area of this figure?
Answer:
24
Step-by-step explanation:
Rect = 3*4 = 12
Rect 2 = 1*6 = 6
Triangle = (6-3)*1/2*4 = 6
6 + 6 + 12 = 24
What is infinite algebra 1?
Infinite Algebra 1 is a software program developed by the company Kuta Software that provides an online resource for teaching and learning algebra 1.
It offers a comprehensive collection of algebra 1 problems and exercises that cover a wide range of topics such as linear equations, systems of equations, inequalities, polynomials, factoring, and graphing.
The program includes features such as an interactive equation editor, step-by-step solutions, and the ability to generate customized worksheets and assessments.
It is designed to provide students with a self-paced and adaptive learning experience that allows them to practice and reinforce their understanding of algebraic concepts. Infinite Algebra 1 is widely used in schools and educational institutions as a tool for teaching and practicing algebra 1.
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Use substitution to solve the following system of equations. Show all of your work. Write the solution as an ordered pair.
4x+2y=36
y=2x-2
Using the substitution to solve the following system of equations, 4x+2y=36
y=2x-2 we get value of x as 5 and y is equal to 8.
There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.
We have two equations as,
4x+2y=36
y=2x-2
Substituting the value of y = 2x - 2 in the equation 1 we get,
4x + 2(2x - 2) = 36
4x + 4x - 4 = 36
8x = 36 + 4
8x = 40
x = 5
And y = 2 x 5 - 2 = 8
Therefore, the value of x is 5 and y is 8.
The algebraic approach for solving simultaneous linear equations is the substitution method. The value of one variable from one equation is substituted in the second equation, as the name implies. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly. Before beginning to solve linear equations using the substitution approach, learn about the algebraic and graphical methods.
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PLEASE HELP!!!
There are 87 marbles in a bag and 68 of them are green. If one marble is chosen, what is the probability that it will be green?
Probability =
specific: green (68)
total: all (87)
= 68 ÷ 87 = 0.781609...
Watch the instructions carefully to determine how many decimals places to round, or if the number should be converted to a percent. In the example above, if we round to two decimal places, we get 0.78.
Review
Directions: Use the Spinner to answer questions 1-6.
THE SPINNER IS AT THE BOTTOM OF THE PAGE!!!
1) In which color, is the pointer more likely to land?
2) In which color, is the pointer less likely to land?
3) In which colors, is the pointer equally likely to land?
4) What is the chance the pointer will land on white?
a) More likely b) less likely c) equally likely d) unlikely
5) Is any color certain?
6) If green is replaced by blue, which colors have equally likely chances?
7) There are 5 white balls, 8 red balls, 7 yellow balls, and 4 green balls in a container. A ball is chosen at random. What is the probability of choosing red?
8) What is the probability of choosing green?
9) What is the probability of choosing either red or white?
10) What is the probability of choosing neither white nor green?
11) What is the probability of choosing other than yellow?
12) What is the probability of choosing black?
13) A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.
14) Find the probability of drawing a red card.
15) Find the probability of drawing a red or black.
16) Find the probability of drawing an ace.
17) Find the probability of drawing either a jack or queen or king.
Challenge: Create three probability application problems of your own. Solve your problems. Explain your answers.
18)
19)
20)
Answer:32222
Step-by-step explanation: i dont really think thats the answer, i just did it for the points
what is big number calculator?
A big number calculator is a software application or program designed to perform arithmetic operations on large numbers that cannot be easily handled by standard computer hardware and software.
Big numbers are typically defined as numbers that are too large to be stored in the registers or memory of a typical computer processor.
In a big number calculator, arithmetic operations such as addition, subtraction, multiplication, and division are performed using algorithms that are specifically designed to handle large numbers. These algorithms may use techniques such as long division, long multiplication, and other mathematical strategies to perform the required computations.
Big number calculators are often used in scientific and engineering applications where very large numbers are encountered. They can also be useful in cryptography, where large prime numbers are used for encryption and decryption operations.
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Philippe is 13 years old and his father is 4 times older. In how many years will the father's age be twice the age of his son?
13×4=52
Ok Multiplacation is a simple Math formula everyone can do so you have to do this:
13+13+13+13=52
Now do this:
13×4=52
Answer is 52
Jay's unpaid credit card balance is $3390.88. His APR is 18.6%. What is his new balance if he made one new transaction of $128?
Jay's new balance if he made one transaction of $ 128, given the credit card balance is
How to find the new balance ?To find the new balance, you first need to find the interest on the old balance by the formula :
= 3, 390.88 x 18. 6 % / 12 months per year
= $ 52. 56
Jay's new balance is :
= Old balance + Interest + New transaction
= 3, 390. 88 + 52. 56 + 128
= $ 3, 571. 44
The new credit card balance is $ 3, 571. 44.
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which of the following is the factored expression of 20+16
The factored expression of 20 + 16 is 4 (5 + 4).
What is factored form?Factoring is the process of representing a given number or algebraic statement as the sum of its components.
A relevant strategy is used, depending on the situation, to identify the components.
Locating GCD (Greatest Common Divisor)
It is possible to factor an equation where every term has GCD 0 by eliminating GCD as a common component.
Employing Identity
The given expression is:
20 + 16
20 can be written as 4(5).
16 can be written as 4(4).
20 + 16 = 4(5) + 4(4)
Taking the common term out we have:
20 + 16 = 4 (5 + 4)
Hence, the factored expression of 20 + 16 is 4 (5 + 4).
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the function f is continuous and ∫80f(u)du=6. what is the value of ∫31xf(x2−1)dx?
Using integration by substitution, the value of ∫31xf(x^2-1)dx is 6.
What is the value using integration by substitutionTo solve this problem, we can use integral by substitution.
Let's set u = x^2 - 1, then du/dx = 2x, or dx = du / (2x).
Using this substitution, we can rewrite the integral as:
∫(3^2-1)^(8^2-1) f(u) * (du / 2)
Next, we can use the fact that f is continuous and the integral of f from 8 to 0 is 6. We can split the integral into two parts:
∫(3^2-1)^(8^2-1) f(u) * (du / 2) = ∫0^(8^2-1) f(u) * (du / 2) - ∫0^(3^2-1) f(u) * (du / 2)
The first integral on the right-hand side is the integral we're given:
∫0^(8^2-1) f(u) * (du / 2) = 6
The second integral can be rewritten using our substitution:
∫0^(3^2-1) f(u) * (du / 2) = ∫(3^2-1)^(0) f(u) * (du / 2)
Notice that we've switched the limits of integration, which means we need to negate the integral:
∫(3^2-1)^(0) f(u) * (du / 2) = -∫0^(3^2-1) f(u) * (du / 2)
Substituting back into our original integral and using these results, we get:
∫(3^2-1)^(8^2-1) f(u) * (du / 2) = 6 - (-∫0^(3^2-1) f(u) * (du / 2)) = 6 + ∫0^(3^2-1) f(u) * (du / 2)
Finally, we can substitute back in for x and simplify to get our answer:
∫31xf(x^2-1)dx = (1/2) * ∫(3^2-1)^(8^2-1) f(u) * du = (1/2) * (6 + ∫0^(3^2-1) f(u) * du) = (1/2) * (6 + ∫0^8 f(u) * du) = (1/2) * (6 + 6) = 6
∫31xf(x^2-1)dx = 6.
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The system of equations below represents the amount in dollars that Brianna paid for 5 paint brushes and 3 art canvases and Ahmed paid for 10 paint brushes and 6 art canvases. {5x+3y=4710x+6y=94 Did Brianna and Ahmed pay the same price for the items?
There is a solution to the system of equations, and Brianna and Ahmed paid the same price for the items.
What is the system of equations?
A system of equations is a set of one or more equations that are to be solved simultaneously. The solution to a system of equations is the set of values for the variables that satisfy all the equations in the system.
In this case, the system of equations represents the amount that Brianna and Ahmed paid for 5 paintbrushes and 3 art canvases, and 10 paintbrushes and 6 art canvases, respectively. The system of equations is:
5x + 3y = 47 (Brianna's purchase)
10x + 6y = 94 (Ahmed's purchase)
To determine whether Brianna and Ahmed paid the same price for the items, we can compare the value of x and y that satisfy both equations. To do this, we can solve the system of equations using any method we prefer, such as elimination or substitution. Here, we'll use the method of substitution:
From the first equation, we can solve for y in terms of x:
5x + 3y = 47
3y = 47 - 5x
y = (47 - 5x)/3
Substituting this expression for y into the second equation, we get:
10x + 6y = 94
10x + 6((47 - 5x)/3) = 94
Simplifying, we get:
10x + 94 - 10x = 94
94 = 94
This equation is always true, regardless of the value of x.
Therefore, there is a solution to the system of equations, and Brianna and Ahmed paid the same price for the items.
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A farmer sells 6.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer: 3.1 kg
Step-by-step explanation:
Total amount sold of apples and pears = 6.6 kg
Of that 6.6 kg, 3.5 kg is the weight of the apples.
Subtract the weight of the apples from the total weight of the apples and pears.
6.6 kg (total weight) - 3.5 kg (weight of apples) = 3.1 kg (weight of pears)
The height (h) of an object thrown from the top of a ski lift 2308 feet high after (t) seconds is h= - 16t² +32t+2308.
For what times is the height of the object at least 1300 feet?
The height of the object is at least 1300 feet from _______ seconds to _______ seconds.
The height of the object is at least 1300 feet after 9 seconds. The solution has been obtained by solving the algebraic equation.
What is algebraic equation?
A mathematical expression is said to be "algebraic" if it includes variables, constants, and algebraic operations (addition, subtraction, etc.). The expression has to satisfy the algebraic equation and have the equals sign in it.
We are given an equation as h = - 16t² + 32t + 2308
Since, we need to find the times at which the height of the object at least 1300 feet so, we will substitute h = 1300 in the equation.
From this, we get
⇒1300 = - 16t² + 32t + 2308
⇒0 = - 16t² + 32t + 1008
⇒0 = -t² + 2t + 63 (On dividing both sides by 16)
⇒t² - 2t - 63 = 0
⇒t² - 9t + 7t - 63 = 0
⇒t(t - 9) + 7(t - 9) = 0
⇒(t - 9) (t + 7) = 0
⇒t = 9 , -7
Hence, the height of the object is at least 1300 feet after 9 seconds.
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pls help me solve this
The perimeter of the figure is 28 units
What is perimeter of a figureThe perimeter of a figure is the total length of its boundary or outer edge. It is the sum of the lengths of all the sides of the figure. The perimeter is usually measured in units such as centimeters, meters, inches, or feet, depending on the measurement system being used.
The perimeter of this figure is the sum total length of the boundaries.
This can be calculated as;
P = 2 + 4 + 5 + 3 + 7 + 7
P = 28 units
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−3.6−1.9t+1.2+5.1t does any body know? I’m new at this and don’t know it well.
Answer: 3.2t − 2.4
Step-by-step explanation:
Add −3.6 and 1.2
Then, add −1.9t and 5.1t
3.2t − 2.4
Can someone help me?
Answer:
yeah sure, what you need?
What size is a 1/4-20 drill hole?
The size is a 1/4-20 drill hole is 5.1mm
Many factors contribute to tap failure or breakage, but one fundamental and obvious factor is often overlooked. The problem is that this factor cannot be calculated accurately using traditional tap/drill charts.
There have been many changes since the tapping/drilling chart was first developed - programmable machines, rigid tapping, synchronous tapping, better tool holders, special tapping fluids, higher quality taps, etc.
Most importantly, the drill bits used to make the holes to cut have improved. Enhanced drill bit geometries, new chip flute geometries, coolant holes, improved HSS and carbide grades, and coatings such as TiN and TiCN greatly improve hole quality and size.
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how many hours until tomorrow
The time right now and the time zone you are in determine how many hours are left before tomorrow. Assuming you mean the following calendar day, tomorrow's hours would be:
The amount of hours until tomorrow if it is currently before midnight is 24 minus the current hour. For instance, if it is 9:00 PM right now, there are 24 – 21 = 3 hours left until tomorrow.
In this case, the number of hours until tomorrow would be equal to the time difference between now and midnight + 24. If it is 1:00 AM, for instance, there are (24 - 1) + 1 = 24 hours until tomorrow.
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cos 0=5/13 and sin 0 0. identify the quadrant of 0 and find sin 0
The solution is, sin∅ = 12/13 & theta is placed on the second quadrant.
that means the answer is C.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
Let's solve the equation for theta
cos∅=5/13
so, we get,
∅ ≈ 112.6
This means angle theta is placed on the second quadrant.
We use Pythagorean's Theorem to find the other leg to find the sine function.
13² = 5² + x²
so, we get,
x = 12
It's important to know that the sine function is equivalent to the ratio between the opposite leg and the hypothenuse, and it has to be positive because sine functions are positive when the angle is on the second quadrant.
sin∅ = 12/13
Hence, the answer is C.
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what us systems of equations solver
Systems of equations solver called Wolfram or Alphas can resolve systems of linear equations or nonlinear equations, and it can look for solutions that are only integers.
Systems of direct equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be allowed of as lines drawn in two- dimensional space. However, the system is said to be harmonious and has a result at this point of crossroad, If all lines meet to a common point. The system is said to be inconsistent else, having no results. Systems of direct equations involving further than two variables work also, having either one result, no results or horizonless results( the ultimate in the case that all element equations are original).
More general systems involving nonlinear functions are possible as well. These retain more complicated result sets involving one, zero, horizonless or any number of results, but work also to direct systems in that their results are the points satisfying all equations involved. Going further, more general systems of constraints are possible, similar as bones that involve inequalities or have conditions that certain variables be integers.
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Find the smallest pair of 4 digit numbers such that the difference between them is 303 and
The smallest pair of 4 digit numbers such that the difference between them is 303 and HCF is 101 are found to be 1010 and 1313.
The HCF is the highest common factor or in other words, the largest number by which two numbers can be divided. List the four-digit numbers that could be the HCF for 101 to begin.
101 x 10 = 1010
101 x 11 = 1111
101 x 12 = 1212
101 x 13 = 1313
These numbers now reveal two further numbers whose difference is 303.
1313 - 1010 = 303
The two smallest 4 digit numbers are 1010 and 1313 as a result.
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Complete question - Find the smallest pair of 4-digit numbers such that the difference between them is 303 and their HCF is 101.
Find the length of X
help me please i will mark you as brainiest if you get this answer right
Answer:
a = √c²-b²
Step-by-step explanation:
Sup bro,
The correct answer is a = √c²-b²
How to convert 9 into cm?
9 inches is equal to 22.86 centimeter
To convert 1 inches to cm, we can use the following formula:
1 inch = 2.54 cm
The conversion factor is 2.54
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in cm = conversion factor × The length in inches
Substitute the values in the equation
9 inches = 9 × 2.54 cm
Multiply the numbers
= 22.86 cm ( rounded to two decimal places )
Therefore, 9 inch is 22.86 cm
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Which function is represented by the graph?
A nonlinear function starts at the point (minus 2, minus 1) and also passes through (0, minus 2.4), (2, minus 3), and (7, minus 4)
The option range of a function is (-∞, ∞), x-intercept of (0.1, 0), and the vertical asymptote is x = 0.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we can see in the picture, we have given a function:
We have a function:
g(x) = 4log(x) + 4
To find x-intercept plug g(x) = 0
0 = 4logx + 4
x = 0.1
(0.1, 0)
The vertical asymptote:
x = 0
The range of a function:
(-∞, ∞)
Thus, the option range of a function is (-∞, ∞), x-intercept of (0.1, 0), and the vertical asymptote is x = 0.
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QUESTION 1 1.1 Draw any AABC with B = 90° in your answer book and find the ratios of the following in terms of the sides. 1.1.1 sinc (1.1.2 sin A 1.1.3 cosc 1.1.4 cosA 1.1.5 tanc 1.1.6 tan (1) ЗЗЗЗЗЕ (1) (1) (1) [6]
Based on the drawing of AABC, the ratios wrt to the sides are given below:
1.1.1 Sin C= c/b1.1.2 Sin A = a/b1.1.3 Cos C= a/b1.1.4 Cos A = c/b1.1.5 Tan C= c/a1.1.6 Tan A = a/cHow to find ratios of sides in geometryThere are several ways to find the ratios of sides in geometry, depending on the specific situation. Here are a few common methods:
Similar triangles: If you have two triangles that are similar, that is, they have the same shape but possibly different sizes, then the corresponding sides are in proportion. That is, if the sides of one triangle are a, b, and c, and the sides of the other triangle are x, y, and z, and the triangles are similar, then:
a/x = b/y = c/z
You can use this property to find the ratio of any two sides of a triangle if you know the ratio of the corresponding sides of a similar triangle.
Proportions: In some cases, you can use proportions to find the ratio of sides. For example, if you have a rectangle with sides of length a and b, and you know that the ratio of a to b is 2:3, then you can set up the proportion:
a/b = 2/3
and solve for either a or b.
Trigonometry: If you know the angles of a right triangle, you can use trigonometric ratios to find the ratio of sides. For example, in a right triangle with angle A, the ratio of the side opposite A (which we'll call a) to the hypotenuse (which we'll call c) is given by the sine of A:
sin(A) = a/c
You can rearrange this formula to solve for a or c, depending on what you know.
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Write the radical expression [tex]\frac{8}{\sqrt[7]{x^1^5} }[/tex] in exponential form.
The value of the exponential equation is A = ( 8 ) x ^ -105/2
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 8 / ( 7√x¹⁵ ) be equation (1)
On simplifying the equation , we get
The value of √x¹⁵ = x ^ 15/2
Now , the 7th root of √x¹⁵ is = x ^ 105/2
Now , the equation will be
A = ( 8 ) x ^ -105/2
Hence , the exponential equation is A = ( 8 ) x ^ -105/2
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by what number should we divide 135 to get a perfect cube?
Answer:
5
Step-by-step explanation:
Is it possible to form a triangle with side lengths 8, 9, and 17? If not, explain why not.
This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.
What does a triangle actually mean?Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons.
Here,
No, it is not possible to form a triangle with side lengths 8, 9, and 17.
To see why, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Symbolically, for sides a, b, and c, this can be written as:
a + b > c
a + c > b
b + c > a
Let's check if these inequalities are satisfied for the sides of 8, 9, and 17:
8 + 9 > 17 (true)
8 + 17 > 9 (true)
9 + 17 > 8 (true)
All three inequalities are true, which means that the given side lengths satisfy the triangle inequality and a triangle can be formed.
In this case, we see that 8 + 9 = 17, which is exactly the length of the third side.
This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.
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The elementary school in your town wants to replace its current playground. The space used for the new playground will be similar to that of the current playground. The current space is rectangular and has a length of 24 feet and a width of 26 feet. The length of the new space is 36 feet. Find the perimeter of the space used for the new playground.
Answer:
The perimeter of the new space used for the playground is 108 feet.
The perimeter of the space used for the new playground is 150 feet.
What is Scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
The current space is rectangular and has a length of 24 feet and a width of 26 feet.
and, the new space is 36 feet long.
let the width of new space is x.
Since, the two space are similar then the scale factor will be
= 36/24 = 1.5
So, the width of new space = 1.5 x 26 = 39 feet
Thus, the Perimeter of new space
= 2(l +w)
= 2 (36+ 39)
= 150 feet
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