Suppose you will perform a test to determine whether there is sufficient evidence to support a
claim of a linear correlation between two variables. Find the critical values of r given the
number of pairs of data n and the significance level a.
n=12. a.= 0.01
Answers
Answer:
The critical values of r are -0.708 and 0.708.
Step-by-step explanation:
A statistical test is being performed to determine whether there is any linear correlation between two variables.
The hypothesis can be defined as follows:
H₀: There is no linear correlation between two variables, i.e. ρ = 0.
Hₐ: There is a significant linear correlation between two variables, i.e. ρ ≠ 0.
The test statistic is given as follows:
[tex]t = \frac{r\sqrt{n-2}}{\sqrt{1-r^{2}}}[/tex]
The degrees of freedom of the test is:
[tex]\text{df}=n-2=12-2=10[/tex]
The significance level of the test is, α = 0.01.
The critical values of r are:
[tex]r_{\alpha/2, (n-2)}=r_{0.01/2, (12-2)}=r_{0.005, 10}=\pm0.708[/tex]
*Use the r critical value table.
Thus, the critical values of r are -0.708 and 0.708.
From the 'r' table, the values of 'r' are -0.708 and 0.708.and this can be determined by using the hypothesis test.
Given :
Suppose you will perform a test to determine whether there is sufficient evidence to support the claim of a linear correlation between two variables.Number of pairs of data n and the significance level a is n = 12, a = 0.01.The hypothesis test is performed in this problem. The null and alternate hypothesis is:
[tex]\rm H_0 : p=0\\[/tex]
[tex]\rm H_1:p\neq 0[/tex]
The t-statistics is given by:
[tex]\rm t =\dfrac{r\sqrt{n-2} }{\sqrt{1-r^2} }[/tex]
Degree of freedom is given by:
df = n - 2 = 12 - 2 = 10
The significance level for this test is [tex]\alpha = 0.01[/tex]
Now, the critical value r is given by:
[tex]\rm r_{\alpha /2,(n-2)}=r_{0.01/2,(12-2)}=r_{0.005,10} = \pm0.708[/tex]
So, from the 'r' table, the values of 'r' are -0.708 and 0.708.
For more information, refer to the link given below:
https://brainly.com/question/2817633
Related Questions
If X = 7 units, Y = 4 units, Z = 18 units, and h = 7 units, what is the surface area of the triangular prism shown above?
Answers
Answer:
Step-by-step explanation:
In what form is the following linear equation written?
3x – 2y =4
A. Rise-run
B. Standard
C. Point-slope
D. Slope-intercept
Answers
Answer: The answer is standard.
Step-by-step explanation: The equation for standard is ax+by+c.
Answer:
Standard Form
Step-by-step explanation:
Standard form:
ax+by=c
hope this helped and pls brainliest!
Find the value of k to complete the square for the quadratic equation:
y = x2 - 6x + k
Answers
Answer:
[tex]\sqrt[/tex]y+5x=k
Step-by-step explanation:
y=x^2-6x+k
y+6x=x^2+k
[tex]\sqrt[/tex]y+6x=x+k
[tex]\sqrt[/tex]y+5x=k
Please help me with this its 1 problem should not be hard for most just that I'm tired and would need some help if somebody can help me!
Answers
Answer:
3) 9/16
Step-by-step explanation:
1/2*3/4*3/2=
3/8*3/2=
9/16
Hope this helped and brainliest plss
Please help asap, djdbdjbf
Answers
Answer:
x = 20
Step-by-step explanation:
so we aren't give the angle across from 70, but we are given the degree on the outside, so if we take that and subtract it from 180 we will get the degree inside the triangle which is 70. (this also appears to be an isosceles triangle so it would be 70 anyway, but we can do this just to make sure.) Then, since all of the angles in the triangle add up to 180, we can subtract 140 (both 70 degrees) from it and we are left with 40. Divide 40 by 2 and you will get 20 which is the measure for angle x! Hope this helps
Solve for x in the diagram below.
100°
20
2=
Answers
Answer:
x = 40
Step-by-step explanation:
The answer is x = 40. This is because the two angles that are x are 1. congruent and 2. supplementary with 100° (They all add up to 180°). I can show this with a simple equation.
1. 2x + 100 = 180
2. 2x = 80
3. x = 40
Hope this helps! (Please consider giving brainliest)
Which graph shows the line y - 2 = 2(x + 2)?
A/B/
10
D
Answers
Step-by-step explanation:
if y was 0 then
0 - 2 = 2(x+2)
-2=2x+4
-6=2x
-3
if y was 1 then
1 - 2 = 2(x+2)
-1=2x+4
-5=2x
-2.5
now if y was 2 then
2 - 2 = 2(x+2)
0 = 2x + 4
-4=2x
-2
What will happen to the graph of the line y = 3/4x – 7 if you change 3/4 to −3/4?
Answers
Answer:
Below.
Step-by-step explanation:
The slope is given by the coefficient of x (= 3/4) .
If the slope changes to -3/4 the line will slope in the opposite direction.
If the slope is 3/4(positive) it rises to the right and if it is -3/4 it will rise to the left, but will rise at the same rate.
The 2 lines will cross each other when 3/4x - 7 = -3/4x - 7:
3/4x - 7 = -3/4x - 7
6/4 x = 0
x = 0
So they will cross at the point (0, -7).
2. The height of a rhombus 8 cm. The area of the rhombus is 72 square centimeters.
What is base of the rhombus?
Answers
Answer:
The base of the rhombus is equal to 9 centimeters.
Step-by-step explanation:
To calculate the base of the rhombus, we will follow the steps below;
write the formula for calculating the area of a rhombus
area of a rhombus = b × h
where h is the height of the rhombus and b is the base of the rhombus
From the question given, area of the rhombus = 72 square centimeters and height of the rhombus is 8 centimeters.
we can now proceed to insert the values into the formula and then solve for b
area of a rhombus = b × h
72 = b × 8
Divide both-side of the equation by 8
[tex]\frac{72}{8}[/tex] = b × 8 /8
[tex]\frac{72}{8}[/tex] = b
9 = b
b = 9 centimeters
The base of the rhombus is equal to 9 centimeters.
Which of the following is correct for the area of a square with side length of 3m
Answers
Answer:
The area of the square is 9 cm squared
Step-by-step explanation:
I know this because the formula for a square is s squared in which s represents sides so if i substitude the known value in i would get the answer of 9 cm squared.
Solution,
Length=3m
Area of square=(l)^2
=(3)^2
=3*3
=9m^2
hope it helps
Good luck on your assignment
Hi! 15+ points for this! :D
1. Alex has $40, and Ellen has $24. Alex is saving $6 per day, and Ellen is saving $10 day. After how many days will Alex and Ellen have the same amount of money?
2. Kendra owns a restaurant. She charges $6.00 for two eggs and one piece of toast and $3.60 for one egg and one piece of toast. How much does Kendra charge per egg? How much per piece of toast?
3. A restaurant has one type of lemonade that is 30% sugar and another that is 10% sugar. How many gallons of each type does the restraint need to make 4 gallons of a lemonade mixture that is 15% sugar?
4. A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration should be combined to make 25 fl oz of 3.2% acid solution?
16. The speed of a kayaker is 5.75 mi/h paddling with the river current and 3.25 mi/h paddling against it. What is the speed of the river current?
Susan make $12 per hour babysitting and $24 per hour as a lifeguard. Her goal is to make at least $420. Write an inequality, graph the solution, and list three possible solutions
25. Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 40 ft, and the distance around should be no more than 150 ft. Write a systems of inequalities and graph to represent the possible dimensions of the pen.
Answers
Answer:
1. 4 days
2. $1.2
3. 1 and 3 gallons
4. 15 and 10
16. 1.2 mi/h
-- Please refer to graph
-- Please refer to graph
Step-by-step explanation:
Solution 1.
Alex has $40, and Ellen has $24. Alex is saving $6 per day, and Ellen is saving $10 day.
Let x be the number of days in which they both have same money:
As per given statement:
[tex]40 + 6x=24+10x\\\Rightarrow 4x = 16\\\Rightarrow x =4[/tex]
In 4 days, they will have same money.
Solution 2:
Kendra owns a restaurant. She charges $6.00 for two eggs and one piece of toast and $3.60 for one egg and one piece of toast.
Let x be the price of one egg.
Let y be the price of one toast.
As per given statement:
[tex]2x+y=6 ...... (1)\\x+y= 3.6 ...... (2)[/tex]
Subtracting (2) from (1):
[tex]\Rightarrow x = \$2.4[/tex]
Price of toast = 3.6 - 2.4 = $1.2
Solution 3:
A restaurant has one type of lemonade that is 30% sugar and another that is 10% sugar. Resultant mixture 4 gallons of 15% sugar.
Let x be the amount of lemonade with 30% sugar.
Amount of another lemonade with 10% sugar = (4-x)
As per question statement:
[tex]x \times 30\% + (4-x) \times 10\% = 4 \times 15\%\\\Rightarrow x \times 30 + (4-x) \times 10 = 4 \times 15\\\Rightarrow 20x = 20\\\Rightarrow x = 1[/tex]
Lemonade with 30% sugar required is 1 gallon.
Lemonade with 10% sugar required is 3 gallons.
Solution 4:
A scientist has a container of 2% acid solution and a container of 5% acid solution. Resultant mixture is 25 fl oz of 3.2%.
Let x be the amount of 2% acid solution.
Amount of another lemonade with 5% acid solution = (25-x)
As per given question statement:
[tex]2\%\ of\ x + 5\% \ of\ (25-x) = 3.2\%\ of\ 25\\\Rightarrow 2x + 5(25-x)=3.2 \times 25\\\Rightarrow -3x = -1.8 \times 25\\\Rightarrow x = 15[/tex]
2% acid solution required is 15 fl oz.
5% acid solution required is 10 fl oz.
Solution 16:
Let v be the speed of river current.
Let u be the speed of kayaker.
As per question:
The speed of a kayaker is 5.75 mi/h paddling with the river current and 3.25 mi/h paddling against it.
[tex]u +v=5.75......(1)\\u-v = 3.25.....(2)[/tex]
Equation (1) - (2):
[tex]2v = 2.5\\\Rightarrow v = 1.25\ mi/h[/tex]
----------------------------------
Susan make $12 per hour babysitting and $24 per hour as a lifeguard. Her goal is to make at least $420.
Let x be the number of hours for babysitting.
Let y be the number of hours as lifeguard.
As per given statement:
[tex]12x+24y > 240[/tex]
Please refer to graph attached with file name: Inequality
Three possible solutions: (20,20), (21,21) and (22,22)
----------------------------------
25. Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 40 ft, and the distance around should be no more than 150 ft
Let x be length
and y be width.
As per statement:
x > 40
And perimeter should be less than equal to 240.
2(x+y) [tex]\leq[/tex] 240
Please refer to attached graph with name: "2EquationInq"
Possible dimensions of pen can be (50,20).
Find x in this proportion.
5/2x =25/4
x =
2/5
5/2
4/5
8/5
Answers
Answer:
2/5
Step-by-step explanation:
make it reciprocal
2x/5 = 4/25
cross multiply the numbers
2x × 25 = 4×5
2x= 20/25
2x= 4/5
x = 2/5
Solve for y: 4y = 32 A. y = 4 B. y = 6 C. y = 8 D. y = 9
Answers
Answer:
C
Step-by-step explanation:
4y=32
Taking 4 to the other side
y=32/4
y=8
Answer:
c
Step-by-step explanation:
c
FIRST CORRECT ANSWER I WILL GIVE BRANLIEST TO!!
Answers
Answer:
X*8=36Hope it helps
Good luck on your assignment
Find the domain of the graphed function. (Please help me)
Answers
Answer:
Step-by-step explanation:
I belive it is a .
Please help ASAP! EASY
Answers
Answer:
0.6 miles
Step-by-step explanation:
Fill in the blank with a number to make the expression a perfect square.
Answers
Answer:
v^2 + 14v + 49
Step-by-step explanation:
v^2 + 14v
Take the coefficent of v
14
Divide by 2
14/2 = 7
Square it
7^2 = 49
This is the number you add to make a perfect square
how how many students hade more than 6 candy bars (use the picture above)
Answers
Answer:
About 5 if your are including 6, or just 3.
Step-by-step explanation:
To find it you can just count the numbers greater than 6.
Hope this helps.
brainliest if correct
Answer:
3 Students
Step-by-step explanation:
There is only two more slots for how many candy bars each student has, in the "7" slot there is only one student that has seven candy bars and in the "8" slot there is two students that had eight candy bars.
1+2=3
I hope that helped.
If you multiply 235 by 49, what will be the partial products?
Answers
Answer:
Step-by-step explanation:
(200+30+5)(40+9)
40*200 = 8000
40*30= 1200
40*5=200
9*200= 1800
9*30=270
9*5=45
8000+1200+200+1800+270+45 =11515
The multiplication of 235 and 49 is 11515 and partial products are 8000, 1800, 1200, 270, 200, and 45.
Given that,
Multiply the numbers 235 by 49.
We have to find,
What will the partial products?
According to the question,
To determine the partial products of the given numbers following all the steps given below.
Multiplication of the numbers; 235 by 49,
Step1; The given number can be written into small factors,[tex]= 235 \times 49\\\\= (200+35+5) \times (40+9)\\\\[/tex]
Step2; Multiply all the terms (200+35+5) by (40+9).[tex]= (200+35+5) \times (40+9)\\\\= 200(40+9) + 35(40+9) + 5 (40+ 9)[/tex]
Step3: Solve the equation by multiplication then add the terms,[tex]= 200(40+9) + 30(40+9) + 5 (40+ 9)\\\\ = 200 \times 40 + 200 \times 9 + 30 \times 40 +30 \times 9 + 5 \times 40 + 9 \times 5\\\\= 8000 + 1800 + 1200+ 270+ 200 + 45 \\\\= 11515[/tex]
Hence, The multiplication of 235 and 49 is 11515 and partial products are 8000, 1800, 1200, 270, 200, and 45.
To know more about Partial products click the link given below.
https://brainly.com/question/16505829
A googol is the number 1 followed by 100 zeros. Earth's mass is 5.972 × 10²⁴ kilograms. How many Earths are needed to have a total mass of 1 googol kilograms?
Answers
Answer:
[tex]1.6744809109 *10^{75}[/tex] Earths
Step-by-step explanation:
To find how many Earths are needed, take 1 googol divided by Earth's mass
[tex]\frac{\left1\times10^{100}\right}{5.972\times10^{24}}[/tex] Divide
[tex]1.6744809109 *10^{75}[/tex] Earths are needed to have a total mass of 1 googol kilograms.
Quadrilateral ABCD is translated up and to the right and then rotated about point Q. Which congruency statement is correct?
Answers
Answer: B
Step-by-step explanation:
The congruency statement would be correct as ABCD ≅ ZYXW because the new triangle will be congruent to the original triangle when a triangle is translated.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given that Quadrilateral, ABCD is translated up and to the right and then rotated about point Q.
The following are the related points from the entire question:
Point A and point Z
Point B and point Y
Point C and point X
Point D and point W
This represents that:
Points A and Z are corresponding
Points B and Y are corresponding
Points C and X are corresponding
Points D and W are corresponding
Hence, the congruency statement would be correct as ABCD ≅ ZYXW because the new triangle will be congruent to the original triangle when a triangle is translated.
Learn more about the congruent triangles here:
brainly.com/question/4364353
#SPJ6
The question seems to be incomplete the correct question would be
Quadrilateral ABCD is translated up and to the right, and then
rotated about point Q. Which congruency statement is
correct?
ABCD = WXYZ
ABCD = ZYXW
ABCD WZYX
ABCD = ZWXY
Find the first six terms of the sequence. a1 = 7, an = an-1 + 6
Answers
Answer:
7, 12, 17, 21, 26, 31
Step-by-step explanation:
The first term in the sequence is 7 we know this cause the first equation (a1 = 7) is telling us what the first term is. To find the next term we use the second equation (an = an - 1 + 6) we us the first term subtract 1 and then add 6 ( 7 - 1 = 6, 6 + 6 = 12) the second terms is 12. To find the rest of the terms we continue using the second equation but instead of with 7 this time we use 12 then the next time 17 then 21 then 26 so on and so forth.
Answer:
It's 7,13,19,25,31,37
Step-by-step explanation:
Trust me
Ivan has a $500 bond with a 5.8% coupon. Ivan purchased this bond for $515.
What is the yield of this new bond?
Answers
Answer:
The yield is 5.974%
Step-by-step explanation:
We proceed as follows ;
coupon rate = Annual coupon payment/bond face value.
The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%
mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87
mathematically;
current yield = Annual coupon payment/bond price
current yield = 29.87/500
= 0.05974 or simply 5.974%
so the answer is c. 5.6%
Step-by-step explanation:
Answer:
A 6.0%
Step-by-step explanation:
coupon rate = Annual coupon payment/bond face value.
The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%
mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87
mathematically;
current yield = Annual coupon payment/bond price
current yield = 29.87/500
= 0.05974 or simply 5.974%
5.974 rounded to 6.0 %
In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A in terms of C.(your answer should not contain r)
Answers
Answer:
[tex]A = \dfrac{C^2}{4\pi}[/tex]
Step-by-step explanation:
Given that
Area of a circle [tex]A=\pi r^2[/tex]
Circumference of the circle [tex]C = 2 \pi r[/tex]
Let us re-write the equation of area of circle:
[tex]A=\pi r^2[/tex]
[tex]A = \pi \times r \times r[/tex]
Multiplying and dividing with 2:
[tex]A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}[/tex]
Hence, A in terms of C can be represented as:
[tex]A = \dfrac{C^2}{4\pi}[/tex]
Given that f(x) = x^3 + 2x^2 + 1, g(x) = −x^3 −x^2 −4x+ 4, h(x) = f(x) +g(x), and h(x) = 1, what is the value of x?
Answers
Answer:
x = 2
Step-by-step explanation:
h(x) = f(x) + g(x) = x³ + 2x² + 1 - x³ - x² - 4x + 4 ← collect like terms, thus
h(x) = f(x) + g(x) = x² - 4x + 5
Given
h(x) = 1, then
x² - 4x + 5 = 1 ( subtract 1 from both sides )
x² - 4x + 4 = 0 ← in standard form
(x - 2)² = 0 ← in factored form ( perfect square ), thus
x - 2 = 0 ⇒ x = 2
A linear equation written in the form y = mx + c is known as,
a) y-intercept
b) point-slope form
c) standard form
d) slope-intercept form
Answers
Answer:
it is a slope intercept form
PLEASE HELP ME! Sketch a triangle and label correctly. Work must be shown for this problem. Round answers to the nearest hundredth (2 decimal places).
Answers
Answer:
We can use the trigonmetry to solve for this. So first, we need to get that cos(69) = x/16. So then we multiply by 16 and get 16cos(69). Therefore if we use that as an answer approx it gives 5.734.
Answer: 5.734 approx.
What is the additive inverse of the complex number -3 + 3/?
-8 - 3
-8 + 3;
O 8 - 31
O 8 + 3
Answers
Answer:
0 8 + 3
hope this is right if not im so sorry
Find the value of each variable. Be sure to explain your answers.
a ⋅ 3 = - 30
-9 ⋅ b = 45
-84 ⋅ 12 = c
d ⋅ 88 = -88,000
a =
b =
c =
d =
Answers
Answer:
a = -10
b = -5
c = -1008
d =-1000
Step-by-step explanation:
a = -30/3
b = 45/-9
c = -84x12
d = -88000/88
Answer: A = -10. B = 54. C = -1008. D = -1000
Step-by-step explanation:
a * 3= - 30 You must divide 3 on both sides in order to get the a alone.
a * 3/3= - 30/3 And once you divide 3 from both sides you end up with
a= -10 And a equals negative 10
-9 * b = 45 You have to add 9 to both sides to get b alone.
-9 +9 *b= 45 +9 And you end up with with
b= 54 b equals 54
-84 * 12= c Since the c is already alone all you have to do is solve the problem
-84 time 12 eqauls -1008, its a negative because it has a negative in the equation
-1008= c
d *88 = -88,000 You have to divide 88 from both sides to get the d alone.
d * 88/88 = -88,000/88. And you end up with
D = -1000 d equals negative 1000
I WILL GIVE YOU BRAINLIEST!! what is the solution to the following equation? x^2+5x+7=0
Answers
Answer:
The answer is C
Step-by-step explanation:
By using the quadratic formula, you get
a=1
b=5
c=7
so, when you substitute, you get:
-5±√5²-4(2)(7)
____________
2(1)
The next step is solving the square root and multiplying
