Listed below are annual data for various years. The data are weights(metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (Ī±) =0.05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Select all TRUE statements for the above hypothesis test from those given below.
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9
Reqiured:
a. What are the null and alternative hypotheses?
b. Construct a scatterplot.
c. The linear correlation coefficient r is: ________
d. The test statistic t is :__________
e. The P-value is :___________
Answers
Answer:
R = - 0.9453
T = - 5.019
Pvalue = 0.212
Step-by-step explanation:
Given the data:
Lemon_Imports_(x)
230
264
359
482
531
Crash_Fatality_Rate_(y):
15.8
15.6
15.5
15.3
14.9
The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.
The test statistic, T :
T = r / √(1 - r²) / (n - 2)
T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)
T = - 0.9453 / 0.1883329
T = - 5.019
The Pvalue using a Pearson Pvalue calculator ;
df = n - 1 = 5 - 2 = 3 ; r = - 0.9453
Pvalue = 0.212
Related Questions
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?
Answers
Is this it I’m not sure
Find the value of x.
Answers
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12
Answers
Answer:
B
Step-by-step explanation:
A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality
C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]
so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct
D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12
For B, there is no property supporting that statement.
Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.
Answers
Answer:
The surface area is 12 square yards.
Step-by-step explanation:
8) Cameron plans to purchase his graduation pictures. The prints cost at least $192 since there are add
ons he may purchase. If he saves $32 per week, write and solve an inequality to determine how many
weeks it will take for Cameron to purchase his graduation pictures.
I
Answers
Answer:
I dont know how to write the answer but i hope my math helped.
Step-by-step explanation:
192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.
Answer:
32x>192
Step-by-step explanation:
I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)
Find the value of x
7-10 plsss
Answers
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
Learn more about Polygons here :
https://brainly.com/question/27331337
#SPJ2
100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Part 2: Writing Equivalent Expressions
3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
a. Use either the commutative property or combine like terms to create an equivalent expression.
b. Use the distributive property to create an equivalent expression.
4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.
Your verbal expression is good. It reflects your chosen equation.
Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answers
Answer:
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.
Your verbal expression is good. It refrects your chosen equation.
Part 2: Writing Equivalent Expressions
Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Now we can subsitute, say 7 for j.
For the first expression, we have:
25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)
= 25(70 + 35 + 18) = 25(123) = 3,075.
For the second expression, we have:
250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.
Thus, we can see that both expressions are equivalent.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Sarah found 3 + 7 = 10 shark teeth.
John found 10 / 2 = 5 shark teeth.
The total money they earned is $5 x 15 = $75.
1) an expression that looks similar would be (could be anything)
4(5j+8+4j)
2) It would become:
four times the sum of five times a number, eight, and four times the same number
3) equivalents would be 4(9j+8)
or:
4(5j)+4(8)+4(4j)
4) say J=1 for simplicity
4(9+8)
=4x17
=68
next one would be:
4x5+4x8+4x4
=20+32+16
=68
ok, this is correct.
5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Step-by-step explanation:
) A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 200 items, 28 are defective. a) Find the 95% confidence interval for the proportion of defectives from this production line b) Interpret the results (the interval) you got
Answers
Step-by-step explanation:
Here are the solutions:
For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.
For a 90% confidence interval of a proportion, use z = 1.645.
The limits of the interval are then:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172
The 90% confidence interval is then (0.0628, 0.1172)
For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933
In this case, the 90% confidence interval is (0.0867, 0.0933)
Thanks,
Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1
Answers
Answer:B
Step-by-step explanation:
just took the test
P
13pls answer and will mark brainliest
Answers
Answer:
Step-by-step explanation:
1.) 6
2.) A
3.)5
find the area of the figure
Answers
Answer:
25 yards squared
Step-by-step explanation:
Answer:
area =27
Step-by-step explanation:
Help pls Show work if needed
Answers
Answer:
8a) false
8b) true
8c) true
8d) false
Determine whether the distribution below represents a probability distribution.
x
P(x)
3
-.3
6
.5
9
.1
12
.3
15
.4
Answers
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism
Answers
Answer:
answer: its c 108
Step-by-step explanation:
for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...
24 + 32 + 40 + 12 = 108 Hope this makes sense to you!
28. Scott is participating in a monthly push-up challenge. Each day he is expected to increase the number of push-ups he completes by the same amount.
1 2 3 4
On day 1, Scott completed 3 push-ups. On day 2, Scott completed 5 push-ups. On day 3, Scott completed 7
push-ups. On day 4, Scott completed 9 push-ups.
If Scott continues this pattern, how many push-ups will he be able to
Answers
Answer:
On day 5, he should be able to do 11
Step-by-step explanation:
Day 1 - 3
Day 2 - 5 (2 more than day before)
Day 3 - 7 (2 more than day before)
Day 4 - 9 (2 more than day before)
Following this pattern of +2, day 5 should be 11.
that's my thought process, so I hope it works
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}
Answers
9514 1404 393
Answer:
C.) (3, 2)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(x +2y) +(x -2y) = (7) +(-1)
2x = 6 . . . . . simplify
x = 3 . . . . . . matches choice C
Which iwo operations are needed to write the expression that represents four times the difference of a number and
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
O division and addition
J
Answers
Answer:
multiplication and subtraction
Step-by-step explanation:
4(n-3)
Please help its urgent will give brainiest and show your work
Answers
Answer:
r = 28 ft
Step-by-step explanation:
In a right triangle we have:
45² + r² = ( 25 + r )²
2025 + r² = 625 + 50r + r²
1400 = 50r
r = 28 ft
lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities
Answers
Answer: 19/28
Step-by-step explanation:
9/28 participate, so that means that ? dont participate.
28/28 = 1 whole
28 - 9 = 19
so 19/28 students do not participate in after school activities.
Which of these data sets is symmetrical?
A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43
B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43
c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43
D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43
Answers
Answer:
B is the correct answer..
WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.
Answers
Answer:
1520/4=380 per month
Step-by-step explanation:
The monthly payments for Anita and Casey are 230 and 150.
What is equation?"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."
Assume
Monthly payments for Anita = x
Monthly payments for Casey = y
We have
Anita pays 80 more than Casey does each month.
We can write the equation
x = y + 80
x - y = 80 ...........................(1)
Over the course of 4 months, their combined bill is 1,520.
We can write the equation
4x + 4y = 1520...................(2)
Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)
⇒4x + 4y = 1520
⇒4(y + 80) + 4y = 1520
⇒4y + 320 + 4y = 1520
⇒8y = 1520-320
⇒8y = 1200
⇒y = [tex]\frac{1200}{8}[/tex]
⇒y = 150
Substitute y = 150 in equation (1)
⇒x - y = 80
⇒x - 150 = 80
⇒x = 80+150
⇒x = 230
Hence, the monthly payments for Anita and Casey are 230 and 150.
Learn more about equation here
https://brainly.in/question/19089782
#SPJ2
Which equation is not equivalent
Answers
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
which is it? please help me and i will give brainliest
Answers
Answer: A, 1/2
Step-by-step explanation:
he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs
Answer:
it is 1/2 i.e. the first option
this is simple ratio method;
white : brown
2 : 1
1 : x
x = 1/2 cups
Hope this helps!
I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)
pls help!!!! 15 points !!!
Answers
Answer:
56 cm
Step-by-step explanation:
A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32
Answers
A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answers
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a
Answers
Answer:
Step-by-step explanation:
http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf
You can find it in this site
Find the value of x to the nearest tenth
Answers
Answer:
Step-by-step explanation:
To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.
Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .
please answer the question! i will give brainliest!!!!!!
Answers
Answer:
B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:
A number is five less than twice another number
Answers
Answer:
n= 2x-5
Step-by-step explanation:
The Expression for the statement is x= 2y -5.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
A number is five less than twice another number.
let the number be x and the another be y.
So, the mathematical Expression is
five less than twice another number.
= 2y -5
So, the expression is
x= 2y -5.
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ2