According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge drinking" behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking. Based on the results of the test, a 95% confidence interval for the proportion of all students at this college that engage in binge drinking is: (Note: z-critical value = 1.96)a. 0.308 to 0.394.b. 0.318 to 0.384.c. 0.321 to 0.381.d. 0.325 to 0.377.

Answer:

well 1 dozen is 12 so 12x50 is 600

Step-by-step explanation:

Answer:

Step-by-step explanation:

One dozen is 12.

50x12=600  grams

One dozen eggs have 600 grams of mass.

Hope this helps!

The value of l is $96.

Simple interest refers to the interest that is calculated only on the principal amount and doesn't include the interest already earned. In other words, the interest is only calculated on the original amount borrowed. We can use the simple interest formula to solve problems related to it.

Given: P = $400,

r = 8%,

t = 3 years,

I = l

We know that the formula for simple interest is given as: `I = P*r*t`

Substituting the values in the above formula, we get:

I = 400*8/100*3 = 96 dollars

Therefore, I = l = $96

Thus, the value of l is $96.

Know more about Simple interest here,

https://brainly.com/question/30964674

#SPJ11

Answer:

If no other deposits or withdrawals are made, the account will have a balance of $1406.08 after 9 months. Find the annual interest rate. Expert Answer.

1 answer

·

Top answer:

Given that P=1,250A=1,406.08n=9 month

Step-by-step explanation:

the area inside the ellipse is π * a * b, and the volume of the solid obtained by revolving the upper half of the ellipse about the x-axis can be calculated using the integral described.

(a) The area inside the ellipse given by the equation x² / a² + y² / b² = 1 can be calculated using the formula for the area of an ellipse, which is A = π * a * b. Therefore, the area inside the ellipse is π * a * b.(b) To calculate the volume of the solid obtained by revolving the upper half of the ellipse from part (a) about the x-axis, we can use the method of cylindrical shells. The volume can be obtained by integrating the cross-sectional area of each cylindrical shell as it rotates around the x-axis.

The cross-sectional area of each cylindrical shell is given by 2πy * dx, where y represents the y-coordinate of the ellipse at a given x-value and dx represents the thickness of each shell. We can express y in terms of x using the equation of the ellipse: y = b * √(1 - x² / a²).Integrating from -a to a (the x-values that span the ellipse) and multiplying by 2 to account for the upper and lower halves of the ellipse, we have:

Volume = 2 * ∫[from -a to a] (2π * b * √(1 - x² / a²)) dx

Evaluating this integral will give us the volume of the solid.

Learn more about ellipse here:

https://brainly.com/question/20393030

#SPJ11

A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

To know more about spreadsheet, refer here:
https://brainly.com/question/11452070
#SPJ11

We can conclude that the system does not reach a steady state, and the amount of salt in tanks A and B will continue to change over time.

The rate of inflow of the brine mixture into tank A is 0.5 pounds/gallon x 4 gallons/minute = 2 pounds/minute.

The rate of outflow from tank A into tank B is 6 gallons/minute.

Using the formula: Amount of salt in tank A = (rate of inflow - rate of outflow) x time + initial amount of salt

After a long period of time, the amount of salt in tank A will reach a steady state. This means that the amount of salt going into tank A is equal to the amount of salt going out of tank A.

So, 2 pounds/minute x t + 20 pounds = 6 gallons/minute x (t + T) x 0.5 pounds/gallon

where t is the time (in minutes) that the brine mixture is being pumped into tank A, and T is the time (in minutes) that the solution is being circulated between tanks A and B.

Simplifying the equation, we get:

2t + 20 = 1.5t + 1.5T

0.5t = 20 - 1.5T

t = (40 - 3T)

Now, let's calculate the amount of salt in tank B after a long period of time.

The rate of inflow from tank A into tank B is 6 gallons/minute x 0.5 pounds/gallon = 3 pounds/minute.

The rate of inflow from tank B into tank A is 2 gallons/minute x (5 pounds/30 gallons) = 1/3 pounds/minute.

The rate of outflow from tank B out of the system is 4 gallons/minute.

Using the same formula as before, we can write:

(3 - 1/3) pounds/minute x T + 5 pounds = 4 gallons/minute x T x 0.5

pounds/gallon

Simplifying the equation, we get:

2.67T + 5 = 2T

0.67T = -5

T = -7.46 (which doesn't make sense, as T should be positive)

Therefore, we can conclude that the system does not reach a steady state, and the amount of salt in tanks A and B will continue to change over time.

Learn more about rates of inflow and outflow

brainly.com/question/30907606

#SPJ11

The size of the overall population is not important in determining the reliability of a poll.

The overall population that a poll is based on does not have anything significant to do with the poll itself which means that it is not important in determining reliability.

This is because the poll uses a sample of the population and not the population itself.

Find out more on the reliability of a poll at https://brainly.com/question/1347272

#SPJ4

The equation for the line in slope-intercept form y=-4x+5

1. We will, first of all, Determine the slope by counting down and over from one place to another. Let's start at (-2,13) and work our way down (0,5)

If at all you are concerned about miscounting, you can use the slope formula, which is y2-y1/x2-x1.

5-13/0--2 \s = -8/2

The gradient is -4.

2. Determine where the line intersects the y-axis to obtain the y-intercept. It crosses it at 5 here.

3. Write the equation in slope-intercept form, y=mx+b, where mx is the slope and b is the y-intercept.

y=-4x+5

Learn more about equations for a line here: brainly.com/question/7976922

#SPJ4

82 = 0.82 = multiplier

134.18 x 0.82 = 110.0276

= £110.03 (2.d.p)

Step-by-step explanation:

We can start by writing an equation to describe the data set. For 2D data, one equation form we can use is y=m*x + b, where x is the input and y is the output. Since yuan are put in and dollars are put out, x represents yuan and y represents dollars in this instance.

To find the equation, we can start by plugging in two points, such as (50, 1.25) and (100, 7.5). The slope, or m, is equal to the change in y/change in x, or

(7.5-1.25)/(100-50) = 6.25/50

= 0.125. This means that for each yuan put in, 0.125 dollars come out, according to the formula.

Next, we must find b. Plugging 0.125 in for m and taking a set of points, such as (50, 1.25), we get

1.25 = 50(0.125) + b

1.25 = 6.25 + b

subtract both sides by 6.25 to isolate the b

-5 = b

Therefore, we can write our equation as

y = 0.125 * x - 5

In this equation, there is an exchange rate of 0.125, meaning that for each yuan put in, 0.125 dollars are coming out. The -5 symbolizes that for each transaction, 5 yuan are being lost, which is the fee for exchanging money.

To check if the equation works, we can try it for options such as (200, 20) and (250, 26.25). This does work, so we can move forward with our equation.

For (c), our equation is y = 0.125 * x - 5, with the y representing dollars, x representing yuan, 0.125 representing the exchange rate, and -5 representing the fee for exchaning mone

For (b), because 5 yuan are subtracted from the exchange rate for each transaction, it is fair to assume that there is a fee for exchanging money. There is a fee of 5 yuan per transaction. In dollars, using the exchange rate of 0.125 dollars per yuan, this is equal to 0.625 dollars

For  (a), the exchange rate is 0.125 dollars per yuan. We know this because for each yuan put in, 0.125 dollars are coming out after taking into account the fee

Answer:

For each inequality, show it on the number line and write all one-digit integers that satisfy it a_<0

The (dy/dx)  in terms of x and y is (dy/dx)= (4/3y) / (2x - y) while the statutory values are 8 + 2√19) / 3, (32 + 8√19) / 3 and (8 - 2√19) / 3, (32 - 8√19) / 3

The solution to the equation using quotient rule is 1/x - 1/c

The volume formed is (4/3)πln2

equation of the curve is given as

\(2x^2 + xy - 4y/3 = 1\)

To find dx/dy, differentiate both sides with respect to y, treating x as a function of y:

-4x(dy/dx) + y + x(dy/dx) - 4/3(dy/dx) = 0

Simplifying and rearranging

(dy/dx) = (4/3y) / (2x - y)

To find the stationary values,

set dy/dx = 0:

4/3y = 0 or 2x - y = 0

The first equation gives y = 0, and it does not satisfy the equation of the curve.

The second equation gives y = 4x.

Substituting y = 4x into the equation of the curve, we get:

\(-2x^2 + 4x^2 - 4(4x)/3 = 1\)

Simplifying,

\(2x^2 - (16/3)x - 1 = 0\)

Using the quadratic formula

x = (8 ± 2√19) / 3

Substituting these values of x into y = 4x,

coordinates of the stationary points is given as

(8 + 2√19) / 3, (32 + 8√19) / 3 and (8 - 2√19) / 3, (32 - 8√19) / 3

ln(x/c) = ln x - ln c

Differentiating both sides with respect to x, we get:

\(1/(x/c) * (c/x^2) = 1/x\)

Simplifying, we get:

d/dx (ln(x/c)) = 1/x - 1/c

Using the quotient rule, we get:

\(d/dx (ln(x/c)) = (c/x) * d/dx (ln x) - (x/c^2) * d/dx (ln c) \\ = (c/x) * (1/x) - (x/c^2) * 0 \\ = 1/x - 1/c\)

Therefore, the solution to the equation using quotient rule is 1/x - 1/c

Learn more on quotient rule on https://brainly.com/question/29232553

#SPJ4

a) Once we have x, we can substitute it back into y = 4x to find the corresponding y-values, b) To differentiate ln(x/c) using the Quotient Rule, we have: d/dx[ln(x/c)] = (c/x)(1/x) = c/(x^2), c) V = ∫[0,ln(2)] π(e^(2x) - e^(3x))^2 dx

(a) To find dx/dy, we differentiate the equation −2x^2 + xy − (4/1)y = 3 with respect to y using implicit differentiation. Treating x as a function of y, we get:

-4x(dx/dy) + x(dy/dy) + y - 4(dy/dy) = 0

Simplifying, we have:

x(dy/dy) - 4(dx/dy) + y - 4(dy/dy) = 4x - y

Rearranging terms, we find:

(dy/dy - 4)(x - 4) = 4x - y

Therefore, dx/dy = (4x - y)/(4 - y)

To find the stationary values, we set dy/dx = 0, which gives us:

(4x - y)/(4 - y) = 0

This equation holds true when the numerator, 4x - y, is equal to zero. Substituting y = 4x into the equation, we get:

4x - 4x = 0

Hence, the stationary values occur on the curve when y = 4x.

To find the coordinates of these stationary values, we substitute y = 4x into the curve equation:

-2x^2 + x(4x) - (4/1)(4x) = 3

Simplifying, we get:

2x^2 - 16x + 3 = 0

Solving this quadratic equation gives us the values of x. Once we have x, we can substitute it back into y = 4x to find the corresponding y-values.

(b) To differentiate ln(x/c) using the Quotient Rule, we have:

d/dx[ln(x/c)] = (c/x)(1/x) = c/(x^2)

(c) The curve y = e^(2x) - e^(3x) rotated about the x-axis through 360 degrees forms a solid of revolution. To find its volume, we use the formula for the volume of a solid of revolution:

V = ∫[a,b] πy^2 dx

In this case, a = 0 and b = ln(2) are the limits of integration. Substituting the curve equation into the formula, we have:

V = ∫[0,ln(2)] π(e^(2x) - e^(3x))^2 dx

Evaluating this integral will give us the volume in terms of π.

Learn more about Quotient Rule here:

https://brainly.com/question/30278964

#SPJ11

When a stone is dropped into a lake, it generates a circular ripple that travels outward at a velocity of 60 cm/s. We need to find the value of A ∘ r. When solving such a problem, the wave equation is used.

A general wave equation is given as follows: A(x, t) = f(x - vt) + g(x + vt)where A is the amplitude of the wave, v is the speed of the wave, and f and g are functions that depend on the shape of the wave. Initially, the stone is dropped into the lake, and the ripple starts to propagate outward.

We assume that the shape of the ripple is circular; thus, we can say that the function that represents the ripple is: A(x, t) = A∘r(x, t)where r is the distance from the center of the ripple to any point on the circumference of the ripple. Since the ripple is circular, r will be constant at any given point on the circumference of the ripple. Also, we can assume that the amplitude of the ripple is constant; therefore, A is also constant at any point on the ripple circumference. The wave speed is given as 60 cm/s, and the ripple is circular, so the equation that represents the ripple can be written as: A(x, t) = A∘r(x - vt)For a circular ripple, the distance r from the center of the ripple to any point on the circumference can be expressed in terms of the angle θ between the radius vector and the x-axis. Hence, we can write: r = Rsin(θ)where R is the radius of the circle. The wave equation is given as:A(x, t) = A∘r(x - vt) Substitute r into the wave equation and we get: A(x, t) = A∘ Rsin(θ) (x - vt) From the initial point of the ripple, t = 0. Hence, the wave equation becomes: A(x, 0) = A∘Rsin (θ) x We can now solve for A ∘ R by using the following equation:A(x, 0) = A∘Rsin(θ) x.Thus, the value of A ∘ R is given as: A ∘ R = A(x, 0) / sin(θ)The final answer will be (A ∘ r)(t) = (A ∘ R)sin(θ) (x - vt).

Know more about circular ripple here:

https://brainly.com/question/29200285

#SPJ11

Answer:

New Coordinates W(-4, 5), X(-5, 6), (-8, 8), 2(-8,6)

The given number, 312.8 is 34% of x. To find the value of x rounded to the nearest whole number, we can use the following steps:

Step 1: Write the given information in an equation as follows:312.8 = 34% of x (in decimal form, 34% is 0.34) Step 2: Simplify the equation by dividing both sides by 0.34.312.8 ÷ 0.34 = x Step 3: Solve the equation to find the value of x.

x = 921.17647... (rounded to 9 decimal places) x ≈ 921 (rounded to the nearest whole number) Therefore, the value of x rounded to the nearest whole number is more than 100, which is 921.

To know more about whole visit:

https://brainly.com/question/32686617

#SPJ11

Answer:

Angle 3, and Angle 6

When added together with angle 4, their degrees equals to 180

Answer:

2 and 3, but 6 and 7 also work, they just aren't right next to each other

Step-by-step explanation:

The complete question is :

How do uv-induced dna lesions lead to mutation? drag the terms on the left to the appropriate blanks on the right to complete the sentences. not all terms will be used.

Answer:

When cells enter S phase with Ultraviolet-induced DNA lesions, the replicative DNA polymerases stall at the lesion.

Step-by-step explanation:

As a result of photosensitization, which causes the production of a free radical that interacts with DNA and oxidizes its bases, ultraviolet radiation causes oxygen-dependent DNA damage. Mutations occur when these oxidized bases don't pair properly during the replication process. The various types of DNA damage caused by ultraviolet radiation result in particular types of mutations and the development of skin cancer in people, frequently decades after initial exposure. There are noticeable UV-induced DNA lesions that are caused by various UV wavelengths.

When cells enter S phase with Ultraviolet-induced DNA lesions, the replicative DNA polymerases stall at the lesion.

To know more about Mutation

https://brainly.com/question/3523174

#SPJ4

Answer:

Step-by-step explanation:

2x − y = 11      ⇒    -y = - 2x +11     ⇒      y = 2x - 11

x + 3y = -5

x + 3(2x - 11) = -5

x + 6x - 33 = -5

       +33       +33  

7x = 28

 ÷7     ÷7

 x = 4

Answer: 4

Step-by-step explanation:

credits the guy uptop

Answer:

1 inch:2 feet

Step-by-step explanation:

Answer:

10  

Step-by-step explanation:

1. AB

2 BC

3. CD

4. DE  

5. AC  

6. B D

7.CE

8.AD

9.BE

10. A E

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

Answer:

1.sans 2.robox 3.free robux

Step-by-step explanation:

robloz free robuz

Answer:

h(x) = 2^(x) - 1.

Step-by-step explanation:

Let's look at each equation:

f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.

g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing

h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing

Answer:

4 horas para compatir com su familia

The osculating circle of the helix defined by y = x^3 - 3x + 1 at x = 1 has a center at (1, -1) and a radius of 1/6.

To determine the osculating circle of the helix defined by y = x^3 - 3x + 1 at x = 1, we need to find the center and radius of the osculating circle.

First, let's find the derivatives of the function y = x^3 - 3x + 1 with respect to x:

y' = 3x^2 - 3

y'' = 6x

Next, we evaluate the derivatives at x = 1 to find the slope and curvature of the helix at that point:

y'(1) = 3(1)^2 - 3 = 0

y''(1) = 6(1) = 6

The slope of the helix at x = 1 is 0, which means the helix is horizontal at that point.

Now, let's find the center and radius of the osculating circle.

Since the helix is horizontal at x = 1, the osculating circle will be centered at the point (1, y(1)). We need to find the y-coordinate of the helix at x = 1:

y(1) = (1)^3 - 3(1) + 1 = -1

Therefore, the center of the osculating circle is (1, -1).

The radius of the osculating circle is given by the reciprocal of the curvature at that point:

R = 1/|y''(1)| = 1/|6| = 1/6

To know more about osculating circle refer here:

https://brainly.com/question/32525029#

#SPJ11

(a) The center of the sphere is in the first octant and is tangent to the xz-plane and to the yz-plane. This means that the center of the sphere is at a point of the form (a,b,5) where a,b≥0. The distance from the origin to the center of the sphere is  \(\sqrt{43}\), so we have \(x^{2} +x^{2} +(5-0)^{2} =43\) This gives us \(a^{2} +b^{2} =38\)

The radius of the sphere is the distance from the center of the sphere to the point where the sphere touches the xz-plane. This distance is equal to the length of the hypotenuse of a right triangle with legs of length a and b. Therefore, the radius of the sphere is \(\sqrt{a^{2}+ b^{2} } =\sqrt{38}\)

The equation of the sphere is \((x-a)^{2}+ (y-b)^{2}+ (z-5)^{2} =38\)

(b) The point where the sphere touches the xz-plane is (a,0,5). The distance between the origin and this point is \(\sqrt{a} ^{2}+\sqrt(5-0)^{2} =\sqrt{a^{2} +25}\)

Learn more about hypotenuse here:

brainly.com/question/16893462

#SPJ11

Answer:

3 is the answer because it's value only add by the 3

Answer:

a. 94 square centimeters

Step-by-step explanation: