The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters

Given :

Total pounds of potatoes, T = 62,049.

On Monday a farmer sold 25,196 pounds of potatoes on Tuesday he sold 18,023 pounds.

To Find :

How many pounds he sold in Wednesday to end the stock.

Solution :

Potatoes sold in Wednesday = Total - Potatoes sold in Monday - Potatoes sold in Tuesday

= 62049 - 25196 - 18023 pounds

= 18830  pounds

Hence, this is the required solution.

This iterated integral can be used to evaluate the triple integral of any function f(x,y,z) over a sphere of radius 4 centered at (0,0,0), using the order dz dx dy.

To write the iterated integral for triple integral of f(x,y,z) over a sphere of radius 4 centered at (0,0,0) using the order dz dx dy, we need to break down the integral into three separate integrals, one for each variable. Here is the iterated integral:

∫ from -4 to 4 ∫ from -sqrt(16 - x^2) to sqrt(16 - x^2) ∫ from -sqrt(16 - x^2 - y^2) to sqrt(16 - x^2 - y^2) f(x,y,z) dz dy dx

In this integral, the outermost integral with respect to x ranges from -4 to 4, since the sphere has a radius of 4. The next integral with respect to y ranges from -sqrt(16 - x^2) to sqrt(16 - x^2), which is the equation of a circle with a radius of sqrt(16 - x^2) in the xy-plane. Finally, the innermost integral with respect to z ranges from -sqrt(16 - x^2 - y^2) to sqrt(16 - x^2 - y^2), which is the equation of a circle with a radius of sqrt(16 - x^2 - y^2) in the xy-plane, and represents the height of the sphere at each point (x,y).

This iterated integral can be used to evaluate the triple integral of any function f(x,y,z) over a sphere of radius 4 centered at (0,0,0), using the order dz dx dy.

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Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

the formula for a linear regression line is y = ax + b

where a and b are:

Answer: 4.8x + 3

Step-by-step explanation:

Answer:

u = \(\frac{r}{w+q}\)

Step-by-step explanation:

Given

uw + uq = r ← factor out u from each term on the left side

u(w + q) = r ← divide both sides by (w + q)

u = \(\frac{r}{w+q}\)

The equation uw + uq = r is solved for u will be written as u = r / (w + q).

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

uw + uq = r

Simplify the equation for u, then the equation will be written as,

uw + uq = r

u(w + q) = r

u = r / (w + q)

The equation uw + uq = r is solved for u will be written as u = r / (w + q).

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There are several statistics that are robust to outliers: Median, Interquartile range, Winsorized mean and Trimmed mean.

These statistics are more suitable for datasets that contain outliers as they are less influenced by the extreme values and provide more accurate information about the central tendency and variability of the data.

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Answer:

Here is the equation in quadratic form:

x= 3±i√47/4

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

reduce a fraction to its simplest form, we divide both numerator and denominator by their GCF. 48 / 60 ÷ 12 / 12 = 4 / 5.

hope it helps.....

Answer:

5:4

Step-by-step explanation:

If both are even, I usually like to divide both the numerator and the denominator by 2 until I can no longer do so (meaning, dividing either of them by 2 would result in a fraction). This is, of course, if you cannot think of the greatest common factor off the top of your head.

\(\frac{60}{48} \to \frac{30}{24} \to \frac{15}{12}\)
We cannot divide by 2 anymore, however, it is a lot simpler to detect now that we can divide by 3.

\(\frac{15}{12} \to \frac{5}{4}\)

Answer:

1764 cm²

Step-by-step explanation:

(45 * 12 * 2) + (45 * 6 * 2) + (12 * 6 * 2) = total surface area

= 1764

Answer: B

Step-by-step explanation:

The dimensions of the bathroom in terms of x are 5x - 4 by 3x + 1

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

The figure

The bathroom is located at the bottom left of the figure, where we have

Width = 5x - 4

For the length, we have

Length = 6x + 4 + 2x + 1 - 5x - 4

Evaluate the like terms

Length = 3x + 1

So, we have

West side = 5x - 4

East side = 3x + 1

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Answer:

The answer is 4/5

Step-by-step explanation:

-1/2 y ≤ -2/5

1/2y ≤ 2/5

y ≤ 2 × 2/5

y ≤ 4/5

Thus, The value of y is 4/5

-TheUnknownScientist 72

The reference angle would be 155 degrees.

An angle's reference angle is the measure of the smallest, positive, acute angle formed by the terminal side of the angle and the horizontal axis.

The positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants.

The reference angle is acute angle, it must be < 90°.

The terminal side lies in Quadrant II.

The positive measure is:

=180-25

=155°.

And the negative measure is:

= 155-360

= -205°.

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the value of tan(θ) is 12/35.The closest answer choice to this value is (A) 0.3243, which is approximately equal to 12/37.

what is approximately  ?

"Approximately" means "about" or "roughly." It is used to indicate that a given value or measurement is not exact, but is close enough to be a useful estimate.

In the given question,

Since we know sin(θ) = opposite/hypotenuse, we can use the given value sin(θ) = 12/37 to find the adjacent side of the triangle using the Pythagorean theorem. Let's call the adjacent side x:

sin(θ) = opposite/hypotenuse

sin(θ) = 12/37

opposite = 12, hypotenuse = 37

cos(θ) = adjacent/hypotenuse

cos(θ) = x/37

Using the Pythagorean theorem, we know that:

opposite² + adjacent² = hypotenuse²

12² + x² = 37²

144 + x² = 1369

x² = 1225

x = 35

So, the adjacent side is 35.

Now that we know the opposite and adjacent sides, we can use the tangent function to find the value of tan(θ):

tan(θ) = opposite/adjacent

tan(θ) = 12/35

Therefore, the value of tan(θ) is 12/35.

The closest answer choice to this value is (A) 0.3243, which is approximately equal to 12/37.

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Answer:

Step-by-step explanation:

b-3368/2 = t

Considering the relative frequencies in this problem, the association between scoring 21 points and winning the game is as follows:

There is a strong, positive association.

The relative frequency of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

From the table given at the end of the answer, we have that when the team scored at least 21 points, an interval composed of 28 games, the team won 25 games and lost only 3, hence the relative frequency of wins when the team scores at least 21 points is of:

25/28 = 0.8929 = 89.29%.

Due to this high frequency of wins, there is a strong and positive association between scoring 21 points and winning the game

The table with the team's results is given by the image at the end of the answer.

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Answer:

149

Step-by-step explanation:

12× 24 = 288

228 - 139 = 149

Answer:

B. 149

Step-by-step explanation:

If the students have already filled 139 balloons with air and are going to use all the bags. They would need to fill 149 more balloons.

The first step would be to find the total number of ballons by calculating 12x24 which will give you 288.

From here you would need to subtract the number of ballons that are already filled with air from the balloons that remain which would be 288-139. This would give you a total of 149 balloons that still need to be inflated.

answer: slope = 1

The amount of the first powder that the pharmacist uses is -100 milligram and the amount of the second powder that the pharmacist uses is 1500mg

Let the amount of the first powder that the pharmacist uses "x" (in milligrams), and the amount of the second powder "y" (also in milligrams).

0.20x + 0.10y = 130 (equation 1)

0.15x + 0.10y = 180 (equation 2)

Subtract equation 2 from 1

0.20x-0.15x=130-180

0.5x=-50

Divide both sides by 0.5

First powder x=-100

Now plug in -100 to find y

0.20(-100)+0.10y=130

-20+0.10y=130

0.10y=150

Divide both sides by 0.1

y=150/0.1

second  powder y=1500

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Answer:

first lets write down the statement

"The definition of good mathematical problem is the mathematics it generates rather than the problem itself"

Andrew Willes

People interpret things differently there have been math problems that were told to be unsolved until someone viewed it differently and solved it. If you never try it, you will never solve it. Some problems seem simple but you try them for a year, ten years, a hundred years and it turns out they are extremely hard to solve. Simple but challanging math problems.  The Good Math problems are those that look simple but are hard to solve. The problem itself looks simple But the math it generates is hard and complex to solve.

It is saying that to have a good mathematical problem depends on what that problem is (generates)

Some mathematical problems will be easier or harder than others.

But It is saying that the definition of a good problem is because it's mathematical not what the quesiton is.

The common ratio of the sequence is 0.5.

The common ratio of a geometric sequence can be found by dividing any term by its previous term. Let's call the first term "a" and the common ratio "r". Then we have:

third term = a * r^2 = 100

eighth term = a * r^7 = 3.125

We can divide the equation for the eighth term by the equation for the third term to eliminate "a":

\((a * r^7) / (a * r^2) = 3.125 / 100\)

\(r^5 = 0.03125\)

r = 0.5

Therefore, the common ratio of the sequence is 0.5.

We are given two terms of a geometric sequence and are asked to find the common ratio. We can use the formula for the nth term of a geometric sequence to write two equations involving the first term "a" and the common ratio "r". By dividing the two equations, we can eliminate "a" and solve for "r". In this case, we get a fifth degree equation for "r", which we can solve using a calculator or by recognizing that 0.03125 is equal to 1/32, and therefore r is equal to the fifth root of 1/32, which simplifies to 0.5.

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Therefore, the simple interest on the loan is $14,400. Accumulated value = P + Simple Interest= 30000 + 14400= $44,400 Therefore, the accumulated value on the loan is $44,400.

a) The given system of linear equations is:x + 2y = 74x + 7y = 26 The above equations can be rewritten in matrix form as shown below:

Thus, the required augmented matrix is [A|B].

The above matrix can be transformed to RREF form as shown below:

Thus, the RREF form of the above matrix is [I|C].

Now, let's write the above RREF form of the matrix in equation form.=> x = 3 , y = 2

Hence, the solution of the given system of linear equations is x = 3 and y = 2. b) The given system of linear equations is:

x + 2y - z = 7x + y + z = 8x + 3y + 2z = 16

The above equations can be rewritten in matrix form as shown below:

Thus, the required augmented matrix is [A|B].The above matrix can be transformed to RREF form as shown below:

Thus, the RREF form of the above matrix is [I|C].

Now, let's write the above RREF form of the matrix in equation form.

=> x = 2, y = 1, z = 5 Hence, the solution of the given system of linear equations is x = 2, y = 1, and z = 5.

c) The given system of linear equations is:x + z = 12x + y = 11y + 2z = 20

The above equations can be rewritten in matrix form as shown below:

Thus, the required augmented matrix is [A|B].

The above matrix can be transformed to RREF form as shown below:

Thus, the RREF form of the above matrix is [I|C].

Now, let's write the above RREF form of the matrix in equation form.

=> x = 3, y = 8, z = 6

Hence, the solution of the given system of linear equations is x = 3, y = 8, and z = 6.

Interest and the accumulated on a loan are calculated using the formulae given below:

Simple Interest = (P × R × T) / 100

Accumulated value = P + Simple Interest

where P = Principal amount, R = Rate of interest, and T = Time in years.

Given that the Principal amount (P) = $30,000, the Rate of interest (R) = 8% per year, and the Time (T) = 6 years.Simple Interest = (P × R × T) / 100= (30000 × 8 × 6) / 100= $14,400

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\(-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5\)

The iPad bought by Mr. Lee has the original price of $294 if he paid $250 with 15% off the iPad

Discount refers to the reduction in the original price to allure customers to buy the product.

Original price = discounted price + discount

Let the original price be x

Given, discounted price (or price after discount) = $250

Discount % = 15%

Discount % = (original price - discounted price) / original price * 100

15 = \(\frac{x-250}{x}*100\)

15x = (x - 250) 100

3x = 20x - 5000

5000 = 17x

x = 294.1

Therefore, the original price is around $294

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Answer:

800

Step-by-step explanation:

3000 feet minus 2200 feet is 800 feet

In integration the bindefinite integral of 1/xlnx is

ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.

The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.

This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.

We have the vital:

\(∫1xlnxdx

Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.

∫1xlnxdx=∫(1lnx)1xdx=∫1udu

This is a not unusualplace vital:

∫1udu=ln(|u|)+C

Since u=lnx :

ln(|u|)+C=ln(|lnx|)+C\)

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Answer:

multiply vertically

Step-by-step explanation: