Answer:
2
Step-by-step explanation:
The Y intercept is 2, the line clearly goes through point 2 on the y axis.
A magazine includes a report on the energy costs per year for32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.42 . Assume the sample is taken from a normally distributed population. Construct 98 % confidence intervals for (a) the population variance sigma squared and (b) the population standard deviation sigma .
Interpret the results. (a) The confidence interval for the population variance is (___,___ ). (Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98 % confidence, you can say that the population variance is less than ___.
B. With 2 % confidence, you can say that the population variance is between nothing and ___ .
C. With 98 % confidence, you can say that the population variance is between ___ and ___ .
D. With 2 % confidence, you can say that the population variance is greater than ___
(b) The confidence interval for the population standard deviation is (n___,___). (Round to two decimal places asneeded.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98% confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2% confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
Answer:
a
The confidence interval for the population variance is \( 5.49 < \sigma^2 < 37.02 \)
The correct option is C
b
The confidence interval for the population standard deviation is \( 2.34 < \sigma < 6.08 \)
The correct option is A
Step-by-step explanation:
From the question we are told that
The sample size is n = 14
The standard deviation is \(s = \$3.42\)
Generally the degree of freedom is mathematically represented as
\(df = 14 -1\)
=> \(df = 13 \)
Given that the confidence level is 98% then that level of significance is
\(\alpha = (100 -98) \%\)
=> \(\alpha = 0.02\)
Generally the 98% confidence interval for the variance is mathematically represented as
\(\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}} < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}\)
=> \(\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}} < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}\)
From the chi -distribution table
\(x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107\)
and
\(x^2 _{[\frac{0.02 }{2} , 13]} = 27.689\)
So
=> \(\frac{(14- 1) (3.42)^2}{27.689} < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}\)
=> \( 5.49 < \sigma^2 < 37.02 \)
Generally the 98% confidence interval for the standard deviation is mathematically represented as
\(\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}} < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}\)
=> \(\sqrt{5.49} < \sigma < \sqrt{37.02 }\)
=> \( 2.34 < \sigma < 6.08 \)
A child’s pool is in the shape of a rectangular prism with a height of 2 ft and a base that is 4 ft wide by 5 ft long. During the course of the summer, the child’s pool needed to be filled 3 times. How many cubic feet of water were needed to fill the pool during the summer? Responses 40 ft³ 40 ft³ 80 ft³ 80 ft³ 120 ft³ 120 ft³ 160 ft³ 160 ft³
The requried, 120 ft³ of water was needed to fill the pool during the summer.
The volume of the child's pool is given by multiplying its length, width, and height.
The volume of the pool = Length x Width x Height
= 5 ft x 4 ft x 2 ft
= 40 cubic feet
Since the pool was filled 3 times during the summer, the total amount of water needed is:
The total volume of water = Volume of pool x Number of times filled
= 40 ft³ x 3
= 120 ft³
Therefore, 120 ft³ of water was needed to fill the pool during the summer.
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A cargo plane flew to the maintenance facility and back. It took
one hour less time to get there than it did to get back. The
average speed on the trip there was 220 mph. The average speed
on the way back was 200 mph. How many hours did the trip
there take?
The trip took
hours.
Answer:
21 hrs
Step-by-step explanation:
Speed w/out wind
d/220 + 1 = d/210
1 = d/210 - d/220
1/d = 1/210 - 1/220
d = 4620 m
4620 m / 220 m/hr = 21 hrs to get there
Solve: 4 (x + 2.5) = 48
Answer:x=19/2
Step-by-step explanation:
4(x+2.5)=48
Step 1: Simplify both sides of the equation.
4(x+2.5)=48
(4)(x)+(4)(2.5)=48(Distribute)
4x+10=48
Step 2: Subtract 10 from both sides.
4x+10−10=48−10
4x=38
Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2
Answer:
4(x + 2.5) = 48.
4x + 4 x 2.5 = 48.
4x + 10 = 48.
4x + 10 -10 = 48 -10
4x = 38
Divide both sides by 4.
X = 9.5.
X = 10 if approximated.
Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.
40,000
36,000
9,000
7200
3,600
30,000
16,200
300
3,000
Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows
Credit sales at branch
Office expenses by Head office
Cash remittance to branch for petty cash Stock 31.12.2018
Goods sent to Branch
Salaries paid by head office
Debtors 31.12.2018
Petty cash on 31.12.2018
Cash sales at branch
of
The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:
Branch of Santosh & Co. Chennai
Income StatementFor the year ended December 31, 2018
Sales revenue $40,300
Cost of goods sold 4,200
Gross profit $36,100
Expenses:
Office expenses $36,000
Salaries 3,600
Total expenses $39,600
Loss $3,500
What is an income statement?An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.
The profit or loss is the difference between the total revenue and the total expenses for the accounting period.
Credit sales at branch 40,000
Office expenses by Head office 36,000
Cash remittance to branch for petty cash 9,000
Goods sent to Branch 7,200
Salaries paid by head office 3,600
Debtors 31.12.2018 30,000
Petty cash on 31.12.2018 16,200
Cash sales at branch 300
Stock of 31.12.2018 3,000
Sales revenue $40,300 ($40,000 + $300)
Cost of goods sold $4,200 ($7,200 - $3,000)
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shriya measured four nails using a ruler. then she showed the lenghts on a line plot which line plot correctly shows the lenghts of the nails.
pls help its due tommorow!!
Find the maximum and minimum values of the function for this region.
For a discontinuous function ,maximun value is found by replacing every region for the values x ,y
So then for x≤2. and y≤1 and f(x,y) = x +y
theres a maximum value but no minimum ( because is minus infinite). The maximum value for this area is
x+y = 2+1= 3
Now for area y ≥-2x -3
rearrange the equation as y+2x ≥ -3
is the equation of a plane , the plane or area that goes over the straight line y= -2x-3.
So now replace y = -2x-3 in the function f(x,y) = x+y
then f(x,y)= x -2x-3 = -x-3
Now the third region is y≥ 2x -3
this is the area over a line with slope positive equal to 2
now replacing again for this area we find
f(x,y) = x+y = 2x-3 +x = 3x -3
because x≤2. So then replace x by 2 in f(x,y) to find the maximum value
f(x,y) in 2nd region is f(x,y) = -x-3= -2-3= -5
f(x,y) in 3rd region is f(x,y) = 3x -3= 3•2 -3= 3
Finally in conclusion, the máximum value is 3 , the minimum value is -5
Some the quadratic equation by completing the square.X^2-4x-10=0First choose the appropriate form and fill in the blanks with the correct numbers. Then solve the equation. If there’s more than one solution separate them with commas.
Given:
\(x^2-4x-10=0\)To find the roots by completing the square methods:
The given equation can be written as,
\(x^2-4x=10\)Add 4 on both sides, we get
\(\begin{gathered} x^2-4x+4=10+4 \\ x^2-4x+2^2=14 \\ (x-2)^2=14 \\ x-2=\pm\sqrt[]{14} \\ x=\pm\sqrt[]{14}+2 \end{gathered}\)Hence, the form is,
\((x-2)^2=14\)And the solution is,
\(x=\sqrt[]{14}+2,-\sqrt[]{14}+2\)Could you explain how you got the answer
Answer:
1) 3
2) 5/4
3) 5/9
Step-by-step explanation:
1) Change the sign to multiplication and change 1/4 into it's reciprocal which is 4/1. Multiply 3/4 · 4/1 to get 12/4.
Simplifies to 3
2) Change the sign to multiplication and find the reciprocal of 1/2 which is 2/1. Multiply 5/8 · 2/1 to get 10/8
Simplifies to 5/4
3) First, change the sign to multiplication then find the reciprocal of 3/4 which is 4/3. Multiply 5/12 · 4/3 to get 20/36.
Simplifies to 5/9
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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Instruction's
The cash account for Brentwood Bike Co. at May 1 Indicated a balance of $34,250. During May, the total cash deposited was $140,300, and checks written totaled $138,880. The bank statement indicated a balance
of $43,525 on May 31. Comparing the bank statement, the canceled checks, and the accompanying memas with the records revealed the following reconciling items:
a. Checks outstanding totaled $6,440.
b. A deposit of $1,850 representing receipts of May 31 had been made too late to appear on the bank statement.
c. The bank had collected for Brentwood Bike Co. $5,250 on a note left for collection. The face of the note was $5,000.
d. A check for $390 returned with the statement had been incorrectly charged by the bank as $930.
e. A check for $210 returned with the statement had been recorded by Brentwood Bike Co. as $120. The check was for the payment of an
obligation to Adkins Co. on account.
1. Bank service charges for May amounted to $30.
g. A check for $1,325 from Jennings Co. was returned by the bank due to insufficient funds.
Required:
1. Prepare a bank reconciliation as of May 31. Be sure to complete the statement heading. Refer to the Labels and Amount Descriptions for the
exact wording of text entries. "Deduct:" or "Add" will automatically appear if it is required. Whenever there is more than one adjusting item in the
bank portion of the reconciliation or the general ledger portion of the bank reconciliation, enter in the order presented in the instructions. Enter
all amounts as positive numbers.
2. Journalize the necessary entries. The accounts have not been closed. Refer to the chart of accounts for the exact wording of the account titles.
CNOW journals do not use Wines for journal explanati Every line on a journal page is used for debit or credit entries. CNOW journals will
automatically indent a credit entry when a credit amount is entered.
3. If a balance sheet is prepared for Brentwood Bike Co. on May 31, what amount should be reported as cash?
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Bank Reconciliation Statement:
Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.
Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:
Cash account balance on May 1 $34,250Add: Deposits during May 140,300Less: Checks are written during May (138,880)Cash Account Balance as of May 31 $35,6701. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.
Balance as per cash account $35,670
Add:
Outstanding checks $6,440 Note collected by the bank with interest 5,250 Check returned 390 Check returned 120 12,200Less:
Deposit in transit 1,850 Check incorrectly charged by the bank 930 Correction of check to Adkins Co. 210 Bank service charges for May 30 Check from Jennings Co. returned 1325 (4,345)Balance as per Bank Statement $43,5252. Journal Entries to be recorded:
May 31 Cash $5,250 Interest Revenue $250Notes Receivable $5,000(Collection of note with interest by the bank) May 31 Accounts Payable $90 Cash $90(Rectification of payement to Adkins Co.) May 31 Bank Charges $30 Cash $30(Bank service charges for May) May 31 Accounts Receivable $1,325 Cash $1,325(Check from Jennings Co. returned)3. Computation of cash account balance should be reported in the balance sheet on May 31:
Cash Account Balance as of May 31 $35,670Add: Note collected by the bank with interest $5,250 5,250Less: Accounts Payable 90 Bank Charges 30 Accounts Receivable 1,325 (1,445)Cash account balance to be reported in balance sheet $39,475Learn more about Bank Reconciliation Statement at:
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What does f equal in f/3 + 22 = 17
Answer:
f = -15
Step-by-step explanation:
Use algebra to solve!
f/3 + 22 = 17
f/3 = 17 - 22 (bring 22 to the other side, this changes the sign from plus to minus)
f/3 = -5 {because 17-22 = (-5)}
f = (-5) (3) {to eliminate 3 from the denominator of f, you do the opposite of division which is multiplication, so -5 times 3}
therefore, f = -5
You can also check this answer by putting it back into the original equation, -15/3 is -5 and then -5 + 22 = 17.
How do you know that there exists a real number x>0 such that x^2 = 3?
no answer needed, just take the points.
Answer:0x0
Step-by-step explanation: there will have to be a number as its infinite numbers apparently
Answer:
Thought I would show you that my question you commented on was incomplete like I said, thanks for the points though.
Step-by-step explanation:
How many unique triangles can be drawn side lengths of 2 inches and 4 inches. With an angle of 40degrees between given sides
Answer:
hope it help mark me as a brill
Step-by-step explanation:
Hello it would be 3 squares
The answer is 1
Please help me fast!!! Kevin made chili for a football party. He started making the chili at 1:00 P.M. It took 45 minutes to prepare and assemble the ingredients. Then, the chili had to simmer for 45 minutes. What time was the chili ready?
Include A.M. or P.M. in your answer.
Answer:
It was ready at 2:30 pm :)
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. A man is selected by a marketing company to participate in a paid focus group. The company says that the man was selected because his name is among the first 200 in the phone number listings. Which type of sampling did the marketing company use?
A. Systematic sampling
B. Cluster sampling
C. Random sampling
D. Stratified sampling
E. Convenience sampling
Answer: convenience sampling
Step-by-step explanation:
Convenience sampling is also referred to as opportunity sampling or accidental sampling and it occurs when a sample is selected from the population that is convenient and close to hand for the researcher. It's usually used during pilot testing.
Convenience sampling is such that the primary data source that are first available will be used for the research without any additional requirements being made.
solve pls branliest!
Answer:
19 + g = 59
Hope this helps!
btw good luck with ALEKS!!
Which sentence includes a descriptive adjective in a prepositional phrase?
A) The high-stepping band played with a lively beat.
B) The brass horns sparkled in the sun.
C) Baton-twirlers tossed their tasseled sticks high.
D) They wore tall hats trimmed with braid.
Answer:
The option c is the descriptive adjective in a prepositional phrases.
If an object is dropped from a height of 85 feet, the function h(t) = -16t2 +85 gives the height
of the object after t seconds. Approximately, when will the object hit the ground?
Answer:
Step-by-step explanation: h(t)=-16t2+85
Let h(t)=0 to find when the object will hit the ground
0=-16t2+85
Solve for t=?
We need to get t term on its own
Take 85 from both sides
0-85=-16t2+85-85
-85=-16t2
To get t term on its own
Divide both sides by -16
-85/-16=-16t2/-16
5.3=t2
We have to solve for t squared that means we must take the square root of both sides
the square root of 5.3=gives + or - 2.3 seconds we can't have negative time so discard -2.3 seconds
Explain how you would estimate the value of 57−−√ by determining the two consecutive whole numbers that it lies between. Write the two numbers and explain the process you used to select them.
The two consecutive whole numbers that it lies between are 28 and 29.
What are the consecutive numbers?The consecutive numbers are those number which follow each other continuously in the order from smallest to largest numbers.
Let the two consecutive numbers be x and x + 1
x + x + 1 = 57
Combine like terms;
2x + 1 = 57
Now Subtract 1 from both sides;
2x = 57- 1
2x = 56
Divide both sides by 2
x = 56/2
x = 28
Thus, x + 1 = 28 + 1 = 29
The two consecutive whole numbers that it lies between are 28 and 29.
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Can someone help me with this problem please. ( I need it as fast as possible).
Answer:
D-B-A-C
Step-by-step explanation:
Find the product of 4 7/12 - 5
Answer:
the answer is
Step-by-step explanation:
the answer
What are prime number
A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.
In other words, prime numbers are the numbers
divisible by 1 and the number itself.
For example, let us take 2.
2 has only two factors and those are 1 and 2 so it's prime.
Similarly, 7 is also a prime number because it has only two factors
and these are 1 and the number itself which is 7.
Answer:
A number that is only divisible by itself and 1
Step-by-step explanation:
Linear function k has a zero at 3 and a y-intercept of 9 . Which graph best represents k ?
In the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.
In the given question, linear function k has a zero at 3 and a y-intercept of 9.
We have to choose which graph best represents k.
As we know that;
A linear equation represent the relationship between the two unknown variable. The equation of linear equation is of one degree.
The simplest linear equation shows the correlation between (x,y), which may then be used to make a table or a graph on the coordinate plane or to assess at a specific x or y value.
We represent linear function in the form of y=mx+c.
where m is the slope of the line, c is the y intercept of the line, x is independent variable and y is the dependent variable.
As we see the y intercept in the graph crosses the y axis.
Here y intercept is 9.
The zeros of the linear function is that where y value is zero.
As in the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.
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i am confused can someone help me
The shape is a depiction of how the diagonals of a rectangle have the same length and bisect each other.
How to prove that rectangle diagonals bisect each other ?In a rectangle, the diagonals are perpendicular bisectors of each other, which means that they intersect each other at their midpoints and divide each other into two equal parts. Moreover, since a rectangle has congruent opposite sides, the two diagonals are also congruent to each other.
We can see this with the diagonals, EG and DF as they bisect each other and intercept at the halfway point of H.
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The question is:
How does the figure prove the following statement:
The diagonals of a rectangle have the same length and bisect each other.
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) 4
Answer:
Step-by-step explanation:
would be nice to have a look at the options.
Here's a few I could come up with
44
32 + 12
8(4) + 3(4)
11(4)
Given y(x) = f(x)g(x). Find the slope of the tangent line to y(x) at x = 7.
Answer:
Step-by-step explanation:
Interesting problem.
At 6<x<8,
f(x) = x-7
at 5<x<8
g(x) = (15-x)/2
=>
y(x)
= f(x)*g(x)
= (x-7)(15-x)/2
= (x^2+22x-105)/2
differentiate y(x) with respect to x,
y'(x) = -x+11
at x = 7,
y'(7) = -(7) + 11 = 4
Which operation is equivalent to dividing by 1/5?
A Dividing by 5
B Dividing by 50
C Multiplying by 5
D Multiplying by 5
Fill in the blanks: for a and b
Answer: b for a sorry that’s all I Could understand
Step-by-step explanation:
help find the missing lengths round to nearest tenth
Answer:
x = 20.8y = 22.3Step-by-step explanation:
Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuseSOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
\(tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84\)
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
\(sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32\)