The following duties need to be carried out: clean the board, arrange
the tables, sweep the floor and clear the waste paper basket. Find the
number of ways of assigning these duties to 4 students, given that each
student will perform only one duty?
​

Answer:

Step-by-step explanation:

(3x + 5y + 12) + (2x - y) +(9x + 2y-2)

= 3x + 5y + 12 + 2x - y + 9x + 2y - 2    {Bring like terms together}

= 3x + 2x + 9x  +5y -y + 2y     + 12 -2

= 14x + 6y +10

a.The interest rate earned when borrowing $650 is approximately 12 percent. b. The interest rate earned when borrowing $650 is approximately 12 percent. c.The interest rate earned when borrowing $74,000 is approximately 6 percent,. d. The interest rate earned when borrowing $18,000  is approximately 8 percent. .

a. The interest rate earned when borrowing $650 and repaying $728 after 1 year is approximately 12 percent. b. The interest rate earned when lending $650 and receiving $728 after 1 year is also approximately 12 percent. c. The interest rate earned when borrowing $74,000 and repaying $127,146 after 8 years is approximately 6 percent. d. The interest rate earned when borrowing $18,000 and making payments of $4,390.00 annually for 5 years is approximately 8 percent.

To calculate the interest rate earned in each scenario, we can use the formula for compound interest. The formula is:

Future Value = Present Value × (1 + Interest Rate)^Number of Periods

Rearranging the formula, we can solve for the interest rate:

Interest Rate = ((Future Value / Present Value)^(1 / Number of Periods) - 1) × 100

By plugging in the given values and solving for the interest rate, we can determine the approximate interest rates earned in each case. The interest rates are rounded to the nearest whole number.

For example, in scenario a, the interest rate earned is calculated as ((728 / 650)^(1/1) - 1) × 100, which results in approximately 12 percent. This means that by borrowing $650 and repaying $728 after 1 year, you would be earning an interest rate of around 12 percent. Similarly, the interest rates for scenarios b, c, and d can be calculated using the same formula to obtain the respective answers.

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If we test this claim at a 0.05 significance level, it means we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

The null hypothesis (H0) is that Shaq has not improved his free-throw shooting, while the alternative hypothesis (Ha) is that he has improved it.

If the p-value obtained from the test is 0.0465, which is less than the significance level of 0.05, we reject the null hypothesis and conclude that Shaq has improved his free-throw shooting.

In other words, there is sufficient evidence at a 0.05 significance level to support the claim that Shaq has improved his free-throw shooting.

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Answer: Nope.

Explanation: In order to combine like-terms, they must all have the same variable. In 3x + 13y + 10, none of them have the same variable, so therefore cannot be combined.

Answer:

A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.

Step-by-step explanation:

i have linked 1 picture of a ratio table example

hope this helped

Answer:

Diatance biked = rate • time

Answer:

The answer is D: x > 0

R: natural numbers > 2

Step-by-step explanation:

I got 100 on the quiz good luck bro

Answer:

these is the answer of

x-y= -2

answer:

x= -2 +y

these is the answer of

2x - 2y = 16

answer:

x=8+y

Answer:

25x^6

Step-by-step explanation:

:)

It is not necessarily true that either [a] = [0] or [b] = [0] when [a],[b] ∈ z6 and [a]·[b] = [0].

This is because in z6, there are other pairs of elements that multiply to [0] besides [0] and any other element. For example, [2]·[3] = [6] = [0] in z6, but neither [2] nor [3] are equal to [0].

However, if [a],[b] ∈ z7 and [a]·[b] = [0], then it is necessarily true that either [a] = [0] or [b] = [0]. This is because z7 is a field, meaning that it has no zero divisors (elements that multiply to [0] besides [0] itself). Therefore, the only way for [a]·[b] = [0] in z7 is if either [a] or [b] are equal to [0].

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Answer:

I think it's either the last or the second one.

Might be wrong but hope this helped!

Statistical question is "How many pens are inside each of my classmates desks?"

Statistics is a branch of mathematics concerned with the study of collecting, analyzing, interpreting, presenting, and organizing data in specific ways. Statistics is defined as the process of collecting data, classifying data, presenting data in a way that makes it easy to interpret, and analyzing data. Statistics is also called drawing conclusions from  sample data collected through surveys and experiments.

Given questions,

How many touchdowns did you score in yesterday's game?

Above question requires just one value, not collection of data, it is not an statistical question.

How many balloons came in the package that you bought?

Above question requires just one value, not collection of data, it is not an statistical question.

How old was George Washington, when he became president?

Above question requires just one value, not collection of data, it is not an statistical question.

How many pens are inside each of my classmates desks?

Above question requires collection of data of pens in each desk, it is an statistical question.

Hence, "How many pens are inside each of my classmates desks?" is an statistical question.

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Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation:

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:56 degrees

Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.

Answer:

the answer is x = 56 degrees

and your not finding the side lengths

Step-by-step explanation:

there is 2 62 degrees,

meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either

so x = 56

The words are on each page is 73.

Given:

A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.

The number of words in the book is congruent to 184, modulo 203.

136n mod 203 =184,

solve for n

Using CRT + MMI

n =203m  +  73,  where m =0, 1, 2, 3....

Therefore the words are on each page is 73.

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

7/10

Step-by-step explanation:

The ratio 10:7 represents the number of pink markers to the number of orange markers.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Total number of pink Mrs. Andrews has = 10

Total number of orange Mrs. Andrews has = 7

The ratio of number of pink markers to the number of orange markers:

= 10:7

Thus, the ratio 10:7 represents the number of pink markers to the number of orange markers.

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Answer:

decrease

Step-by-step explanation:

Answer:

decrease

Step-by-step explanation:

Answer:

asking if there are any questions

We will have the following:

We will calculate the total charge as follows:

So, the total charge will be:

So, the total charge is approximately $352.

The number of hours that each person worked is given as follows:

The number of hours worked by each person is obtained solving a system of equations, for which the variables are given as follows:

They worked a total of 11 hours, hence:

x + y = 11

y = 11 - x.

They ironed 260 shirts, hence:

20x + 30y = 260.

Replacing the first equation into the second, the value of x is obtained as follows:

20x + 30(11 - x) = 260

10x = 70

x = 7.

Then the value of y is obtained as follows:

y = 11 - 7 = 4.

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Answer:

74.25 maybe

Step-by-step explanation:

Answer:

Rico will ride 38.75 miles. 15.5 x 2.5 = 38.75

Step-by-step explanation:

Hope this helped you!

A child weighing 19 pounds should receive approximately 432.7 milligrams of cough medicine in one day, assuming a dosage of 5.0 milligrams of medicine per kilogram of body weight.

Step 1: Convert the weight from pounds to kilograms.

To convert pounds to kilograms, we multiply the weight in pounds by the conversion factor 0.4536.

19 pounds × 0.4536 = 8.6184 kilograms

Step 2: Calculate the amount of cough medicine based on the dosage.

Multiply the weight in kilograms by the dosage per kilogram.

8.6184 kilograms × 5.0 milligrams/kg = 43.092 milligrams

Therefore, a child weighing 19 pounds should receive approximately 43.092 milligrams of cough medicine in one day, using the given dosage of 5.0 milligrams of medicine per kilogram of body weight.

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Answer:

4 x 4 x 4 = 64 , so 4^3 = 64

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Given equation,

→ x³ = 64

Now the value of x will be,

→ x³ = 64

→ x = ³√64

→ [ x = 4 ]

Hence, the value of x is 4.

m <1 + m <2 = m <2 + m <3 is proven by the Vertical Angles Theorem.

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The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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