when is it a good idea to scale the number line when making a dot plot ?
(answer to get brainly crown)
It is a good idea to scale the number line when making a dot plot when the range of data values is large.
How scaling helps?Scaling the number line allows you to fit all the data points on the plot, making it easier to read and interpret. When the range of data values is small, you do not need to scale the number line, but if the range is large, you may need to compress or expand the scale of the number line to fit all the data points.
Additionally, when dealing with large numbers or decimal numbers, scaling the number line can make the dot plot more readable and easy to compare. It can also be useful when you want to compare different data sets that have different ranges, you can use the same scale on both dot plots, which makes it easier to compare the data.
Finally, you may also need to scale the number line when the data contains outliers, this will help to see the distribution of the data better.
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What is the answer to 2.5 4k 2 )= 12k?
Answer: k = 5/2 = 2.500
Step-by-step explanation: k=25=221=2.5
Lola says these two expressions have the same value.
Expression A
Expression B
Left-bracket (StartFraction a Over b EndFraction) Superscript negative 4 Baseline Right-bracket Superscript 0
Left-bracket (StartFraction a Over b EndFraction) Superscript 0 Baseline Right-bracket Superscript negative 4
Which explains whether Lola is correct?
Lola is correct because each expression has a value of 1. Option A is correct.
What is the expression?The expression is the relationship between variables and represented as y = ax + b is an example of a polynomial expression.
here,
Given expression
A = [tex][[a /b]^{-4}]^0[/tex]
B = [tex][[a /b]^{0}]^{-4}[/tex]
Since we know that,
a⁰ = 1
So,
A = [1]
B = 1⁻⁴ = 1
Thus, Lola is correct because each expression has a value of 1. Option A is correct.
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what intersects a circle at exactly one point and creates a right angle to the radius?
Answer: 180
Step-by-step explanation:
A customer wanted to purchase a video game and realized that they were short $4.28 to be able to pay. Which value is the opposite of being short $4.28? $4.28
$8.56
−$8.56
−$4.28
Answer: Using the absolute value function, the value that is the opposite of being short $3.96 is: x + 3.96.
Step-by-step explanation:
The absolute function is defined by:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
It measures the distance of a point x to the origin, that is, |2| = |-2| = 2.
For this problem, the number is of $3.96, that is:
|x| = 3.96.
Hence:
Short of $3.96 means that x = -3.96.
The opposite is the other solution, of x = 3.96.
How many solutions are there to the equation x1 x2 x3 15 where x1 x2 x3 are non negative integers?
There are 136 solutions to the equation:
X1 + X2 + X3 = 15
where X1, X2, and X3 are non-negative integers. I'm not gonna list them all, but, it starts off with:
01. 0, 0, 15.
02. 0, 1, 14.
03. 0, 2, 13.
134.14, 0, 1.
135.14, 1, 0.
136.15, 0, 0.
The constraint of:
1<X1<6
implies X1 either equals 1, or is greater than 1.
So, there are 65 solutions where X1 equals 1, or is greater than 1, and less than 6!
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Classifying Consistent Dependent, Consistent Independent & Inconsistent Systems of Linear Equations Example 1
Choose the correct classification of the system of linear equations shown in the graph.
a. Consistent Dependent
b. Consistent Independent
c. Inconsistent
d. None of the above.
A system of linear equations can be classified into 3 different ways based on their nature of roots and their graphical representation.
Step 1: Examine the given graph.
Step 2: Determine if the lines cross exactly once, are exactly the same, or are parallel to each other.
Step 3: Classify the system of linear equations as consistent dependent, consistent independent, or inconsistent based on your findings in step 2.
A system of linear equations is consistent dependent if it has an infinite number of solutions i.e the graphs of the lines in the system are the same, it is consistent independent when it has exactly one solution i.e the graphs of the lines in the system cross exactly once and a system is inconsistent if it has no solutions i.e the graphs of the lines do not intersect and they are parallel.
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1.
Evaluate the following expression: 5/7 to the power of 2
To evaluate an algebraic expression is to determine its value when a certain number is used in place of the variable. Therefore the correct option is 25/49
In order to evaluate an expression, we first swap out the variable for the given number, and then we use the order of operations to simplify the expression.To "critically evaluate," you must express your judgment regarding the validity of a claim or body of research findings. This needs to be done with the utmost seriousness. Specify the degree to which a claim or research finding is true in your opinion.To evaluate the expression of 5/7 to the power of 2 we will-
[tex]5/7² = 5/7 X 5/7 = 25/49[/tex]
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if the number of books in a sample of eight boxes is 11, 8, 2, 2, 7, 2 and 5, then the data set is said to be
plot the frequency distribution with frequency 11, 8, 7, 5, 2, 2,2 and box numbers on X axis
It will show a graph which is Positively skewed.
A store is having a 10% sale on all items. There is an additional $30 discount to the sale price of any bicycle. Let x represent the price in dollars, and let f(x) = x − 30 and g(x) = x − 0. 10x = 0. 90x represent the discounts. Which function can the store manager use to find the final price of a bicycle? Group of answer choices f+g g∘f g−f f∘g
The store manager can use f∘g function to find the final price of a bicycle.
Let the buying price be Y,
Store is offering sale on the item given by function,
f(x) = x - 30
And offering an additional discount given by function,
g(x) = x - 0.1x = 0.9x
So final price be written as;
0.9x - 30 [ 10% off and 30$ discount ]
Then 0.9x - 30 = f∘g ( operations of functions of functions ).
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
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Which has the greater value, |4.2| or |3.6|?
Answer:
4.2 has a greater value
since 4.2 is greater than 3.6
Step-by-step explanation:
Since neither numbers are negative, the absolute value around the numbers do not change the values. So nothing changes and we know 4.2 is greater than 3.6
Steve bought $2,000 worth of stocks in 2019. The value of the stocks has been decreasing by 10 percent each year. What will the value of the stocks be in 2024? Round your answer to the nearest dollar.
Stocks will be worth $1180 in 2024 due to a 10% percent annual decline in value.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Steve bought $2,000 worth of stocks in 2019. The value of the stocks has been decreasing by 10 percent each year
thus the value of stocks becomes 90 percent or 0.9 times each year
After 5 years Value of stocks = 2000 * (0.9)⁵
After 5 years Value of stocks = 1180.98
Therefore the value of stocks in 2024 will be $1180 as stock decreases by 10% every year.
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Give three expressions equivalent to (2³)^5x
Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value(s) for the variable are entered, two algebraic expressions that are equivalent will have the same value (s).
What is an Algebraic Expression?An algebraic expression is a mathematical expression made up of variables, coefficients, constants, and operations including addition, subtraction, multiplication, and division. In most cases, something is said to be equivalent if two of them are the same.
Similar to this, analogous expressions in mathematics are those that, despite their differences in appearance, have the same meaning.
The two expressions, however, produce the identical outcome when the values are inserted into them.
Example
If the provided expression has an equivalent, write it down: 3x+9
Solution:
expressed in this way: 3x+9
The analogous equation is equal to the expression when 3 is removed from it, which is = 3(x+3).
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Can someone help md with my slope maze
25% part (b) what is the angle, in degrees, of the compass direction of a line connecting your starting point to your final position measured south of west?
The angle, in degrees, of the compass direction of a line connecting will be 53.9 degrees
Your entire distance from the beginning location is your hypotenuse.
We employ the hypotenuse formula because...
The Pythagoras theorem can be used to determine the length of the hypotenuse in a right triangle. According to the theory, the hypotenuse's square is equal to the sum of its two other sides' squares.
R2=A2+B2
R2=17.52+242R2
=306.25+576
R=√882.25
=29.7 meters
However, the assertion that R=A + B is incorrect (the assertion on the figure is FALSE!).
Your direction is northwest.
Now use trigonometry:
sinθ=B/R
sinθ=24/29.70
=0.808
θ=53.9 degrees. This is your angle.
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please help i dont know what to do
Can somebody please answer this quickly
Answer:
0.115
Step-by-step explanation:
What is the measure of angle ABE?
The measure of angle ABE is ___degrees
The measure of angle ABE is 40 degrees.
What is angle ?The angle formed by two rays is in the plane containing the rays.An angle is also formed by the intersection of two planes.An angle is a combination of two rays (half rays) that have a common endpoint.The latter is known as the apex of the angle and the ray is known as the side.There are also cases of angled legs and arms.In plane geometry, the figure formed by two rays or lines that share a common endpoint is called an angle.The word "angle" comes from the Latin word "angulus" which means "horn".When two lines intersect each other, the vertically opposite angles are equal.
Therefore, angle ABE = angle CBD
angle ABE = 40 degrees.
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PLS HELP
whats the solution for the following equation ?
A+3b=40
A-b=20
A matrix a is given. Determine if the system ax = b (where x and b have the appropriate number of components) has a solution for all choices of b.
If the rank of matrix A is equal to the number of columns of A, and the rank of matrix A is equal to the rank of the augmented matrix [A|b], then the system Ax = b will have a unique solution for all choices of b. Otherwise, the system Ax = b will not have a unique solution for all choices of b.
To determine if the system ax = b has a solution for all choices of b, we need to look at the rank of the matrix A and the rank of the matrix formed by appending the vector b to the matrix A.
The rank of a matrix is the number of linearly independent rows or columns in the matrix. If the rank of matrix A is equal to the number of columns in A, then matrix A is full rank and the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the number of columns in A, then matrix A is not full rank, and the system Ax = b will not have a unique solution for all choices of b.
If the rank of matrix A is equal to the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will not have a unique solution for all choices of b.
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47/15 rounded to the nearest ten
Answer: 0
Also could you mark my answer as brainliest? It helps and doesnt hurt a bit
Answer:
3.1
Step-by-step explanation:
I need Help please hurry
Let's consider what the question asks for:
--> domain and range, x-intercept, y-intercept of the equation
Let's find the domain:
--> the only range of x-values that will make this equation 'untrue'
--> is when the function inside the square root becomes negative
--> as a square root cannot have a negative value inside it
[tex]x+8\geq 0\\x\geq -8\\\\\text{Our domain is therefore [-8}[/tex],∞)
Let's find our range:
--> the function doesn't have any limitations vertically
[tex]\text{Our range is therefore}[/tex] (-∞,∞)
Our x-intercept
--> is when the y-value is zero
[tex]0=-2\sqrt{x+8} \\\sqrt{x+8} =0\\x+8=0\\x=-8[/tex]
[tex]\text{Our x-intercept is therefore -8}[/tex]
Our y-intercept:
--> is when the x-value is zero
[tex]y=-2\sqrt{x+8} \\y=-2\sqrt{0+8} \\y=-2\sqrt{8} \\y=-2*2\sqrt{2} \\y=-4\sqrt{2}[/tex]
[tex]\text{Our y-intercept is therefore }-4\sqrt{2}[/tex]
Answer:
Domain: [-8, ∞)
Range: {-∞,∞)
X-intercept is -8
Y-intercept is [tex]-4\sqrt{2}[/tex]
How do you write a function in factored form from a graph?
To write a given function in the factored form from a given graph is expressed as f (x) = A ( x - t )( x - q ).
As given in the question,
Let us consider a equation representing the graph of a function :
2x² - 4x - 30
Simplify this into factored form
= 2 ( x² - 2x - 15 )
= 2 ( x² - 5x + 3x -15 )
= 2 ( x ( x - 5 ) + 3 ( x - 5 ) )
= 2 ( x - 5 ) ( x + 3 )
In standard form if the function is f(x) = Ax² + Bx + C
Then its factored form is f (x) = A ( x - t )( x - q ).
Therefore, the function can be written in factored form from a graph in the following way : f (x) = A ( x - t )( x - q ).
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there are 20 runners competing in a marathon. in how many different orders could the 1st, 2nd, and 3rd place medals be received?
By applying permutation theory, it can be concluded that there are 6840 different orders of 1st, 2nd, and 3rd place winners
Permutation is rearranging a collection of objects in a different order from the original order. In permutations, order matters.
If an object can be selected more than once then the number of permutations is:
P = [tex]n^{r}[/tex]
Otherwise, If an object can only be selected once, then the number of permutations is:
P = n! / (n-r)!
where n is the number of total objects and r is the number of the selected objects to arrange. Hence. n cannot be less than r.
We are given information that there are 20 runners competing in a marathon.
We are asked to find how many different orders could the 1st, 2nd, and 3rd place medals are received. It means that the order matters and they can only be selected once, so we use the second permutation formula, where n = 20 and r = 3.
P = n! / (n-r)!
= 20! / (20-3)!
= 20! / 17!
= 10 * 19 * 18
= 6840
Thus, there are 6840 different orders of 1st, 2nd, and 3rd place winners.
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A principal of a school with 484 students collected information about how many of the students wear glasses complete the two way frequency table. Plss help I didn’t understand how to do it!!
The percentage of students are boys = 51.5% and The percentage of students always wear glasses = 21.3%
What is percentage ?
percentage can be defined as the product of ratio of given value , total value and hundred.
Given ,
A principal of a school with 484 students collected information about how many of the students wear glasses complete the two way frequency table
So, the number of boys always wears glasses are 40
the number of boys sometimes wears glasses are 48
the number of boys never wear glasses are 161 .
Total number of boys = 249
the number of girls always wears glasses are 36
the number of girls sometimes wears glasses are 55
the number of girls never wear glasses are 144.
Total number of girls = 235
Total number of students always wears glasses = 76
Total number of students sometimes wears glasses = 103
Total number of students never wear glasses = 305 .
Total number of students = 484 .
The percentage of students are boys = 51.5%
The percentage of students always wear glasses = 21.3%
Hence, The percentage of students are boys = 51.5% and The percentage of students always wear glasses = 21.3%
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In a survey of women in a certain country (ages 20 - 29), the mean height was 63.2 inches with a standard deviation of 2.67 inches. Answer the following questions about the specified normal distribution.
What height represents the 95th percentile?
What height represents the first quartile?
If in a survey of women in a certain country (ages 20 - 29), the mean height was 63.2 inches with a standard deviation of 2.67 inches.
a. The height that represents the 95th percentile is 67.61.
b. The height that represents the first quartile is 61.4.
How to find the 95th percentile and first quartile?Mean (μ) = 63.2
Standard deviation (σ) = 2.67
a. The value of the 95th percentile
Value of the 95th percentile = 63.2 + 1.65(2.67)
Value of the 95th percentile = 63.2 + 4.4055
Value of the 95th percentile = 67.61
b. value of the first quartile (25th percentile)
Value of the first quartile = 63.2 + (-0.67) (2.67)
Value of the first quartile = 63.2 + (-1.7889)
Value of the first quartile = 61.4
Therefore the height that represents the 95th percentile is 67.61 and the height that represents the first quartile is 61.4.
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how would you find the pay/hour that makes traveling on the plane and bus travel equally attractive?
To find the pay/hour that makes traveling on the plane and bus travel equally attractive, we can use the concept of "opportunity cost" by comparing the cost of the plane ticket with the cost of the bus ticket plus the pay/hour.
One way to do this is to use the concept of "opportunity cost," which is the cost of foregone opportunities. In this case, the opportunity cost of traveling by plane is the cost of the plane ticket, while the opportunity cost of traveling by bus is the cost of the bus ticket.
To find the pay/hour that would make traveling by plane and bus equally attractive, we can set up an equation where the opportunity cost of the plane ticket equals the opportunity cost of the bus ticket plus the pay/hour. This equation can be written as:
Plane ticket cost = Bus ticket cost + Pay/hour
To find the pay/hour, we will have to know the costs of the plane and bus tickets and solve the equation for Pay/hour.
Pay/hour = Plane ticket cost - Bus ticket cost
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Eric had a balance of $4 in his savings account after making a deposit he has $25 in his account what is the overall change in his account?
Answer:
21 dollars is the change.
Step-by-step explanation:
If u do division 25/4 its equals to 5.25 which could be the answer too.
A certain type of bacteria's population doubles every 4 hours.if threre are approximately 5,000 bacteria to start with, how many bacteria will there be in 3 days?
There will be approximately around 5000× 2¹⁸ = 262,144,000 bacteria.
What is the bacterial population in 3 days?Similar to the function of protonophores, bacterial populations have natural defences against antibiotics. These mechanisms interfere with the membrane electrochemical gradients that allow bacterial populations to develop persister subpopulations that are drug-tolerant.
Every four hours, the population will double, making a total of 18 times in a 72-hour period.
In the beginning there are 5000 bacteria and There are 24 hours in a day, hence there will be 72 hours in 3 days (3× 24).
There will be around 5000 × 2¹⁸ = 262,144,000 bacteria.
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tan2a=cot(a-70) please solve it
The value for Tan 2a = Cot ( a - 70) gives a= 53.33
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Tan 2a = Cot ( a - 70)
As, tan a= cot (90 - a)
So, cot (90- 2a) = Cot (a-70)
Now, comparing the angles we get
90 -2a = a - 70
90 + 70 = a + 2a
3a = 160
a = 160/3
a = 53.33
Hence, the value of a is 53.33.
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