g a survey reports that 67% of college students prefer to drink more coffee during the exams week. if we randomly select 80 college students and ask each whether they drink more coffee during exams week. what is the probability that at most 52 say that they drink coffee during exam week?

Answer:

a=7

Step-by-step explanation:

first subtract 4a from each side

6a-4a-8=6

than add 8 to each side

6a-4a=6+8

combine like terms

2a=14

divide both sides by 2

a=7

Answer: -9/7

Step-by-step explanation:

A) The net will be made up of 6 parts, representing the top, bottom, front, back, and sides of the rectangular prism.

C) Two parts of the net will have dimensions of 12 mm by 7 mm.

D) Two parts of the net will have dimensions of 7 mm by 18 mm.

A rectangular prism contains six faces, twelve edges, and eight vertices.

The rectangular prism's top and bottom are always rectangles.

It, like the cuboid, has three dimensions: length, breadth, and height.

Pairs of opposing faces are said to be identical or congruent.

These assertions accurately describe the net of a rectangular prism with dimensions of 18 millimeters, 7 millimeters in width, and 12 millimeters in height. The net will be divided into six sections that represent the top, bottom, front, back, and sides of the rectangular prism. Two pieces of the net will be 12 mm by 7 mm in size, and two parts will be 7 mm by 18 mm in size.

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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-scale drawing is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount ( called the scale )

-the answer is: scale drawing

The total flux of F over the solid is `512π/5`.

Given solid is bounded by `z=x^2+y^2` and `z=4`.

We need to find the volume of the solid.

The volume of the solid can be found as follows:

V = ∭dVIn cylindrical coordinates:

x = r cos θ,y = r sin θ,z = z

Then, the volume element is given by:

dV = r dr dθ dz

The limits of integration are:

r: 0 to 2θ: 0 to 2πz: x² + y² to 4

Then, the volume is given by:

V = ∭dV= ∫₂⁴ ∫₀²π ∫₀² r dr dθ dz= 32π cubic units

According to the Divergence theorem, ∬S F · n dS = ∭V div F dV.

We are given that F = 3x² i + 9y j - 3z k. Let's calculate div F:

div F = ∇ · F= (d/dx) (3x²) + (d/dy) (9y) + (d/dz) (-3z)= 6x + 9 - 3= 6x + 6

The total flux of F over the solid is given by:

∬S F · n dS = ∭V div F dV

We need to find the flux of F over the solid 1 ≤ x² + y² ≤ 4, 0 ≤ z ≤ 2. We can use cylindrical coordinates:

x = r cos θy = r sin θz = z

Then, the normal vector is given by:

n = cos θ i + sin θ j

Then, the flux is given by:

∬S F · n dS = ∭V div F dV= ∫₀² ∫₀²π ∫₁² (6r² + 6) r dz dθ dr= ∫₀² ∫₀²π (6r³ + 6r) dθ dr= ∫₀² (36π r⁴ + 12π r²) dr= 512π/5

Therefore, the total flux of F over the solid is `512π/5`.

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The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.


a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.

b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.

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Answer:

12353733.o as ithink it maybe this

The confidence interval will be narrower and would involve a larger risk of being incorrect.

A 95% confidence interval and a 99% confidence interval must be compared.

The confidence level is lower for a 95% confidence interval compared to a 99% confidence interval.

The margin of error would be smaller if the confidence level were lower.

As a result, the 95% confidence interval is smaller than the 99% confidence interval.

Because a 95% interval is narrower, fewer values that could provide the parameter with the correct estimate are included in the interval.

Therefore, we can say,

A 99% confidence interval will be shorter than a 95% confidence interval and carry a higher risk of being inaccurate.

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Answer:

x= -7

Step-by-step explanation:

x+4= -3

x= -3-4

x= -3+(-4)

x= -7

Answer:

fist multiply x and 4 by 7 then subtract 28 from -21 which gives you 7 and 7 divided by 7 equals 1

Answer:

approximately 75mph

Step-by-step explanation:

The change in one variable related to the change in more than one other variable is measured using multiple regression analysis.

A statistical method known as multiple regression is used on datasets intended to show a link between a single response or dependent variable and a number of independent factors.

Even though linear regression is frequently employed, it can only be utilized with one independent variable and one dependent variable. Non-linear regression is not predicted by linear regression, which is also limited to the training dataset.

We employ multiple regression to account for the same restrictions. It focuses on removing one particular limitation, which is allowing for the analysis of multiple independent variables.

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Answer: The Slope Is 3/4

Step-by-step explanation:

y = 3/4x + 2

This is given in slope intercept form y = mx+b where m is the slope

Parallel lines have the same slope

The slope is 3/4y = 3/4x + 2

Answer:

x is - 7

Step-by-step explanation:

To find the probability that at least 12 out of 14 randomly selected people have brown eyes, we need to calculate the probability of selecting 12, 13, and 14 people with brown eyes and add those probabilities together.

To calculate the probability, we can use the binomial probability formula:

P(X ≥ k) = P(X = k) + P(X = k+1) + ... + P(X = n)

where X follows a binomial distribution with parameters n (number of trials) and p (probability of success).

In this case, n = 14 (number of people selected) and p = 0.40 (probability of selecting someone with brown eyes). We can calculate the individual probabilities P(X = k) using the binomial probability formula:

P(X = k) = (n C k) * \(p^{k}\) *\((1-p)^{n-k}\)

where (n C k) represents the number of combinations of selecting k items from a set of n items.

Once we have the individual probabilities, we can add them together to find the probability that at least 12 out of 14 people have brown eyes.

To determine whether it is unusual to randomly select 14 people and find that at least 12 of them have brown eyes, we can compare the probability we calculated to a certain threshold.

If the probability is very low (usually less than 0.05), we can consider it unusual. However, the specific threshold for what is considered unusual can vary depending on the context and the level of significance chosen.

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Answer:

$17131.50

Step-by-step explanation:

23500 decrease 10% =

23500 × (1 - 10%) = 23500 × (1 - 0.1) = 21150

21150 decrease 10% =

21150 × (1 - 10%) = 21150 × (1 - 0.1) = 19035

19035 decrease 10% =

19035 × (1 - 10%) = 19035 × (1 - 0.1) = 17131.5

Answer:

x = 50

Step-by-step explanation:

Since this is a quadrilateral, the sum is 360 degrees

2x+x+10 + 3x+x = 360

Combine like terms

7x+10 =360

Subtract 10 from each side

7x+10-10 = 360-10

7x = 350

Divide by 7

7x/7 = 350/7

x = 50

Answer:

\(x = 50\)

Step-by-step explanation:

Sum of the interior angles in a quadrilateral

= 360°

Let's solve now

\(x + 10 + 3x + x + 2x = 360 \\ 7x + 10 = 360 \\ 7x = 360 - 10 \\ 7x = 350 \\ \frac{7x}{7} = \frac{350}{7} \\ x = 50\)

hope this helps you.

\(X = B(C^{-1})^2 - A\) is a solution to the invertible matrices equation \(C^{-1}(A+X)B^{-1}=I_n\).

We can begin by multiplying both sides of the equation by\((A+X)B^{-1}\):

\(C^{-1}(A+X)B^{-1}(A+X)B^{-1} = I_n(A+X)B^{-1}\)

Simplifying the left-hand side, we get:

\(C^{-1}(A+X)B^{-1}(A+X)B^{-1} = C^{-1}(A+X)(A+X)^{-1}C^{-1} = C^{-1}C^{-1} = (C^{-1})^2\)

Simplifying the right-hand side, we get:

\(I_n(A+X)B^{-1} = (A+X)B^{-1}\)

When we plug these values back into the original equation, we get:

\((C^{-1})^2 = (A+X)B^{-1}\)

Multiplying both sides by B, we get:

\(B(C^{-1})^2 = A+X\)

When we return to the original equation, we get:

\(C^{-1}(B(C^{-1})^2)B^{-1} = I_n\)

Simplifying, we get:

\((C^{-1})^2 = (C^{-1})^2\)

This is a true statement, so the equation has a solution,\(X = B(C^{-1})^2 - A\).

To solve the equation C^{-1}(A+X)B^{-1}=I_n, we first multiplied both sides by \((A+X)B^{-1}\) and simplified the equation to get \((C^{-1})^2 = (A+X)B^{-1}\). We then multiplied both sides by B and substituted the result back into the original equation to get \(C^{-1}(B(C^{-1})^2)B^{-1} = I_n\). Simplifying this equation, we got \((C^{-1})^2 = (C^{-1})^2\), which is a true statement. Therefore, the equation has a solution, X = \(B(C^{-1})^2 - A\).

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Answer:

53/-18.75 = -2.82666

Step-by-step explanation:

hope this helps :)

Answer:

\( \frac{53}{ - 18.75} = \frac{5300}{ - 1875} = - 2.826\)

I hope I helped you‌^_^

Answer:

Slope = 1

Step-by-step explanation:

(x₁,y₁) = (6 , -3)    & (x₂ , y₂) = (3,-6)

\(Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-[-3]}{3-6}\\\\=\dfrac{-6+3}{-3}\\\\=\dfrac{-3}{-3}\\\\=1\)

Answer:

x = 175

Step-by-step explanation:

Add 8 on both sides to get 350 = 2x.  Divide 2 on both sides to get your x value which is 175.

When a circle is translated 4 units to the right and then reflected over the x-axis.

The center of the original circle will move 4 units to the right, while the image of the original circle will be reflected over the x-axis and placed at a new location.

Here are the things that will always be true of the circle at the new location:

A circle is symmetric around its center. Therefore, the radius and diameter of the circle remain constant. The center of the original circle will move 4 units to the right, while the image of the original circle will be reflected over the x-axis.

Thus, the new center will be 4 units to the right of the original center but on the x-axis, and the shape will be the same as that of the original circle.

Therefore, we can say that the circle will remain the same size but will be located 4 units to the right of the original circle, with its image reflected over the x-axis.

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Answer:

\( 8.7 \times {10}^{ - 2} \)

Step-by-step explanation:

\(.087 = 8.7 \times {10}^{ - 2} \\ \)

Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.

As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."

According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.

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Answer:

None of them

Step-by-step explanation:

The other numbers are 4.6 and above. The number in the question is 4.01, which is the smallest.

Answer:

$30

Step-by-step explanation:

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

\(AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,\)

To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other.  The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.

Determine which two sides of the triangle are equal in length (these are called the "congruent sides").

Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."

Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).

For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.

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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.

In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.

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Answer:

Step-by-step explanation:

Given :

l + m + n = 9

l²+ m² + n²= 31

l + m + n = 9

On squaring both sides

(l + m + n)²= 9²

(l²+m²+n²+2(lm+mn+nl) = 81

31 +2(lm+mn+nl) = 81

2(lm+mn+nl) = 81 - 31

2(lm+mn+nl) = 50

(lm+mn+nl) = 50/2

(lm+mn+nl) = 25

Hence, the value of (lm+mn+nl) = 25

Answer:

YOU GOT GOOGLE

Step-by-step explanation:

GOOGLE!!