Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?
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Related Questions
use the alternating series estimation theorem or taylor's inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. question 2 options: -1.739 < x < 1.599 -1.669 < x < 1.669 -0.669 < x < 2.669
Answers
we can apply the appropriate theorem to determine the range of values of x for which the approximation is accurate to within the given error.
WithoutWithout the given approximation or error, it is difficult to provide an exact answer to this question. However, we can use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within a given error bound.
The Alternating Series Estimation Theorem states that the error in approximating a convergent alternating series is bounded by the absolute value of the next term in the series. Taylor's Inequality is a more general form of this theorem that can be applied to non-alternating series as well.
To estimate the range of values of x, we would need to know the specific function being approximated, the center of the series expansion, and the error bound. Once we have this information, we can apply the appropriate theorem to determine the range of values of x for which the approximation is accurate to within the given error.
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Chau made $252 for 18 hours of work.
At the same rate, how much would he make for 9 hours of work?
Answers
Answer:
$126.00
Step-by-step explanation:
divde by 2
If the plane r = (-1,2,1) + s(3,4,0) + t(0,1,-1), s, TER: What is the cartesian equation of the plane? If the point is D(6,-9,10), Is it on the plane?
Answers
The Cartesian equation of the plane is: -4x + 3y + 3z + 21 = 0
The equation holds true, the point D(6, -9, 10) lies on the plane.
To find the Cartesian equation of the plane, we need to determine the coefficients of the variables x, y, and z in the equation of the plane.
The plane is defined by the point (-1, 2, 1) and the direction vectors (3, 4, 0) and (0, 1, -1).
To find the normal vector of the plane, we can take the cross product of the two direction vectors:
N = (3, 4, 0) × (0, 1, -1)
N = (4 * (-1) - 0 * 1, -(3 * (-1) - 0 * 0), 3 * 1 - 4 * 0)
N = (-4, 3, 3)
The Cartesian equation of the plane can be written as:
-4x + 3y + 3z + D = 0
To determine the value of D, we substitute the coordinates of the given point D(6, -9, 10) into the equation:
-4 * 6 + 3 * (-9) + 3 * 10 + D = 0
-24 - 27 + 30 + D = 0
-21 + D = 0
D = 21
Therefore, the Cartesian equation of the plane is:
-4x + 3y + 3z + 21 = 0
To check if the point D(6, -9, 10) is on the plane, we substitute its coordinates into the equation:
-4 * 6 + 3 * (-9) + 3 * 10 + 21 = 0
-24 - 27 + 30 + 21 = 0
0 = 0
Since the equation holds true, the point D(6, -9, 10) lies on the plane.
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The Cartesian equation of the plane is: -4x + 3y + 3z + 21 = 0
The equation holds true, the point D(6, -9, 10) lies on the plane.
How to find the Cartesian Equation?In order to get the Cartesian equation of the plane, we need to find the coefficients of the variables x, y, and z that are in the equation of the plane.
We are told that the plane is the plane r = (-1,2,1) + s(3,4,0) + t(0,1,-1)
Thus, the point of the plane is (-1, 2, 1) and its' direction vectors (3, 4, 0) and (0, 1, -1).
We will get the normal vector of the plane, by finding the product of the two direction vectors as:
N = (3, 4, 0) × (0, 1, -1)
N = (4 * (-1) - 0 * 1, -(3 * (-1) - 0 * 0), 3 * 1 - 4 * 0)
N = (-4, 3, 3)
The Cartesian equation of the plane is expressed as:
-4x + 3y + 3z + D = 0
To find the value of D, we will substitute the coordinates of the given point D(6, -9, 10) into the equation to get:
(-4 * 6) + (3 * (-9)) + (3 * 10) + D = 0
-24 - 27 + 30 + D = 0
-21 + D = 0
D = 21
Therefore, the Cartesian equation of the plane is expressed as:
-4x + 3y + 3z + 21 = 0
To check if the point D(6, -9, 10) is on the plane, we substitute its coordinates into the equation:
(-4 * 6) + (3 * (-9)) + (3 * 10) + 21 = 0
-24 - 27 + 30 + 21 = 0
0 = 0
Due to the fact that the equation holds true, the point D(6, -9, 10) is said to lye on the plane.
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James purchases 500 vinyl records for $25.00. Which statement describes a unit rate for his purchase? (choose all answers that apply)
Question 9 options:
500 vinyl records$25
20 vinyl records$1
$1005 vinyl records
$0.05 1 vinyl record
Answers
Answer:
500 vinyl records for $25 and 20 vinyl records for $1
Step-by-step explanation:
you have to multiply 500 by 25 and you get 20 records forjust 1 dollar
A bag contains pennies nickels and dimes there are 50 coins in all of the coins 16% are pennies and 36%are dimes there are 6 more buckles then Pennies how much money does the bag contain?
Answers
Answer:
The bag contains $2.39
Explanation 40% of 50 coins is 20 dimes which equals 2 dollars
8 percent is 4 pennies
2.00+ .04 is 2.04
Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35
2.04+.35= 2.39
Write an expression that is equivalent
to 2/8b+(3/8b+4/5)
Answers
Answer: 5/8b + 4/5
EXPLAIN: It's too easy explain it yourself. (LOL)
The value of the equation is A = ( 5/8 )b + 4/5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( 2/8 )b + ( 3/8 )b + ( 4/5 ) be equation (1)
On simplifying the equation , we get
A = [ ( 2/8 )b + ( 3/8 )b ] + 4/5
A = ( 5/8 )b + ( 4/5 )
On further simplification , we get
A = ( 25b + 32 ) / 40
Therefore , the value of A is ( 5/8 )b + ( 4/5 )
Hence , the equation is A = ( 5/8 )b + ( 4/5 )
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As a town gets smaller, the population of its high school decreases by 7% each year. The senior class has 320 students now. In how many years will it have about 100 students? Write
an equation. Then solve the equation without graphing.
Write an equation to represent this situation. Let n be the number of years before the class will have 100 students.
(Type an equation using n as the vanable. Use integers or decimals for any numbers in the equation)
Help again please
Answers
Therefore, in about 15 years and 2 months, the senior class will have about 100 students.
What is equation?An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.
Given by the question.
Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).
Then, we can write the following equation to represent the situation:
P\((1-r)^{n}\) = 100
We know that the current population of the senior class is 320, so we can substitute these values into the equation:
320\((1-0.07)^{n}\) = 100
Simplifying the equation, we get:
\(0.93^{n}\) = 0.3125
Taking the natural logarithm of both sides, we get:
n ln (0.93) = ln (0.3125)
Dividing both sides by ln (0.93), we get:
n = ln (0.3125) / ln (0.93)
Using a calculator, we find that n is approximately equal to 15.21 years.
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Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9. 50. The tax was 6. 2%. What was the total amount Sandra paid for her meal? Enter your answer in the box.
Answers
Percentage represents a part of a whole. The total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.
What is the percentage?The percentage is a way to represent a part of a whole. for example, one-fourth of an area A can be written like 25% of A(0.25 A).
Give to us
Sandra ordered a slice of pizza with a side salad for $9.50.
The tax was 6. 2%.
The amount of tax that Sandra needs to pay,
\(6.2\%\ of\ \$9.50\\\\=0.062 \times 9.50\\\\= \$0.589\)
As we know that tax is the extra cost that we need to pay, therefore, the total amount Sandra needs to pay,
Total Amount = Cost + tax
= $9.50 + $0.589
= $10.089 ≈ $10.09
Hence, the total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.
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how to convert 1km/min to km/h
Answers
Answer:
Step-by-step explanation:
1 Km / min
In one minute the distance traveled = 1 km
In 60 minute the distance traveled = 1 * 60 = 60 km
1 Km /min = 60 km/h
Business Success Restaurant owners are continually monitoring financial aspects and customer relations of their business. They use collected data to recognize trends, predict outcomes, and plan for the future. In this task, you will play the role of a restaurant owner. You will collect data and analyze different aspects of your business. As you complete the task, keep these questions in mind: Can you predict sales based on factors such as the weather and the number of customers? Can you estimate the amount you will earn in tips on a given day based on the number of customers? Directions: Complete each of the following tasks, reading the directions carefully as you go. You may use a piece of graph paper for this task. Round all decimals to the nearest hundredths place or to the nearest cent for this task. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all of your work and to answer each question as you complete the task. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Constructing and analyzing scatterplots You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below. Hot Chocolate Sales and Outside Temperatures Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199 Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91° a) Make a scatterplot of the data above. (2 points) b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points) c)How would you describe the correlation in the data? Explain your reasoning. (2 points) d) What are the independent and dependent variables? (2 points)
Answers
Answer:
They use collected data to recognize trends, predict outcomes, and plan for the future.
Step-by-step explanation:
True or False: Joell said that the equation of the line below was y= - 1/2 x + 1 point Is his statement true or false? explain how you knew the answer was true or false
Answers
the dot plot shows the number of students who attended the first five meetings of a school's math club.
find the mean of the data.
Answers
The mean of the data is given as follows:
9.
How to obtain the mean of the data?The mean of a data-set is obtained as the sum of all observations divided by the number of observations.
The dot plot shows the number of times that each observation appeared in the data-set.
Considering the dot plot, the data-set is given as follows:
5, 7, 7, 13, 13.
Hence the mean of the data-set is obtained as follows:
(5 + 7 + 7 + 13 + 13)/5 = 9.
Missing InformationThe dot plot is given by the image presented at the end of the answer.
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The courtyard behind Jennie's house is shaped like a trapezoid the bases measure 8 meters and 17 meters the height of the trapezoid is 12 meters what is the area
Answers
Answer:
150m^2
Step-by-step explanation:
Given data
a=8m
b=17m
h=12m
We know that the expression for the area of a trapezoid is given as
Area= (a+b/2)*h
substitute
Area= (8+17/2)*12
Area= 25/2 *12
Area= 12.5*12
Area= 150 m^2
Hence the area is 150m^2
Daphne played 240 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she played another string of consecutive games, although this string was 40% shorter. How many consecutive games was that?
Answers
Answer:
144.
Step-by-step explanation:
40% shorter means she played 100 - 40 = 60% of the previous tall.
60% of 240
= 240 * 0.6
= 144 games.
9. You have saved S2500 to spend on vacation. You spend the money at an average rate of $125 per day.
Write a linear function to model this situation
Answers
Hope this helps let me know if you need me to explain
Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = x2ex, 0 ≤ x ≤ 5 A
A = lim n → [infinity]
n i = 1
Answers
To find an expression for the area under the graph of f(x) = x^2 * e^x using the right endpoints as a limit, we can use the definition of the Riemann sum.
The Riemann sum with the right endpoints is given by:
A = lim(n → ∞) ∑[i=1 to n] f(xi) * Δx
where A represents the area under the curve, n is the number of subintervals, xi represents the right endpoint of each subinterval, and Δx is the width of each subinterval.
In this case, the function is f(x) = x^2 * e^x, and the interval of integration is 0 ≤ x ≤ 5.
Using the right endpoints, we can divide the interval [0, 5] into n equal subintervals of width Δx = 5/n. The right endpoints of these subintervals will be xi = i * Δx, where i ranges from 1 to n.
Thus, the expression for the area under the graph of f(x) as a limit is:
A = lim(n → ∞) ∑[i=1 to n] (xi)^2 * e^xi * Δx
This expression represents the Riemann sum as a limit and can be used to approximate the area under the curve f(x) = x^2 * e^x.
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Please explain how to solve y=2x+4 and y=x-3 (EXPLAIN please, not doing the work)
Answers
2x+4=x-3
-x -x
1x+4= -3
-4 -4
x= -7
You just plug in the value of x which is -7
Y= -7-3
Y= -10
Given that f(x) = 9 − x and g(x) = x^2
Calculate
a) f(3)
b) g(−4)
Answers
Answer:
a) f(3) =6
b) g(-4) =16
Step-by-step explanation:
answer to a, substitute X with 3. which will be f(3)=9-3
=6
answer to b, substitute X with -4, which will be g(-4)=(-4)^2
=16
1000 people were asked their preferred method of exercise. The following table shows the results grouped by age.
18-22 23-27 28-32 33-37 total
Run 54 40 42 66 202
Bike 77 68 90 70 305
Swim 28 43 50 52 173
Other 90 78 71 81 320
Total 249 229 253 269 1000
You meet 25 yo who too the survey. What is the proba the she prefers biking?
please express your answer in the form of a fraction
Answers
The probability that a 25-year-old person from this group prefers biking is: 68/229.
How to determine the probability that a 25-year-old person from this group prefers bikingThe total number of people in the survey between the ages of 23 and 27 is 229. The number of people who prefer biking in this group is 68.
Therefore, the probability that a 25-year-old person from this group prefers biking is: 68/229
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor (GCF), which is 1:
68/229 = 68/229
So the probability that a 25-year-old person from this group prefers biking is 68/229.
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Find the partial sum sn of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
Answers
The value of the partial sum of geometric sequence with terms a3 = 36 and a6 = 288 is given by 297. This is obtained by using the concept of partial sum of a geometric progression.
What is geometric progression?
Geometric progression is defined as a series of numbers having a fixed ratio between each term and its preceding term. It is also known as a geometric sequence or G.P., and is exemplified as a1, a2, a3, ….., an
Here, the first term is denoted by a1 and its common ratio is shown by r, which is calculated using the formula a2 by a1. The partial sum of a G.P. is given by a1 ( rn - 1 ) / ( r - 1 ), when r > 1 and a1 ( 1 - rn ) / ( 1 - r ), when r < 1
Calculation of the partial sum of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
Given:
Value of a3 = 36
Value of a6 = 288
n = 5
a3 = ar2 — 1
a6 = ar5
Now, a6 / a3 = ar5 / ar2 = 288 / 36
r3 = 8
Taking cube root both sides, we get,
r = 2
Putting the value of r in equation 1,
a3 = a(2)2
36 = 4a
a = 9
As r > 1, using the formula for Sn as a(rn - 1) / (r - 1)
Sn = 9(2n - 1) / (2 - 1)
Sn = 9(2n - 1)
Using n = 5, we have,
Sn = 9[(2)5 - 1]
Sn = 9(32 - 1)
Sn = 9 × 33
Sn = 297
Hence, the value of the partial sum of a G.P. is 297
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determine if the statement is possible(p) or impossible(i).
A triangle with the angles: 53°, 118° and 9º.
Answers
Answer: Yes, it's possible
Step-by-step explanation:
53+118+9=180
Express the following IPv6 numbers using double-colon notation: a. 5355:4821:0000:0000:0000:1234:5678:FEDC b. 0000:0000:0000:1234:5678:FEDC:BA98:7654 c. 1234:5678:ABCD:EF12:0000:0000:1122:3344
Answers
Using double-colon notation, IPv6 numbers:
a. 5355:4821:0000:0000:0000:1234:5678:FEDC - 5355:4821::1234:5678:FEDC.
b. 0000:0000:0000:1234:5678:FEDC:BA98:7654 - ::1234:5678:FEDC:BA98:7654.
c. 1234:5678:ABCD:EF12:0000:0000:1122:3344 - 1234:5678:ABCD:EF12::1122:3344.
Double-colon notation is a shorthand method used to represent consecutive blocks of zeros in an IPv6 address. It is denoted by two colons (::) in the address. The double-colon can only be used once in an IPv6 address.
a. The IPv6 address 5355:4821:0000:0000:0000:1234:5678:FEDC can be represented using double-colon notation as 5355:4821::1234:5678:FEDC. The double-colon replaces the consecutive blocks of zeros in the middle of the address.
b. The IPv6 address 0000:0000:0000:1234:5678:FEDC:BA98:7654 can be represented using double-colon notation as ::1234:5678:FEDC:BA98:7654. The double-colon replaces the leading blocks of zeros in the address.
c. The IPv6 address 1234:5678:ABCD:EF12:0000:0000:1122:3344 can be represented using double-colon notation as 1234:5678:ABCD:EF12::1122:3344. The double-colon replaces the consecutive blocks of zeros in the middle of the address.
In summary, double-colon notation is a convenient way to represent consecutive blocks of zeros in an IPv6 address. It helps to simplify and shorten the representation of long IPv6 addresses.
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Help me on this question pls
Answers
Answer:
d. x = 14; angle measurement is 28 degrees
Step-by-step explanation:
2x is equivalent 28 so divide 28 by 2 to get 14
Is the relation a functi
on? ____ 1. {(14, 9), (15, 8), (8, 7), (1, 9), (15, 2)} a. yes b. no
Answers
Answer:
No
Step-by-step explanation:
This relation is a function because the x values have a repeating number (15).
0.69 x 10 to the 3rd power
Answers
Answer:
690
Step-by-step explanation:
0.69 x 10^3=
0.69 x 1000=
690
Answer:
Step-by-step explanation:
0.69*1000= 690
Select the correct answer.
Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /
Answers
Answer:
1 1/7.
Step-by-step explanation:
-9 2/7 - (-10 3/7)
= -9 2/7 + 10 3/7
= - 9 + 10 - 2/7 + 3/7
= 1 + 1/7
= 1 1/7.
Answer:
\( \huge \boxed{ \bold{ \purple{1 \frac{1}{7} }}}\)Option B is the correct option
Step-by-step explanation:
\( \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }\)
First thing we have to do is that convert the mixed number into improper fraction .
\( \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}\)
Follow the steps:
Multiply denominator by the whole number.Add the answer from step 1 to the numerator.Put step 2 answer over the denominatorNow, let's do it!
\( \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}\)
⇒\( \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}\)
When there is a ( - ) in front of an expression in the
parentheses , change the sign of each term in the expression
⇒\( \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }\)
Convert mixed number into improper fraction
⇒\( \mathsf{ - \frac{65}{7} + \frac{73}{7} }\)
While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same
⇒\( \mathsf{ \frac{ - 65 + 73}{7} }\)
Calculate
⇒\( \mathsf{ \frac{8}{7} }\)
Convert the improper fraction into mixed fraction.
( Since 8 is being divided by 7 , I am gonna use long division )
( See attached picture )
⇒\( \mathsf{1 \frac{1}{7} }\)
Hope I helped!
Best regards!!
HELP PLEASE ASP (15 POINTS)
Answers
The areas for the figure are given as follows:
Rectangle: 144 in².Triangle: 120 in².Total: 264 in².How to obtain the area of the figure?The figure is a composite figure, hence the total area of the figure is given by the sum of the areas of each part that compose the figure.
The area of the rectangle is given by the multiplication of it's dimensions, hence:
Ar = 9 x 16 = 144 in².
The area of the triangle is given by half the multiplication of the base of 16 in by the height of 15 in, hence:
At = 0.5 x 16 x 5 = 120 in².
The total area of the figure is given by the sum of the areas of each part of the figure, hence:
144 + 120 = 264 in².
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Darnell took a total of 14 pages of notes during 7 hours of class. After attending 8 hours of
class, how many total pages of notes will Darnell have in his notebook? Assume the
relationship is directly proportional.
pages
Answers
Answer:
16 pages
Step-by-step explanation:
1 hour= 2 pages written of notes
so 8 hours of notes = 8x2=16 pages
two cyclists leave towns 210 kilometers apart at the same time and travel toward each other. one cyclist travels 10 km slower than the other. if they meet in 5 hours, what is the rate of each cyclist?
Answers
The faster cyclist's speed is 46 km/hr and the slower cyclist's speed is 36 km/hr.
Let the speed of the faster cyclist be x km/hr. Then the speed of the slower cyclist is x-10 km/hr.
As they are travelling towards each other, their relative speed will be the sum of their speeds. So,
Relative speed = x + (x-10) = 2x - 10 km/hr
Time taken to meet = 5 hours
Distance travelled = relative speed x time taken
210 = (2x-10) x 5
Solving for x, we get x = 46 km/hr (approx.)
Therefore, the faster cyclist's speed is 46 km/hr and the slower cyclist's speed is 36 km/hr.
To solve this problem, we need to use the formula Distance = Speed x Time. Since the two cyclists are travelling towards each other, we need to find their relative speed by adding their speeds. Then we can use the distance and time given to calculate their speeds individually using the formula Speed = Distance / Time.
The faster cyclist is travelling at a speed of 46 km/hr, while the slower cyclist is travelling at a speed of 36 km/hr.
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Please help. We have this for homework.
Answers
Answer:
Hey Jeffrey i got to ur school...
lol
Step-by-step explanation:
C