Answer:
2.02
Step-by-step explanation:
Below are the times (in days) it takes for a sample of 6 customers from Lashonda's computer store to pay their invoices.18, 44, 22, 13, 20, 27Send data to calculatorFind the standard deviation of this sample of times. Round your answer to two decimal places.ExplanationI need help with this math problem
We need to find the standard deviation of the given sample:
First, we need to find the mean:
Set the values from least to greatest
13, 18, 20, 22, 27, 44
Mean =
\(\frac{13+18+20+22+27+44}{6}=24\)Now, we need to use the standard deviation formula for samples:
\(SD=\sqrt[]{\frac{\sum_^(x-mean)^2}{n-1}}\)where:
x = The value in the data distribution
n = total number
Replacing:
\(SD=\sqrt{\frac{(13-24)^2+(18-24)^2+(20-24)^2+(22-24)^2+(27-24)^2+(44-24)^2}{6-1}}\)Simplify:
\(SD=10.83\)Hence, the standard deviation of the sample is 10.83 (The value is rounded by two decimal places)
Which of the following is the graph of 2x+3y=6
Taking point (0,-2) of graph one and replacing in the equation;
2x+3y=6
2(0)+3(-2)=6
-6=6
So graph isn't the required graph.
Taking point (0,2) of graph 2;
2x+3y=6
2(0)+3(2)=6
6=6
So, graph 2 is the required graph.
Answer:
nice
Step-by-step explanation:
6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
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Which of the following is NOT a unit of volume?
A. square meter
B. pint
C. milliliter
D. cubic meter
Answer:
A
Step-by-step explanation:
The graph of which of the following equations contains the point (-3,0)?
A
x+y=3
B.
-x - y=-3
C. x-y=3
D. x+y=-3
Answer:
you need help kd
Step-by-step explanation:
AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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Using the cross multiplication method, which of the following is the solution to 1/(x+1) = 17/(x+2)?
Answer:
x = -15/16
Step-by-step explanation:
see image.
Cross-multiply and combine like terms. Finally divide to get x all by itself.
see image.
pick out the one which is different from others
You have 2 spreads, 5 meats, and 2 kinds of bread. How many different sandwiches can you make using one of each type of ingredient?
A) 9
B) 12
C) 20
D) 40
Answer:
C)
Step-by-step explanation:
Write an example of a research hypothesis for a two-tailed t-test for the correlation
coefficient.
The example is using a two-tailed test, that which 5% is shared evenly between the two tails, giving you 2.5 percent (0.025) in each tail.
What is a two-tailed test?In statistics, a two-tailed test is a procedure that analyzes whether a sample is more than or less than a specified range of values by using a two-sided critical area of distribution.
A scientific hypothesis must meet two criteria: A scientific hypothesis must be testable, and a scientific hypothesis must be falsifiable
The basic idea of a hypothesis is that there is no predetermined outcome. For a solution to be termed a scientific hypothesis,
Assume you were performing a z test with a 5% alpha level (0.02). The full 5% would be in a single tail in a one-tailed test.
However, using a two-tailed test, that 5% is shared evenly between the two tails, giving you 2.5 percent (0.025) in each tail.
Hence the example is using a two-tailed test, that which 5% is shared evenly between the two tails, giving you 2.5 percent (0.025) in each tail.
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why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
A population of insects can double in 30 days. After
80 days, how many times greater will the population be than
after 30 days?
Answer:
about 2.666 times
Step-by-step explanation:
you know that 80 days have past and it only takes 30 days for the population to double. if you do 80/30 you get 2.666 meaning that the population would of been 2.666 times greater.
The population be than after 30 days about 2.666 times greater.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given; A population of insects can double in 30 days.
After 80 days, We need to find that how many times greater will the population be than after 30 days
We know that 80 days have past and it only takes 30 days for the population to double.
if we do 80/30 = 2.666 meaning that the population would of been 2.666 times greater.
Therefore, The population be than after 30 days about 2.666 times greater.
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Does this curved line represent a function? If not, at what points does it fail the vertical line test?
Answer:
It is a function.
Step-by-step explanation:
If you use the Vertical Line Test, you can see that each x-value has its own y-value.
Answer: This curved line passes the vertical line test. Therefore, the curved line represents a function.
]
You are giving a bag of jelly beans. There are 7 red, 8 blue, 4 elbow, and 10 pink. Find the probability of eating 3 red jelly beans in a row
Read the following prompt and type your response in the space provided.
Describe the relationship between the probability of an event and its complement.
If the probability of an event is 0.95, what is the probability of its complement?
The probability of the complement of the event is 0.05.
The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.
Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.
In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.
This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.
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math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1
4a + 5a + 1
4a - 1
4 - 1
Answer:
I would have to say A
Step-by-step explanation:
B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
In an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. In such a test involving two types of microchips, 620 chips manufactured by an existing process were tested, and 125 of them failed. Then, 820 chips manufactured by a new process were tested, and 130 of them failed. Find a 90% confidence interval for the difference between the proportions of failures for chips manufactured by the two processes. (Round the final answers to four decimal places.) The 90% confidence interval is ( . , ).
Answer:
The 90% confidence interval is \( 0.0097 < p_1 -p_2 < 0.0773 \)
Step-by-step explanation:
From the question we are told that
The first sample size is \(n_1 = 620\)
The number of chips that failed is k = 125
The second sample size is \(n_2 = 820\)
The number of chips that fail is \(u = 130\)
Generally the confidence level is 90% , hence the level of significance is
\(\alpha = (100 - 90)\% \)
=> \(\alpha = 0.10 \)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.645\)
Generally the first sample proportion is
\(\r p _1 = \frac{125}{620}\)
=> \(\r p _1 = 0.202\)
Generally the second sample proportion is
\(\r p _1 = \frac{130}{820}\)
=> \(\r p _1 = 0.1585\)
Generally the standard error is mathematically represented as
\(SE = \sqrt{\frac{\r p_1 (1 - \r p_1)}{n_1} +\frac{\r p_2 (1 - \r p_2)}{n_2} }\)
=> \(SE = \sqrt{\frac{0.202(1 - 0.202)}{620} +\frac{0.1585 (1 - 0.1585)}{820} }\)
=> \(SE = 0.0206\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * SE\)
=> \(E = 1.645 * 0.0206\)
=> \(E =0.0338\)
Generally 95% confidence interval is mathematically represented as
\((\r p_1 -\r p_2) -E < p_1 - p_2 < (\r p_1 -\r p_2) +E \)
=> \((0.202 -0.1585) -0.0338 < p_1 - p_2 < (0.202 -0.1585) +0.0338 \)
=> \( 0.0097 < p_1 - p_2 < 0.0773 \)
Helen Ming receives a travel allowance of $180 each week from her company for time away from home. If this allowance is taxable and she has a 24 percent income tax rate, what amount will she have to pay in taxes for this employee benefit?
Answer:
She has to pay $2246.4 in taxes for this employee benefit.
Step-by-step explanation:
First find the annual travel allowance equal to weekly allowance x 52 weeks = $180 x 52 = $9,360
When you get the annual travel allowance, find the annual tax.
Annual tax =Annual travel allowance × Tax rate
=$9,360 × 0.24
=$2,246.40
which of the binomials below is a factor of this trinomial
x^2-13x+30
The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.
In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:
(x - a)(x - b) = x² - 13x + 30
So, (x - 3)(x - 10) = x² - 13x + 30.
Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
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The average body temperature of all healthy adults is 98.6 F. A doctor takes a random sample of 100 healthy adults and records the temperature of each. The average temperature of these 100 adults is 98.2 F and the standard deviation is 6.9 F. Identify the values of the statistic and the parameter(s).
Answer:
Explained below.
Step-by-step explanation:
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
The parameter of interest is the average body temperature of all healthy adults, μ = 98.6°F.While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The statistic is the average body temperature of 100 randoly selected healthy adults, \(\bar x=98.2^{o}F\).Please Help
Find (f+g)(x)if f(x)=4x2-5x+8 and g(x)=2x2+x-2
Answer: (f+g)(x) = 6x²- 4x + 6
Step-by-step explanation:
We add f(x) and g(x) together, (4x²-5x+8) + (2x²+x-2)
Add like terms together, (4x²+2x²) + (-5x+x) +(8-2)
We are left with (f+g)(x) = 6x²- 4x + 6
U have to work out the value of a by the way
Answer:
Step-by-step explanation:
180-90=2b+b
90=3b
90/3=b
30=b
2b=2*30
=60
180-90=a+a
90=2a
a=90/2
a=45
the answer is 45 degrees
hope it helps!!let me know if it does
Answer:
a= 15°
Step-by-step explanation:
> use the fact that the sum of angles in a triangle is 180°
> based on the picture in the small right triangle we have b° +2b° +90° =180°
b +2b +90 =180° , combine like terms
3b +90 = 180, subtract 90 from both sides of the equation
3b = 90, divide by 3 both sides of the equation
b = 30°
> angle b has a ray that continues as a line so it makes an 180° angle and we have the acute triangle so we can write that
a + a+ (180-b) =180, substitute b
2a + 180-30 =180, subtract 180 from both sides, and add 30 to both sides
2a=30, divide by 2 both sides
a= 15°
help me out guys please !!!!!¡
Answer:
C should be the answer
Answer:
15.4919333848
Step-by-step explanation:
Evaluate the expression when a = 2 and b=4.
6²-2a
Simplify your answer as much as possible.
I
Please help!!!
Answer:
6
Step-by-step explanation:
hope this will help u for your work
i need help my math teacher is bugging me to answer the question for a day assignment
(−1)⋅2⋅3=
Answer:
-6
Step-by-step explanation:
Answer:
Hello! Mizuki here to save you from your math teacher!
The correct answer will be -6
Step-by-step explanation:
-1 x 2 x 3 = -2 x 3 = -6
help please due today
No links
Find the standard form of the equation for the circle with the following properties.
Center (−4,−3/2) and tangent to the x-axis
Answer:
(x + 4)² + (y + 1.5)² = 2,25Step-by-step explanation:
The standard form is:
(x - h)² + (y - k)² = r²We have (h, k) = (-4, -3/2) and the circle is tangent to the x- axis.
The radius will then be a distance from the center to the x-axis, which is the absolute value of the y- coordinate of the center:
r = | - 3/2| = 3/2 = 1.5The equation is:
(x - (-4))² + (y - (-1.5))² = 1.5²(x + 4)² + (y + 1.5)² = 2,25Find the values of x and y if (2x + y, 2) = (1, x - y).
Answer:
We have, 2x+y=3 .......(1)
xy=1....(2)
In equation (2), we get
y=
x
1
..........(3)
y put in the equation (1)
2x+
x
1
=3
2x
2
+1=3x
2x
2
−3x+1=0
2x
2
−3x−1x+1=0
2x(x−1)−1(x−1)=0
x=1, x=
2
1
We take the value of x=1
x value put in equation (1)
2(1)+y=3
y=3−2
y=1
x=1
x and y value put (x+y)
x−y
=(1+1)
(1−1)
=2
0
=1
Hence, this is the answer
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