To determine whether students at Bernal want to attend an art festival at the school, Manuel surveys all the students in the library at lunch.


Biased or unbiased. Explain for brainlist, no links or report.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 8000\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A = 8000\left(1+\frac{0.028}{1}\right)^{1\cdot 4}\implies A=8000(1.028)^4 \implies A \approx 8934.34\)

Answer:    53.213

Step-by-step explanation:

a bakery uses 8 tablespoons of honey for every 10 cups of flour so how many tablespoons of honey do they use with 20 cups of flour ​

we can use a rule of three

Step 1

define

there is a relation between the honey and the flour, is needs to be constant, so

Step 2

fin the ratio

Now

Step 3

solve for x

so, he uses 16 tablespoons

Answer:

The fish jumped 7 inches from the sea then fell 7 inches down.

Step-by-step explanation:

Answer:

7-7

Step-by-step explanation:

7 adding a negative number means it is subtracting because you are taking away from the 7.

To calculate the ratio of r_l at l=80cm for the thin nichrome wire to the measurement using the thick nichrome wire, we need experimental data for both wires. As it is not provided, it is impossible to provide calculation.

The ratio of r_l at a specific length can be determined by dividing the resistance of the thin nichrome wire at that length by the resistance of the thick nichrome wire at the same length. This ratio will provide information about how  resistance of the thin wire compares to the resistance of the thick wire at a particular length.

However, without the actual experimental data for both wires, including their respective resistances at the specified length of 80cm, it is not possible to generate a specific numerical answer for ratio.

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#complete question

Answer:

The answer is m = 8 + 2p.

m = 2n

n = 4 + p

m = 2(4 + p) = 8 + 2p

Therefore, the only formula that is also true is m = 8 + 2p.

Step-by-step explanation:

Answer:

From the given equation-

4(3p+2)−5(6p−1)=2(p−8)−6(7p−4)

⇒12p+8−30p+5=2p−16−42p+24

⇒−18p+13=−40p+8

⇒−18p+40p=8−13

⇒22p=−5

⇒p=

22

−5

.

Step-by-step explanation:

basicly what I said

Answer:

the answer is 60

Step-by-step explanation:

because 2(30)=60

Research finds that a blend of drill in computing and "number sense" is most beneficial with regards to teaching mathematics.

A blend of drill in computing and "number sense" is most beneficial when teaching mathematics because it allows students to develop both procedural fluency and conceptual understanding. Rote memorization of math facts and rules and computation drills alone focus only on procedural fluency and can lead to students who can solve problems mechanically without understanding the underlying concepts.

On the other hand, focusing solely on "number sense" can lead to students who struggle with computational skills and may have difficulty applying mathematical concepts to real-world problems. A balanced approach that includes both procedural fluency and conceptual understanding allows students to develop a strong foundation in mathematics that will serve them well in future learning and problem-solving.

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Let \(x=2\cos(t)\) and \(y=2\sin(t)\), so that

\(x^2 + y^2 = 4\cos^2(t) + 4\sin^2(t) = 4\)

is preserved. Then from the surface equation, we get

\(z = xy = 4\cos(t)\sin(t) = 2\sin(2t)\)

The curve of intersection is then given by the vector function

\(\vec r(t) = 2\cos(t) \, \vec\imath + 2\sin(t)\,\vec\jmath + 2\sin(2t)\,\vec k\)

Answer:

Step-by-step explanation:

Answer:

12. yes 13. yes 14. no 15. yes 16. no

Step-by-step explanation:

no explanation since your desperate on time rn

The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²

After folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.

An equilateral triangle is a type of triangle where by all the three sides are equal.

To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.

Using the formula for the area of an equilateral triangle,

A = √¾ a²

a= 12 inches

A = √¾ ×12²

A = 62.35 inches ²

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Answer:

Its 78!!!!

Solution:

1/2(12 * 18 - 5 * 12) = 78

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Correct Option is. False

When two random variables, X and Y, are independent, the variance of their sum, X+Y, is equal to the sum of their individual variances. In this case, both X and Y have a variance of 20. Therefore, the variance of X+Y would be the sum of 20 and 20, which is 40, not 20.

To understand why this is the case, we can consider the definition of variance. Variance measures how spread out the values of a random variable are from its mean. When two variables are independent, their joint distribution is simply the product of their individual distributions. The variance of the sum of two independent variables is obtained by summing their variances.

In this scenario, each variable has a variance of 20. However, when we add them together, the variances do not add up. Instead, the variance of the sum is the sum of the individual variances, resulting in a variance of 40 for X+Y.

Therefore, the statement "var(X+Y)=20" is false. The correct answer is that the variance of X+Y is 40.

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Answer:

19320 kg/m³

Step-by-step explanation:

We are given that the density of gold is 19.32 g/cm³, and we want to convert that density to kg/m³.

We can solve this in a manner similar to dimensional analysis, which is common in chemistry. When we do dimensional analysis, we use conversion factors with labels that we cancel out in order to get to the labels that we want.

Recall that 1 kg is 1000 g, and 1 m³ is cm. These will be our conversion factors.

So, we can do the following:

\(\frac{19.32g}{1 cm^3} * \frac{1000000 cm^3}{1 m^3} * \frac{1kg}{1000g}\) = 19320 kg/m³

So, the density of gold is 19320 kg/m³.

Answer:

Q 1- 15, just multiply 5 x 2 = 15

Q 2- 36, just multiply 8 x 12 = 36

Q 3- y= -2x

Q 4- 1200

Q 5- 20

Answer:

Step 3  they took the square root incorrectly

Step-by-step explanation:

5 ( x-2)^2 +6 = 86

Subtract 6 from each side

5 ( x-2)^2 +6 -6= 86-6

5 ( x-2)^2  = 80

Divide each side by 5

5 ( x-2)^2  /5 = 80/5

(x-2)^2 = 16

Take the square root of each side

sqrt((x-2)^2)  = ±sqrt(16)

x-2 = ±4

Answer:

Alternate Exterior Angles

Step-by-step explanation:

The alternate exterior angle theorem is when two different lines are corssed by a transversal. Essentially alternate exterior angles are when two different angles are on opposite sides of the transversal. In the given photo, 6 and 12 are on opposite sides of one transversal which makes them alternate exterior angles.

Best of Luck!

Answer:

  with respect to transversal l, angles 6 and 12 are "alternate interior" angles

Step-by-step explanation:

Angles 6 and 12 are at different intersections. The line joining those intersections is line l.

The transversal is l.

__

With respect to that transversal, angle 6 is between lines m and n crossing that transversal. Likewise for angle 12. Since both are "inside" angles, they are "interior."

Angles 6 and 12 are on opposite sides of the transversal l, so are "alternate" angles.

Angles 6 and 12 are "alternate interior" angles.

A bar chart should be used to describe the frequency table of the survey responses for room service in a hotel. The chart would have three bars representing the frequency of each response category: not satisfied (20), satisfied (40), and highly satisfied (60).

Based on the given survey data and terms, you can use a bar chart to describe the frequency table.
1. Create a bar chart with a horizontal axis representing the different response categories: Not Satisfied, Satisfied, and Highly Satisfied.
2. Label the vertical axis as "Frequency" to indicate the number of occurrences for each category.
3. For each response category, draw a bar with a height corresponding to its frequency from the breakdown: Not Satisfied (20), Satisfied (40), and Highly Satisfied (60).
4. Ensure the bars are evenly spaced and clearly labeled to accurately represent the frequency table.

A bar chart is suitable for this data because it visually represents the frequency of each response category, making it easy to compare and analyze the survey results.

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Answer:

keeping the value of x as -1

then we have

\(f( - 1) = {1}^{2} + 5 \times 1 - 7\)

=1 +5-7

= -1

Answer:

it is 27

Step-by-step explanation:

if you add all the colors together you get the total amount of beads

Answer:

9z^8

Step-by-step explanation:

2z^8 + 7z^8

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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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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There are 7 6ths in 1 1/6

Each of those slots would have 1/6 wrote in them I believe

Let me know if I'm correct :)

Answer:

There is one solution

Step-by-step explanation:

2x=14

There is only one that could solve this, that wold be 7 and no other number besides -7