The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
How to depict the hypothesis?It should be noted that hypothesis testing is done in order to get more information about a particular issue.
In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.
Learn more about hypothesis on:
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pls help ill give brainliest
Answer:
y = -3x + 2
Step-by-step explanation:
use the slope formula to find the slope
replace x and y into slope intercept form with the slope you just found
Bethany is making a rectangular fenced-in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long. What is the total length of fencing, in feet, that Bethany will need?
id
11. A chessboard has diagonals of length
40 cm. What is the length of each side of the
board, to the nearest tenth of a centimetre?
Explain your reasoning.
Answer:
√800 = 28 cm
Step-by-step explanation:
Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.
You now have 2a2=402.
Start solving it:
2a2=402
2a2=1600
(2a2)/2=1600/2
a2=800
√(a2)=√800
a=√800 cm
You can plug this back in to check your answer, and also be sure that a=b is true.
a2+b2=c2
(√800)2+(√800)2=c2
800+800=c2
1600=c2
√1600=√c²
40=c
What’s the circumference of circles
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]
where,
r = radius = 3 ydnow, let's calculate circumference ~
[tex]\qquad \tt \dashrightarrow \:c = 2 \times \pi \times 3[/tex]
[tex]\qquad \tt \dashrightarrow \:c = 6 \pi \: \: yd[/tex]
Now, let's plug in approximate value of pi :
[tex]\qquad \tt \dashrightarrow \:c = 6 \times 3.14 \: \: [/tex]
[tex]\qquad \tt \dashrightarrow \:c = 18.84 \: \: yd[/tex]
What is the value of the expression below when x=4 and y=3?
The question is 5x to the 3rd power plus 4y to the 3rd power
[tex]x = 4\\y = 3[/tex]
Question is [tex]5x^3 + 4y^3[/tex]
We know what [tex]x[/tex] and [tex]y[/tex] are.
[tex]5x^3 + 4y^3 = 5 \times 4^3 + 4 \times 3^3\\= 5 \times 64 + 4 \times 27\\= 320 + 108\\= 428[/tex]
What is the surface area of the cylinder with height 8 ft and radius 3 ft? Round your
answer to the nearest thousandth.
A: 186.885
B: 195.004
C: 205.132
D: 207.345
We know that,
The surface of a cylinder is given by,
2πr(r + h)h= heightr= radiusso,
the surface area of the given cylinder would be,
⇢2π*3(3+8)⇢6π*11⇢66π⇢207.345The area of an isosoles trapezoid is 45cm squared, and it's height is 5cm. Find the perimeter if the length of a leg is 2/3 of the sum of the bases.
Answer:
Perimeter = 42 cm.
Step-by-step explanation:
The 2 legs are equal in length as it is an isosceles trapezoid.
Area of trapezoid = (h/2)(a + b) where a and b are the parallel bases.
So
(5/2) (a + b) = 45
a + b = 45 * 2/5 = 18 cm.
We are given that the length of a leg (L) is 2/3 * sum of the bases, so:
L = 2/3(a + b)
= 2/3 * 18
= 12 cm.
The perimeter = a + b + 2L
= 18 * 2*12
= 42 cm.
Which expression is equivalent to
Answer:
The second expression
Step-by-step explanation:
[tex]\sum_{n=3}^{20}{n(n+1)}=\sum_{n=3}^{20}{(n^2+n)}=\sum_{n=3}^{20}n^2+\sum_{n=3}^{20}n[/tex]
You can split up sums.
Solve for x in the diagram below.
Answer:
x=20Step-by-step explanation:
hope it will help you
Answer:
Step-by-step explanation:
x+ 2x + x +10 = 90
Combine like terms
4x + 10 = 90
To isolate 'x', first subtract 10 from both sides
4x = 90 - 10
4x = 80
Now, divide both sides by 4 to get the value of 'x'
x = 80/4
x = 20
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
Part A
Question
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Using the arrangements formula, it is found that 6 different orders of top-three finishers are possible.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, the possible orders are arrangements of 3 elements, hence, the number of orders is given by:
[tex]A_3 = 3! = 6[/tex]
More can be learned about the arrangements formula at https://brainly.com/question/25925367
#SPJ1
Help please i need this fast
Answer:
Mean=5, 77 Median=6 Mode=6 I hope this will help you
Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.
h(x) =6/square root of (7x+2)
Answer:
f(x) = 6√7
Step-by-step explanation:
f{g(x)}=h(x)
f(7x+2)=6√7x+2
let y = 7x+2
x= (y-2)/7
f(x)= 6 √7(y-2)/7+2
Thus, f(x) =6√7
The circumference of circles
Answer:
circumference = 31.43 cm
Step-by-step explanation:
circumference = 2πr = 2 × 22/7 × 5 = 220/7
= 31.43 cm
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]
where,
r = radius = 5 cmnow, let's calculate circumference ~
[tex]\qquad \tt \dashrightarrow \:c = 2 \times \pi \times 5[/tex]
[tex]\qquad \tt \dashrightarrow \:c = 10 \pi \: \: cm[/tex]
Now, let's plug in approximate value of pi :
[tex]\qquad \tt \dashrightarrow \:c = 10\times 3.14 \: \: [/tex]
[tex]\qquad \tt \dashrightarrow \:c = 31.4\: \: cm[/tex]
The triangles on the grid below represent a translation.
4
3
0
2
1
b
8
54-32-14
1 2
3
b
8
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
Mark this and return
Save and Exit
Next
Answer:
Five units right and three units up.
If you notice there's a ' on the green triangle (a',b',c')
That means that the blue triangle was translated to get to the green triangle
In the translation T of the graph below, use the figure to describe the Following transformation.
Answer:
(a) (x -6, y -2)
Step-by-step explanation:
You seem to want to see the inverse of the translation T, applied twice. Your notation seems to mean ...
For T = (x, y) +(a, b)
T⁻¹ = (x, y) -(a, b) ⇒ T⁻² = (x, y) -2(a, b)
__
Your given transformation is ...
T = (x, y) +(3, 1)
which means ...
T⁻² = (x, y) -2(a, b) = (x, y) -2(3, 1)
T ⁻² = (x -6, y -2)
Find the seperate equation from 2x² - 5xy + 2y²
Please can someone answer this...
I'll mark as BRAINLIEST...
Answer:
There is two simple equations one where you take out x as a comman factor and y as a common factor
Step-by-step explanation:
x(2x - 5y+ 2y squared)
Y(2x squared - 5x + 2y)
Sorry I don't know how to do the sqaure thingy but that's how you find two separate equations
Why Is HDL called the "good cholesterol"?
A. It widens the arteries
B. None apply
C. It returns cholesterol to the liver to be broken down
D. It bring cholesterol to the lungs to be broken down
Answer:
b
Step-by-step explanation:
It helps remove any forms of cholesterol from your blood strem.
Im supper sorry if i do not get it...
The population of a city increases by 0.7% per year. If this year's population is
390,000, what will next year's population be, to the nearest individual?
Answer:
392,730
Step-by-step explanation:
This increase will be over one year which will just be a 0.7% increase
to 390,000
0.7% of 390,000 is 2730
(0.007 * 390,000 = 2730)
390,000 + 2730 = 392,730
Or more simply we can add the increase in percentage to 1 for our multiplier
390,000 * 1.007 = 392,730
Please at least just look to see if its
easy for you
Answer:
4/10
2/5
6/15
Step-by-step explanation:
We can change all fraction to decimal :
2/10 = 0.2
1/10 = 0.1
4/10 = 0.4
2/5 = 0.4
4/5 = 0.8
6/15 = 0.4
Base on that we can see that 4/10, 2/5, and 6/15 are equal
~lenvy~
what is 1 1/2 multiply 12
Answer:
66
Step-by-step explanation:
hello :
1 1/2 multiply 12 means : (11×12/2)= (11×6×2)/2 =66
Angeline puts $2000 into savings account which receives 2.6% interest per year. How much interest will she have on her savings at the end of year??
Thank you so much!
Answer:
A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?
Step-by-step explanation:
[tex]\pink{ \rule{0pt}{99999pt}}[/tex]
In a study of the performance of a new engine design, the weight of 22 aircrafts (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.
Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)
Part B: What is the predicted value for the top speed of an aircraft if its weight is 100 tons? Show your work. (6 points)
The LSRL is the Least Squares Regression Line of the new engine design performance
The LSRL is: y = 11.6559 + 3.47812x The predicted top speed when the weight is 100 tons is 359.4679How to determine the LSRL?This is the equation of the Least Squares Regression Line.
From the calculation summary, we have the following parameters:
Coefficient of constant = 11.6559Coefficient of Weight = 3.47812So, the LSRL is:
y = 11.6559 + 3.47812x
Where y represents the predicted volume and x represents the weight.
The predicted value when the weight is 100 tonsIn (a), we have:
y = 11.6559 + 3.47812x
Substitute 100 for x
y = 11.6559 + 3.47812 * 100
Evaluate
y = 359.4679
Hence, the predicted top speed when the weight is 100 tons is 359.4679
Read more about Least Squares Regression Line at:
https://brainly.com/question/24848242
Write 2^3 multiply √ 2 as a single power of 2.
[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]
Answer:
2^3 x 2^1/2 = 2^7/2
Step-by-step explanation:
Law of indices state that:
a^n × a^y = a^n+y
root 2 is the same thing as 2^1/2
so we can write this equation as;
2^3 × 2^1/2 = 2^3+1/2 = 2^7/2
I NEED HELPPOO will mark you BRAINLIEST The diameter of a circle is 14, and its center is located at (3,-4).
What is the equation of the circle?
Choose from the drop-down menus to complete the equation
(* Choose.. Choose v)2 + (y Choose Choose.
x
.
= Choose .
6
7
8
Step-by-step explanation:
In the scale drawing below
Answer:
47.5m
Step-by-step explanation:
convert cm to metres 1.9cm×5=9.5m
Then times the side lengths with the amount of sides 9.5m×5=47.5m
The flower shop makes bouquets with ten flowers in each bouquet.
The florist said she can't make any bouquets because she has 207 flowers and there is a 0 in the tens place of 207!
Do you agree or disagree with the florist? Explain why in a full sentence below.
What is an externality
Answer:
Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.
the picture below is an example of what it looks like
WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.
the fact of existing outside the perceiving subject.
PLEASE HELP WILL MARK BRAINLIEST!!
Find the area of right angled triangle at J, if ZJ = 14 and JW = 1.
Answer:
7 sq units
Step-by-step explanation:
Area of right angled triangle
= 1/2 * ZJ * JW
= 1/2 * 14 * 1
= 7 sq units
(WORTH 100 POINTS I WILL GIVE BRAINLY)
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Step-by-step explanation:
