The Sandhill Boat Company's bank statement forth f November showed a balance per bank of $8.100. The company's Cash account in the general ledger had a bonne of $600 at November 30. Other information is as follows:
(1) Cash receipts for November 30 recorded on the company's books were $6.070 but this amount does not appear on the bank statement.

(2) The bank statement shows a debit memorandum for $50 for check printing charges

(3) Check No. 119 payable to Carla Vista Company was recorded in the cash payments journal and cleared the bank for $258. A review of the accounts payable subsidiary ledger show a $27tredit Balance in the account of Carla Vista Company and that the payment to them should have been for $285.

(4) The total amount of checks still outstanding at November 30 amounted to $6,020

(5) Check No 198 was correctly written and paid by the bank for $406. The cash payment journal reflects an entry for check no.138 as a debit to accounts payable and a credit to cash in bank for $460

(6) The bank returned an NSF check from a customer for $630.

(7) The bank included a credit memorandum for $2.680 which represents a collection of a customer's note by the bank for the company: the principal amount of the note was $2.546 and interest was $134. Interest has not been accrued

It would take the test administrator 48 seconds to allow for the performance of the task

So, if we want 97.5 percent, we must look it up in our z table. So I need to find the z score that is closest to.975, which is 1.96.

The 97.5th percentile point of the standard normal distribution is a quantity often used in probability and statistics for statistical computations. This figure is around 1.96, which means that 95% of the area under a normal curve is within 1.96 standard deviations of the mean.

As a result, the z score for the 97.5th percentile would be multiplied by the class standard deviation. As a result, we obtain;

1.96*6 = 11.76

Then, this new time gotten would be added to the first mean of the class,

As a result, we have 36+11.76 = 47.76 which is approximately 48

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Answer:

Step-by-step explanation:

sure lizzie  

soo  elimination method just means we want to cancel out on of the variable by subtracting of add the entire equations to each other... there is another method but this one is pretty good to learn with.

system 1

2x + 2y = -2

3x - 2y = 12

since there is already an easy way to get rid of the y variable lets just add the two equations together, just add term by term

5x  + 0y = 10

if you notice .. just by making an imaginary column.. of each term.. you can just do that single piece by it self.... 2x + 3x = 5x   and 2y +(-2y) = 0  and -2 + 12 = 10  :)

so now I can rewrite our new equation

5x = 10    I can solve this one with my eyes closed  :D  (10/5 = 2 )

x =2   :P

now , since we know x  .. just plug in the known value of x into the 1st equations...  

2(2) +2y = -2

4 + 2y =-2

2y = -2-4

2y = -6

y = - 3   :) ( I had to keep my eyes open that time b/c there was a minus sign floating about and those are too easy to mess up on .. when you do.. don't worry everyone does )

so we know

x = 2  and y = -3  :)

I'll go a little faster on 2.. and I see 3 is good for you to practice on.. just ask later if you have questions on that one.

system 2

4x - 2y = -1

-4x + 4y = - 2

add them again to get rid of the x term

0x +2y = -3

y = - 3/2

plug in y

4x  - 2(-3/2) = -1

4x +3 = -1

4x = -1 - 3

4x = -4

x = -1  

they are being nice and making them easy to start out.. you try system 3

The pH scale is a measure of the acidity or basicity of a solution. It is defined as the negative logarithm (base 10) of the concentration of hydrogen ions in the solution. Mathematically, pH is expressed as:

pH = -log[H+]

where [H+] represents the concentration of hydrogen ions in moles per litre.

In a similar way, the pOH scale is a measure of the acidity or basicity of a solution, but it is based on the concentration of hydroxide ions instead of hydrogen ions. The pOH is defined as:

pOH = -log[OH-]

where [OH-] represents the concentration of hydroxide ions in moles per litre.

Since pH + pOH = 14 (at 25°C), we can also express the pH in terms of the pOH:

pH = 14 - pOH

Therefore, we can use the equation:

\(\text{ph} = 14 \log_{10}[\ce{oh^-}]\)

to calculate the pH of a solution given its hydroxide ion concentration [OH-]. This equation is derived from the definition of pH and the relationship between pH and pOH.

For example, if the concentration of hydroxide ions in a solution is 1 x 10^-7 moles per litre (which corresponds to a neutral solution), then the pH can be calculated as:

\(\text{ph} = 14 \log_{10}[\ce{1 * 10^{-7}]\)

which indicates a neutral pH.

The given question can also be written as:

\(\text{ph} = 14 \log_{10}[\ce{oh^-}]\)

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Answer:

A

Step-by-step explanation:

I did the same problem yesterday for my math class

Answer:

It is same.

The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.

Thank you and please rate me as brainliest as it will help me to level up

The candle burns down by 1010 inches in 10 hours. To find the rate at which the candle burns, we need to calculate the amount burned per hour, expressed in inches per hour.

The rate at which the candle burns can be determined by dividing the total length burned by the time it takes to burn that length. In this case, the candle burns down by 1010 inches in 10 hours.

Rate of burning = Total length burned / Time taken

Rate of burning = 1010 inches / 10 hours

Rate of burning = 101 inches per hour

Therefore, the candle burns at a rate of 101 inches per hour. However, it's important to note that in reality, candles may burn at varying rates due to factors such as wax composition, wick thickness, and ambient conditions.

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Answer:

three point eighty two

Answer:

B. (–1, –1)

C. (0, 2)

E. (1, –2)

Step-by-step explanation:

plugged in the answers into (x) and (y)

The points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Conic inequality:

8x² – 12x + 4y² + 4y – 20 ≤ 0

After plotting the above inequality on a coordinate plane we will get an ellipse:

From the graph:

The points:

(0, 0), (-1, -1), and (1,-2) inside the conic inequality.

Thus, the points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

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The equivalent equation of the algebraic Equation (4x - 7)² + 16 = 40x - 70 is; p² + 16 - 10p = 0

We want to simplify the algebraic Equation;

(4x - 7)² + 16 = 40x - 70

Factorize right hand side to get;

(4x - 7)² + 16 = 10(4x - 7)

If p = 4x - 7, then we have;

p² + 16 = 10p

Using subtraction property of equality gives;

p² + 16 - 10p = 10p - 10p

p² + 16 - 10p = 0

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In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.

The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.

Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.

In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.

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95% confidence interval for the population mean is 170.2 to 189.8, option d is correct.

We are given the following information:

- Sample size (n) = 225
- Standard deviation (σ) = 75
- Sample mean (x) = 180
- Confidence level = 95%

We need to calculate the 95% confidence interval for the population mean (μ). To do this, we will use the formula:

Confidence interval = x ± (z × σ/√n)

First, we need to find the z-score that corresponds to a 95% confidence level. For a 95% confidence interval, the z-score is 1.96 (you can find this value in a standard z-score table).

Now, we can plug in the values we have:

Confidence interval = 180 ± (1.96 × 75/√225)

Calculate the standard error (σ/√n):

Standard error = 75/√225 = 5

Now, calculate the margin of error (z * standard error):

Margin of error = 1.96 × 5 = 9.8

Finally, calculate the confidence interval:

Confidence interval = 180 ± 9.8 = (170.2, 189.8)

So, the 95% confidence interval for the population mean is 170.2 to 189.8, which corresponds to option d.

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The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

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The probability that a randomly selected score will be less than 89 is 0.9821.

The probability that a randomly selected score will be less than 89 can be found using the z-score formula.
The z-score formula is:
z = (x - μ) / σ
Where x is the score we are interested in, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
Plugging in the values given in the question, we get:
z = (89 - 72.8) / 7.7
z = 16.2 / 7.7
z = 2.10
Now we can use a z-table to find the probability that a randomly selected score will be less than 89.
Looking up a z-score of 2.10 on a z-table, we find that the probability is 0.9821.

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Null hypothesis, \(H_{0}\) P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,\(H_{0}\)  P1\(\neq\)P2 (The proportion of tablets owned by men and women are not equal.)

Sample proportion for men who own tablets  ≈0.433

Sample proportion for women who own tablets ≈0.466

p value of the test  is 0.3320.

Test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women.

Let p, be the proportion of all men who own tablets and p, be the proportion of all women who own tablets.

Null hypothesis, \(H_{0}\) P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,\(H_{0}\)  P1\(\neq\)P2 (The proportion of tablets owned by men and women are not equal.)

The notations for the sample statistic are  p p1 p2

Pooled proportion p = \(\frac{x_{1}+x_{2} }{n_{1}+n_{2} }\)= 197+235/455+504

                                               ≈ 0.45

Sample proportion for men who own tablets,

                               p1 = \(\frac{x_{1} }{n_{1} }\)= 197/455

                                           ≈0.433

Sample proportion for women who own tablets,

                              p2 = \(\frac{x_{2} }{n_{2} }\) = 235/506

                                          ≈0.466

Since p1<p2  women group has higher tablet ownership.

Sample statistic, p1-p2

                          = 0.433-0.466

p value of the test  is 0.3320.

In mathematics, statistics deals with the study of surveys and reports of numerical data. For questions, we need to define a hypothesis. In general, there are two types of hypotheses. One is the null hypothesis and the other is the alternative hypothesis.

In probability and statistics, the null hypothesis is the general statement or default state that  zero  or nothing will happen. For example, there is no association between groups or no association between two measured events. Here, a hypothesis is generally assumed to be true until  other evidence is presented to disprove the hypothesis.

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In order to cover the entire land area of United States with dollar bills, it would cost 9 × 10¹⁴ dollars.

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 mile = 160934 cm

Length of contiguous land = 160934 × 3000 miles = 482,802,000 cm.

Width of contiguous land = 160934 × 1000 miles = 160,934,000 cm.

Mathematically, the area of a rectangle can be calculated by using this formula;

Area of rectangle = length × width

Area of contiguous land = 482,802,000 × 160,934,000

Area of contiguous land = 77,699,257,068,000,000 cm²

Next, we would determine the area of Alaska:

Area of Alaska = 1/5 × 77,699,257,068,000,000

Area of Alaska = 15,539,851,413,600,000 cm²

Total area = Area of Alaska + Area of contiguous land

Total area = 15,539,851,413,600,000 + 77,699,257,068,000,000

Total area = 93,239,108,481,600,000 cm²

Also, the area of a dollar bill is given by:

Area of dollar bill = 6.5 × 15.5

Area of dollar bill = 100.75 cm²

Now, we can determine the cost:

Cost = Total area/Area of dollar bill

Cost = 93,239,108,481,600,000/100.75

Cost = 9 × 10¹⁴ dollars.

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Complete Question:

How much would it cost to cover the entire land area of United States with dollar bills? To answer this question, you may find the following information useful:

The contiguous United States (all of the states minus Alaska and Hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west, while Alaska has about one-fifth the area of the contiguous states and Hawaii is small enough to be ignored for this rough calculation. Also, note that a dollar bill measures around 6.5cm × 15.5cm. Express your answer to one significant figure!

a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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The degree of freedom for t statistic is 11.

According to the given question.

For a repeated-measure study, comparing two treatments with 12 scores in each treatment .

So, we can say that sample size, n = 12.

We know that, when you have a sample and estimate the mean, we have

n – 1 degrees of freedom, where n is the sample size.

Therefore,

The degree of freedom for the given sample test will be

d.f = n -1

⇒ d.f = 12 - 1

⇒ d.f = 11

Hence, the degree of freedom for t statistic is 11.

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Step-by-step explanation:

Please write complete question

Answer:

lol u gotta put the thing first bro

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Answer:25,347

Step-by-step explanation:

The equation of the tangent line at the point (1,2) is given by the equation:

y - 2 = ((1/3 - n') / (n' - 1/(z? + 2)))(x - 1), where n' and z? are constants.

To find the derivative of the function f in the given equations, we will differentiate with respect to the variable x using the appropriate rules of differentiation.

1. For the equation 1.6x^2 + 5(f(x)):

The derivative of 1.6x^2 with respect to x is 3.2x.

To find the derivative of 5(f(x)), we need to use the chain rule. Let's denote f(x) as u.

The derivative of 5u with respect to x is 5 * du/dx.

So, the derivative of the function f in this equation is 3.2x + 5 * du/dx.

2. For the equation 7x^2 = 5f(x)^2 + 4xf(x) + 1:

To find the derivative of f(x), we can use the implicit differentiation method. Let's denote f(x) as u.

Differentiating both sides with respect to x:

14x = 10f(x) * du/dx + 4x * du/dx + 4f(x) + 1 * du/dx.

Simplifying the equation:

14x - 4x * du/dx - 4f(x) = (10f(x) + 1) * du/dx.

Dividing both sides by (10f(x) + 1):

(14x - 4x * du/dx - 4f(x)) / (10f(x) + 1) = du/dx.

So, the derivative of the function f in this equation is (14x - 4x * du/dx - 4f(x)) / (10f(x) + 1).

B. To find the equation of the tangent line at the point (1,2) of the equation In(x + y) = n'y + In(z? + 2) – 4, we need to find the slope of the tangent line at that point. Let's denote y = f(x).

Differentiating both sides of the equation implicitly with respect to x:

(1/(x + y)) * (1 + dy/dx) = n' * dy/dx + (1/(z? + 2)) * dz/dx.

Substituting the values x = 1 and y = 2 into the equation:

(1/(1 + 2)) * (1 + dy/dx) = n' * dy/dx + (1/(z? + 2)) * dz/dx.

Simplifying the equation:

1/3 * (1 + dy/dx) = n' * dy/dx + 1/(z? + 2) * dz/dx.

To find the slope of the tangent line, we need to solve for dy/dx. Rearranging the equation, we have:

dy/dx = (1/3 - n') / (n' - 1/(z? + 2)).

Therefore, the equation of the tangent line at the point (1,2) is given by the equation:

y - 2 = ((1/3 - n') / (n' - 1/(z? + 2)))(x - 1), where n' and z? are constants.

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Answer:

The measure of angle DPA is 39°

Step-by-step explanation:

step 1

Find the value of x  we know that  arc AB+arc BC+arc CD+arc DA=360°

substitute the values

(5x+10)°+(x+1)°+3x°+(3x+25)°=360°

Solve for x

(12x+36)°=360°

12x=360°-36°

x=324°/12=27°

step 2  Find the measure of angle DPA

we know that  The measurement of the external angle is the semi-difference of the arcs which comprises

m∠DPA=(1/2)[arc DA-arc BC]

arc DA=3(27)+25=106°

arc BC=27+1=28°

substitute the values

m∠DPA=(1/2)[106°-28°]=39°

Answer:

BC = 50

Step-by-step explanation:

AB and AD are congruent, thus

AB = AD, that is

5x + 10 = 3x + 18 ( subtract 3x from both sides )

2x + 10 = 18 ( subtract 10 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

BC = 12x + 2 = 12(4) + 2 = 48 + 2 = 50

Answer:

power rules attached

Step-by-step explanation:

(-2x³y²)⁵ = (-2)⁵.(x³)⁵.(y²)⁵

= -32x¹⁵ .y¹⁰

Answer:

\(\boxed{\boxed{\sf \angle x=76^{\circ}}}\)

Step-by-step explanation:

Given the diagram, we can see that ∠DIJ and ∠AIC are supplementary angles because they form a straight line.

∠DIJ and ∠JIC =180°

\(\sf \angle DIJ+ 107=180\)

Subtract 107 from both sides:

\(\sf \angle DIJ+107-107=180-107\)

\(\sf \angle DIJ=73\)

*Interior angles of a triangle always add up to 180*

\(\sf \angle JDI+\angle DIJ+\angle DJI=180^{\circ}\)

\(\sf 31^{\circ}+73^{\circ}+\angle DJI=180^{\circ}\)

\(\sf \angle DIJ=76^{\circ}\)

∠DJI and ∠x are vertical angles, therefore they are congruent.

∠x=76°

________________________________

Answer:

1980

Step-by-step explanation:

13 sides

Number of sides n=13

The sum of interior angles of polygon =(2n−4)×90o

=(2×13−4)×90o

=(26−4)×90o

=22×90o

We get,

=1980

-14

is the first one, remember 1- (-15) is like 1-15 but the you put the - on the14 so you get-14, hope this helped

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

The chances of selecting a pregnant guinea pig involves probability

The probability that all are pregnant is 0.187

Probabilities are used to determine the chances of events

From the question, 4 out of 7 guinea pigs are pregnant.

So, the probability that a selected guinea pig is pregnant is:

\(p = \frac 47\)

The probability that all the selected 3 are pregnant is then calculated as:

\(p = \frac 47 * \frac 47 * \frac 47\)

Evaluate the product

\(p = 0.187\)

Hence, the probability that all are pregnant is 0.187

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Step-by-step explanation:

1 ) 402

402 - 2 = 400 which is a perfect sqrt ( 20)^2

so u must subtract 2

2) 1989

1989 - 53 = 1936 which is a perfect sqrt (44)^2

3) 3250

3250 -1 = 3249 which is a prefect sqrt (57)^2

4) 4000

4000 - 31 = 3969 which is a perfect sqrt (63)^2