Answer:
See below
Step-by-step explanation:
[tex]f(x)=|x-2|\\f'(x)=\frac{x-2}{|x-2|}\\f'(2)=\frac{2-2}{|2-2|}=\frac{0}{0}[/tex]
So, the function is not differentiable at x=2.
A music fan has amassed a giant collection of albums and CDs. If the music fan has 2000 CDs, which comprise 61.3% of the total collection, how many total albums and CDs are in the collection
There are approximately 3263 total albums and CDs are in the collection.
Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".
let 'x' be the total albums and CDs in the collection
If the music fan has 2000 CDs, which comprise 61.3% of the total collection, then 61.3% of x is equal to 2000.
2000 albums and CDs = 61.3% of the total albums and CDs in the collection
2000 = 61.3% of x
2000 = 0.613x
Solving for x,
x = 3262.6
the total albums and CDs in the collection ≅ 3263
Therefore, the the total albums and CDs in the collection is approximately 3263.
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in one statistics course students reported studying an average of 9.92 hours a week with a standard deviation of 4.54. treating this class as the population, what is the precentile for a student in the class who studes 8 hourse a week
The precentile for a student in the class who studies 8 hours a week is 5.74%.
To find the percentile for a student who studies 8 hours a week, we need to first standardize the student's study time by subtracting the mean study time and dividing it by the standard deviation of study time. This will give us the student's z-score. We can then look up the student's z-score in a standard normal table to find the percentile.
The student's z-score is (8 - 9.92) / 4.54 = -1.67.
Looking up -1.67 in a standard normal table, we find that the percentile is about 5.74%. This means that about 5.74% of the students in the class studied for less than 8 hours per week.
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As per the given standard deviation, the percentile for a student in the class who studies 8 hours a week is 50.80%
The term standard deviation in math is known as a measure which shows how much variation from the mean exists.
Here we have given that in one statistics course students reported studying an average of 9.92 hours a week with a standard deviation of 4.54.
Through this details, we have identified that the value of the following are given that,
=> weekly study time = 10 hours
=> average study time = 9.92 hours
=> standard deviation = 4.54 hours
Then the formula to calculate the Test statistic is written as
=> z = (weekly study time - average study time)/standard deviation
Apply the values on it, then we get
=> z = (10 - 9.92)/4.54
=> z = 0.08/4.54 = 0.02
While we take the value of z table, then we get the Cumulative area of the test statistic is 0.5080.
And the percentile is calculated by multiply the value by 100 as,
=> 0.5080 × 100 = 50.80
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Triangle ABC is being rotated 90° about the
origin. What will A' be if A was located at (7. 2)?
Answer:
A' (2, - 7 )
Step-by-step explanation:
under a rotation about the origin of 90°
a point (x, y ) → (y, - x ) , then
A (7, 2 ) → A' (2, - 7 )
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Ruby is designing a new board game, and is trying to figure out all the
possible outcomes. How many different possible outcomes are there if
she flips a coin, rolls a fair die in the shape of a cube that has six sides
labeled 1 to 6, and spins a spinner with three equal-sized sections
labeled Walk, Run, Stop?
Answer:
Submit Answer
attempt 1 out of 2
The maximum possible outcome for the given situation is 36.
What is Probability?The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.
Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.
Since there are three things happening simultaneously and favorable moments will be chosen by all three.
Thus Maximum possible outcome = 2 * 6 * 3 = 36
Therefore, For the given situation, 36 outcomes are available in total.
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4. Two identical cars of different colors are driving on the freeway. The
green car is driving 50 mph, and the yellow car is driving 70 mph. Which
has more momentum? Why?
The speed of yellow car has a higher speed. Then the yellow car has more momentum.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The equation of the momentum is written as,
P = mv
Where 'm' is the mass and 'v' be the velocity.
On the motorway, two similar vehicles of various colors may be seen. The yellow automobile is traveling at 70 mph while the green vehicle is moving at 50 mph.
Let the mass of the bodies be the same.
The speed of yellow car has a higher speed. Then the yellow car has more momentum.
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all natural numbers less than 10 but greater than 2
Answer:
The numbers are: 3, 4, 5, 6, 7, 8, 9
Step-by-step explanation:
Natural Numbers are whole number from 0 to infinty. If you were to find all blow 10 but greater than 2 you would have 3, 4, 5, 6, 7, 8, 9
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What is the equation, in point-slope form, for a line that goes through(8, −4) and has a slope of −5/6?
Responses
Answer:
y + 4 = - [tex]\frac{5}{6}[/tex] (x - 8)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{5}{6}[/tex] and (a, b ) = (8, - 4 ), that is a = 8, b = - 4 , then
y - (- 4) = - [tex]\frac{5}{6}[/tex] (x - 8) , that is
y + 4 = - [tex]\frac{5}{6}[/tex] (x - 8)
If the following relation is a function, which
ordered pair could be the missing point?
{(-4, 3), (5, -1), (0, 2), (x, y)}
A. (5, 7)
B. (1, -3)
C. (0, -6)
D. (-4, 0)
{(-4, 3), (5, -1), (0, 2), (x, y)} set of ordered pairs (1, -3) could represent a linear function.
What are Functions?In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
For option A:
m=1+2/3-1=3/2
m=3/2
m=7-4/8-5=3/3=1
Slopes are not same
For option B:
m=3-6/-3+6=-3/3=-1
m=0-3/0+3=-1
m=-4/3
Slopes are same
Slopes are same at every point, so this set of ordered pairs could represent a linear function
Hence, the correct option is B.
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Cos 0 = 4/5 and sin 0 < 0. Identify the quadrant of the terminal side of 0 and
find sin 0
Answer:
sinθ = -3/5, Quadrant IV (Option B)
Step-by-step explanation:
Let's first find the sine
cosθ = adj./hyp.
Pythagorean theorem (in terms of right triangle trig) = (opp)^2 + (adj)^2 = (hyp)^2
Plug in the adjacent and hypotenuse
(opp.)^2 + 16 = 25
solve for the opposite side
opp. = 3
To find the quadrant, recall the sin <0, so the sin has to be negative.
So, your sine value is -3/5.
Sine is negative at Quadrants III and IV, so eliminate C and D.
Since your cosine value is positive, it is at Quadrant IV (Cosine is positive at the first and fourth quadrants.)
Therefore, Option B is correct.
avery is throwing a pizza party. she had 7 pounds of cheese available and she needs 3/5 pound of cheese to make each pizza. what is the maximum number of full pizzas she can make?
The maximum number of full pizzas she can make if Avery had 7 pounds of cheese available, and she needs 3/5 pounds of cheese to make each pizza, is 11.
What is division?When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.
Given:
Avery had 7 pounds of cheese available, and she needs 3/5 pound of cheese to make each pizza,
Calculate the number of pizzas she can make as shown below,
The number of pizzas = total cheese/cheese required to make one pizza
The number of pizzas = 7 / 3/5
The number of pizzas = 7 × 5 / 3
The number of pizzas = 35 / 3
Thus, the total number of pizzas she can make is 11 and 2 / 3.
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How many passes scans will go through a list of 10 elements when we use bubble sort algorithm for sorting?
By using the bubble sort algorithm, a total of 9 passes/scans will be there.
Sorting AlgorithmWhen an array or list of items has to be rearranged, a sorting algorithm is used to compare the elements and sort the elements in the array or list. In each data structure, the new order of the items is determined using the comparison operator.
Bubble Sort AlgorithmThe simplest sorting method is called Bubble Sort, and it involves periodically exchanging nearby components if they are arranged incorrectly. Since the average and worst-case time complexity of this approach is relatively high, it is not appropriate for huge data sets.
According to the question, we have
Total number of elements we are having, i.e., n = 10
The total number of passes = n-1 = 10 - 1 = 9
(Number of passes required by bubble sort of n elements will be n-1)
therefore, the total number of passes/scans will be 9
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Situations and Sequence Types Assignment
Answer:12+6=3=1.5
Step-by-step explanation:
There are 25 sweets in a jar.
9 of the sweets are yellow.
Jamie takes at random a sweet from the jar.
(a) Write down the probability that the sweet is yellow.
The probability that the sweet is yellow will be;
⇒ 9 / 25
What is mean by Probability?The term probability refers to the likelihood of an event occurring.
Given that;
There are 25 sweets in a jar.
And, 9 of the sweets are yellow.
Now,
Since, Jamie takes at random a sweet from the jar.
Hence, The probability that the sweet is yellow = 9/25
= 0.36
Thus, The probability that the sweet is yellow = 0.36
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Multiply. then in simplest form.
Assume all variables are non-negative.
√x^5 • √x¹⁰
[tex]\sqrt{x^5}\cdot \sqrt{x^{10}}\implies \sqrt{x^5\cdot x^{10}}\implies \sqrt{x^{5+10}}\implies \sqrt{x^{15}}\implies \sqrt{x^{14+1}} \\\\\\ \sqrt{x^{14}\cdot x^1}\implies \sqrt{x^{7\cdot 2} x}\implies \sqrt{(x^7)^2 x}\implies x^7\sqrt{x}[/tex]
How many numbers can 12345 form?
The total number that can be formed by the numbers 1,2,3,4,5 (without repeating digits) is 120.
Now, half of the unit's digit will be bigger than the ten's digit and in half of them it will be smaller.
Example: Let's say we have three digits 1,2,3. Total number of numbers without repeating digits = 3*2*1=6
Numbers with the Unit's digit greater than the ten's digit
123, 213, 312
Numbers with Ten's digits greater than the unit's digit
321, 132, 231
So total Number of cases = 120/2 = 60
Thus, the Total Number which can be formed by numbers 1,2,3,4,5 (without repeating digits) = 5*4*3*2*! = 5! = 120.
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As per the combination method, the number for formation from the digits 12345 is 120 without repetition.
The term combination method in math is defined as a way of selecting items from a collection where the order of selection does not matter.
Here we have given the digits as 12345.
Here we have calculated the total Number of Numbers which can be formed by numbers 1,2,3,4,5 without repeating digits is written as
=> 5 x 4 x 3 x 2 x 1
Which is also equal to,
=> 5! = 120.
While we looking into the set we have identified that in half them unit's digit will be bigger than the ten's digit and in half of them it will be smaller.
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the _______ _______ is a statement of no change comma no effect comma or no difference.
The null hypothesis is a statement of no change, no effect, or no difference.
The null hypothesis is a statement or assumption that there is no relationship between two variables or no difference between two groups, and any observed differences are likely due to chance. It is often denoted as H0. In scientific research, the null hypothesis is usually tested against an alternative hypothesis, which proposes that there is a relationship or difference.
For example, in a medical study, the null hypothesis might be that a new treatment has no effect on a certain disease, while the alternative hypothesis is that the treatment does have an effect. The researcher would then collect data and use statistical methods to test the null hypothesis against the alternative hypothesis.
It's important to notice that a failure to reject the null hypothesis doesn't mean the null hypothesis is true, it only means that there isn't enough evidence to reject it.
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This quarter Joseph has earned grades of 81, 89, 80, 84, 89, and 85 on his math quizzes. Based on these scores, he claims to have an average quiz grade of 89. Explain why this claim might be considered inaccurate
The claim might be considered to be inaccurate because Joseph's actual average quiz grade for math is 85
How to find the average ?When given a set of numbers of variables, the average variable can be found by dividing the sum of the variables by the number of variables in the set.
For Joseph therefore, the average of the quiz grades that he has from his math quizzes would be :
= ( 81 + 89 + 80 + 84 + 89 + 85 ) / 6
= 508 / 6
= 84. 6
= 85
This shows that Joseph's claim of an average of 89 in his math quizzes is therefore inaccurate.
Most likely, what Joseph thought he meant was that the mode of his math quizzes was 89 as the mode refers to the variable that appears the most in a set.
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An equilateral triangle has an apothem length 2. What is the area of the triangle?
12√√3
4√3
4
Area = 12√3
What is an equilateral triangle ?An equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Given,
Length of apothem of equilateral triangle = 2
It is an equilateral triangle made up of six 30°-60°-90° right triangles with the short leg of 2 units.
2 is the altitude of small triangles
tan 30° = altitude/base
1/√3 = 2/base
base = 2√3
Area of the equilateral triangle
= 6 × area of the small triangles
= 6 ×1/2 × altitude × base
= 3 × 2 × 2√3
= 12√3
Hence the area of equilateral triangle becomes = 12√3
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A baseball player strikes out 3 times for every 2 hits he gets. If the player strikes out 15 times, how many hits does he get? If the player gets 46 hits, how many times does he strike out?
If 9 movie tickets cost $18, what is the unit price of the
movie tickets?
Answer:
Step-by-step explanation:
the answer is 162 I now this because I took the quiz and got a 100% just for that answer so I hope this is helpful
Answer:
You can do it by dividing 18 by 9 and you would get 2.
ANSWER: 2
what is equal to -4(3x+2)=4
Answer:
x = -1
Step-by-step explanation:
You want the solution to the equation -4(3x+2) = 4.
SolutionFirst of all, we can divide by -4.
3x +2 = -1
Subtracting 2 gives ...
3x = -3
Finally, dividing by 3, we have the solution:
x = -1
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How do you solve for Y using elimination?
On solving the given system of equations 3x + 4y = -25 and 2x - 3y = 6 by using the elimination method , we get that the value of x is -3 and value of y is -4 .
The System of equations to be solved by elimination method is given as :
3x + 4y = -25 ....equation(1) and
2x - 3y = 6 ;.....equation(2)
By the method of elimination ;
we multiply the equation(1) by 2 ;
we get ⇒ 6x+8y = -50 ....equation(3) ;
we multiply the equation(2) by 3 ;
we get ⇒ 6x-9y = 18 ....equation(3) ;
Subtracting equation(4) from equation(3) ,
we get ;
⇒ 17y = -68 ;
⇒ y = -4 ,
Substituting y as -4 in the equation "2x - 3y = 6" , we get x = -3 .
The given question is incomplete , the complete question is
How do you solve the system of equations 3x + 4y = -25 and 2x - 3y = 6 , by using the elimination method ?
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its in the sreenshot because i didnt want to type
A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width
iS 10 inches. Find the length of the prism and explain how you found it.?
Answer:50400cm2
Step-by-step explanation:lxWxH
Answer:
The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.
Step-by-step explanation:
The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.
In 1945, a person made $3.20 for working an 8-hour day. model a division problem to determine how much a person made per hour in 1945. what is the hourly wage?
Answer:
$0.40 per hour
(This is 40cents per hour)
Step-by-step explanation:
The "hourly wage" is a rate, a ratio, a comparing of two numbers. We are comparing dollars and hours. So we have information given in the problem about the $ and hours. Compare these two numbers and then simplify. Because we need the hours, on the bottom, to be 1 hour. "Per hour" means per ONE hour.
dollars/hours
= $3.20/ 8hours
Divide.
= $0.40/1 hour
This is the hourly wage, $0.40 (or 40cents) per hour.
Mr. Wilson and Miss Krietz have homerooms with the same perimeter. Miss Krietz's homeroom has a length 1 1/4 times the length of Mr. Wilson's homeroom. What is the width, w, of Miss Krietz's homeroom?
Answer: 12.5
Step-by-step explanation:
Let's first find the perimeter.
P = 2l + 2w
Since Mr.Wilson's perimeter equals Ms.Krietz's, we can use the same number for both.
P = 2(30)+2(20) = 100
Since the length of Ms.Krietz's homeroom is 1.25x the length of Mr.Wilson's, we can substitute that
l = 1.25(30) = 37.5
100 = 2(37.5) + 2w
100 = 75 + 2w
25 = 2w
w = 12.5
Discuss the difference between r and p.r represents the p represents theChoose the correct answers below- critical value for the correlation coefficient. -population correlation coefficient. -sample correlation coefficient.
The difference between r and p. r represents the p represents the
Sample correlation coefficient.
Now, According to the question:
What is sample correlation coefficient?
The sample correlation coefficient (r) is a measure of the closeness of association of the points in a scatter plot to a linear regression line based on those points, as in the example above for accumulated saving over time
The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations. The population correlation coefficient uses the population covariance between variables and their population standard deviations.
Hence, The correct answer is : Sample correlation coefficient.
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Assuming no denominator equals zero, which expression is equivalent to the given expression?.
Assuming no denominator equals zero, b^4/a expression is equivalent to the given expression a^3b^5/ a^4b
Definition of Expression in Math? An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
The expression can be rewritten as ...
a^3b^5/ a^4b
The expression can be rewritten as ...
b^4/a
complete question
Assuming no denominator equals zero, which expression is equivalent to the given expression?.
a^3b^5/ a^4b
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Round 543,829 to the nearest 100 1,000 10,000
Answer:
540,000
Step-by-step explanation:
Determine the scale factor. Pre-Image: (-5, 3), (-2, 3), (-2, 1), (-5, 1) Image: (-10, 6), (-4, 6), (-4, 2), (-10, 2)
The scale factor, given the pre - image and the image, can be found to be 2.
How to find the scale factor ?The scale factor is the measure that either increases or decreases the size of a shape. When the scale factor is an integer then the size of the shape increases.
When the scale factor is a fraction with a larger denominator than numerator, the shape decreases.
To find the scale factor, look at the relationship between a point on the pre - image and the corresponding point on the image. For the points, ( -5, 3 ) and ( -10, 6 ) the scale factor would be :
= -10 / -5 or, = 6 / 3
= 2 = 2
The scale factor is therefore 2.
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