Answer:
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o:\mu_1 = \mu_2 = \mu_3[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2 \ne \mu_3[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 5 + 5 + 5 - 3[/tex]
=> [tex]df = 12[/tex]
Generally the critical value of [tex]\alpha = 0.05[/tex] at a degree of freedom of [tex]df = 12[/tex] is
[tex]t_{0.05 , 12} = \pm 2.1788[/tex]
The sum of Manoela's age and 12 is 30.
Let x represent Manoela's age. Write an
equation to represent the sentence above
Answer:
x + 12 = 30
Step-by-step explanation:
For the answer subtract 12 from 30 to get 18 which would be Manoela's age
What is the area, in square feet, of the trapezoid below?
Answer:
93.3 square feet
Step-by-step explanation:
12.8 + 5.9 = 18.7
18.7 x 10 = 187
187 / 2 = 93.3
how to calculate 13C2
Answer:
13C2 = 78
Step-by-step explanation:
Formula
[tex]nCr=\dfrac{n!}{r!(n-r)!}[/tex]
The ! symbol in math is called "factorial". When placed after a number, it means to multiply the number by every natural number below it.
For 13C2:
n = 13r = 2Substitute these values into the formula:
[tex]13C2=\dfrac{13!}{2!(13-2)!}[/tex]
[tex]=\dfrac{13!}{2! \ 11!}[/tex]
[tex]=\dfrac{13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{2 \times 1 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}[/tex]
[tex]=\dfrac{13 \times 12}{2 \times 1}[/tex]
[tex]=\dfrac{156}{2}[/tex]
[tex]=78[/tex]
If each cube in the rectangular prism measures 1 cubic centimeter, what is the volume of the prism?
Answer:
C) 16 cubic cm
Step-by-step explanation:
1 cubic cm / cube
4 x 2 x 2 on each side = 16 cubes
16 cubic cm
The width of DNA is approximately 0.0000000025 meters wide. What is 6 times the width of DNA in Scientific notation
Answer:
Well "0.0000000025 x 6" is "1.5e-8" but
Step-by-step explanation:
Sadly I can't explain anything, It's just not one of my skills :(
The 6 times the width of DNA in Scientific notation will be 1.5 × 10⁻⁸.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The width of DNA is approximately 0.0000000025 meters wide.
The 6 times the width of DNA in Scientific notation will be given as,
⇒ 6 × 0.0000000025
⇒ 6 × 2.5 × 10⁻⁹
⇒ 1.5 × 10⁻⁸
The 6 times the width of DNA in Scientific notation will be 1.5 × 10⁻⁸.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Explain why some systems of equations have no solutions, why some systems have one solution, and why some systems have infinite
solutions.
Answer:Some equations may not have solutions and some may have one or more than one is because of the variables or how they are written
Step-by-step explanation:not 100% sure this is the correct answer,I tried my best.
A system of equations consists on a group of equations that we must solve at the same time.
From this, the solutions of a system of equations appear as the intersections between the graphs of the equations that conform the system.
So for example, if a system has two parallel lines (two lines that never intersect) that system will have no solution.
If a system has two different and not parallel lines, these lines will intersect at some point, so this system will have one solution.
And finally, if the system has twice the same line, the graphs of the lines will intersect in infinite points, thus, this system has infinite solutions.
If you want to learn more, you can read:
https://brainly.com/question/13997560
Given that:
f(x)=2x^2-3x-4 & g(x)=2x-2
Find the following:
g(2)=
Answer:
2
Step-by-step explanation:
substitute 2 in for x in the g(x) to get 2(2)-2= 2
Using the MACRS rates from the following table,
what is the book value of a $3,500 computer after 2
years?
Year MACRS Rate
1
20.0 %
2 32.0 %
3 19.2 %
4 11.52 %
5 11.52 %
book value = [?]
The book value of a $3,500 computer after 2 years is $2380
How to calculate book value
The book value is gotten by subtracting the product of the initial value and MACRS rate from the initial value.
The book value after 2 years = 3500 - (32% of 3500)
The book value after 2 years = 3500 - (0.32 * 3500) = 2380
The book value of a $3,500 computer after 2 years is $2380
Find out more on book value at: https://brainly.com/question/23057744
three friends are selling items at a bake sale.may makes $23.25 selling bread inez sells gift baskets and makes 100 times as much as may . jo sells pies and makes one tenth of the money inez makes how much money does each friend make?
Answer:
May makes $23.25, Inez makes $2325, and Jo makes $232.50.
Step-by-step explanation:
Inez makes 100x 23.25= 2325
jo makes 2325/10=232.5
Select the correct answer.
Chase is constructing equilateral triangle EFG inscribed in a circle.
He begins by using a compass to draw circle X. He then uses a straightedge to draw a diameter of the circle and labels the endpoints D and E.
How can Chase find points Fand G?
OA.
Points Fand G are endpoints of a chord that is perpendicular to and bisects DE.
OB.
Points F and G are the points where circle X intersects a congruent circle centered at D.
O c.
Points Fand G are the points where circle X intersects a congruent circle centered at E.
OD
Points F and G are points of intersection of two congruent circles centered at D and E.
In the construction of the equilateral triangle EFG inscribed in a circle, Chase can find points F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E.
What is an equilateral triangle?It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.
After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius the circle.
In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.
Learn more about triangles on:
https://brainly.com/question/17335144
Answer: D
Step-by-step explanation:
I got it write on edmentum
A cube is 5 feet on each side. What is its volume? 125 ft 3 150 ft 3 25 ft 3 50 ft 3
[tex] \mathfrak{V=a³}[/tex]
Where,
a is the length of edgeIn our case,
a = 5 feet[tex] \sf \: V= {5}^{3} [/tex]
[tex] \sf \: V= {125} \: ft^{3} [/tex]
➪ Thus, The volume of the cube is 125 feet³...~
We know that:
[tex]Volume = L^{3} = (L)^{3}[/tex]
Substituting the side length into the equation:
[tex]Volume = (L)^{3}[/tex]
[tex]Volume = (5)^{3}[/tex]
Evaluating the volume:
[tex]Volume = (5)(5)(5)[/tex]
[tex]Volume = 125 \space\ ft^{3}[/tex]
There are 72 seats on a train. 54 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
Explanation:
A ratio is the fractional representation of two different numbers, defined by the order in which we want to describe them We want a ratio of (Occupied)/(Empty) seats, so we put the occupied seat value in the numerator and the empty seat value in the denominator.
Ratio = 17/11
The decimal form can be obtained by doing the division: 1.545 occupied seats per empty seat.
Molly and Susan went to lunch at a restaurant. Their check came to $32. They want to leave a 18% tip. What is the total cost of their meal?
Answer:
$37.76
Step-by-step explanation:
.18*32 = 5.67
5.67+32 = 37.76
Carly withdraws $18 from her bank account. Which number line represents this amount?
A number line going from negative 20 to positive 20. A point is at 18.
A number line going from negative 20 to positive 20. A point is at 12.
A number line going from negative 20 to positive 20. A point is at negative 12.
A number line going from negative 20 to positive 20. A point is at negative 18.
Answer:
D is correct answer
Step-by-step explanation:
Answer:
it is d i know im late but may i plz get brainliest
Step-by-step explanation:
If vector p = [5, –3] and vector q = [1,4], find
|p⃗−5q⃗|
Answer:
its answer is 17 first find p and q value then use x2-x1 y2-y1 formula
can you please help me
Answer:
answer 1 goes in 1st box
answer 2 goes in box 3
answer 3 goes in box 2
answer 5 goes in the last box
answer 4 goes in 2nd to last box
Step-by-step explanation:
dose anybody know the answer me and my friend is betting
A sound wave has an equation y=5sin(124pi t) Where t= time in seconds. What is its frequency?
Step-by-step explanation:
Frequency is b/2 pi.
Here b is 124 pi. so the frequency is
[tex] \frac{124\pi}{2\pi} = 52[/tex]
The frequency is 52
Answer: 62
Step-by-step explanation:
I got it correct with this answer
Write an equation in a slope-intercept form for the line described.
parallel to y=4x+2, y-intercept at 4
Answer: y= 4x + 4
Step-by-step explanation: The equation is in slope intercept form, y=mx+b. The slope is the same since it is parallel to the equation, and since b is the x interecept, b is 4.
what is 1 x 3/4 x 1/2 =
Answer:
3/8
Step-by-step explanation:
3/4 x 1/2 = 3/8
3/8 x 1/1 = 3/8
Hope that helps!
Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal now?
Answer:
8 + x
Step-by-step explanation:
She started with 8 entries.
She added x entries.
The total now is the sum of 8 and x.
Answer: 8 + x
Consider the function f(x) = 7^x and g(x) = 7^x+ 6. How is the function g(x) translated from f(x)?
Gift Wrapping A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover
the box?
14 in
4 in
12 in
14 + 4 +12 = 30 which means that the answer is 30 so here you go
PLEASE HELP ASAP!!
A factory makes 5.42 feet of rope per minute. How many feet of rope will the factory make in 4 minutes?
Answer:
21.68 feet
Step-by-step explanation:
5.42 feet in one minute
so how many in 4 minutes
just multiple the rate (5.42 feet per minute) by 4 to get 21.68 feet
40 divided by 28 .can you pls exsplain in a way a 5th grader can understand?
Answer:
1.42857
Step-by-step explanation:
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]28\overline{|\smallspace40}\:\:[/tex]
[tex]\mathrm{Divide\;40\;by\;28\;to\;get\;1}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\:\:\:\:\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{Divide\;120\;by\;28\;to\;get\;4}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\:\:\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0}\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{Divide\;80\;by\;28\;to\;get\;2}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace2\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{Divide\;240\;by\;28\;to\;get\;8}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace28\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2\emptyspace4}\\160[/tex]
[tex]\mathrm{Divide\;160\;by\;28\;to\;get\;5}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace285\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2\emptyspace4}\\160[/tex]
[tex]\underline{\emptyspace1\emptyspace4\emptyspace0}\\200[/tex]
[tex]\mathrm{Divide\;200\;by\;28\;to\;get\;7}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace2857\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2\emptyspace4}\\160[/tex]
[tex]\underline{\emptyspace1\emptyspace4\emptyspace0}\\200[/tex]
[tex]\underline{\emptyspace1\emptyspace9\emptyspace6}\\4[/tex]
[tex]\mathrm{Stopping\:at\:5\:decimal\:places}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{40}{28}\:\mathrm{is}\:1.42857[/tex]
~[RevyBreeze]~
Tell me if you don't understand!
The division of the expression when 40 divided by 28 is [tex]\dfrac{10}{7}[/tex] or 1.42857143.
A number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.
The factors of 12 are = 1,2,3,4,6 and 12.
Here, when these factor will divide 12, there will no remainder, i.e. they will completely divide 12.
The division of the expression 40 divided by 28 is calculated as:
The factors of 40 are : 1,2,4,5,8,10,20 and 40
The factors of 28 are: 1,2,4,7,14 and 28.
This expression can be written as:
[tex]\dfrac{40}{28}=\dfrac{1\times2\times4\times5\times8\times10\times20\times40}{ 1\times 2\times 4\times 7\times 14\times 28}[/tex]
The numbers cancel out using the rule of divisibility, and the remaining fraction will be [tex]\dfrac{10}{7}[/tex] and in decimal form will be 1.42857143.
Thus, when 40 is divided by 28, the result is 1.42857143 or [tex]\dfrac{10}{7}[/tex] in fraction form.
Learn more about factors here:
https://brainly.com/question/29128446
#SPJ6
tHanks again everyone
Answer:
option B shows the correct solution.
Find y-intercept:
3y - 4x = -3
3y - 4(0) = -3
3y = -3
y = -1
Find x-intercept:
3y - 4x = -3
3(0) - 4x = -3
-4x = -3
x = 3/4
Check option B
Passes through (0,-1)So
3y-4x=-33(-1)-4(0)=-3-3=-3Hence verified
Option B is correct
find the square roots of 36 + 36sqrt3i
Answer:
[tex]3\sqrt{6}+3\sqrt{2}i[/tex] and [tex]-3\sqrt{6}-3\sqrt{2}i[/tex]
Step-by-step explanation:
For a complex number [tex]z=a+bi[/tex] in rectangular form, polar form is [tex]z=r[cos(\theta)+isin(\theta)][/tex] where [tex]r=\sqrt{a^2+b^2}[/tex] and [tex]\theta=tan^{-1}(\frac{b}{a})[/tex]:
[tex]r=\sqrt{a^2+b^2}\\\\r=\sqrt{(36)^2+(36\sqrt{3})^2}\\\\r=\sqrt{1296+3888}\\\\r=\sqrt{5184}\\\\r=72[/tex]
[tex]\theta=tan^{-1}(\frac{b}{a})\\ \\\theta=tan^{-1}(\frac{36\sqrt{3}}{36})\\ \\\theta=tan^{-1}(\sqrt{3})\\\\\theta=\frac{\pi}{3}[/tex]
Thus, our complex number in polar form is [tex]z=72[cos(\frac{\pi}{3})+isin(\frac{\pi}{3})][/tex]. This will help us determine the square roots of the complex number using the formula [tex]\sqrt[n]{r}\biggr[cis\bigr({\frac{\theta+2\pi k}{n})\biggr][/tex] for [tex]k=0,1,2,\: ... \:,n-1[/tex]. Note that [tex]cis(\theta)=cos(\theta)+isin(\theta)[/tex]:
1st square root for k = 2-1 = 1
[tex]\sqrt[n]{r}\biggr[cis\bigr({\frac{\theta+2\pi k}{n})\biggr][/tex]
[tex]\sqrt[2]{72}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi(1)}{2})\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi}{2})\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis\bigr(\frac{\pi}{6}+\pi)\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis\bigr(\frac{7\pi}{6})\biggr][/tex]
[tex]6\sqrt{2}\biggr[cos(\frac{7\pi}{6})+isin(\frac{7\pi}{6})\biggr]\\ \\6\sqrt{2}(-\frac{\sqrt{3}}{2}-\frac{1}{2}i)\\\\-3\sqrt{6}-3\sqrt{2}i[/tex]
2nd square root for k = 1-1 = 0
[tex]\sqrt[6]{72}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi(0)}{2}\bigr)\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis(\frac{\pi}{6} )\biggr][/tex]
[tex]6\sqrt{2}[cos(\frac{\pi}{6})+isin(\frac{\pi}{6})]\\ \\6\sqrt{2}(\frac{\sqrt{3}}{2}+\frac{1}{2})\\\\3\sqrt{6}+3\sqrt{2}i[/tex]
Therefore, the square roots of [tex]36+36\sqrt{3}i[/tex] are [tex]3\sqrt{6}+3\sqrt{2}i[/tex] and [tex]-3\sqrt{6}-3\sqrt{2}i[/tex].
The table below helps to change centimetres into inches.
About how many inches are there in 14 centimetres?
Answer:
5.51181 Inches
Step-by-step explanation:
No table is provided, to turn cm to inches divide the cm by 2.54, if you need help with division contact me, thank you.
5 Isabella ran the 100-meter dash five times. The time it took her to complete each
race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
Part A
Isabella wants to order the race times from her longest time to her shortest time.
Write the decimals in order from greatest to least.
12.87
12.1.
12.07
12.07
DE
Answer:
12.87 12.1 12.07 12.07
Step-by-step explanation:
Help help ASAP ASAP
Answer:
6
Step-by-step explanation:
5y - 12 = 18
5y = 30
y = 6
Answer:
I would say five, not positive though. if it isn't five then i'd say 12!
Step-by-step explanation: