evaluate 1/3 multiplied by 14/21

Answer:

1140 households

Step-by-step explanation:

The results of a computer survey of 80 households in Westville are shown in the table.

So from the table we can see that 6 households have 3 numbers of computers.

So the probability is \($\frac{6}{80}$\)

Therefore, the probability of number of houses from a total of 15,200 houses to have exactly three computers is = \($\frac{6}{80} \times 15200$\)

                                                          = 1140 houses

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Answer:

The equation of the line is y = (5/2)x + 5.

Step-by-step explanation:

When both line are parallel, they share the same gradient value so the equation will be y = (5/2)x + b. Next, you have to find the value of b, by substituting the coordinates into the equation :

y = (5/2)x + b

let x = -2, y = 0,

0 = (5/2)(-2) + b

0 = -5 + b

b = 5

Answer:

y=5/2x+5

Step-by-step explanation:

Since both lines are parallel they have the same slope. From y=5/2x+1, the slope is 5/2

The equation of the line passing through (-2,0) using slope intercept form is

y-y1=m(x-x1)

y-0=5/2(x--2)

y=5/2(x+2)

y=5/2x+5

Answer:

∠G = 50°

∠H = 110°

∠I =20°

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the area of the circle use the formula pi r^2, r is the radius, so half the diamiter. D/2 = 20.

Now we use pi r^2 = pi * 400

So answer is A.

Answer:

Option A 400x m²

Step-by-step explanation:

We know that the diameter of a circle is double of the radius.

So the radius will be 40/2 m = 20 m i.e half of the diameter.

According to the question let the pi be x.

Area of a circle

πr²

= x×20m×20m

= 400x m²

Hence option A is correct.

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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The result of the given segment can be summarized as follows:
- AX = 000A
- BX = BA74

Now, let's break down the steps of the segment to understand how the result is obtained:

1. MOV AX, 0001: This instruction moves the value 0001 into AX. So, AX becomes 0001.

2. MOV BX, BA73: This instruction moves the value BA73 into BX. Now, BX is BA73.

3. ASHL AL: This instruction performs an arithmetic shift left operation on the lower 8 bits of AX. The lower 8 bits of AX are AL. Shifting a binary number left by one position is equivalent to multiplying it by 2. Since AX is initially 0001, the result is AX = 0002.

4. ASHL AL: Again, this instruction performs an arithmetic shift left on the lower 8 bits of AX (AL). After the shift, AL becomes 0004.

5. ADD AL, 07: This instruction adds the value 07 to AL. Since AL is initially 0004, the result is AL = 000B.

6. XCHG AX, BX: This instruction exchanges the values of AX and BX. After the exchange, AX becomes BA73 and BX becomes 000B.

Therefore, at this point, the result is AX = BA73 and BX = 000B.

The remaining instructions are not included in the given options. Hence, we cannot determine the final result based on the given segment.

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Answer: 192

Step-by-step explanation:

Use algebra

x + 3x + x + 3x = 64 (perimeter)

Combine Like Terms

8x = 64

x = 8

8 + 24 + 8 + 24 = 64

24/8 = 3

Answer: k= 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total number of seventh-grade students who play an instrument is 9 + 9 + 11 + 9 = 38. The number of seventh-grade students who play an instrument other than guitar is 9 + 11 + 9 = 29. Therefore, the probability that a seventh grader chosen at random will play an instrument other than guitar is 29/38 ≈ 0.76 (rounded to the nearest hundredth).

The value of the sum of squares due to regression (SSR) is 17.43.

Certainly! In statistics, the sum of squares is a measure that quantifies the variability or dispersion of data points around a certain value. It is commonly used in regression analysis to assess how well a regression line or model fits the observed data.

The total sum of squares (SST) represents the total variability in the dependent variable, which is the sum of the squared differences between each data point and the overall mean of the dependent variable. It is a measure of the total deviation of the data points from the mean.

The sum of squares due to error (SSE), also known as the residual sum of squares, represents the unexplained variability in the dependent variable after accounting for the regression model. It is calculated by summing the squared differences between the observed values and the predicted values from the regression model.

The sum of squares due to regression (SSR), also known as the explained sum of squares, represents the variability in the dependent variable that can be attributed to the regression model. It is calculated by subtracting the SSE from the SST.

In the given scenario, the SST is 23.32 and the SSE is 5.89. By subtracting the SSE from the SST, we obtain the SSR. Substituting the values:

SSR = SST - SSE

   = 23.32 - 5.89

   = 17.43

Therefore, the value of the sum of squares due to regression (SSR) is 17.43.

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Answer:

no. there are 48 with both.

In a four-candidate race with 107 votes cast, the smallest number of votes a winning candidate can have is 28.

In a four-candidate race decided by plurality, the winning candidate is the one who receives the most votes, regardless of whether that number of votes constitutes a majority (more than 50%) of the total votes cast.

To determine the smallest number of votes a winning candidate can have in a four-candidate race with 107 votes cast, we can assume that the other three candidates each receive an equal number of votes, say x. Then, the winning candidate must receive more votes than each of the other three candidates.

So, the minimum number of votes the winning candidate can receive is x + 1.

The total number of votes cast in the election is:

x + x + x + (x + 1) = 4x + 1

Since we know that 4x + 1 = 107, we can solve for x:

4x + 1 = 107

4x = 106

x = 26.5

Since x must be a whole number, we can round up to x = 27.

Then, the minimum number of votes the winning candidate can have is:

27 + 1 = 28

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Answer:

A tourist receives 2376 ec currency in exchange for us 1200.

Step-by-step explanation:

This can be calculated as follows:

Tax rate = 1%

Amount of us currency = 1200

Total amount of ec currency = Amount of us currency * 2 = 1200 * 2 = 2400

Amount of tax = Total amount of ec currency * Tax rate = 2400 * 1% = 24

Net amount of ec currency = Total amount of ec currency - Amount of tax = 2400 - 24 = 2376

Net amount ec currency obtained above is the amount of ec currency which a tourist receives in exchange for us 1200.

Therefore, a tourist receives 2376 ec currency in exchange for us 1200.

Answer:

The value of the given expression to the nearest integer is 114,126.

Step-by-step explanation:

\(\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}\)

The given sigma notation means

As 80(1.23)ⁿ⁻² is exponential, the series is geometric.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.

The formula for the sum of the first n terms of a geometric series is:

\(S_n=\dfrac{a(1-r^n)}{1-r}\)

As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.

Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:

\(\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}\)

\(\implies S_{28}=114125.755...\)

\(\implies S_{28}=114126\)

Therefore, the value of the given expression to the nearest integer is 114,126.

Answer:

t-value = 1.690

Step-by-step explanation:

We are given;

Sample size; n = 36

DF = n - 1

DF = 36 - 1

DF = 35

Confidence level = 90%

However, from the first table I attached, we see that the critical significance level of a 90% Confidence level is 0.05

Thus, in the second table, looking at a DF of 35 and significance level of 0.05, we have a critical t-value = 1.690

Answer: zero property

Step-by-step explanation:

Answer:

150 cm²

Step-by-step explanation:

The expression 6e² represents the surface area of a cube where e represents the length of each edge. What is the surface area, in square centimeters, of a 5-centimeter cube?

The surface area of a cube is expressed as: 6e²

Where e = Length of each edge

The surface area, in square centimeters, of a 5-centimeter cube

e = 5cm

Therefore, the surface area of the cube = 6 × 5²

= 6 × 25

= 150 cm²

The salesperson receives 5% of the sweater cost, that is, $40*5% = $2 per sweater. To find how many sweaters does he need to sell to make $100, we can use the next proportion.

Solving for x,

He has to sell 50 sweaters

Answer: (6,0)

Step-by-step explanation:

Answer:

\(\dfrac{c}{3(c+2)}\)

Step-by-step explanation:

\(\dfrac{c^2+4c}{c^2-4} \div \dfrac{3c+12}{c-2}=\dfrac{c^2+4c}{c^2-4} \times \dfrac{c-2}{3c+12}=\dfrac{(c^2+4c)(c-2)}{(c^2-4)(3c+12)}\)

Factor \(c^2-4\):    \(c^2-4=(c-2)(c+2)\)

\(\implies\dfrac{(c^2+4c)(c-2)}{(c+2)(c-2)(3c+12)}\)

Cancel the common factor  \((c-2)\):

\(\implies\dfrac{(c^2+4c)}{(c+2)(3c+12)}\)

Factor  \(c^2+4c\):  \(c^2+4c=c(c+4)\)

Factor  \(3c+12\):  \(3c+12=3(c+4)\)

\(\implies\dfrac{c(c+4)}{3(c+2)(c+4)}\)

Cancel the common factor  \((c+4)\):

\(\implies\dfrac{c}{3(c+2)}\)

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).

What is the simple definition of slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Let the given point be (x1,y1).

slope be m.

we know that,

Line equation passing through point is:

y - y1 = m(x - x1)

where m = slope and (x1,y1) = given point.

Therefore The equation of a straight line passing through the given point and slope is  y - y1 = m(x - x1).

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Answer: 4-4z

Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.

Answer:

1. is monomial

2. is binomial

3. is binomial

4. is trinomial

5. is trinomial

6. is binomial

Step-by-step explanation:

See...you need to know that the polynomial is determined by the number of unlilke terms in the expresion. i.e number of terms left that cant ne add subtracted or simplified anymore.

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The expression shown are 1. Monomial 2. Not a polynomial 3. Binomial 4. Trinomial 5. Not a polynomial 6. Binomial

Polynomials are expressions of the form,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ

where a's are the coefficients, x is the variable and n is the number of terms.

1. 36

36 can be written as 36 x⁰.

This is a constant polynomial.

Since there is only one term, it is monomial.

2. \(\frac{3}{q^{2} }\) + 5

This can be written as 3 q⁻² + 5.

The exponent of the variable is not a whole number, so is not a polynomial.

3. 7x - x + 5

This can be written as 6x + 5.

This is a polynomial and is binomial since there are two terms.

4. 8g²h - 7gh + 2

This is a polynomial in two variables.

This is a trinomial, as there are three terms.

5. \(\frac{1}{4y^{2} }\) + 5y - 8

This can be written as 1/4 y⁻² + 5y - 8

This is not  a polynomial as the exponent is not a whole number.

6. 6x + x²

This is a polynomial.

It is a binomial.

Hence four of the expressions shown are polynomials.

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Answer:

$28.80

Step-by-step explanation:

Hope this helps! (:

The required total number of blocks in Figures 1, 2, and 3 are 11, 18, and 27 respectively.

Figure 3,
Follow the image attached below,
Part the figure in various rectangles, such as to make the calculation easy.
Number blocks in black rectangle = number of rows × number of columns
                                                   = 3 × 6 = 18 blocks

Number blocks in two brown rectangle = 2 [1 × 2] = 4
Number blocks in violet rectangle = 5 × 1 = 5

Total blocks = 18 + 4 + 5 = 27

Similarly, figure 1 and figure 2 consist of 11 and 18 blocks respectively.

Thus, the required total number of blocks in Figures 1, 2, and 3 are 11, 18, and 27 respectively.

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A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.

Explanation:

A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Additionally, if animals were used while conducting experiments, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. If a survey was used to collect data, the researcher should have ensured the survey was properly designed and administered to avoid any biases or errors. Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.

The scientific method requires researchers to conduct experiments in a transparent and objective manner. This means that the researcher should design experiments to test hypotheses, collect data systematically, and analyze data objectively. Any manipulation of data to support a hypothesis undermines the scientific method and is considered unethical. Researchers who intentionally manipulate data can be considered fraudulent and may face disciplinary action.

If animals were used in the experiment, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. Ethical guidelines ensure that animals are treated humanely, minimize their pain and discomfort, and maximize their welfare. Researchers who violate these guidelines can be considered fraudulent and may face disciplinary action.

If a survey was used to collect data, the researcher should have ensured that the survey was properly designed and administered to avoid any biases or errors. Surveys can be susceptible to various sources of error, including sampling errors, measurement errors, and non-response bias. Researchers who fail to address these sources of error can produce biased or invalid results, which can be considered fraudulent.

Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Debriefing allows participants to understand the purpose of the study, ask questions, and voice any concerns they may have. Participants who are not debriefed may feel deceived or harmed by the study, which can damage their trust in research and researchers.

In summary, researchers must adhere to ethical standards and maintain the integrity of their research. This includes avoiding data manipulation, following ethical guidelines for animal welfare, ensuring that surveys are properly designed and administered, and debriefing participants after completion of the study. Failure to do so can result in fraudulent research and harm to participants, animals, and the scientific community as a whole.

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Answer:

Step-by-step explanation:

Use Pythagorean:

Step-by-step explanation:

we know that

\( \boxed{ \sf \: h {}^{2} = {p}^{2} + {b}^{2} } \\ \rm \mapsto \: {(15.25)}^{2} = {(2.75)}^{2} + {b}^{2} \\ \rm \mapsto \: {b} {}^{2} = {(15.75)}^{2} - {(2.75)}^{2} \\ \rm \mapsto \: b = \sqrt{ {(15.25)}^{2} - {(2.75)}^{2} } \\ \rm \mapsto \: b = \sqrt{232.5 - 7.5} \\ \rm \mapsto \: b = \sqrt{225.5} = 15.07=15(approx)\)

Answer:

help with what?

Step-by-step explanation: