Each of 16 students measured the circumference of a tennis ball by four different methods, which were: A: Estimate the circumference by eye B: Measure the diameter with a ruler, then compute the circumference C: Measure the circumference with ruler and string D: Measure the circumference by rolling the ball along a ruler
Answers
Answer:
Following are the solution to the given equation:
Step-by-step explanation:
Please find the complete question in the attachment file.
In point a:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=22.8[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187[/tex]
In point b:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.6875[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251[/tex]
In point c:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=21[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179[/tex]
In point d:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.8375[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438[/tex]
Related Questions
The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?
Answers
Given:
The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]
Length of the rectangle RSTU = [tex]4x+5[/tex]
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
[tex]36x^2+25x-25[/tex]
Splitting the middle term, we get
[tex]=36x^2+45x-20x-25[/tex]
[tex]=9x(4x+5)-5(4x+5)[/tex]
[tex]=(4x+5)(9x-5)[/tex]
We know that, the area of a rectangle is
[tex]Area=Length \times width[/tex]
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answers
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
HI, i have to turn this in by the end of the day! please help.
Answers
Answer:
Both are 77
Step-by-step explanation:
103 + 103 = 206
360 - 206 = 154
154/2 = 77
#2=77
#4=77
#3 is the same as #1, then subtract them from 360, divide that and you get 77 for the last two.
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.Which expression represents the area of the court?
Answers
Answer:
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Step-by-step explanation:
Area of a rectangle:
A rectangle has length l and width w. The area of a rectangle is:
[tex]A = lw[/tex]
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.
This means that [tex]l = 8x - 2, w = 3x - 3[/tex]
Which expression represents the area of the court?
The tennis court is rectangular, so
[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Simplify (3^5)^2/3^-2
Answers
Answer:
the answer would be 531441
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
Kimberly worked for 2 weeks. The shaded parts of the model represent the fraction of each week she worked from home.
Which expression can be used to determine the number of weeks Kimberly worked from home over these 2 weeks?
Answers
Answer
she worked 1 week and 1 day
Step-by-step explanation
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
Answer:
Step-by-step explanation:
last question:) thanks guys
Answers
Answer:
5/12
Step-by-step explanation:
Probability of getting either heads or tails of a coin : 1/2
Probability of getting 1,2,3,4, or 6 on a dice: 5/6
Multiply those two probabilities : 1/2 * 5/6 = 5/12
You have a 5 out of 12 chances of getting heads on a coin AND any number but a 5 on a dice.
Hope this helps!
Determine the measure of ∠Z.
Question 5 options:
A)
41.76°
B)
13.29°
C)
87.71°
D)
48.24°
Answers
Answer:
A
Step-by-step explanation:
The measure of the angle Z is equivalent to 41.7°.
What is tangent function?The tangent function is one of the main six trigonometric functions and is generally written as tan (x). It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.Given is a right angle triangle XYZ.
Using the tangent function, we can write -
tan(Z) = XY/XZ
tan(Z) = 25/28
tan(Z) = 0.89
Z = tan⁻¹(0.89)
Z = 41.7°
Therefore, the measure of the angle Z is equivalent to 41.7°.
To solve more questions on angle measurements, visit the link below -
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By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answers
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?
Ashley:p=2d
Carly:p=d+5
Answers
Please help, I will give brainliest, I am struggling badly.
Answers
Answer:
3rd option is the amswer
What is the simplified form of (-3xy)(5xy-1)?
Answers
Answer:
-15x²y²+3xy
Step-by-step explanation:
((−3x)(y))(5xy−1)
=((−3x)(y))(5xy+−1)
=((−3x)(y))(5xy)+((−3x)(y))(−1)
=−15x²y²+3xy
Brandon is 5 years older than his brother Hermie. There combined age is 23. How old is Brandon?
Find Brandon's age using the following equation:
2 + (x + 5) = 23
A
9
14
15
Answers
Answer:
9
Step-by-step explanation:
9 +5 = 14
14 +9 = 23
Find a linear equation whose graph is the straight line with the given property.
Through (0.5, -2.25) and (1, -5.25)
Answers
Answer:
Step-by-step explanation:
-5.25+2.25 - 3
1-0.5 = 0.5
=-6 =m
y=-6x
What is the perimeter
Answers
Answer:
-2x + 3
Step-by-step explanation:
Perimeter means to add all the sides of the triangle. Simply combine like terms:
(3x) + (2x - 5) + (-7x + 8)
(3x + 2x - 7x) + (-5 + 8)
(5x - 7x) + (8 - 5)
-2x + 3
-2x + 3 is your answer.
~
PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?
A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second
Answers
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
Answers
Answer:
3.5 inches
Step-by-step explanation:
create a proportion:
inches / miles = inches / miles
let 'x' = distance in inches
1/4 = x
18 252
18x = 252(1/4)
18x = 63
x = 63 / 18
x = 3.5
I need help, it’s geometry:
Answers
Answer: The area is 5x + 20
Step-by-step explanation:
Add all the numbers up.
7 + 4x - 8 = 3
13 + (x + 8) = (x + 21)
Therefore, your answer is 5x + 20
Let me know if you have any questions!
Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
Answers
3 is the value of k in the Linear equation .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, 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. Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
equation 42 ÷ k = 14
42/k = 14
42 = 14 * k
k = 42/14
k = 3
Learn more about Linear equation
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Select all that are equivalent to sin H.
1. cos H
2. cos Y
3. sin Y
4. sin W
5. tan W
6. cos(90-H)
7. sin(90-H)
Answers
Answer:
i believe 1-3-5
Step-by-step explanation:
Answer: the 2nd and 6th
Step-by-step explanation:
i did the test thing
Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?
Answers
Answer:
20 percent left
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
10. Put the numbers into least to greatest order: -33/5, 3 1/3, 3.3, -3.5
Answers
Answer:
Answer:
Order from Least to Greatest
-33/5 < -3.5 < 3.3 < 3 1/3
Step-by-step explanation:
I need help please.
Answers
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?
Answers
Answer:
12
Step-by-step explanation:
you take 108-12=96
then you take 96/8=12
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Answers
Answer:
$16
Step-by-step explanation:
[tex]0.75x = 12\\3x = 48\\x = 16[/tex]
Elena says I find 25.44 and then move the decimal point
Answers
Answer: help a homegirl out
Step-by-step explanation: let me get these points please
Need help don’t know what to do I’m confused
Answers
What is the inverse of the function f(x) = 2x+1
Answers
Answer:
The answer is b. h(x) = one-halfx – one-half
Step-by-step explanation:
Answer:
hey everyone its b!!!
Step-by-step explanation:
Three out of nineteen students will ride in a car instead of a van. How many ways can those three students be
chosen? Use the following formula.
n!
r
C(n, r) = r!(n-1)!
Answers
Solve by elimination and show all steps please
3x=2y-7, 2x-y=10
Answers
Answer:
if you download the app photomath it will help you
Step-by-step explanation:
I promise!
Step-by-step explanation:
x=27 and y= 44
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