x=3 and y = -1. ....thank uh.. ,
3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.
the correlation coefficient for Alfonso survey is 0.36.
What is the correlation coefficient?
The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The table below shows the values of the data x, y and the correlation calculations.
The formula of correlation coefficient is
[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]
From the table substitute all the values.
⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]
⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]
⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]
⇒ [tex]r=\frac{116}{324.81}[/tex]
⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]
Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.
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divide 3520 in the ratio 11:12:17
Answer:
(11+12+17)x = 40x.
Step-by-step explanation:
Rs 3520 is divided in the Ratio 11:12:17 as Rs 968, Rs 1056, Rs 1496. According to the question, we have to divide Rs 3520 in the ratio 11:12:17. Let the common ratio be x. So, total share = (11+12+17)x = 40x.
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50
-x/2+4<12
-4 -4
-x/2<8
*2 *2
-x<16
/-1 /-1
x<-16
---
hope it helps
Tyler bought shoes for $72. The next week he noticed that the price went
up to $87. What was the percent increase (percent change)? Round your
answer to the nearest whole percent. *
Answer:
Percent increase is 21%
Step-by-step explanation:
Initial cost of shoes = $72
New price of shoes = $87
Increase in price of shoes = New price of shoes - Initial cost of shoes
= [tex]87-72[/tex]
= $15
Percentage increase in price of shoes = ( Increase in price of shoes ÷ Initial cost of shoes) × 100
= [tex]\frac{15}{72}(100)=20.8\%[/tex]
≈ 21%
So, percent increase is 21%
Help I have 10 mins.
Answer:
[tex]\sqrt{0.5}[/tex]
Step-by-step explanation:
cosx=adj/hyp
adj= [tex]\sqrt{2}[/tex]/2
hyp= r
cos(45)= ([tex]\sqrt{2}[/tex]/2)/r
[tex]\sqrt{2}[/tex]/2 = ([tex]\sqrt{2}[/tex]/2)/r
multiply both sides by r
([tex]\sqrt{2}[/tex]/2)r = [tex]\sqrt{2}[/tex]/2
divide both sides by [tex]\sqrt{2}[/tex]/2
r = 1
pythagorean theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
a = [tex]\sqrt{2}[/tex]/2
b = y
c = r = 1
[tex](\sqrt{2}/2)^{2}[/tex] + [tex]y^{2}[/tex] = [tex]1^{2}[/tex]
[tex](\sqrt{2}/2)^{2}[/tex] = 2/4 = 0.5
0.5 + [tex]y^{2}[/tex] = 1
subtract 0.5 from 1
[tex]y^{2}[/tex] = 0.5
[tex]\sqrt{y^{2}}[/tex] = [tex]\sqrt{0.5}[/tex]
y = [tex]\sqrt{0.5}[/tex]
Miki already knew 4 appetizer recipes before starting culinary school, and she will learn 1 new appetizer recipe during each week of school. Write an equation that shows the relationship between the number of weeks x and the number of appetizer recipes y.
Answer:
y = 4 + x
Step-by-step explanation:
Appetizer recipe Miki knows already = 4
Appetizer recipe learnt per week = 1
x = number of weeks
y = total number of appetizer recipes Miki knows
Equation that shows the relationship between the number of weeks x and the number of appetizer recipes y
y = 4 + x
A high school marching band has 55 male members. It is determined that five-eighths of the band members are Male. Write the equation that represents the total number of members in the band (use the letter n to represent the number)?
Answer:
5/8 * n = 55
Step-by-step explanation:
find the area of a circle with a circumference of 6.28 units....
it's hard so what is the answer
Answer:
3.14
Step-by-step explanation:
How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?
Answer:
1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think the answer is B - 16
Step-by-step explanation:
Sorry if I'm wrong
Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought? T=0.29pt = 0.29 p t=0.31pt = 0.31 p t=3.45pt = 3.45 p t=3.48p
Answer:
T = 0.29p
Step-by-step explanation:
From the table Given :
We can obtain the uint cost per pound of wood :
Cost of 12 pounds of wood = $3.48
Cost per pound = Cost / weight
Cost per pound = $3.48 / 12 = $0.29
Hence, the proportional relationship cost, T in dollars and p pounds of wood is ;
Cost = unit cost per pound * number of pounds
T = 0.29 * p
T = 0.29p
What is the equation of a line perpendicular to the line y = -1/5 x + 3 and going
through the point (4,-1). Please write your answer in point slope form.
Changes in the dimensions of the shape do not effect the area of the shape. True or False
Answer:
I’m doing the assignment and in the reading it says In this lesson, you’ll be exploring how changes in the dimensions of a figure affect its area. so I say. False
hope this helps
Step-by-step explanation:
The statement is false because the area could be changed if the dimensions are changed.
How to find the area of a region?Supposing that there is no direct formula available for deriving the area,
we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The statement is given that 'Changes in the dimensions of the shape do not affect the area of the shape'.
The statement is false because the area could be changed if the dimensions are changed.
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Original price of a truck: $17,100.00
Tax: 2%
Answer:
$17,442 is the total cost after tax if that is what you're asking for.
Step-by-step explanation:
cost x 1.02
Answer:
Total cost: $17,442
Just tax: $342
Step-by-step explanation:
which is an example of categorical data?
A - The name of a baseball team
B- The number of players on a baseball team
C- The price of a ticket to a baseball game
D- The number of seats in a baseball stadium
Answer:
B
Step-by-step explanation:
I'm positive its B, if it's not B then then D
hope this helps!
How many solutions does the nonlinear system of equations graphed below
have?
Answer How many solutions does the nonlinear system of equations graphed below have?
Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
Dyami lives x miles from the school. Karla lives 2/3 further than that from the school.
Answer:
Where is the schools coordinates subtract two thirds from whatever the schools coordinates are and you will have your answer for Dyami
Step-by-step explanation:
Answer:
it's true
Step-by-step explanation:
You are not gaving the exact question
Draw a number line and mark all described points on it.
Numbers that are either negative or greater than 5.
Answer:
hi the answer submersible
Find the x- and y-intercepts of the graph of -6 + y = 20. State your answers as
whole numbers or as improper fractions in simplest form,
Answer:
y=26 (no x ) the y int is 26 I believe
Step-by-step explanation:
Please help me with 1 to 5 and please graph all to 1 to 5 in a note book and show me how you get the answers from 1 to 5
The expression sin(43) is equal to: *
tan(47)
sin(47)
COS(47)
cos(43)
Answer:
ok
Step-by-step explanation:
base = 5 ft Height= 3.5 ft what is the area
Answer:
the area is 17.5 ft if the shape is a square/rectangle
the area is 8.75 ft if the shape is a triangle
Step-by-step explanation:
How many 3-digit numbers are there, for witch all digits have the same parity?
Answer:
27
Step-by-step explanation:
David says 333/1,000 is the same as 0.3. Is David correct? Explain.
plz help
Answer:
[tex]\frac{333}{1000}[/tex] ≠ 0.3 because it is 0.333, not 0.3 .
0.3 is defined by [tex]\frac{3}{10}[/tex].
Hope this helps!
Starting at n = 1 , find the first 5 members of this sequence : 1+(n-1)2 a. 2,4,6,8,10 b. 1,3,5,7,9 c. 4, 6, 8, 10, 12 d. 3,5,7,9,11
Graphing & Solving Inequalities
Answer:
x ≥ 1
Step-by-step explanation:
3 + 4x ≥ 7
3 - 3 + 4x ≥ 7 - 3
4x ≥ 4
4x / 4 ≥ 4 / 4
x ≥ 1
The leprechaun needs to walk 512.5 miles to get the pot of gold. If he plans
to walk 12.5 miles per day, how many days will it take him to reach the gold?
Answer:
41 days
Step-by-step explanation:
512.5 ÷ 12.5 = 41 days
Factor the polynomial: –3x^4 – 9x^3 + 15x^2
Answer:-3x^2(9x^5-5)
Step-by-step explanation:
Step-by-step explanation:
-3x2(x2)-9x3+25x2
-3x2(x2+3x-5)
What is 3 divided by 4?
Answer:
3/4 is 75/100 or 0.75
Step-by-step explanation:
N
Each wheel on the train has a diameter of 1.8 m.
Work out the number of complete turns each wheel makes in travelling the 6.5 km..
Answer: 1150 turns
Step-by-step explanation: radius of wheel is 0,9 m
In one turn wheel moves 2·pi·0,9 m = 5,652 m
You divide 6500 m : 6,652 m = 1150
The number of complete turns each wheel makes in travelling the 6.5 km is 1150 turns
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
We know that circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
WE have been given the radius of wheel is 0.9 m
In one turn wheel moves 2πr
= 2 x π x 0.9 m
= 5.652 m
Now we have to divide 6500 m : 6.652 m
= 1150
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