Answer: n=40
Step-by-step explanation:
let me know if i got this right for you broski
now dance
Give an algebraic proof for the triangle inequality ||v + w| < ||v|| + ||w|| Draw a sketch. Hint: Expand ||v + w||^2 = (v+w) · (v + w). Then use the Cauchy-Schwarz inequality.
An algebraic proof of the triangle inequality is ||u + v|| ≤ ||u|| + ||v||.
Let u and v be vectors in a vector space.
Using the properties of the inner product,
we have[tex],|u + v|² = (u + v) · (u + v)= u · u + u · v + v · u + v · v= |u|² + 2u · v + |v|²[/tex]
Now, take the square root of both sides of the above equation to get
|u + v| = sqrt(|u|² + 2u · v + |v|²) ≤ sqrt(|u|² + 2|u||v| + |v|²)= sqrt(|u|²) + sqrt(2|u||v|) + sqrt(|v|²) = |u| + |v|
Therefore, ||u + v|| ≤ ||u|| + ||v||. The equality holds if and only if u and v are linearly dependent.
Hence, the inequality is sometimes called the strict triangle inequality.
for such more questions on algebraic
https://brainly.com/question/395066
#SPJ11
a new surgery is successful of the time. if the results of such surgeries are randomly sampled, what is the probability that at least of them are successful? carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (if necessary, consult a list of formulas.)
The probability that at least one surgery is successful, given that a new surgery is successful 80% of the time, is 99.20%.
Let X denote the number of successful surgeries out of n randomly selected surgeries. The random variable X follows a binomial distribution. The probability of X = x successful surgeries out of n randomly selected surgeries is given by:
P(X=x)=nCxp^x(1−p)^n−x
where p is the probability that a new surgery is successful, and (1-p) is the probability that a new surgery is unsuccessful. In this case, p = 0.80 and (1-p) = 0.20. Let n = 5. Then, we have:
P(X≥1)=1−P(X=0)=1−nC0p0(1−p)n−0
=1−(0.20)5
=0.9936 ≈ 99.20%
Therefore, the probability that at least one surgery is successful is 99.20%.
To learn more about probability refer :
https://brainly.com/question/29350029
#SPJ11
The sum of two numbers is 425. Find the two numbers if 20% of the first number is equal to 30% of the second number.
Answer:
Let's call the first number x and the second number y.
From the problem, we know that:
x + y = 425 (the sum of the two numbers is 425)20% of x = 30% of y (20% of the first number is equal to 30% of the second number)To solve for x and y, we can start by expressing one variable in terms of the other, using one of the equations.
Rearranging the first equation to solve for x, we get:
x = 425 - y
Now we can substitute this expression for x into the second equation, and solve for y:
0.2x = 0.3y (substituting x = 425 - y)
0.2(425 - y) = 0.3y (distributing the 0.2)
85 - 0.2y = 0.3y (combining like terms)
85 = 0.5y (adding 0.2y to both sides)
y = 170 (dividing both sides by 0.5)
So the second number is 170. To find the first number, we can substitute this value back into the first equation:
x + y = 425 (substituting y = 170)
x + 170 = 425
x = 255
Therefore, the two numbers are 255 and 170.
n one region of the country, the mean length of stay in hospitals is 5.5 days with standard deviation 2.6 days. Because many patients stay in the hospital for considerably more days, the distribution of length of stay is strongly skewed to the right. Consider random samples of size 100 taken from the distribution with the mean length of stay, x, recorded for each sample. Which of the following is the best description of the sampling distribution of x ?a.Strongly skewed to the right with mean 5.5 days and standard deviation 2.6 daysb, Strongly skewed to the right with mean 5.5 days and standard deviation 0.26 dayc. Strongly skewed to the right with mean 5.5 days and standard deviation 0.026 dayd. Approximately normal with mean 5.5 days and standard deviation 2.6 dayse. Approximately normal with mean 5.5 days and standard deviation 0.26 day
(e): Approximately normal with mean 5.5 days and standard deviation 0.26 days.
What is standard deviation?
Standard deviation is a measure of the spread or dispersion of a set of data from its mean or average. It measures how far the values in a dataset are from the mean of the dataset.
The sample size needed for this approximation to hold depends on the shape of the population distribution, but a commonly used rule of thumb is that a sample size of at least 30 is sufficient for most cases.
In this case, the sample size is 100, which is larger than 30, so we can use the central limit theorem to approximate the sampling distribution of the sample mean.
The mean of the population distribution is 5.5 days, and the standard deviation is 2.6 days. The standard deviation of the sampling distribution of the sample mean can be approximated using the formula:
standard deviation of the sample mean = standard deviation of the population / square root of sample size
= 2.6 / sqrt(100)
= 0.26
Therefore, the best description of the sampling distribution of x is option (e): approximately normal with mean 5.5 days and standard deviation 0.26 days.
To learn more about standard deviation visit:
https://brainly.com/question/475676
#SPJ1
Consider the following differential equations. Determine if the Existence and Uniqueness Theorem does or does not guarantee existence and uniqueness of a solution of each of the following initial value problems.{eq}\begin{array}{l}{\frac{d y}{d x}=\sqrt{x-y}, \quad y(2)=2} \\ {\frac{d y}{d x}=\sqrt{x-y}, \quad y(2)=1} \\ {y \frac{d y}{d x}=x-1, \quad y(0)=1} \\ {y \frac{d y}{d x}=x-1, \quad y(1)=0}\end{array} {/eq}
Existence and Uniqueness Theorem the existence and uniqueness theorem is the most critical theorem in differential calculus. The theorem addresses how the existence and uniqueness of a solution to a first-order differential equation are affected by conditions such as continuity or Lipschitz continuity.
Determine if the existence and uniqueness theorem does or does not guarantee the existence and uniqueness of a solution to each of the following initial value problems.
1. The differential equation is
[tex]\frac{dy}{dx}=\sqrt{x-y}[/tex]
The condition of the theorem is fulfilled: The differential equation is continuous and the partial derivative [tex]\frac{\partial f}{\partial y}=\frac{-1}{2\sqrt{x-y}}[/tex] is continuous.
Therefore, the theorem guarantees the existence and uniqueness of the solution to the initial value problem.
2. The differential equation is
[tex]\frac{dy}{dx}=\sqrt{x-y}[/tex]
The condition of the theorem is not fulfilled.
[tex]\frac{\partial f}{\partial y}=\frac{-1}{2\sqrt{x-y}}[/tex] is not defined at [tex]x=y .[/tex]
Therefore, the theorem does not guarantee the existence and uniqueness of the solution to the initial value problem.
3. The differential equation is [tex]y\frac{dy}{dx}=x-1[/tex] The condition of the theorem is fulfilled: The differential equation is continuous and the partial derivative [tex]\frac{\partial f}{\partial y}=y[/tex] is continuous.
Therefore, the theorem guarantees the existence and uniqueness of the solution to the initial value problem.
4. The differential equation is
[tex]y\frac{dy}{dx}=x-1[/tex]
The condition of the theorem is not fulfilled [tex]\frac{\partial f}{\partial y}=y[/tex] and is not defined at y=0
Therefore, the theorem does not guarantee the existence and uniqueness of the solution to the initial value problem.
Learn more about the Existence and Uniqueness Theorem at: https://brainly.com/question/30417555
#SPJ11
What is the percent change of 31 to 7
The percent change of 31 to 7 is found as 77.42% which is percent decrease of the number.
Explain about percent change?You can determine the amount of change that has occurred over this time period if you have data at two points in time. The outcome is known as the rate of change, sometimes known as the percentage change, and is given in percentage form (in absolute numbers, it really is merely a difference).
Using a percentage is one method of calculating a percent of change. Keep in mind that a percentage indicates "per 100." You can rephrase your problem as a % out of 100 by first describing the change as a fraction and measuring the amount of change to the original.
Original number = 31
Final number = 7
percent change = (7 - 31)/31 *100
percent change = - 24*100 / 31
percent change = - 77.42
Here negative sign shows the percent decrease of the number.
Know more about the percent change
https://brainly.com/question/105388
#SPJ1
Use the equation to explain why the rule is a linear function
The linear function rule is y = (1/5)x - 5 .
What is a linear equation, exactly?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. There are numerous instances of linear equations, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3.
The graph of a linear function is a straight line.
f(0) = -5 means that (0,-5) is a point on the line. Similarly, (-5,-6) is also a point on the line.
Slope of line = m = [-6-(-5)]/[-5-0] = -1/(-5) = 1/5
Using the point-slope form, an equation of the line is:
y - (-5) = (1/5)(x - 0)
So, y = (1/5)x - 5
Learn more about linear function
brainly.com/question/20286983
#SPJ1
The complete question is -
Write a rule for a linear function y=f (x), given that f (0) =-5 and f (-5) =-6. Write answers using fractions or integers.
The function rule is f(x) =
IN A BOX PLOT , IF THE MEDIAN IS TO THE LEFT OF THE CENTER OF THE BOX AND THE RIGHT WHISKER IS SUBSTANTIALLY LONGER THAN THE LET WHISKER, THE DISTRIBUTION IS SKEWED LEFT OR RIGHT?
The distribution is skewed to the right.
How to find distribution is skewed?If the median is to the left of the center of the box and the right whisker is substantially longer than the left whisker in a box plot, then the distribution is skewed to the right.
This means that the majority of the data is clustered on the left side of the box plot and there are some extreme values on the right side that are causing the right whisker to be longer.
The median being to the left of the center of the box indicates that the data is not symmetric and is pulled to the left by the majority of the values.
Learn more about skewed distribution
brainly.com/question/1604092
#SPJ11
4. What is the solution to 2 + 3(2a + 1) = 3(a + 2)?
Answer:
a=1/3
Step-by-step explanation:
First, expand the brackets by doing multiplication:
2+6a+3=3a+6
Then, move the unknown to the left and the numbers to the right:
3a=6-5
3a=1
a=1/3
The solution to the given equation is -1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 2+3(2a+1)=3(a+2)
2+6a+3=3a+2
6a+5=3a+2
6a-3a=2-5
3a=-3
a=-1
Therefore, the solution to the given equation is -1.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
John Paszel took out a loan for 51 months but paid it in full after 25 months. Find the refund fraction he should use to
calculate the amount of his refund.
Answer: calculate the amount of his refund.
Step-by-step explanation:
Armando opened a new savings account with an initial deposit if $250. Which combination will result in a zero balance in armandos account?
A zero balance in Armando's account can be achieved by subtracting $250 from the account balance. This can be done through a combination of withdrawals and/or transfers out of the account.
What is subtracting?Subtracting is a mathematical operation that involves taking one number away from another. It is the inverse of addition, and is represented by the minus sign (-). Subtracting is used to determine the difference between two numbers, or to reduce a number by a given amount. In algebraic terms, subtracting is represented by the equation: a - b = c, where a is the starting number, b is the number to be subtracted, and c is the resulting difference. Subtracting can also be used on fractions, decimals, and other forms of numbers.
For example, Armando could make a $250 withdrawal from the account or transfer $250 to another bank account.
To learn more about subtracting
https://brainly.com/question/17301989
#SPJ1
pls help urgent
which expression can be used to find the surface area??(see pic)
An expression which can be used to find the surface area of the triangular prism include the following: C. 2(1/2 · 3 · 4) + 4 · 2 + 3 · 2 + 5 · 2.
How to calculate the surface area of the triangular prism?In Mathematics, the surface area of a triangular prism can be calculated by using this mathematical expression:
Total surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base area)
Total surface area of triangular prism = (S₁ + S₂ + S₃)L + bh
where:
b represent the bottom edge of the base triangle.h is the height of the base triangle.L represent the length of the triangular prism.S₁, S₂, and S₃ represent the three sides (edges) of the base triangle.By substituting the given parameters into the surface area of triangular prism formula, we have:
Surface area of triangular prism = Area (GFEH + BCEF + BIJC + ABF + ECD)
Surface area of triangular prism = 4 · 2 + 3 · 2 + 5 · 2 + (¹/₂ · 3 · 4) + (¹/₂ · 3 · 4)
Surface area of triangular prism = 2(1/2 · 3 · 4) + 4 · 2 + 3 · 2 + 5 · 2.
Read more on triangular prism here: brainly.com/question/21173224
#SPJ1
I need to show my work please help
Answer: m= 2 n =7
Step-by-step explanation:
i think to find the answer you can make the sides equal each other so 7m+4 = 9m 2m=4m m =2
and for the other angle
2n-1 = n+6 n - 1 = 6 n = 7
What is 252 divided by 9
Answer:
28 is the ans of 252÷9here we go
252 divided by 9 equals 28.
To divide 252 by 9, you can use long division, which involves dividing the number in steps until there is no remainder left.
Here's the step-by-step process:
Write down the dividend (252) and the divisor (9), and set up the long division format:
9 | 252
Look at the leftmost digit of the dividend (2) and see if it's divisible by the divisor (9). Since 2 is less than 9, we bring down the next digit (5) to the right of 2, making it 25.
9 | 252
2
Divide the new number (25) by the divisor (9). The result is 2, which is the first digit of the quotient. Multiply this result by the divisor (2 x 9 = 18) and write it below the 25, then subtract it from 25:
9 | 252
25
18
--
7
Bring down the next digit (2) from the dividend to the right of the remainder (7), making it 72. Now, divide 72 by 9, which gives you 8. Multiply this result by the divisor (8 x 9 = 72) and write it below the 72, then subtract it from 72:
9 | 252
25
18
--
72
72
---
0
There is no remainder left, and the dividend has been completely divided. The quotient is the result of the division, which is 28.
Therefore, 252 divided by 9 equals 28.
Learn more about long division click;
https://brainly.com/question/28824872
#SPJ6
In the figure below, m 24 = 106°. Find mZ1, m/2, and m 23. 1 X 3 2 ترا = 0° m 22 = ° m2 1 = m 23 = °
Answer:
m<1=74
m<2=106
m<3=74
Step-by-step explanation:
m<1:
=180-106
=74
m<2:
=106
m<3;
if m<1 is 74, m<s will also be 74
The blueprint of a triangular patio has side lengths 3.5 in., 3.5 in., and 5.25 in. If the shorter sides of the actual patio are each 10.5 ft long, how long is the third side?
The length of the third side of the actual patio is 15.75 feet.
What is similarity of triangle?In order to solve issues requiring proportional connections between the sides of two triangles, it is crucial to understand the idea of triangle similarity. If the matching sides and angles of two triangles are identical, then two triangles are said to be similar. When referring to similarities, the symbol is used.
Let us suppose the length of third side = x.
Given that, blueprint of a triangular patio has side lengths 3.5 in., 3.5 in., and 5.25 in.
Thus, the blueprint and the actual patio form two similar triangles.
The sides of the similar triangles are equal in ratio thus,
3.5/5.25 = 10.5/x
3.5x = 5.25 * 10.5
x = (5.25 * 10.5) / 3.5
x = 15.75
Hence, the length of the third side of the actual patio is 15.75 feet.
Learn more about congruency here:
https://brainly.com/question/7888063
#SPJ1
Find the volume of the cylinder given the height and radius shown.
14
21
Answer:
volume=12930.79
Step-by-step explanation:
[tex]v=\pi r^{2} h\\v=\pi (14)^{2} (21)\\v=12930.79[/tex]
-11 +23-46+ (-12)
how to solve it
Answer:
-46
Step-by-step explanation:
-11 +23-46+ (-12) =
12 - 46 + (-12) =
-34 - 12 =
-46
The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.
The figure shows an angle with a measure of 52 degrees.
A. Find the complement of the angle shown.
B. Find the supplement of the angle shown.
Show all your work.
The complement of the angle is 38 degrees and the supplement of the angle is 128 degrees.
Find the complement of the angle shown.The given angle is
Angle = 52 degrees
To find the complement of an angle, we need to subtract its measure from 90 degrees.
Therefore, the complement of an angle with a measure of 52 degrees is:
90 degrees - 52 degrees = 38 degrees
So, the complement of the angle shown is 38 degrees.
Find the supplement of the angle shown.To find the supplement of an angle, we need to subtract its measure from 180 degrees.
Therefore, the supplement of an angle with a measure of 52 degrees is:
180 degrees - 52 degrees = 128 degrees
So, the supplement of the angle shown is 128 degrees.
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
WILL YOU CRACK THE CODE ? 8 2 One number is correct and well placed One number is correct but wrong place Two numbers are correct but wrong places 3 8 Nothing is correct CODE 8 One number is correct but wrong place
Cracking the code: 8 2One number is correct and well placed One number is correct but in the wrong placeTwo numbers are correct but in the wrong place38Nothing is correctCODE8One number is correct but in the wrong placeCracking the code of this sequence of numbers can be a bit tricky, but let's do it step by step. We are given the following clues about the sequence of numbers:
One number is correct and well placed: Since the sequence of numbers is 8 2, we know that the number 8 is in the first position. So the code is either 8 _ _ _ or _ _ _ 8.One number is correct but in the wrong place: This clue tells us that the number 2 is not in the second position of the code, but it is somewhere else.
Therefore, we know that the code is not 8 2 _ _ or _ _ 2 8.Two numbers are correct but in the wrong places: This clue tells us that the code contains the numbers 3 and 8, but they are in the wrong position. Since the code cannot be 8 2 _ _ or _ _ 2 8, we know that the two correct numbers are not in the last two positions. Therefore, the code must be _ 3 8 _ or _ 8 3 _.Nothing is correct: This clue tells us that the code cannot be 3 8 _, 8 3 _, or _ 3 8 because they all contain at least one correct number. Therefore, the code must be _ _ 3 8 or 3 8 _ _.One number is correct but in the wrong place: This clue tells us that the code cannot be 3 8 _, so it must be 8 3 _. Therefore, the code is 8 3 _ _.I hope this helps you crack the code!
for such more questions on sequence of numbers
https://brainly.com/question/30983233
#SPJ11
The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17. The passing score was 111 or higher. Use the z-table to answer the question.
What percent of students passed the midterm?a. 10%
b. 50%
c. 70%
d. 62%
The percentage of students passing the partial exam is:
Option c. 70%
What is the percentage of students passing the partial exam?To answer this question, we use the Z-table. We have:
Given, mean (μ) = 120 and standard deviation (σ) = 17
Passing Score = 111
To find out what percentage of students passed the midterm, we need to find the probability that a score picked at random from the distribution is greater than or equal to 111. We can convert this score into a standard score (Z-score) using the Z-table. We have:
Z-score = (111 - μ) / σ
= (111 - 120) / 17
= -0.53
Using the Z-table, we can find the area (probability) to the left of this Z-score as follows:
Area to the left of Z-score = 0.2981 (from Z-table)
The area to the right of this Z-score (i.e. the probability that a score picked at random from the distribution is greater than or equal to 111) is:
Area to the right of Z-score = 1 - 0.2981
= 0.7019
= 70.19%
Therefore, the percentage of students who passed the midterm is approximately 70% (Option C).
More information about the percentage here: https://brainly.com/question/28952121
#SPJ11
Answer:
C. 70%
Step-by-step explanation:
Given ΔABC with measure of angle B equals 78 degrees, measure of angle C equals 52 degrees, and a = 16 inches, what is the length of b?
To find the length of side b in triangle ABC, we can use the Law of Sines. The length of side b is approximately 20.058 inches.
To find the length of side b in triangle ABC, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.
Using the Law of Sines, we have:
sin(A)/a = sin(B)/b
We are given the measure of angle B as 78 degrees and side a as 16 inches. We can substitute these values into the equation:
sin(A)/16 = sin(78)/b
To find sin(A), we can use the fact that the sum of the angles in a triangle is 180 degrees:
A + B + C = 180
A + 78 + 52 = 180
A = 180 - 78 - 52
A = 50 degrees
Now we can substitute the values into the equation again:
sin(50)/16 = sin(78)/b
To solve for b, we can cross-multiply and isolate b:
b = (16 * sin(78))/sin(50)
We can calculate the length of side b by evaluating this expression using a calculator. The measurement will be roughly 20.058 inches.
for such more question on length
https://brainly.com/question/24176380
#SPJ8
how many 5-letter passords can be made using the letters a thought z if... a) repetition of letters is allowed? b) repetition of letters is not allowed?
Answer:
Order is important: If allowed 11881376
Order is important:If rep. Is not allowed 7893600
Step-by-step explanation:
If the order isnt important and repetition is not allowed 65780
If order isn’t important and repetition is allowed 142506
please help fast I am baffled
The expression for the number of non-adult sizes is s - 19.
What are expressions?A value or amount is represented by an expression, which is a collection of numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. Calculations, complicated mathematical equations, and issues in a variety of disciplines, including science, engineering, economics, and statistics, may all be solved using expressions. Functions that depict a connection between variables, such as sin(x) and log(x), can also be included in expressions. Expressions are frequently employed to simulate real-world circumstances and provide predictions based on mathematical analysis.
Given that the total number od sweatshirts = s.
The number of non-adult sweatshirts can be calculated by:
Number of non-adult sizes = Total number of sweatshirts sold - Number of adult sizes
= s - 19
Hence, the expression for the number of non-adult sizes is s - 19.
Learn more about mathematical expressions here:
https://brainly.com/question/28980347
#SPJ1
twenty-five percent of the employees of a large company are minorities. a random sample of 7 employees is selected. what is the probability that the sample contains exactly 4 minorities?
The probability that the sample contains exactly 4 minorities is 0.0577
How to find the probability?We know that 25% of the employees of a large company are minorities. So, from any set of N employees that we ranodmly select from that large company, we can estimate that the number of minorities there is:
0.25*N
Now, we want to find the probability that the sample contains exactly 4 minorities.
Then we need to compute:
[tex]P = 0.25^4*0.75^3[/tex]
We also need to count the permutations for that probability, then we need to add the factor:
[tex]P = 0.25^4*0.75^3*(\frac{7!}{4!*3!} )[/tex]
Solving that we will get:
[tex]P = 0.25^4*0.75^3*(\frac{7!}{4!*3!} )\\\\P = 0.25^4*0.75^3*(\frac{7*6*5}{3*2} )\\\\P = 0.0577[/tex]
That is the probability.
Learn more about probability at:
https://brainly.com/question/25870256
#SPJ1
if you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a diamond or 9? (your answer must be in the form of a reduced fraction.)
The probability of selecting a diamond or 9 is 1/13.
Step by step explanation: There are 4 suits (diamonds, clubs, hearts, and spades) and 13 ranks (2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace). The probability of selecting a card from a standard deck of 52 cards is 1/52.
To calculate the probability of selecting a diamond or a 9, you must first calculate the total number of diamonds and nines in the deck, which is 8 (4 diamonds and 4 nines). The probability of selecting a diamond or 9 is 8/52, which reduces to 1/13.
See more about probability at: https://brainly.com/question/24756209
#SPJ11
plese help with the following questions PLESE
Assignment:
Sebastian Salazar opened a Sporting Goods Store. He has some new inventory that needs to be priced. He also has some seasonal inventory that hasn’t sold and he needs to put them on sale.
Help Sebastian with his pricing questions:
1. The retail prices are: $44.36, $34.10 and $67.57
2. The sales prices are: $263.20 and $65.59
Define the term retail price?Retail price refers to the price at which a product or service is sold to the final consumer by a retailer. This price includes the cost of production, transportation, marketing, and other related expenses, as well as a markup to generate profit for the retailer.
1. New Items - Calculate Retail Prices
Item Wholesale Mark Up Calculation Retail
Cost ($) Percent% Price ($)
a. Louisville $22.75 95% 22.75+(95%×22.75) =$44.36
Slugger bat and
batting glove set
b. Wilson $11.00 210% 11+(210%×11) =$34.10
Basketball
c. Element $26.50 155% 26.50+(155%×26.50) =$67.57
Skateboard
2. Items on sale - Calculate Sale Prices
Item Retail Discount Calculation Sales
price ($) Percent % Price ($)
a. Head $329.00 20% 329-(20%×329) $263.20
Snowboard
b. Kelly $79.99 18% 79.99-(18%×79.99) $65.59
Ski poles
All data is filled in below table.
To know more about sales price, visit:
https://brainly.com/question/26008313
#SPJ1
Sarah is a healthy baby who was exclusively breast-fed for her first 12 months. Which of the following is most likely a description of her weights (at 3, 6, 9, and 12 months of age) as percentiles of the CDC growth chart reference population? 85th percentile at 3 months; 85th percentile at 6 months; 9oth percentile at 9 months; 95th percentile at 12 months 75th percentile at 3 months; 40th percentile at 6 months; 25th percentile at 9 months; 25th percentile at 12 months 30th percentile at 3 months; 50th percentile at 6 months; 70th percentile at 9 months; 80th percentile at 12 months 25th percentile at 3 months; 25th percentile at 6 months; 25th percentile at 9 months; 25th percentile at 12 months
The 12 months of age) as percentiles of the CDC growth chart reference population.
The most likely description of Sarah's weights (at 3, 6, 9, and 12 months of age) as percentiles of the CDC growth chart reference population is: 85th percentile at 3 months; 85th percentile at 6 months; 90th percentile at 9 months; 95th percentile at 12 months.What is percentile in statistics?In statistics, a percentile is a value below which a specific percentage of observations in a group falls. It is used to split up data into segments that represent an equal proportion of the entire group, resulting in a data set split into 100 equal portions, with each portion representing one percentage point. Sarah's weight is in the 85th percentile at 3 months, 85th percentile at 6 months, 90th percentile at 9 months, and 95th percentile at 12 months is a most likely description of her weights (at 3, 6, 9, and 12 months of age) as percentiles of the CDC growth chart reference population.
Learn more about Percentiles
brainly.com/question/28800128
#SPJ11
Write the HCF of x
3y
4z
2 and x
2y
3z
5, where x, y, z are
distinct prime numbers
the HCF of x, 2y, 3y, 4z, x², 3z, and 5, where x, y, z are
distinct prime numbers is 1.
To find the highest common factor (HCF) of the given numbers, we need to find the common factors of each pair of numbers and then find the highest common factor of all the resulting common factors.
First, let's find the prime factors of the given numbers:
x = a prime number (distinct from y and z)
2y = 2 × y
3y = 3 × y
4z = 2² × z
3z = 3 × z
x² = a prime number squared (distinct from y and z)
5 = a prime number
Next, we can pair up the numbers and find their common factors:
Common factors of x and 2y: 1, 2, y
Common factors of 3y and 4z: 1, 2, 3, y, z, 6
Common factors of x² and 3z: 1, 3, x, z, xz
Common factors of 5 and 2: 1
Finally, we find the highest common factor of all the resulting common factors:
The highest common factor of x, 2y, 3y, 4z, x², 3z, and 5 is 1, since it is the only factor that is common to all the pairs.
Therefore, the HCF of x, 2y, 3y, 4z, x², 3z, and 5 is 1.
To learn more about prime numbers click here
brainly.com/question/30358834
#SPJ4
Solution of inequality ((x - 1)(x - 5))/(x - 3) > 0
Answer:
(1, 3) ∪ (5, ∞)
Step-by-step explanation:
You want the solution to the inequality ((x -1)(x -5))/(x -3) > 0.
Sign changesThe sign of the function changes at values of x that make the factors zero, at x = 1, 3, 5. The function is positive for x > 5, so will also be positive for 1 < x < 3
The solution is ...
1 < x < 3 or 5 < x
__
Additional comment
If any linear factor has an even degree (even multiplicity), there will not be a sign change. The numerator factors correspond to function zeros. The denominator factors correspond to function vertical asymptotes.
The attached graph shows zeros at x=1 and x=5, and a vertical asymptote with a sign change at x=3.