Both abbreviations are correct:
PEMDAS stands for:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionBODMAS stands for:
BracketsOrdersDivisionMultiplicationAdditionSubtractionWhich is correct: Pemdas or Bodmas?PEMDAS and BODMAS are both mathematical acronyms that are used to help people remember the order of operations when solving a math problem.
The order of operations should be followed when solving an equation because it ensures that the problem is solved correctly and accurately. It is important to remember that both acronyms represent the same order of operations, and that each step should be followed in the order given.
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PEMDAS stands for
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
BODMAS stands for
Bracket
Orders
Division and Multiplication
Addition and Subtraction
Both of these are the same, just a different acronym and way of representing them.
Which of the following best describes a function? A function is any mathematical formula or graph. A function is any mathematical rule. A function is a formula that involves variables. A function is a rule that for each input has at most one output.
A function is a rule that for each input has at most one output.
Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.
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what is 3 divided by 1/3; 9 divided by 1/4; 1/8 divided by 4; 12 divided by 1/3
12 divided by 1/3 is 1
9 divided by 1/4 is 2.25
1/8 divided by 4 is 0.5
12 divided by 1/3 is 4
Division:
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another. This number of times need not be an integer.
given that
3 divided by 1/3
3× 1/3 = 1
9 divided by 1/4
9 × 1/4 = 2.25
1/8 divided by 4
4 × 1/8 = 0.5
12 divided by 1/3
12 × 1/3 = 4
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if the number of data observations is even, the median is generally considered to be the average of the first and last values
False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.
The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.
At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.
Even Number of Observations :
Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?
wages are 120,240,500,400
we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and
(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.
Therefore, the median is 240+500/2
= 370.
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Complete question
True/false
if the number of data observations is even, the median is generally considered to be the average of the first and last values
Solve for h when they are similar triangles and 2 sides are given
The value of h is 70/17 if they are similar triangles and two sides are given in the figure.
What is a triangle?Three edges and three vertices make up a triangle, which is a polygon.
In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and that triangle is contained in just one plane. All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except as specifically stated, this article is about triangles in the Euclidean plane and general Euclidean geometry.
Given,
The figure has two similar triangles.
Here in the question the two sides are given,
We have the condition,
1/AB +1/PC=1/MN
From the figure,
(1/7)+(1/10)=(1/h)
17/70=1/h
h=70/17
Therefore, the value of h is 70/17 if they are similar triangles and two sides are given in the figure.
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evaluate 5^2 i need this quiick
Answer:
25
Step-by-step explanation:
[tex]5^{2}[/tex] = 5x5 = 25
9. What is the slope of the line that passes through the pair of points ( 3/2,-2) and (-3, 7/3)?
0 -27/26
0 -26/27
0 26/27
0 27/26
Answer: -26/27
Step-by-step explanation:
The function gives the cost, in dollars, to produce a particular product, where C(z) is the cost, in dollars. to produce units of the product. The function M defined by M (a)=C(+1) Cla) cives the marginal cost in dollars, to produce un number + 1 Which of the following gives the best estimate for the marginal cost in dollars, to produce the 57th unit of the product? CAT C C'(56) DC) - C(86)
The best estimate for the marginal cost in dollars, to produce the 57th unit of the product is C'(57) - C'(56). This is also known as the difference in cost between producing the 57th unit and the 56th unit, and is represented by the expression C'(57) - C'(56).
The marginal cost of producing a particular unit of a product is the cost of producing that unit minus the cost of producing the previous unit. So to find the marginal cost of producing the 57th unit of the product, you can subtract the cost of producing the 56th unit from the cost of producing the 57th unit.
This means that the best estimate for the marginal cost of producing the 57th unit of the product is given by:
M(57) = C(57) - C(56)
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when should we solve a system by multiplication/division?
Answer:
If you don't have equations where you can eliminate a variable by addition or subtraction you directly you can begin by multiplying one or both of the equations with a constant to obtain an equivalent linear system where you can eliminate one of the variables by addition or subtraction.
Adding or subtracting two equations in order to eliminate a common variable is called the elimination method. Once one variable is eliminated, it becomes much easier to solve for the other one. Multiplication and division can be used to set up matching terms in equations before they are combined.
Step-by-step explanation:
I hope this helps! :) If it does could you please mark me brainliest?
What's the sum of ⅜ and ¼6?
O A. ½4
О B.¼
О C.⅙
O D. ¼6
Step-by-step explanation:
Very simple… first convert everything to the same denominator…
1/8 + 2/8 + 3/8… Add the numerators together, and you get 6/8.
Simplify 6/8 to its lowest form… and your answer is ⅙ !
I need help with this problems i dont understand what they are asking
Answer: #48 <FBE
Step-by-step explanation:
Which is an example of the commutative property of addition?
A. 4+(1+2)=(4+1)+2
B. 2+2=3+1
C. 2+3=2+4
D. 4+3=3+4
The example of the commutative property of addition is option (D) 4 + 3 = 3 + 4
The commutative property of the addition states that changing the order of the numbers or the variable does not affect the result of sum
The commutative property of addition is
A + B = B + A
Here the position of the variable A and B are changed but still the result is same
From the given option
The example that shows the commutative property of addition is
4 + 3 = 3 + 4
Here the position of the 3 and 4 changed, but the result will be
7 = 7
Therefore, the correct example is option D) 4 + 3 = 3 + 4
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A study found that 50 pedestrians gave more money to a street beggar if the beggar had a cute and hungry-looking dog with them compared to if they were alone. The gender of the pedestrians was also noted. Which of the following sentences describes a simple effects analysis on these data? A The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians B The difference in donations when the beggar had a dog compared to not C Using a graph to do a simple inspection of the mean donations from male and female pedestrians when the beggar had a dog or was alone D The relative difference between male donations and female donations when the beggar had a dog compared to not
The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians is a simple effects analysis on these given data. So the option A is correct.
There are two degrees of gender representation when comparing women and men. Each independent variable in an experiment comparing the effects of a drug to a control group receiving no treatment can have two or more levels.
Street beggars and panhandlers collectively carry a lot of stigma. This study is based on an ethnographic street survey of local panhandlers who are homeless. These frequent exchanges between certain street people and certain.
A simple effect analysis is "The difference in donations between having a dog and not, measured individually for male and female pedestrians."
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Determine which is the graph of the given function. f(x)= {2x+5 if x <0},f(x) = {5 if 0 <=x<=10}, f(x) = {2x-10 if x >10}
The graph of the piece-wise function in this problem is given by the image shown at the end of the answer.
How to graph the piece-wise function?A piece-wise function is a function that has different definitions, based on the input values (values of x) of the function.
The function in this problem has three definitions, given as follows:
Left of x = 0.Between x = 0 and x = 10. (closed).Right of x = 10.The behavior for each definition is given as follows:
Left of x = 0: increasing with a slope of 2 and intercept of 5.Between x = 0 and x = 10: constant at y = 5.Right of x = 10: increasing with slope of 2 and intercept of -10.Then, considering these three definitions, the graph of the function is presented at the end of the answer.
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Natural cork in wine bottles is subject to deterioration, and as a result wine in such bottles may experience contamination. The article "Effects of Bottle Closure Type on Consumer Perceptions of Wine Quality" (Amer. J. of Etiology and Viticulture, 2007: 182-191) reported that, in a tasting of commercial chardonnays, 16 of 91 bottles were considered spoiled to some extent by cork-associated characteristics. Does this data provide strong evidence for concluding that more than 15% of all such bottles are contaminated in this way? a. Carry out a hypothesis test (clearly write down each of the 4 steps for the hypothesis test) to decide whether more than 15% of all such bottles are contaminated. Use significance level of 0.05 b. Verify the test you use is appropriate. For example, if you use a t-test or z-test, verify the corresponding conditions.
There is insufficient evidence that more than 15% of all such bottles are contaminated.
So, we do not reject the null hypothesis.
Part A
Here, we have to use z test for population proportion.
The null and alternative hypothesis for this test is given as below:
Null hypothesis: H0: p = 0.15
Alternative hypothesis: Ha: p > 0.15
The test statistic formula is given as below:
Z = (P – p) / √(pq/n)
Where, P = sample proportion, p = population proportion, q = 1 – p, n = sample size
For the given data we have
Alpha = 0.05
Number of items of interest = x = 16
Sample size = n = 91
Sample proportion = 16/91 = 0.175824
Standard error = √(pq/n) = √(0.15*0.85/91) = 0.0374
Z = (0.175824 – 0.15) / 0.0374
Z = 0.6899
P-value = 0.2451
P-value >α
So, we do not reject the null hypothesis
There is insufficient evidence that more than 15% of all such bottles are contaminated.
Part b
Here, z test is appropriate.
Because two conditions are satisfied as below:
np = 91*0.15 = 13.65 > 5
nq = 91*0.85 = 77.35 > 5
Hence we get the required answer.
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Find the solutions of the equation in the interval [−2, 2]. Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.)
The value of x for the given trigonometric function is (15/18)π.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right angle.
As per the given,
secx = (-2√3)/3
1/cosx = -2/√3
cosx = -√3/2
x = 150° = (15/18)π
Thus, x goes into the second quadrant as shown below.
Hence"The value of x for the given trigonometric function is (15/18)π".
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During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card?
A. 15
B. 30
C. 45
D. 50
HINT
Method 1: Set up a proportion and cross multiply. Method 2: Convert the
45 people used credit card on that particular day , this could be found out using simplified multiplication.
What is proportion?
A quantitative relation is an ordered try of numbers a and b, written a / b wherever b doesn't equal zero.
A proportion is an equation within which 2 ratios ar set up to one another.
Main body:
We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.
To find the number of people, who used credit card, we will find 75% of 60.
The number of people who used credit card = (75 / 100 )* 60
The number of people who used credit card = 0.75 *60
The number of people who used credit card = 45
Therefore, 45 people used credit card on that particular day.
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Find the following
I need help with this 2 questions
The value of x is 15. The measurement of m∠M = 20°
What is an equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60° and congruent with the others.
The length each side of △ABC is 9 units.
Thus it is an equilateral triangle. The measurement of each angle is 60°.
Given that, ∠ABC = 4x°.
Therefore, 4x° = 60°
Divide both sides by 4:
x = 15
43)
Given that, △LMN and △QRS are congruent triangle.
∠MNL = ∠QRS = 90°.
∠MLN = ∠QSR = 70°
and ∠NML = ∠RQS = x° (say)
The sum of all three angles of a triangle is 180°.
∠MNL + ∠MLN + ∠NML = 180°
90° + 70° + x° = 180°
Add like terms:
160° + x° =180°
Subtract 160° from both sides:
x° = 20°
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b. How much force is needed to push it up the incline (neglect friction)?
answer to the question is 250 newtons
the answer is actually 200 newtons
John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?w(w – 2) = 48w(w + 2) = 482w(w – 2) = 482w(w + 2) = 48
The equation to solve the width of rectangle created by John from 48 square centimetre tiles is w(w+2) = 48
and the greatest width in centimetres use for mosaic is 6 cm.
We have given that
John wants to create a mosaic of rectangular shape.
total area of tile(A) = 48 square centimetre
let l and w be length and width of rectangle
length of rectangle is 2 cm longer than width then length of rectangle (l) =( w+2) cm
Area oa rectangle (A) = l × w
=> (w+2) × w = 48
=> w²+ 2w = 48
which is quadratic equation , solve it
w² + 2w - 48 = 0
=> w² - 6w + 8w - 48 = 0
=> (w-6) (w+8) = 0
=> w = 6, -8
Hence, the required equation is w(w+2) = 48 and width of rectangle is 6cm.
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Tyler has a pitcher of 12 liters of lemonade. Tyler pours an equal amount of lemonade into
3 cups. Afterward, there is liter of lemonade remaining in the pitcher. How many liters
of lemonade are in each cup?
Answer:
[tex] \frac{17}{36} [/tex]
Step-by-step explanation:
- 1 and 3/4 can be made into an improper fraction, 7/4
- 7/4 = 3x + 1/3, where x is equal to the amount of liters in each cup, 7/4 represents the total amount of lemonade in both the pitcher and cups, and 1/3 represents the amount of lemonade left over.
- Solve for x:
7/4 - 1/3 = 3x
21/12 - 4/12 = 3x
17/12 = 3x
x = 17/36
Which of the following always lie in the triangle?
Centroid and Incentre always lie inside the triangle.
What is Centroid of a triangle?The centroid is the center point of the object. The point in whereby the three medians of the triangle intersect is called the centroid of a triangle. It is also described as the point of intersection of all the three medians. The median is a line which joins the midpoint of a side and the opposite vertex of the triangle.
What is Incentre of a triangle?
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be described as the point in which the internal angle bisectors of the triangle cross.
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Khalil's mortgage payment was originally $2,760 per month. Now, after refinancing his home loan, Khalil's mortgage payment is $3,036. What is the percent of increase in Khalil's mortgage payment?
Answer:
it is a 10% increase.
Step-by-step explanation:
3,036 - 2,760 = 276
276/2,760 · 100 = 10%
4. How many 2 digit numbers
have both 4 and 5 as factors?
Answer: 20 80
Step-by-step explanation:
So two 2-digit numbers
given that l has been defined to refer to a list, write an expression whose value is a set containing all the elements of l.
For given that L has been defined to refer to a list , the expression whose value is a set containing all the elements of L is
set = { 1,2,3,4}
Writing List in Python :Lists are used to store multiple items in one variable. Lists are one of Python's four built-in data types used to store collections of data, the other three being tuples, sets and dictionaries, all of different qualities and uses.
A list is a container which holds comma-separated values (items or elements) between square brackets where items or elements need not all have the same type.
#Programme representation
Input:
#Python code
#A list L is initialised
L = [ 3,4,2,1 ]
#set L containing all elements of list L
print(str(set(L)))
Output:
{ 1, 2, 3, 4 }
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2.81 as a mixed number
The mixed number of 2.81 is 2 whole number 81 by 100 or [tex]2\frac{81}{100}[/tex].
What is whole number?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
Given number is 2.81.
The number 2.81 can be written as 2 + 0.81.
The number of digits after decimal point is 2.
To convert 0.81 into fractional form, divide 81 by 100.
2 + 0.81 = 2 + (81/100)
The mixed number of 2.81 is [tex]2\frac{81}{100}[/tex].
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students with above-average scores on exam 1 in stat 001 tend to also get above-average scores on exam 2. but the relationship is only moderately strong. in fact, a linear relationship between exam 2 scores and exam 1 scores explains only 36% of the variance of the exam 2 scores.
The correlation between Exam 1 scores and Exam 2 scores is r = .6
The standard mistake of the relapse is the typical distance that the noticed qualities tumble from the relapse line. For this situation, the noticed qualities fall a normal of 4.89 units from the relapse line. Variance is a proportion of how information focuses varies from the mean. As indicated by Layman, a difference is a proportion of how far a bunch of information (numbers) is fanned out from their mean (normal) esteem. Fluctuation means to track down the normal distinction of deviation from real worth. Hence, the correlation between Exam 1 scores and Exam 2 scores is r = .6
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g is the centroid of triangle abc.what is the value of x? what is the length of segment dg? unitswhat is the length of segment ag? unitswhat is the length of segment ad? units
g is the centroid of triangle abc, the value of x is 2/3.
The length of segment DG is (2/3) * (length of AB) ,The length of segment AG is (1/3) * (length of AB),The length of segment AD is (1/3) * (length of AB).
The centroid of a triangle is the point at which the three medians of the triangle intersect each other. In other words, it is the point of intersection of the three lines which each divide the opposite side of the triangle into two equal parts.
Let us consider a triangle ABC with vertices A (a1, b1), B (a2, b2), and C (a3, b3). The x coordinate of the centroid G (x, y) is given by:
x = (a1 + a2 + a3) / 3
The y coordinate of the centroid G (x, y) is given similarly as x
In your question, the x coordinate of the centroid G is given as x = 2/3. This means that the x coordinate of G is 2/3 of the way between A and B.
Therefore, the length of segment DG is (2/3) * (length of AB).
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Suppose U1, U2, ..., Un are independent random variables and for every i = 1, ..., n, Ui has a uniform distribution over [0, 1].
(a) Find the probability density function of M = max(U1, ..., Un). (We solved the case n = 2 in class. This a generalization.)
(b) Define Z = min(U1, ..., Un). Find the c.d.f. and the p.d.f of Z. (Hint: write the event {Z > z} in terms of random variables U1, ..., Un.)
The probability density function will be expressed as f_M(x) = n * x^(n-1) and cumulative density function is f_Z(z) = n * (1-z)^(n-1).
To find the probability density function of M, we need to find the probability that M takes on a particular value x, which is equal to the probability that all of the random variables U1, ..., Un are less than or equal to x. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is less than or equal to x. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is less than or equal to x is simply x. Therefore, the probability that M takes on a particular value x is equal to x^n.
This means that the probability density function of M is given by:
f_M(x) = n * x^(n-1)
for x in the range [0, 1].
For the second part of the question, we want to find the cumulative distribution function (c.d.f.) and probability density function (p.d.f.) of Z = min(U1, ..., Un). We can find the c.d.f. of Z by finding the probability that Z is less than or equal to a particular value z. This is equal to the probability that all of the random variables U1, ..., Un are greater than or equal to z. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is greater than or equal to z. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is greater than or equal to z is simply 1-z. Therefore, the probability that Z is less than or equal to z is equal to (1-z)^n.
This means that the cumulative distribution function of Z is given by:
F_Z(z) = (1-z)^n
for z in the range [0, 1].
To find the probability density function of Z, we can differentiate the cumulative distribution function with respect to z. This gives us:
f_Z(z) = n * (1-z)^(n-1)
for z in the range [0, 1].
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A rectangle is 4 feet longer than it is wide. If the area of the rectangle must be less than or equal to 672 square feet, find the possible values for the width .
The possible values for the width of rectangle are 24 and -28.
What is area of rectangle?
The area of a rectangle formula. Area of a Rectangle is A = l × b. Once the length and width of a rectangle are known, the area can be calculated. The area of the rectangle is calculated as a square unit by multiplying the length and width.
Let x is the width of rectangle.
As given a rectangle length is 4 feet longer than it is wide.
⇒ l = 4 + x
Since,
Area of rectangle = length x width
672 = (4 + x) x x
672 = 4x + x^2
x^2 + 4x - 627 = 0
To find the value of x we can use the quadratic formula.
Here a = 1, b = 4, c = -672
[tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\x = \frac{-4+-\sqrt{4^2-4(1)(-672)} }{2(1)} \\x = \frac{-4+-\sqrt{2704} }{2} \\x = \frac{-4+-52}{2} \\x = -2+-26[/tex]
⇒ x = -2 + 26, x = -2 - 26
⇒ x = 24, x = -28
Hence, the possible values for the width of rectangle are 24 and -28.
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Solve the inequality -5n<- 15
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The solution for the inequality -5n < -15 is n < 3.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
-5n < -15
Divide both sides by -5.
n < -15/-5
n < 3
This means,
n is greater than 3.
We can represent this on a number line.
<-------__-1__0__1__2__3__4__5__6__7------>
o------------------->
Thus,
The solution for the inequality -5n < -15 is n < 3.
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