Solution :
x [tex]$(x-\overline x)$[/tex] [tex]$(x-\overline x)^2$[/tex]
45860 -1742.8571 3037551.0204
38860 -8742.8571 76437551.0204
64820 17217.1429 296430008.1633
63480 15877.1429 252083665.3061
36710 -10892.8571 118654336.7347
50410 2807.1429 7880051.0204
33080 -14522.8571 210913379.5918
333220 0.0000 965436542.8571
Sample size, n = 7
Mean = [tex]$\frac{\sum x}{n}=\frac{333220}{7}$[/tex]
= 47602.8571
Variance = [tex]$\frac{(\sum (x- \overline x))^2}{(n-1)}=\frac{965436542.8571}{7-1}$[/tex]
= 160906090
Standard deviation = [tex]$\sqrt{Variance} = \sqrt{160906090}$[/tex]
= 12684.876
a). df = n - 1
= 7 - 1
= 6
Level of significance, α = 0.02
Critical, [tex]$t_c = 3.143$[/tex]
b). Sample mean, [tex]$\overline x = 47602.8571$[/tex]
Sample standard deviation, s = 12684.876
Sample size, n = 7
c). 98% confidence interval = [tex]$\overline x \pm t_c \times \frac{s}{\sqrt n}$[/tex]
[tex]$=47602.8571 \pm 3.143 \times \frac{12684.876}{\sqrt 7}$[/tex]
[tex]$=(32533.96,62671.76)$[/tex]
P
13pls answer and will mark brainliest
Answer:
Step-by-step explanation:
1.) 6
2.) A
3.)5
A bag contains 12 colored marbles. Dan drew a single marble from the bag 25 times, replacing the marble each time. He recorded drawing a red marble 9 times, a yellow marble 6 times, a blue marble 4 times, and a green marble 6 times. Based on these results, what is a reasonable conclusion about the makeup of the marbles in the bag?
Select one:
more red marbles than blue marbles
no white marbles
an equal number of yellow and blue marbles
more green marbles than red marbles
Answer:
more red marbles than blue marbles
no white marbles
hope it is helpful to you
If you can help me with these 4 questions I'll give brainliest :))
Answer:
Mode: 86 ( a number that's repeated the most in the data set)
Range: 47 (Largest number subtracted by the smallest number in the data set)
Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)
Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).
Hope this helps!
HELP WHAT COLOR DO I PICJ!!
Answer:
GREEN
Step-by-step explanation:
because 0.11 per oz is better than 0.12 per oz
A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price
Answer:
250 rupees
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
Shamus owes his parents $162. He pays them 60% of the $45 he earns as a soccer referee each week. How many weeks will it take Shamus to pay back all of the money he owes his parents?
60% of 45 would be 27
He pays his parents $27 each week
Divide 162 and 27
162/27=6
It will take 6 weeks for him to pay back his parents
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
Answer:
multiplication and subtraction
Step-by-step explanation:
4(n-3)
What is the
average rate of change between:
x = 1 and x = 2?
x = 2 and x = 3?
X = 3 and x = 4?
Identify the missing measures
Answer: The value of the question mark should be 28 Since Angles are vertically Opposite
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 ?
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
Answer:
B is the correct answer..
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?
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:
find the area of the figure
Answer:
25 yards squared
Step-by-step explanation:
Answer:
area =27
Step-by-step explanation:
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
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
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
Answer:B
Step-by-step explanation:
just took the test
Find the value of x to the nearest tenth
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 .
Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams
Answer:
Venn diagrams
Explanation:
A Venn diagram is a widely used diagram style that shows the logical relation between sets.
please answer the question! i will give brainliest!!!!!!
Answer:
B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:
Sketch and Write the Equation
Equation=
Ordered Pair = (-3, 5)
Slope=
y-intercept= - 5
Answer:
Y = - 5/3 x - 5
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
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,
The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK
Step-by-step explanation:
supplentary means they add to 180
so you can make the formula 180 = 10x + 80
then solve for x
Answer:
x = 10
Step-by-step explanation:
Supplementary angles add up to equal 180°
Thus, 10x + 80 = 180
Now that we have identified the equation we solve for x
10x + 80 = 180
step 1 subtract 80 from each side
80 - 80 cancels out
180 - 80 = 100
we now have 100 = 10x
step 2 divide each side by 10
100 / 10 = 10
10x / 10 = x
we're left with x = 10
A number is five less than twice another number
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
if a=1 and b=2 what is the value of a²+b²?
Answer:
1^2+2^2=5
Step-by-step explanation:
Answer is 5..
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
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.
Find the total surface area of a sphere radius being 7cm
Answer:
A≈615.75m²
Step-by-step explanation:
Solution
A=4πr2=4·π·72≈615.75216m²
Hope this helped!!!
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
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!
Please help me please
Answer:
5
Step-by-step explanation:
the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}
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
Plz help me well mark brainliest if correct!!.....
Answer:
1st one
Step-by-step explanation:
because it is
Answer:
Option 1
Step-by-step explanation:
In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.
The second one is the first one reversed, so it's ordered from greatest to lowest.
The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.