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In two years, there are roughly 104 weeks. Bimonthly can therefore refer to either every two months or twice a month, even though biweekly is generally understood to indicate every two weeks.

In this dictionary, the adjective biweekly is defined as both "occurring every two weeks" and "occurring twice a week." The word biweekly is defined similarly as "occurring every two months" AND "happening two times a month." The difference between bimonthly and semimonthly is that bimonthly denotes every two months whereas semimonthly denotes once every two months. Similar to biweekly, the term "bimonthly" refers to events occurring every two months. On the other hand, because semi signifies half, semimonthly is twice a month. Two times per month, often on the 15th and last day of the month, a semimonthly payroll is paid.

2 year = 104 weeks

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Answer:

40%

Step-by-step explanation:

20/50 = 40/100 = 40%

There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Answer:

Step-by-step explanation:

x+y≤11

y≤11-x

taking only equal signs

y=11-x

5x+10y≥80

divide by 5

x+2y≥16

taking equal signs

x+2y=16

x+2(11-x)=16

x+22-2x=16

-x=16-22=-6

x=6

y=11-x=11-6=5

nickels=6

dimes=5

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Volume of the cylinder = πr²h

see explanation below

A cylinder comprises of two circles and a curved part.

To get the volume, we would multiply the area of the circle with the height of the cylinder

The height of the cylinder is the distance between the two circular ends

Area of a cirlce is pi multiplied by radius squared

Area of circle = π×r² = πr²

where r = radius

h = height of the cylinder

Volume of the cylinder becomes = πr² × h

Volume of the cylinder = πr²h

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

Answer:

B

Step-by-step explanation:

When you get a Debit card, you also get a PIN and everytime you make a purchase, you have to use that PIN. C is wrong because Debit is an electronic form of payment and transactions can be viewed online. A is wrong because there aren't always fees. D is wrong because unless you call the bank provider, you will be held liable for every purchase you make.

The zeros of the polynomial P(x) = x³ + 7x² - x - 7  is  1 , - 1 , - 7 .

In algebraic expressions, exponents may have rational values. A polynomial, on the other hand, is an algebraic assertion with a whole number exponent on any variable. The places where a polynomial turns 0 are referred to as its zeros.

P(x) = x³ + 7x² - x - 7

Now we have to find one zero of given polynomial.

By hit and trial, we get

P(-7) = (-7)³ + 7 (-7)² - (-7) - 7

        = 0

Hence we get one zero = -7

So, -7 is the roots of the equation.

Now, by factorisation :

   P(x) = x³ + 7x² - x - 7

           = x² ( x+7 ) - 1 ( x+3 )

            = (x² - 1) ( x+7 )

            = ( x-1 )( x+1 )( x+7)

Hence the zeros of the polynomial is 1 , - 1 , - 7.

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All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

P(x) = x3 + 7x2 − x − 7

Answer:

35

Step-by-step explanation:

General point slope equation:

points are: (5, 35) and (-6, -31)

The equation is now:

Using the first point:

? replaced by 35

The value of DF = 20.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)=  (FS/ YR)

ar ΔSDF² / ar  ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x,  RT= 9x

SD= 8

4x = 8

x = 2

So,

RT=  9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)=  (FS/ YR)

DF / 45= 16/ 36

DF=20

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The value of the expression 2⁴/2⁷ = 1/8.

A student is asked to evaluate the expression 2⁴/2⁷.

And the student wrote the answer for this expression as 8.

The student made the mistake of subtracting 7 from 4.

4 - 7 = -3, but the student might have done 7 - 4 = 3 and arrived at the answer as 2³ = 8.

Let us evaluate the given expression.

2⁴/2⁷

Apply exponent rule aⁿ/aˣ = aⁿ⁻ˣ

2⁴/2⁷ = 2⁴ ⁻ ⁷

⇒ 2⁴/2⁷ = 2⁻³ (subtract the numbers: 4 - 7 = -3)

⇒ 2⁴/2⁷ = 1/2³ (apply the exponent rule: a⁻ⁿ = 1/aⁿ)

⇒ 2⁴/2⁷ = 1/8 (2³ = 2 × 2 × 2 = 8)

⇒ 2⁴/2⁷ = 1/8

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The equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

From the question, we are to determine which equation represent the quadratic function

From the given graph,

The roots (zeros) of the function are

x = 3 and x = 6

Now, we will determine the equation of the function from its roots

x = 3 and x = 6

Then, we can write that

x -3 = 0 OR x - 6 = 0

Thus,

(x -3)(x -6) =0

Expanding

x² -6x -3x +18 =

x² -9x+18 = 0

∴ y = x² -9x+18

Hence, the equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

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The mean/standard error of the sampling distribution of the proportion is 0.0111.

The root-mean square deviation, commonly known as the standard deviation and represented by the symbol, is the square root of the mean of the squares of all the values of a series calculated from the arithmetic mean.

How dispersed the data is is indicated by the standard deviation. It expresses the deviation of each observed value from the mean.

Any distribution will have roughly 95% of its values within two standard deviations of the mean. The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

When the standard deviation is low, the data cluster around the mean; when it is high, the data are more spread.

The formula to calculate the standard error of the sampling distribution of the sample proportion is:

\($ SE(p) =\sqrt{\frac{p(1-p)}{n} }\)

It is given that a bank believes that 8% of the people who receive loans will not make payments on time. That is,

Population proportion, p =0.08

Sample size, n= 800

Using the formula defined :

\($ SE(p) =\sqrt{\frac{0.08(1-0.08)}{600} }\)

\($ SE(p) =\sqrt{0.000123}\)

SE(p) = 0.0111

Thus,  the mean/standard error of the sampling distribution of the proportion is 0.0111.

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Answer:

10,000.33 GH¢

Step-by-step explanation:

Let's say p = original price and d is discount

so discounted price = p*(1-d%)

From the given data,

7600 = p * (1-0.25)

p = 7600/0.75

p = 10,000.33

4.684684684... can be expressed as a rational number 4684/999, where 4684 (p) and 999 (q) have no common factors.

To express 4.684684684... as a rational number in the form p/q, where p and q have no common factors and 4.684684684... can be expressed as a rational number 4684/999, where 4684 (p) and 999 (q) have no common factors. follow these steps:
Subtract the integer part (4) from the number.
4.684684684... - 4 = 0.684684684...
Let x represent the decimal part.
x = 0.684684684...
Note the repeating pattern (684) and multiply x by 1000 to shift the pattern to the left.
1000x = 684.684684...
Subtract the original x equation from the new equation to eliminate the repeating decimals.
1000x - x = 684.684684... - 0.684684684...
999x = 684
Solve for x by dividing both sides by 999.
x = 684/999
Since there are no common factors between 684 and 999, this is the simplified rational number. Now add back the integer part (4) to get the final answer.
4 + 684/999 = 4684/999
So, 4.684684684... can be expressed as a rational number 4684/999, where 4684 (p) and 999 (q) have no common factors.

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Answer:

Option 1

Step-by-step explanation:

Find 2 numbers that multiply to give 16 and sum to give +8 :

These numbers are 4 and 4

Now split +8x into +4x and +4x and factor each part :

x²+4x+4x+16 = 0

x(x+4)+4(x+4) = 0

Keep 1 bracket and the terms outside the brackets make their own :

(x+4)(x+4) = 0

(x+4)²  = 0

Therefore answer will be Option 1

Hope this helped and have a good day

The additive inverse of a number is just the opposite value of the given number. For example; 2 and the additive inverse is -2.

If we apply this to the number we are given, 24 3/10 we get -24 3/10

Best of Luck!

Domain - {0, 1, 2, 3}

Range - {2, 5, 8, 11}

The domain is x and the range is y

Hope that helped:)

The value of (a - b) ∪ c is set {1, 2, 3, 5, 7, 8} and the value of a ∩ b ∩ c is set {7}.

To find (a - b) ∪ c, we first need to determine the difference between sets a and b (a - b).

In this case, a = {1, 3, 5, 7, 9} and b = {6, 7, 8, 9}. The difference is the set of elements that are in a but not in b, which gives us {1, 3, 5}.
Next, we find the union between this result and set c.

Set c is given as {2, 3, 5, 7, 8}. The union is the set of elements that are present in either (a - b) or c or both.

In this case, the union is {1, 2, 3, 5, 7, 8}.

So, (a - b) ∪ c = {1, 2, 3, 5, 7, 8}.
To find a ∩ b ∩ c, we need to find the intersection of all three sets, which means identifying the elements that are present in all three sets. In this case, a = {1, 3, 5, 7, 9}, b = {6, 7, 8, 9}, and c = {2, 3, 5, 7, 8}.
Comparing the elements, we can see that the only element present in all three sets is 7.

Therefore, a ∩ b ∩ c = {7}.

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The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.

The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.

Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.

To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.

In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.

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Step-by-step explanation:

the answer is in the image above

The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30​ is.
| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.

Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:

Step 1: Write the partially filled magic square:

Step 2: Calculate the sum of the known numbers:

Step 3: Calculate the sum of the missing numbers:

Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.

We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.

We can check that all rows, columns, and diagonals add up to 30:

| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

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Since the volume of the sphere V = 36π cm³is greater than that of the cone, V' = 21π cm³ the ice cream will overflow.

The volume of a sphere is given by V = 4πr³/3 where r = radius of sphere

Now if the ice cream above is going to melt when it does, will it fit in the cone or will it overflow? Since the ice cream is a sphere, the ice cream will not overflow if the volume of the ice cream equals the volume of the cone. If is greater than the volume of the cone, it will overflow.

Now, since the ice cream is a sphere, its volume is given by V = 4πr³/3 where r = radius of sphere = 3 cm

So, substituting this into the equation, we have that

V = 4πr³/3

V = 4π(3 cm)³/3

V = 4π × 27 cm³/3  

= 4π × 9 cm³

= 36π cm³

Also, since the volume of the cone is given by V' = 1/3πr²h where r = radius of cone = 3 cm and h = height of cone = 7 cm

So, substituting the value of the variables into the equation, we have that

V' = 1/3πr²h

V' = 1/3π(3 cm)² × 7 cm

= 1/3π × 9 cm² × 7 cm

= 3π cm² × 7 cm

= 21π cm³

We see that V = 36π cm³ > V' = 21π cm³

Since the volume of the sphere is greater than that of the cone, the ice cream will overflow.

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the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.

To find the total consumption of oil in the United States from January 1, 1980 to January 1, 1990, we need to integrate the given function\(C(t) = 27.08e^t\)with respect to time t, over the interval [0, 10], where t is measured in years.

The integral of the function is:
∫\((27.08e^t) dt\)

To solve this integral, we use the fact that the integral of\(e^t\) is \(e^t\)itself. Thus, we get:
27.08∫\(e^t dt = 27.08e^t\)
Now, we need to evaluate the definite integral over the interval [0, 10]:
\(27.08e^t\)| from 0 to 10 =\(27.08(e^{10} - e^0)\)

As e^0 = 1, the expression simplifies to:
\(27.08(e^{10} - 1)\)
Now, we can calculate the value of the expression:
\(27.08(e^{10} - 1) =27.08(22026.47 - 1) = 27.08 * 22025.47 =596533.7\)
Thus, the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.

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Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer: To solve for x in the equation (x+3)^2=12, we can use the following steps:

Take the square root of both sides of the equation to eliminate the square on the left-hand side:

√((x+3)^2) = √12

Simplify the left-hand side using the property that the square root of a square is equal to the absolute value of the number inside the square root:

|x+3| = √12

Solve for x by isolating the absolute value expression and finding the two possible values:

x+3 = ±√12

x = -3 ± √12

Therefore, the solutions to the equation are x = -3 + √12 and x = -3 - √12.

Step-by-step explanation:

Answer:

3.5$

hope this help you:))

Answer:

Step-by-step explanation: bép lép sép tao tât sgayx dép ok

Answer:

See below

Step-by-step explanation:

Geometric sequences have a common ratio while arithmetic sequences have a common difference.

On the left table, we can see that it's an arithmetic sequence because 3+2=5, 5+2=7, and so on.

On the right table, we can see that it's a geometric sequence because 3*2=6, 6*2=12, and so on.

Basically, if you see a multiplication pattern for the output, it's a geometric sequence. If you see an addition (or subtraction) pattern for the output, it's an arithmetic sequence