Answer:
[tex]s^2 = 0.9938[/tex] --- sample variance
[tex]s = 0.9969[/tex] --- sample standard deviation
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Heights} & {Frequency} & {116.1-120.0} & {38} & {120.1-124.0} & {24} &{124.1-128.0} & {28} & {128.1-132.0} & {43} & {132.1-136.0} & {29} \ \end{array}[/tex]
Required
Calculate the sample variance and sample standard deviation
First, we calculate the midpoint of each class:
[tex]\begin{array}{ccc}{Heights} & {Frequency} & {m} &{116.1-120.0} & {38} & {118.05}& {120.1-124.0} & {24}& {122.05} &{124.1-128.0} & {28} &{126.05}& {128.1-132.0} & {43} & {130.05} &{132.1-136.0} & {29} &{134.05}\ \end{array}[/tex]
The midpoints are calculated by taking the average of the class intervals.
For instance:
Class 116.1 to 120.0 has a midpoint of
[tex]m = \frac{1}{2}(116.1+120.0)[/tex]
[tex]m = \frac{1}{2}(236.1)[/tex]
[tex]m = 118.05[/tex]
The same approach is applied to other classes.
Next, is to calculate the mean:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
In this case, it is:
[tex]\bar x = \frac{\sum fm}{\sum f}[/tex]
Where
[tex]m = midpoint[/tex]
So, we have:
[tex]\bar x = \frac{118.05*38+122.05*24+126.05*28+130.05*43+134.05*29}{38+24+28+43+29}[/tex]
[tex]\bar x = \frac{20424.10}{162}[/tex]
[tex]\bar x = 126.07[/tex]
The sample variance (s^2) is:
[tex]s^2 = \frac{\sum(m - \bar x)^2}{\sum f -1}[/tex]
This gives:
[tex]s^2 = \frac{(118.05-126.07)^2+(122.05-126.07)^2+(126.05-126.07)^2+(130.05-126.07)^2+(134.05-126.07)^2}{38+24+28+43+29-1}[/tex]
[tex]s^2 = \frac{160.002}{161}[/tex]
[tex]s^2 = 0.9938[/tex]
The sample standard deviation (s) is:
[tex]s = \sqrt{s^2[/tex]
[tex]s = \sqrt{0.9938[/tex]
[tex]s = 0.9969[/tex]
Can you help me on question six?!
Answer: A (1:2)
Step-by-step explanation:
Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.
help please (will mark brainliest or however you spell it)
If x = 4, what is the value of 10x + 147
Answer:
187
Step-by-step explanation:
10*4=40
40+147=187
Answer:
251
Step-by-step explanation:
x=4
104 +147=251
Fernando had 2 children. Each of their children had 2 children, and each of these
He had 2 children. How many grandchildren did Fernando have?
Answer:
4 grand children
Step-by-step explanation:
Answer:
6 grandkids
Step-by-step explanation:
fernando has 2 kids and each had their own sets of kids so
1 fernando's kid 1 fernando's kid
2 grandchildren 2 grandchildren
=4 grandchildren in total
you said the grandchildren had kids as well so
2+4=6
3
Select all the correct answers.
Which two punctuation marks are used to offset a parenthetical element in a sentence?
comma
semicolon
dash
o hyphen
Reset
Next
Answer:
problem
confusion
Step-by-step explanation:
hope it helps
Answer
problem and confusion
Step-by-step explanation:
I took the test and this is the correct answer
tell me if it is wrong :)
PLEASE HELP WILL GIVE BRAINLIEST! AND 20 POINTS!
answer is in picture below. No fake answers and plz explain
Answer:
D= 110,400
Step-by-step explanation:
$48,000 is what she made last month and needs to make 230% more which you can think as a decimal of 2.30
so then you do 48,000*2.30= $110,400
Factorise x2 + x - 30
Answer:
If your polynomial is x^2+x-30, then your answer is (−5)(+6)
The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2).
Answer:
Step-by-step explanation:
y = -2x - 5.....slope here is -2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we will need is : 1/2. See how I flipped the slope of -2/1 and changed it to -1/2.....now I change the sign making our new slope be 1/2.
y = mx + b
slope(m) = 1/2
(-1,-2).....x = -1 and y = -2
now sub and find b, the y int
-2 = 1/2(-1) + b
-2 = -1/2 + b
-2 + 1/2 = b
-4/2 + 1/2 = b
-3/2 = b
so ur perpendicular line is : y = 1/2x - 3/2
Answer:
y = -2x - 5
m = -2
Step-by-step explanation:
The perpendicular line has a negative reciprocal slope.
m = 1/2
You are also given a point, so use the point slope formula.
y - y1 = m(x - x1)
y + 2 = 1/2(x + 1)
y + 2 = 1/2x + 1/2
y = 1/2x - 3/2
So the line perpendicular to y = -2x - 5 in slope intercept form is:
y = 1/2x - 3/2
or
y = 0.5x - 1.5
Find the value of x.
35
21
Х
X=
= [?]
Help
Step-by-step explanation:
Using Pythagoras theorem
x=✓(35²-21²)=✓784=28 units
F(t)=212-6t
what is the value of t when F (t) = 140?
Answer: -628
Step-by-step explanation:
F(140) = 212 - 6(140)
F(140) = 212 - 840
F(140) = -628
Help me with this please
Step-by-step explanation:
5x - 5° = 40° ( being vertically opposite angles)
5x = 40° + 5°
5x = 45°
x = 45°/ 5
x = 9°
Now
< 1 = 5 * 9° - 5 = 45° - 5° = 40°
Hope it will help :)
Which of these expressions represent solutions to the equation y3 = 64?
*Multiple answers can be selected*
Answer:
4, ∛64, -∛64
explanation:
they all mean the same thing
The expression [tex]y^{3} = 64[/tex] can be written as :[tex]y= \sqrt[3]{64}[/tex] or y= 4
The correct option is (II) and (VI)
What is cube root?
The cube root of a number is the factor that we multiply by itself three times to get that number.
We have given that:
[tex]y^{3} = 64[/tex]
we can write it as:
[tex]y= \sqrt[3]{64}[/tex]
y = [tex]\sqrt{4*4*4}[/tex]
y= 4
The answer is : [tex]y^{3} = 64[/tex]
[tex]y= \sqrt[3]{64}[/tex] or y= 4
Learn more cube root here:
https://brainly.com/question/12726345
#SPJ2
2 questions Please helpppppp( 20 points. ) PICTURE BELOW
Helpp ASAP
Answer:
5) The third side must be more than 4 and less than 14.
6) The third side must be more than 3 and less than 13.
Step-by-step explanation:
The third side must be more than the difference and less than the sum of the two numbers.
5) 9-5=4
9+5=14
So the third side must be more than 4 and less than 14.
6) 8-5=3
8+5=13
So the third side must be more than 3 and less than 13.
r+4 at r=13 help me
The value of the expression is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
r + 4
When r = 13
r + 4
= 13 + 4
= 17
Thus,
The value is 17.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Each edge of a Rubik's cube has a length of 5.7 centimeters. What is the volume of
the Rubik's cube?
185.193 Cm, 5.7x5.7x5.7 is the volume
The volume of the Rubik's cube is 183.51 cubic centimeters.
To find the volume of a Rubik's cube, we can use the formula V = s ³, where V represents the volume and s represents the length of each edge.
In this case, the length of each edge is given as 5.7 centimeters.
Substituting this value into the formula, we have:
V = (5.7 cm) ³
Calculating the volume:
V = 5.7 cm * 5.7 cm * 5.7 cm
V = 32.49 * 5.7
V = 183.51 cm ³
Therefore, the volume of the Rubik's cube is 183.51 cubic centimeters.
To know more about volume click here :
https://brainly.com/question/11168779
#SPJ2
there are 960 pages in a book. each page contains 25lines. how many lines are there in the book
Answer:
24000 Lines.
Step-by-step explanation:
960x25=24000
Answer:
24,000
Step-by-step explanation:
just multiply 960 x 25
Which of the binomials below is a factor of this trinomial?
3y2 + 18x+ 24
How are 4.730 and 4.73 eqivalent
Answer:
The zero means nothing, it's just being used as a placeholder, like .7 and 0.7 mean the same thing.
good luck, i hope this helps :)
4.730 and 4.73 are equivalent because 0 has no value therefore if 0 has no value and you take away the 0 than you get 4.73 and 4.73.
what is the value of x in the triangle
Answer:
C
Step-by-step explanation:
Find the length of side x
Answer:
≈3.464
Step-by-step explanation:
1. the required 'x' belongs to the hypotenuse of the given triangle. It means, the formula of its length is:
x=4*cos30°=4*sin60°, note sin60°=cos30°=√3/2≈0.866.
2. according to the formula above the required length 'x' is:
x=4*0.866=3.464 (or 2√3)
Solve for the value of n.
Answer:
3n-4= 44
3n=40
no u can solve
Answer:
17°
Step-by-step explanation:
3n - 5° + 90° + 44° = 180° { being linear pair }
3n + 129° = 180°
3n = 180° - 129°
3n = 51°
n = 51° / 3
n = 17°
Hope it will help :)
A softball has a radius of 3 inches. What is the volume of the softball? Round your answer to the nearest whole number.
Answer:
38
Step-by-step explanation:
V = 4/3 (pie) r(cube)
V = 4/3 (3.14) 3(cube)
V = 4/3 (3.14) (9)
V = 4/3 (28.26)
V = 37.68
V = 38 (Rounded up)
drag each interval to a box to show us the function shown is increasing decreasing or neither over that interval
will give brainliest!!
Answer:
Increasing : -10<x<-8, -2<x<0
Decreasing : 3<x<7
Neither Increasing or Decreasing : -8<x<-5, 8<x<10
Step-by-step explanation:
this is 100% correct. please mark me brainliest!
ms . Morgan plans to serve cookies at a class party each package of cookies cost $2.49 and contains 6 cookies. Ms. Morgan has $17.00 to spend. Will ms. Morgan have enough money to provide each of her 19 students with 2 cookies each ?
Answer:
No
Step-by-step explanation:
A package has 6 cookies for $2.49
Ms. Morgan has 19 students. She wants to give each student 2 cookies, which means each package is enough for 3 students.
19 students × 2 cookies = 38 cookies is what you need
7 packages times $2.49 = $17.43
7 packages × 6 cookies = 42 cookies
42 cookies ÷ 19 students = 2.21 cookies for each student
The points (28,36) and (29, 31) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y=-5x+176
Step-by-step explanation:
Write an algebraic equation showing that the two points equal each other and then evaluate it.
Grayson is going to invest $710 and leave it in an account for 17 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Grayson to end up
with $920?
Answer:
1.52%
Step-by-step explanation:
Sophie has 5 pieces of string that are each 5 feet long. Cooper has 4 pieces of string that are each
3 feet long. Estimate how much more string Sophie has than Cooper has. Enter your answer in the bo
Answer:
Sophie has 12 feet more
Step-by-step explanation:
Solve the system of equations below.
3x +8= 2
7x + 3y = 1
Answer:
I love alegbra anyways
The ans is in the picture with the steps how i got it
(Hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
If x is a positive integer, which of the following must be an even integer that is twice the value of an odd integer.
A. 2x
B. 2x + 1
C. 2x + 2
D. 4x + 1
E. 4x + 2
Convert the mixed number into a improper fraction 5 1/3
Answer:
16/3
Step-by-step explanation: