A rectangular sheet of paper is 12 1 by 2 long and 10 2 by 3 wide firgure find 5he perimeter
Answers
The rectangular piece of paper has a perimeter of 48.34 units.
The perimeter of a rectangle is given by the sum of the lengths of all its sides.
To find the perimeter of this rectangular sheet of paper, we need to add up the lengths of its four sides.
The length of the rectangle is 12 + 1 by 2 = 13.5 units, and its width is 10 + 2 by 3 = 11.67 units.
Therefore, the perimeter of the rectangle is:
P = 2(length + width)
P = 2(13.5 + 10.67)
P = 2(24.17)
P = 48.34 units
So the perimeter of the rectangular sheet of paper is 48.34 units.
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ1
Related Questions
If log10 x=2, what is the value of X
Answers
Answer:
x=100
Step-by-step explanation:
log10 x=2
10^2=x
100=x
Answer:
C
Step-by-step explanation:
\(\log_{10}x=2\\10^2=x\\x=100\)
Three-fourths was subtracted from a number, and then 5 1/4
was added to the result. The sum was -7.
4
What was the original number?
Answers
Answer:
-11.5 would have been the original number since -11.5 - 3/4 = -12 1/4 + 5 1/4 = -7
Step-by-step explanation:
Answer:
-11 1/2Step-by-step explanation:
Let the number is x.
The equation is:
x - 3/4 + 5 1/4 = - 7x + 4 4/2 = -7x = - 7 - 4 1/2x = -11 1/2The sum of two numbers is 91.one is 37 more than the other.Find the numbers
Answers
Step-by-step explanation:
Hey there!!
Here, According to the question;
Let one number be x then another number will be x+37. (as one number is 37 more than other number. )
Now,
Their sum is 91.
It would be like;
\(x + (x + 37) = 37\)
\(2x + 37 = 91\)
\(2x = 91 - 37\)
\(x = \frac{54}{2} \)
Therefore the value of x is 27.
So, one number is 27 and another number is 64.
Hope it helps....
how many days will it take to finish a 20 pound bag of rice when you use 0.4 pounds each day
Answers
Answer:
50
Step-by-step explanation:
divide 20 by 0.4
= 20/0.4 = 20 * (1/0.4)
= 20*2.5
= 50
Step by step explanation:
20/0.4 = 50
solve: answer is x is greater than or equal to 3.
Answers
Answer:
x ≥ 5
Step-by-step explanation:
\(\sf 4x+3\ge \:23\)
subtract 3 from both sides
\(\sf 4x+3-3\ge \:23-3\)
simplify
\(\sf 4x\ge \:20\)
divide both sides by 5
\(\sf \dfrac{4x}{4}\ge \dfrac{20}{4}\)
simplify
\(\sf x\ge \:5\)
Answer:
x ≥ 5
Step-by-step explanation:
To simplify the given inequality, we need to isolate the variable "x".
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Step-1: Subtract 3 both sides
4x + 3 ≥ 23
⇒ 4x + 3 - 3 ≥ 23 - 3
⇒ 4x ≥ 23 - 3
⇒ 4x ≥ 20
Step-2: Divide 4 both sides
⇒ 4x ≥ 20
⇒ 4x/4 ≥ 20/4
⇒ x ≥ 5
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)
*answer is x is greater than or equal to 3.*
Substituting 3 in the inequality:
4x + 3 ≥ 23
4(3) + 3 ≥ 23
12 + 3 ≥ 23
15 ≥ 23 (False)
A sign in front of a roller coaster says "You must be 40 inches tall to ride." What percentage of this height is:
1. 34 inches?
:
2. 54 inches?
:
Answers
2.54 inches is 6.35%.
Take the numbers and divide by 40!
9 miles for every 1/2 hour and 6 miles for every 20 minutes tell whether the missing values are equivalent and justify
Answers
9 miles for every ½ hour and 6 miles for every 20 minutes can be considered equivalent because they represent the same speed, just measured in different units.
To see this, we can convert the units to a common unit, such as miles per hour.
First, let's convert the 6 miles in 20 minutes to miles per hour:
\( \frac{6}{20} \times 60\)= 18 miles/hour
Next, let's compare this speed to the 9 miles per ½ hour:
\( \frac{9}{ \frac{1}{2} } = \frac{9}{ \frac{1}{2} } \times \frac{1}{ \frac{1}{2} } = 18\)
Since both speeds are equal to 18 miles per hour, we can conclude that they are equivalent. This means that the missing values are also equivalent.
To know more about the measurements and conversions visit :
https://brainly.com/question/28005036
#SPJ1
Section 1: Problem Statement - Finance 302
John Smith is 30 years old and graduated from CSUSM some years back, with a Business degree and an emphasis in Marketing. John is currently employed as a Marketing Manager at a well-known corporation. He has progressed well in his career, with the ultimate goal of becoming the company’s CEO. John’s current salary of $78,000 has increased at an average rate of 5% per year, with routine merit raises, and he expects it keep increasing.
John’s firm, ABC Corporation, has a defined contribution plan (401k) plan in place. Employees are allowed to contribute up to 15% of their gross annual salary pre-tax. Unfortunately, John has not yet taken his professor’s advice to “Save, Start Young, and Pay Yourself First.” Instead, John has enjoyed his post-college, nice-salary life by leasing a new car, renting an apartment and going out to Players every weekend. Now that he has wedding plans on the horizon, John has come to the realization (with help from his fiancée, Jane Doe) that it’s time to start saving while he’s still relatively young!
John expects that the lovebirds’ two largest future expenses will be the cost of a wedding (short-term), then later the down payment on a house (intermediate-term). The couple plans to spend $10,000 of their own money on the wedding in twelve months. They also hope to purchase a $400,000 house within 5 years. Jane’s parents have promised to match their 10% down payment on the house, but only if they manage to save it within 5 years. Finally, John would like to retire at age 60, since his own father died at age 59 and did not get to enjoy the fruits of his labor in retirement. Both future spouses agree that John will automate his savings by setting up monthly contributions to his wedding fund, house fund and 401k accounts.
Section 2: Questions
Your assignment should begin with a “Data” section, documenting all of the numerical assumptions provided in this assignment.
Your calculations will require the use of a financial calculator. Please provide your detailed calculations, step-by-step, including calculator functions, in order to receive maximum credit – or partial credit if the final answer is incorrect.
1) John Smith is finally ready to take advantage of his employer’s 401k plan towards his retirement goal of age 60. Assume that John contributes 10% of his current salary every year, with an 8% annual return compounded annually. How much would he have saved at age 60?
2) a) How much money would John have to save every year to achieve an age 60 balance of one million dollars?
b) What percentage of his current salary is that annual savings amount?
3) John’s fiancée, Jane Doe, is adamant about getting married in the next year. She is insisting that John makes saving towards the $10,000 needed their top priority. John recalls that his professor said, “don’t invest in long-term investments with short-term money.” Therefore, he plans to keep the wedding account in the bank and buy short-term (under 1-year maturity) CD’s. Assuming John stays continuously invested in CD’s yielding 2% annual yield for the duration of each monthly deposit from the beginning month (Month 0), how much will he have to contribute to the wedding fund every month for the next 12 months?
4) Jane does acknowledge that saving for a home down payment is not as big of a priority. But both future spouses agree that they should start putting money away towards the goal of $40,000 within five years. John recalls that an intermediate-term savings plan should not take as much risk, so he will plan to earn 4% annually with a conservative strategy for their house fund. How much money will he have to save every month for the next 60 months to accumulate $40,000?
5) Planning on an early retirement at age 60, John will start withdrawing from his 401k every month. He plans to start with $1,000,000 in his 401k, with a life expectancy of 85 years. Assuming a rate of return on his account of 6% annually, how much can he withdraw every month for his retirement expenses? (HINT: use I/Y = 6%/12 = 0.5% monthly)
Answers
Data: John's current pay is $78,000. Annual salary increase rate: 5% Maximum 401k contribution: 15% of pre-tax gross yearly salary Every year, John intends to pay 10% of his current earnings to his 401k.
Annual compounded return on 401k investments is expected to be 8%.
$10,000 wedding money target in 12 months
Short-term CD interest rate: 2%
Goal for house down payment: $40,000 in 5 years
Annual expected return on housing fund investments: 4%
At the age of 60, your 401k balance is $1,000,000.
85 years is the average life expectancy.
0.5% (6%/12) monthly rate of return on retirement investments
To figure out John's 401k balance at age 60, do the following:
Compute John's annual contribution to his 401k: $78,000 x 10% = $7,800
Employ the financial calculator's future value (FV) function:
N (number) = 30 (number of years until retirement)
I/Y = 8% (annual rate of return)
PMT = -$7,800 (negative because it’s a cash outflow)
PV = 0 (no initial balance)
FV = $?
FV = $1,057,323.95
Therefore, John would have saved approximately $1,057,323.95 at age 60.
a) To achieve an age 60 balance of one million dollars:
Use the present value (PV) function on the financial calculator:
N = 30 (number of years until retirement)
I/Y = 8% (annual rate of return)
PMT = -$? (negative because it’s a cash outflow)
PV = 0 (no initial balance)
FV = $1,000,000
PMT = -$9,308.79
Therefore, John would have to save approximately $9,308.79 every year to achieve an age 60 balance of one million dollars.
b) To find the percentage of his current salary that the annual savings amount represents: Divide the annual savings amount by John’s current salary: $9,308.79 / $78,000 = 0.1194
Multiply by 100 to get the percentage: 0.1194 x 100 = 11.94%
Therefore, the annual savings amount represents approximately 11.94% of John’s current salary.
To calculate how much John will have to contribute to the wedding fund every month for the next 12 months:
Use the present value (PV) function on the financial calculator:
N = 12 (number of monthly deposits)
I/Y = 2%/12 = 0.1667% (monthly rate of return)
PMT = -$? (negative because it’s a cash outflow)
PV = 0 (no initial balance)
FV = $10,000
PMT = -$821.47 As a result, John will have to contribute $821.47 to the wedding fund each month for the following 12 months.
To determine how much John must save each month for the next 60 months in order to acquire $40,000:
Employ the financial calculator's future value (FV) function:
N = 60 (number of months) (number of months)
I/Y = 4%/12 = 0.3333% (monthly interest rate)
PMT = -$? (negative since it represents a monetary outflow)
PV = 0 (no starting balance) (no initial balance)
FV = $40,000
PMT = -$603.94
learn more about salary here:
https://brainly.com/question/14371457
#SPJ11
I am struggling!! Help!!
Answers
Answer:
facts
Step-by-step explanation:
Answer:
\(y= 9/4x+5\)
Step-by-step explanation:
I'll go over #7 and you should be able to do the rest.
Slope intercept form general equation is:
y = mx + b
I bolded the value you need to change/find.
m is the slope
b is the y-intercept
You can calculate m using:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4
\(m=\frac{5-(-4)}{0-(-4)}=9/4\)
Plug your value into the point-slope formula.
\(y = m(x-x_1)+y_1\)
\(y = (9/4)(x-(-4))+(-4)\) simplify it
\(y= 9/4x+5\) the simplified form is the slope-intercept formula
Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle
Answers
the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
Given: The hypotenuse of the right triangle,
c = 159 ft; angle A = 34°
We know that, in a right-angled triangle:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$\)
We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)
\({\text{adjacent}}$$\) Length of side a is:
\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)
Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:
\($$\text{Area} = \frac{1}{2}ab$$\)
Putting the values of a and b:
\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)
Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
For more question triangle
https://brainly.com/question/29135702
#SPJ8
Find the nth term of 17, 13, 9, 5
Answers
ANSWER
\(a_n=17-4(n-1)\)EXPLANATION
We want to find the formula for the nth term of the sequence given:
\(17,13,9,5\)From the sequence, we notice that each successive term is arithmetically less than the preceding term. This implies that the sequence is an arithmetic sequence.
The general formula for an arithmetic sequence is:
\(a_n=a_1+(n-1)d\)where an = nth term
a1 = first term
d = common difference
The first term for the given sequence is 17.
To find the common difference, find the difference between two successive terms. Let us make use of 13 and 17:
\(\begin{gathered} 13-17 \\ \Rightarrow-4 \end{gathered}\)That is the common difference.
Hence, the formula for the nth term of the sequence is:
\(\begin{gathered} a_n=17+(n-1)(-4) \\ a_n=17-4(n-1) \end{gathered}\)
12. ABC-A'B'C' is a reflection. Use this to answer the questions below.
(A) Which figure is the preimage?
(B) Which figure is the images
(C) What are the coordinates of the output?
Input. Output
A(0,9). A
B(-4,4) B
C(0,4). C
Answers
(A) The figure before the reflection is called the preimage. In this case, the preimage is ABC. (B) The figure after the reflection is called the image. In this case, the image is A'B'C'. (C) The outputs for the given inputs are:
Input: A(0,9) Output: A(0,9)
Input: B(-4,4) Output: B'(-8,0)
Input: C(0,4) Output: C(0,4)
(C) The coordinates of the output for each input point can be found by reflecting the input point across the line of reflection. In this case, the line of reflection is the perpendicular bisector of the line segment connecting A and C. For point A, the reflection is itself, so the output is (0,9).
For point B, we can find its reflection as follows: draw the line perpendicular to the line of reflection that passes through B, and find the point where it intersects the line of reflection. This point is the midpoint of the line segment connecting B and its image. The reflection of B is (-8,0), and the output is B'. For point C, the reflection is itself, so the output is (0,4).
Reflection is a type of transformation in geometry where an object is flipped across a line. In this case, ABC was reflected across the line of reflection to form A'B'C'. The line of reflection is the perpendicular bisector of the line segment connecting A and C.
The reflection of a point is the point on the other side of the line of reflection that is equidistant from the line. By applying the reflection rule, we can find the coordinates of the output for each input point.
Learn more about coordinates here:
https://brainly.com/question/16634867
#SPJ1
If 23 is subtracted from 8 times the number, the result is the square of 2 less than the number.
Answers
23-8=15
8*15=120
sqrt2=4
the number 120-4=116
that’s what i got not sure if that is correct
Who knows the answers for these 3 questions?
Answers
If you received a score of 80% on a test of 20 problems, you got 16 problems correct.
How to find number of correct answers?To find out, you can multiply the number of problems on the test (20) by the percentage you got correct (80% or 0.80):
20 x 0.80 = 16
So you had 16 problems correct.
To calculate the interest owed by Alfredo Gonzales, you can use the formula:
Interest = Principal x Rate x Time
Where:
Principal = $450
Rate = 6% per year (or 0.06 as a decimal)
Time = 8 months (or 8/12 years)
So the interest owed would be:
Interest = $450 x 0.06 x 8/12
Interest = $16.50
Therefore, Alfredo Gonzales would owe $16.50 in interest.
To find out how much Sol saved on the four shirts, we can first calculate how much one shirt costs after the 25% discount:
25% of $25 = 0.25 x $25 = $6.25 (discount amount)
$25 - $6.25 = $18.75 (price after discount)
So Sol paid $18.75 for each shirt. To find out how much he saved on all four shirts, we can subtract the discounted price from the original price:
$25 - $18.75 = $6.25 (amount saved on one shirt)
$6.25 x 4 = $25 (total amount saved on all four shirts)
Therefore, Sol saved $25 on the four shirts.
Learn about principal amount here https://brainly.com/question/25720319
#SPJ1
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
Which sentence describes a way to determine the missing number number in the pattern?
Answers
Answer:
70910 not sure
Step-by-step explanation:
70.91 x 10 = 709.1 70.91 x 100 = 7,091 70.91 x 1,000 =
Find the circumference of a circle with
radius, r = 7m.
Give your answer in terms of π.
Answers
Answer: 14π
Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.
5
Select the correct answer from each drop-down menu.
Simplify the following polynomial expression.
(3x²-x-7) (5x²
The polynomial simplifies to an expression that is a
Reset
-
4x2) + (x+3)(x + 2)
✓with a degree of
Next
Answers
The polynomial simplifies to -x² + 8x + 1 with a highest degree of 2.
What is the simplification of the polynomial expression?To simplify a mathematical expression is to represent it in the least complicated form possible.
In general the simplest form is one that has used the fundamental properties of numbers, exponents, algebraic rules, etc. to remove any duplication or redundancy from the expression.
The given expression;
= (3x²- x - 7) - (5x² - 4x - 2) + (x + 3)(x + 2)
The simplified form of the given expression is calculated as follows;
= 3x² - x - 7 - 5x² + 4x + 2 + x² + 2x + 3x + 6
= -x² + 8x + 1
Thus, the polynomial simplifies to -x² + 8x + 1 with a highest degree of 2.
Learn more about simplification here: brainly.com/question/28008382
#SPJ1
What percent of the front page is taken up by the
prom story, including the prom photograph?
A. 20%
B. 22%
C. 25%
D. 45%
E. 60%
Answers
The percent of the front page taken up by the prom story is 20%
Calculating the percent of the front page taken up by the prom storyFrom the question, we have the following parameters that can be used in our computation:
The front page
From the front page, we have
Area front page = 5 * 4
Area front page = 20
Also, we have
Prom = 2 * 2
Prom = 4
So, we have
Percentage = 4/20 * 100%
Evaluate
Percentage = 20%
Hence, the percent of the front page taken up by the prom story is 20%
Read more about percentage at
https://brainly.com/question/843074
#SPJ1
5) Which has more people? A car that is
full or a car that is full?
Answers
Answer:
a car that is full
Step-by-step explanation:
Answer:
mm definitely a car that is full
Step-by-step explanation:
Seven and twelve hundredths in standard form?
Answers
Answer:
7.12
Step-by-step explanation:
Standard form is writing a number with numbers instead of letters. Word form example: three. Standard form example: 3. Because the word "hundredths" has the "ths" at the end of it, on the right side of the decimal.
Which statement is true about figures ABC D & ABCD
Answers
Answer:
it's option b that is the right answer
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
Answers
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
For more such questions on Industry Average Salary
https://brainly.com/question/28947236
#SPJ8
Write the equation to find 12% of 84.
Answers
Answer:
0.12 x 84
Step-by-step explanation:
first turn 12 percent into a decimal = 12 divided by 100 = 0.12
Then 0.12 by 84= 10.08
The equation to find 12% of 84 would be 0.12 x 84 = 10.08
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.
We need to find the equation to find 12% of 84.
Now first turn 12 percent into a decimal
= 12 divided by 100
= 0.12
Then It can be written by
0.12 by 84
0.12 x 84 = 10.08
Therefore, the number would be 5.6
Learn more about percentage here:
brainly.com/question/11549320
#SPJ2
Please Answer ASAP
Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 mph. What was Jack's average speed on the way there and back?
Answers
Answer:
7.5 mph
Step-by-step explanation:
Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs somewhere between 120 and 155 pounds?
Answers
Answer:
Step-by-step explanation:
Find a-score of both
z-score = (x-mean)/SD
for 120
z =( 120- 180)/34 = -1.765
For 155
z = (155-180)/34 = -0.735
The probability to look for using z-score table is;
P(-1.765<z<-0.735) = 0.19239
Zinnia and Ruby earn $58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of $13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas?
Answers
The following equations are set up for each person
Zinnia: 58x+13
Ruby: 58y
If you need the total of both the equation is:
58x+13+58y
Hopefully this helped :) Have a great day
Answer:
I believe your answer is D, 58x+13+58y.
Step-by-step explanation:
Question
The following dataset represents the number of people a policer officer pulls over for speeding in a month for 56 police
officers, sorted and arranged in rows of 5. What is the 2nd quartile of the data?
2
7
1
9
15
5
11
10
11
7
14
18
23
15
15
18
18
22
22
28
34
22
33
38
26
34
41
27
35
42
39
48
52
38
45
58
68
54
59
61
70
79
52
65
84
89
98
66
87
87
87
88
97
91
93
96
97
98
Answers
Answer:
5 44 32 1 45
Step-by-step explanation:
The second quartile of the given data set as shown in the table is: 38.
What is the Second Quartile of a Data Set?The second quartile covers 50% of the data, that is, the median of the data set.
There are 56 police. This means that the average of the 28th and 29th data point is the median, which is the second quartile.
28th data point is: 38
29th data point is: 38
Second quartile = (28 + 28)/2 = 28.
Learn more about the second quartile on:
https://brainly.com/question/1622234
#SPJ6
What are the points of the image of the line in Q4 after the dilation?
Answers
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
Learn more about coordinates at:
https://brainly.com/question/17206319
#SPJ1
Which quadratic function in vertex form has a vertex at (3, 4) and passes through the point (7,-4)
Answers
Answer:
First option
Step-by-step explanation:
Given the following question:
We are being asked to find the quadratic function that has a vertex of (3, 4) and passes through the point (7, -4). Remember that the vertex of any parabola is the point on the top of the parabola, directly in the middle of the top of the function.
First option:
\(y=-\frac{1}{2} (x-3)^2+4\)
(see photo below)
As you can see the function has a vertex of (3, 4) which means the point on the top of the parabola is (3, 4) or the vertex. It also passes through the point (7, -4) meaning the first option is your answer.
Hope this helps.
