Answer:
Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.
Step-by-step explanation:
a census is a regularly-occurring and official count of a particular population. census data available at the united states census bureau website are an example of:private informationpublic beha
Census data available at the United States Census Bureau website is an example of public information.
Census data is collected by the government and is intended to provide statistical information about a population. It is considered public information because it is made available to the general public for research, analysis, and decision-making purposes.
The United States Census Bureau collects and publishes census data to ensure transparency and accessibility to a wide range of users, including policymakers, researchers, businesses, and the general public.
This data helps inform various aspects of society, such as planning public services, determining representation, and studying demographic trends. It is important to note that while individual responses to the census are confidential and protected by law, aggregated census data is made public to benefit society as a whole.
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True/False
1) The nullspace of a 3x4 matrix cannot consist of only the zero vector.
2) The nullspace of a 4x3 matrix cannot consist of only the zero vector.
3) The set of all vectors of the form 1
x
y
where x and y range over all real numbers, is a subspace of R^3.
4) 3) The set of all vectors of the form 0
x
y
where x and y range over all real numbers, is a subspace of R^3.
Null space is defined as the set of vectors 'x' in Rn that are solutions to the matrix equation A*x = 0. False: The set of all vectors of the form 1 x y where x and y range over all real numbers is a subspace of R3. True: The set of all vectors of the form 0 x y where x and y range over all real numbers is not a subspace of R3.
1) False Null space can consist of zero vector only. A null space is defined as the set of vectors 'x' in R^n that are solutions to the matrix equation A*x = 0.
2) True The number of columns can never be less than the number of rows of the matrix in order for a null space to exist, hence a 4x3 matrix may have the null space of only the zero vector.
3) True The set of all vectors of the form 1 x y where x and y range over all real numbers, is a subspace of R^3. This set contains zero vector because for x=0 and y=0, we get the vector as [0,0,0]. Hence it is a subspace of R^3.
4) False The set of all vectors of the form 0 x y where x and y range over all real numbers, is not a subspace of R^3 as it doesn't contain zero vector. To have a subspace of R^3, it should contain a zero vector.
So, the correct options are:1) False2) True3) True4) False
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700,000,000+60,000,000+8,000,000+90,000+2,0000+50+4
Answer:
768,092,054
Step-by-step explanation:
700,000,000+60,000,000+8,000,000+90,000+2,000+50+4
The easiest way to solve is to put the numbers in every place value they go in. So, the answer would be...
768,092,054
Hope this helps! Have a nice day :D
What is the Coefficient in the following expression:
10+4a−3
Answer:
4
Step-by-step explanation:
Coefficient is the number next to the variable, making it 4.
geometry unit exam a garden wall is 4 feet in height and has a 6-foot shadow. a tree in the garden casts a 24-foot shadow at the same time of day. what is the height of the tree?
The height of the tree is 16 feet if it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.
The shadows at the same time of the day can be compared for the garden wall and a tree as follows;
tree shadow / tree height = wall shadow / wall height
As the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;
24 / x = 6 / 4
Here x represents the height of the tree
Solving for x;
24 / x = 1.5
24 = 1.5 x
x = 24 / 1.5
x = 16
Therefore the height of the tree is calculated to be 16 feet.
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The height of the tree is 16 feet when it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The shadows at the same time of the day can be compared for the garden wall and a tree is given by;
tree shadow / tree height = wall shadow / wall height
Since we know that the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;
24 / x = 6 / 4
Here x represents the height of the tree
Solving for x,
24 / x = 1.5
24 = 1.5 x
x = 24 / 1.5
x = 16
Therefore, the height of the tree is calculated to be 16 feet.
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a 90% confidence interval for the mean of a population is computed to be 135 to 160. which one of the following claims would the interval tend to refute?
The only claim that would tend to be refuted by the 90% confidence interval of 135 to 160 is B) The population mean is 125.
The 90% confidence interval for the mean of a population being computed to be 135 to 160 means that if we were to take multiple samples from the population and compute the mean of each sample, 90% of the intervals we construct would contain the true population mean. Therefore, any claim that falls outside of this interval would tend to be refuted.
Let's consider the options.
A) The population mean is 145.
This claim falls within the 90% confidence interval of 135 to 160, so it is not refuted by the interval.
B) The population mean is 125.
This claim falls outside of the 90% confidence interval of 135 to 160, so it is refuted by the interval.
C) The population mean is 170.
This claim also falls outside of the 90% confidence interval of 135 to 160, so it is refuted by the interval.
D) The population mean is between 130 and 150.
This claim falls within the 90% confidence interval of 135 to 160, so it is not refuted by the interval.
Therefore, the only claim that would tend to be refuted by the 90% confidence interval of 135 to 160 is B) The population mean is 125.
A 90% confidence interval for the mean of a population, computed to be 135 to 160, provides a range in which we can be 90% confident that the true population mean lies. This confidence interval helps us make inferences about the population based on sample data. The given interval would tend to refute any claim that falls outside of this range.
For example, if someone claims that the population mean is either below 135 or above 160, this confidence interval would challenge that assertion. Since we are 90% confident that the true population mean falls between 135 and 160, it would be statistically unlikely for the actual mean to be outside of this range. In conclusion, any claim suggesting a population mean outside the 135 to 160 interval would be refuted by this 90% confidence interval.
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Complete question: For the problem, select the best response.
A 90% confidence interval for the mean of a population is computed to be 135 to 160. Which one of the following claims would the interval tend to refute?
A. The population mean is more than 110.
B. The population mean is less than 150.
C. The population mean is between 140 and 150.
D. The population mean is more than 140.
E. The population mean is less than than 125.
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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how to solve angles in maths
Use the appropriate angle rule(s) to solve angles in Mathematical problems.
What is angle:When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol '∠' stands for the angle. The Latin word "Angulus" is where the term "angle" originated.
These angles are usually measured in degrees like 45°, 30°, 50°, 15°, 110°, 75° and 120° etc.
How to solve angles in maths:Here are some key points and rules to solve angles in Maths
Determine the angle you must find.Determine which angle rule(s) the situation requires and note them down.Use the angle rule(s)to solve the issue. Give justifications when appropriate.Be sure to use terms related to angles.Angle Rules:Angles on a straight line
A straight line's angles always add up to 180 degrees. We use this rule to solve angles lying on a straight line.
Angles around a point or angle in a circle
Angles that circle a point always equal 360 degrees. We use this rule to solve angles related to circles, sectors, closed polygons, etc.
Supplementary angles:
The pair of angles that are added up to 180° are known as Supplementary angles. Example, 150°, 30°; 120°, 60°; 100°, 80° etc.
Complementary angles
The pair of angles that are added up to 90° are known as angles Complementary angle. Examples, 45°, 45°; 50°, 40°; 60°, 40° etc.
Vertically opposite angles
The angles formed by intersecting two straight lines opposite to each other are known as Vertically opposite angles. In any situation, the vertically opposite angles will equal each other
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where is my dad at right know as we speak
I don't even know :D
Please all the steps, one by one! How can this be solved?
There are 5 full square and 6 triangles that are half squares.
5 + (6)(1/2) = 5 + 3 = 8
You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area. But counting works well in this example.
Answer: 8
Step-by-step explanation:
First you split up this shape into two different shapes, a triangle and trapezoid
Put a line through the coordinates (-2,2) to (-1,2); the top is a triangle and the other is a trapezoid
Area of the trapezoid is A = .5x (base1 + base2) x height
base1 of the trapezoid goes from -4 to -1 which is 3
base2 goes from -2 to -1 which is 1
height is 0 to 2 whcich is 2
A = .5 x (3+1) x 2 = 4
Now area of a triangle is A = .5 x base x height
the base goes from -2 to 2 which is 4
the height goes from 2 to 4 which is 2
A = .5 x (4) x (2) = 4
Area of the Trapezoid + Area of the Triangle = Total Area
4 + 4 = 8
Following are the factor ratings (100 points is the maximum) of three possible locations for a clothing store.
Location
Factor
Weight A B C
Convenience of access .10 92 70 72
Parking facility .15 91 73 75
Frontage .19 96 89 74
Shopper traffic .31 79 95 80
Operating cost .10 70 95 92
Neighbourhood .15 69 81 96
1.00
a. Determine the composite score for each location. (Round intermediate calculations to 2 decimal places. Round the final answers to 2 decimal places.)
A B C
Composite score
b. Using part a results, determine which location should be chosen for the clothing store.
multiple choice
Location B
Location C
Location A
a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b) Based on the composite scores, Location A should be chosen for the clothing store.
To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.
a. The composite score for each location is calculated as follows:
Location A:
Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)
Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)
Composite score = 84.34
Location B:
Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)
Composite score = 81.05
Location C:
Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)
Composite score = 82.63
b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.
After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.
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Type your response in the box. Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answer:
Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Step-by-step explanation:
This answer is from Plato.
Heeelp meee :((((((((((
Answer: all of it is 1
1
1
1
1
1
1
1
1
1
1
Step-by-step explanation:
as your slideshow said, 0 to the power of 1 = 1
How many solutions does the equation
-x^100 + 6x + 2 = 0
have on the interval
[-1, 0]
On the interval [-1,0], we can use the Intermediate Value Theorem to show that there is at least one solution.
Let's define f(x) = -x^100 + 6x + 2.
f(-1) = -1^100 + 6(-1) + 2 = -5
f(0) = -0^100 + 6(0) + 2 = 2
Since f(-1) < 0 and f(0) > 0, by the Intermediate Value Theorem, there exists at least one solution to the equation f(x) = 0 on the interval [-1,0].
However, we cannot determine the exact number of solutions without further analysis of the function. We can see that f(x) is a polynomial of degree 100, which means it could have up to 100 solutions. However, it is difficult to determine the exact number of solutions without numerical or graphical methods.
The given equation is:
-x^100 + 6x + 2 = 0
Since this is a polynomial equation of degree 100, it can have at most 100 real roots. To determine how many solutions the equation has on the interval [-1, 0], we can analyze its behavior within that interval.
When x = -1, the equation becomes:
-(-1)^100 + 6(-1) + 2 = -4
When x = 0, the equation becomes:
-(0)^100 + 6(0) + 2 = 2
Between x = -1 and x = 0, the function transitions from negative to positive values. Since the function is continuous (as it is a polynomial), it must cross the x-axis at least once within the interval [-1, 0] by the Intermediate Value Theorem.
Therefore, the equation -x^100 + 6x + 2 = 0 has exactly 1 solution on the interval [-1, 0].
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Which table represents a function?
Answer:
The first table(top row, leftmost) represents a function
Step-by-step explanation:
In a function y = f(x), the value for y must be unique for a value of x
In other words, you cannot have two different values of y for the same x
We see that only the first table(top row, leftmost) satisfies this requirement
So that is the answer
Second table has two values for x = -5
Third table has two values of x = -2
Fourth table has two values for x = -4
show ur step how to get x and y
4
After solving this equation we get x = 1 and y = 30.
What is Equation?An equation is a mathematical statement that describes the relationship between two or more variables. It is a statement that states the equality of two expressions. Equations can be used to describe anything from the motion of a pendulum to the growth of a population. They are used in all areas of mathematics, physics, and other sciences. Equations are written using symbols, such as = (equal to), > (greater than), and < (less than).
To solve this systems of equations, we need to use algebraic techniques. First, we need to rewrite the equations so they are in the same form. To do this, we will subtract x from both sides of the second equation, giving us:
y = x + 30
-x
y = 30
Now, we will subtract 30 from both sides of the equation, giving us:
y = 4x + 9
-30
y = 4x - 21
Now we will subtract 4x from both sides of the equation, giving us:
y = 4x - 21
-4x
y = -21
Finally, we will divide both sides by -21, giving us:
y = -21
-21
y = 1
This means that the solution to our system of equations is x = 1, y = 30.
To show our algebraic work on paper, we can rewrite the equations and perform each step as a mathematical operation:
y = 4x + 9
y = x + 30
y = x + 30 - x
y = 30
y = 4x + 9 - 30
y = 4x - 21
y = 4x - 21 - 4x
y = -21
y = -21 ÷ -21
y = 1
Therefore, x = 1 and y = 30.
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A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
Invement increae exponentially by about 26% every 3 year if you made a 2,000$ invement how much money would you have after 45 year
money would you have after 45 year = $ 64060.18
What is investment?
Investments are financial commitments made to acquire assets in the hopes that their value would rise over time. Investment necessitates the loss of a current resource, such as time, money, or effort. In the world of finance, investing is done in order to profit from the asset being put to use.
Given,
Investment increae exponentially = 26% every 3 year
made money = 2000$
we know the formula as:
Future value can be give by,
FV = P ( 1+r)/t
= 2000$ ( 1 +26/100)45/3
=$ 64060.18
money would you have after 45 year = $ 64060.18
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There were exactly 28 students in Ms. Pine's class. She gave each
student a piece of paper. Each student put his or her name on the piece
of paper.
1/4 of the students put their names on the right side of the paper.
3/7 of the students put their names on the left side of the paper.
The remaining students put their names on the center of the paper.
What is the total number of students in Ms. Pine's class who put their
names on the center of the paper
Answer:
9 students
Step-by-step explanation:
find the common denominators,
7/28= right
12/28= left
----
19/28
28-19=9
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
To find the z-score for a sales associate who earns $37,500, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to convert to a z-score (in this case, $37,500),
μ is the mean of the distribution (in this case, $32,500), and
σ is the standard deviation of the distribution (in this case, $2,500).
Substituting the given values into the formula, we have:
z = (37,500 - 32,500) / 2,500
z = 5,000 / 2,500
z = 2
Therefore, the z-score for a sales associate who earns $37,500 is 2.
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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.
Explanation:The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.
We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:
Z = (Value - Mean) / Standard Deviation
So, the z-score for an associate earning $37,500 would be:
Z = ($37,500 - $32,500) / $2,500
This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.
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Give exact values, not decimal approximations. If the sum does not exist, click on "No sum". \((5) + (5) {}^{2} + (5) {}^{3} + ...\)
first
\(undefined\)What is an equation of the line that passes through the points (4,-7) and (-4,5)
Answer:
y = -1.5x -1
Step-by-step explanation:
moves right 8
and down 12
so m = -12/8x or -1.5x
(4,-7) moves up 6, (0, -1)
isaak is writing an explicit formula to represent the sequence. 64, 112, 196, 343, ... what value should he use as the common ratio in the formula? write the answer as a decimal rounded to the nearest hundredth. a) 0.75. b) 1.75. c) 58. d) 279.
To determine the common ratio for the sequence 64, 112, 196, 343, ... we need to find the ratio between any two consecutive terms.
The ratio between the second and first terms is:
112/64 = 1.75
The ratio between the third and second terms is:
196/112 = 1.75
The ratio between the fourth and third terms is:
343/196 = 1.75
Since the ratios between all consecutive terms are the same, we can conclude that the common ratio for this sequence is 1.75.
Therefore, the answer is (b) 1.75.
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Describe corresponding elements and give an example,
Answer:
what do you mean exactly, i really wanna help
Solve the equation-
\( \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \)
Help me SalmonWorldTopper please please
Given info:- 5/(x-3) - 4/(x+4) = 1/x. And here the problem has asked to find out the value of x ?
Let's solve!!
Given equation is 5/(x-3) - 4/(x+4) = 1/x
⇛ [5(x+4) - 4(x-3)]/(x-3)(x+4) = 1/x
⇛ (5x+20-4x+12)/(x-3)(x+4) = 1/x
⇛ (x+32)/(x-3)(x+4) = 1/x
On applying cross multiplication then
⇛ x(x+32) = (x-3)(x+4)
⇛ x²+32x = x(x+4)-3(x+4)
⇛ x²+32x = x²+4x-3x-12
⇛ x²+32x = x²+x-12
⇛ x²+32x-x²-x = -12
⇛ (x²-x²)+(32x-x) = -12
⇛ 0+31x = -12
⇛ 31x = -12
⇛ x = -12/31
∴ x = -12/31
The value of x for the given problem -12/31
VERIFICATION:
Check
If x = -12/31 then LHS of the equation is
5/(x-3) - 4/(x+4)
⇛ 5/[(-12/31)-3] -4/[(-12/31)+4]
⇛ 5/[(-12-93)/31] -4/[(-12+124)/31]
⇛ 5/(-105/31) - 4/(112)/31
⇛ (5×-31)/105 - (4×31)/112
⇛ (-115/105)-(124/112)
⇛ (-31/21) - (31/28)
⇛ (-31)[(1/21)+(1/28)]
⇛ (-31)(21+28)/(21×28)
⇛ (-31×49)/(21×28)
⇛ (-31×7)/(21×4)
⇛-31/12
And RHS = 1/x
⇛ 1/(-12/31)
⇛ -31/12
⇛ LHS = RHS is true for x = -31/12
Evaluate the indefinite integral. Use a capital " C " for any constant term. ∫(3ex+4x5−x34+1)dx= TIP Enter your answer as an expression. Example: 3x∧2+1,x/5,(a+b)/c Be sure your variables match those in the question
The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.
∫3e^x dx = 3∫e^x dx = 3e^x + C₁
∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂
∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃
∫1 dx = x + C₄
Now, we can combine these results to obtain the final answer:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
where C is the constant of integration.
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if a=3 what does 3(6-)=
Answer: -18
Step-by-step explanation:
3 x -6 = 18
Answer:
3(6-) = 18-
Step-by-step explanation:
Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?
Answer:
8x = 32
x = 4
y = 6
Step-by-step explanation:
2.5y + 3x = 27
5x – 2.5y = 5
_____________
8x = 32 (equation obtained after adding the two equations)
x = 32/8
x = 4
Plug x = 4 in 2.5y + 3x = 27
2.5y + 3*4 = 27
2.5y + 12 = 27
2.5y = 27 - 12
2.y5= 15
y = 15/2.5
y = 6
The equation results of adding the two equations is 8x = 32.
The solution to the system is (4, 6).
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, A system of linear equations in variables 'x' and 'y'.
2.5y + 3x = 27...(i) and 5x - 2.5y = 5...(ii)'
Reaaranging eqn(i) we have
3x + 2.5y = 27...(iii)
Adding (ii) and (ii) we have,
8x = 32. (As + 2.5y and - 2.5y cancels)
x = 32/8.
x = 4.
Putting the value of 'x' in eqn(i) we have,
2.5y + 12 = 27.
2.5y = 15.
y = 6.
So, The solution to the system is (4, 6).
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The probability of drawing two black cards without replacement is 1/14, and the probability of drawing one black card is 2/7.
What is the probability of drawing a second black card, given that the first one is black
The probability of drawing a second black card, given that the first one is black, is 1/4.
What is the probability?From the question, the events are :
A: Drawing a second black card
B: Drawing a first black card
Note that we are given:
P(A and B) = 1/14 (probability of drawing two black cards without replacement)
P(B) = 2/7 (probability of drawing one black card)
Hence. the conditional probability formula will be:
P(A|B) = P(A and B) / P(B)
Based on the above, we fix in the value:
P(A|B) = (1/14) / (2/7)
= (1/14) x (7/2)
= 7/28
= 1/4
Therefore, the probability of drawing a second black card, given that the first one is black, is 1/4.
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Which conversions from scientific notation to standard notation are true? Select the four correct answers.
1.71 times 10 Superscript 3 Baseline = 0.00171
8.05 times 10 Superscript 5 Baseline = 805,000
2.4 times 10 Superscript 4 Baseline = negative 24,000
8.25 times 10 Superscript negative 3 Baseline = negative 8,250
7.09 times 10 Superscript negative 6 Baseline = 0.00000709
3.99 times 10 Superscript 5 Baseline = 300,099
8 times 10 Superscript 7 Baseline = 80,000,000
1.03 times 10 Superscript negative 4 Baseline = 0.000103
scientific notation to standard notation is true
8.05 times 10 Superscript 5 Baseline = 805,000
7.09 times 10 Superscript negative 6 Baseline = 0.00000709
8 times 10 Superscript 7 Baseline = 80,000,000
1.03 times 10 Superscript negative 4 Baseline = 0.000103
To alternate, more than a few from scientific notation to standard form, circulate the decimal point to the left (if the exponent of ten is a -ve no), or to the right (if the exponent is +ve no). You have to circulate the factor as usually because the exponent indicates. Do not write the power of ten anymore.The right format for scientific notation is an x 10^b wherein a is no. or decimal quantity such that absolutely the cost of a is extra than or same to 1 and much less than ten or, 1 ≤ |a| < 10. b is the energy of 10 required so that the clinical notation is mathematically equal to the unique quantity.
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Answer:
C. 80 times 10 Superscript 3 baseline
Step-by-step explanation: