An employee started a new job and must enroll in a new family health insurance plan. One of the plans involves prescription drug coverage. The
employee estimates that the entire family will fill 10 prescriptions per month, totaling $1,250. The employee has two options to choose from:
Option A: $75 monthly premium; 80% coverage for all prescription costs
Option B: $45 monthly premium; 75% coverage for first $600 in prescription costs, then 85% coverage for all prescription costs over $600
Which option would result in the highest overall cost for the employee, and by how much?
O Option A has the highest overall cost by $77.50.
Option B has the highest overall cost by $77.50.
O Option A has the highest overall cost by $32.50.
O Option B has the highest overall cost by $32.50.

The height of the smallest tank if the larger is 300cm tall will be 240cm.

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

We can utilize scale factors because the tanks have comparable shapes.

The scale factor for volume will be given as,

The volume of small tank/volume of big tank = 512000/1000000 = 0.512

Since volume, if the cube so,

Scale factor = \((0.512)^{1/3}\) = 0.8

With this scale factor the height of the smaller tank = 300 x 0.8 = 240cm

To learn more about similarities,

https://brainly.com/question/23620710

#SPJ2

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

To learn more about Central tendency, refer:

https://brainly.com/question/1288901

#SPJ4

Step-by-step explanation:

This construction bisects the pqr angle.

This is done by placing a compass on the pqr angle and marking construction lines at the points c and a.

Then at where the construction lines at points c and a meet the lines qr and qp draw 2 more from that placement.

Then draw a line running through angle pqr and where the construction lines meet at point b.

Hope this helps and good luck!

Answer:

2144

formula us v = 3/4 × pi × half of the diameter (radius)

The value of the integral C1 and C2 are below:

∫[C1] (y + x – 4ix³) dz = -1/2 + 4/3 i

∫[C2] (y + x – 4ix³) dz = 0

To evaluate the integral, we need to parameterize the given contour C and express it as a function of a single variable. Then we substitute the parameterization into the integrand and evaluate the integral with respect to the parameter.

Let's evaluate the integral along contour C1: the straight line from Z = 0 to Z = 1 + i.

Parameterizing C1:

Let's denote the parameter t, where 0 ≤ t ≤ 1.

We can express the contour C1 as a function of t using the equation of a line:

Z(t) = (1 - t) ×0 + t× (1 + i)

= t + ti, where 0 ≤ t ≤ 1

Now, we'll calculate the differential dz/dt:

dz/dt = 1 + i

Substituting these into the integral:

∫[C1] (y + x – 4ix³) dz = ∫[0 to 1] (Im(Z) + Re(Z) - 4i(Re(Z))³)(dz/dt) dt

= ∫[0 to 1] (t + 0 - 4i(0)³)(1 + i) dt

= ∫[0 to 1] (t + 0)(1 + i) dt

= ∫[0 to 1] (t + ti)(1 + i) dt

= ∫[0 to 1] (t + ti - t + ti²) dt

= ∫[0 to 1] (2ti - t + ti²) dt

= ∫[0 to 1] (-t + 2ti + ti²) dt

Now, let's integrate each term:

∫[0 to 1] -t dt = [-t²/2] [0 to 1] = -1/2

∫[0 to 1] 2ti dt = \(t^{2i}\)[0 to 1] = i

∫[0 to 1] ti² dt = (1/3)\(t^{3i}\) [0 to 1] = (1/3)i

Adding the results together:

∫[C1] (y + x – 4ix³) dz = -1/2 + i + (1/3)i = -1/2 + 4/3 i

Therefore, the value of the integral along contour C1 is -1/2 + 4/3 i.

Let's now evaluate the integral along contour C2: along the imaginary axis from Z = 0 to Z = i.

Parameterizing C2:

Let's denote the parameter t, where 0 ≤ t ≤ 1.

We can express the contour C2 as a function of t using the equation of a line:

Z(t) = (1 - t)× 0 + t × i

= ti, where 0 ≤ t ≤ 1

Now, we'll calculate the differential dz/dt:

dz/dt = i

Substituting these into the integral:

∫[C2] (y + x – 4ix³) dz = ∫[0 to 1] (Im(Z) + Re(Z) - 4i(Re(Z))³)(dz/dt) dt

= ∫[0 to 1] (0 + 0 - 4i(0)³)(i) dt

= ∫[0 to 1] (0)(i) dt

= ∫[0 to 1] 0 dt

= 0

Therefore, the value of the integral along contour C2 is 0.

In summary:

∫[C1] (y + x – 4ix³) dz = -1/2 + 4/3 i

∫[C2] (y + x – 4ix³) dz = 0

Learn more about integral here:

https://brainly.com/question/31059545

#SPJ11

Answer:

-13.375 is the answer

Answer:

A ray is a portion of a line. It includes one point on the line, the endpoint of the ray, and all the points of the line in only one direction.

The endpoint of a ray is the staring point of the ray.

Answer:

ST = 9

Step-by-step explanation:

ST + TU = SU , substitute values

ST + 11 = 20 ( subtract 11 from both sides )

ST = 9

Answer: ST = 9

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 11

SU = 20

Given expression deducted from the segment addition postulate

ST + TU = SU

Substitute values into the expression

ST + 11 = 20

Subtract 11 on both sides

ST + 11 - 11 = 20 - 11

\(\boxed{ST =9}\)

Hope this helps!! :)

Please let me know if you have any questions

The length of a pendulum with a period of 2 seconds is approximately 51.

the formula for the period of a simple pendulum as a function of its length is given as:

t(l) = 2π √(l/32.2)

we can rearrange this equation to solve for l:

t(l) = 2π √(l/32.2)

t(l)/(2π) = √(l/32.2)

[t(l)/(2π)]² = l/32.2

l = 32.2 * [t(l)/(2π)]²

to determine the length of a pendulum with a period of 2 seconds, we can substitute t = 2 seconds into the equation above:

l = 32.2 * [2/(2π)]²

l = 32.2 * [1.2732]²

l ≈ 51.92 feet 92 feet when π is taken to be 3.14 and rounding to the nearest hundredth.

Learn more about pendulum here:

 https://brainly.com/question/29268528

#SPJ11

In the given equation y = 0.25x + 2, 0.25 represents (A) the daily growth of the plant.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example.

There are many different types of equations, including linear, quadratic, cubic, and others.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So, the given equation is:

y = 0.25x + 2

Where x is the days and y is the height.

Now, if we observe the equation, 2 is the height of the plant on day one from where the recording started.

we already know that x is the day and y is the height.

Then, 0.25 will be the growth of the plant each day.

Therefore, in the given equation y = 0.25x + 2, 0.25 represents (A) the daily growth of the plant.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

A hypothesis is a statement regarding a characteristic of one or more populations. The null hypothesis is a statement of no change, no effect, or no difference. The alternative hypothesis is a statement we are trying to find evidence to support.

Generally, the null hypothesis expresses that there is no change, no difference, no effect, and in another way, no relationship between the independent and dependent variables. Because we are hypothesizing that nothing is happening, then it is called the null hypothesis.

The null and alternative hypothesis are two conflicting claims which researchers weigh evidence for and against using a statistical test. Null hypothesis (H0) means there is no effect in the population. Meanwhile, alternative hypothesis (Ha or H1) means there is an effect in the population.

Learn more about null and alternative hypothesis at: https://brainly.com/question/28214949

#SPJ4

The surface described by the equation 4x² + y² = 4 is an ellipse with a center at (0, 0), a major axis length of 4, and a minor axis length of 2.

1. First, let's rewrite the equation in the standard form of an ellipse: (x² / (4/4)) + (y² / (4/1)) = 1, which simplifies to (x² / 1) + (y² / 4) = 1.

2. Now we can identify the major and minor axes:
- The major axis is along the y-axis since 4 is greater than 1. Its length is 2 × √4 = 4.
- The minor axis is along the x-axis with a length of 2 × √1 = 2.

3. Next, we find the center of the ellipse. In this case, it's at the origin (0, 0).

4. Finally, let's sketch the ellipse:
- Draw the x and y-axes.
- Mark the center at (0, 0).
- Plot the points along the major axis at (0, ±2).
- Plot the points along the minor axis at (±1, 0).
- Connect the points to form an ellipse, making sure the curve is wider along the y-axis and narrower along the x-axis.

You can learn more about ellipses at: brainly.com/question/14281133

#SPJ11

Jazzlen's claim that over 50 of the 400 students have likely traveled outside the United States appears to be correct. The estimated number of students who have likely traveled is 56, which is greater than 50.

To determine whether Jazzlen's claim is correct, we need to analyze the information provided.

Jazzlen surveyed 50 students and found that 7 of them have traveled outside the United States. However, she is extrapolating this data to make a claim about the entire grade of 400 students.

If we assume that the 50 students she surveyed are representative of the entire grade, we can use this information to estimate the number of students in the grade who have likely traveled outside the United States.

Since 7 out of 50 students surveyed have traveled outside the United States, we can calculate the proportion or percentage of students who have traveled based on this sample. The proportion is calculated by dividing the number of students who have traveled (7) by the total number of students surveyed (50):

Proportion = 7/50 = 0.14

To estimate the number of students in the grade who have likely traveled, we can multiply the proportion by the total number of students in the grade:

Estimated number of students who have likely traveled = Proportion × Total number of students

= 0.14 × 400

= 56

According to this estimation, Jazzlen's claim that over 50 of the 400 students have likely traveled outside the United States appears to be correct. The estimated number of students who have likely traveled is 56, which is greater than 50.

However, it's important to note that this estimation is based on the assumption that the 50 students Jazzlen surveyed are representative of the entire grade. If the sample is not representative, the estimation may not be accurate. Additionally, this estimation does not provide certainty about the exact number of students who have traveled outside the United States; it only provides an estimate based on the sample data.

For such more questions on Estimating Students Who Traveled

https://brainly.com/question/30697261

#SPJ11

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = \(\frac{1}{2}\) × 12 × 20 = 6 × 20 = 120 cm²

Answer:

27 is the answer to the question

Step-by-step explanation:

4(6)+3=24+3=27

The 3 things, I noticed about parabola is given below.

A parabola is a curve drawn in a plane.

Where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix)

We have a parabola.

From the graph of parabola:

1). The vertex of the parabola = (2, -5)

2). And the y-intercept = (0, 7)

3). The curve passes through (1, 2) and (3, 2).

Therefore, all the three points are given above.

To learn more about parabola;

https://brainly.com/question/21685473

#SPJ1

The length of the base of the triangle is √(2)/6, which can also be expressed as (√(2))/6.

In this case, we know the area (1/12 square centimeters), but we don't know the height or the base. However, we can use the fact that the area is equal to 1/2 times the base times the height to set up an equation:

1/12 = 1/2 x base x height

Now we need to solve for the base. We can do this by isolating the base on one side of the equation:

1/12 = 1/2 x base x height

1/6 = base x height

At this point, we need to make an assumption about the triangle.

We can use the Pythagorean theorem to solve for the length of h:

h² + (base/2)² = (base)²/4

Simplifying this equation, we get:

h² = (base)²/4 - (base)²/4

h² = (base)²/2

h = √((base)²/2)

h = base/√(2)

Now we can substitute this expression for h into our equation for the area:

1/6 = base x height

1/6 = base x (base/√(2))

Simplifying this equation, we get:

1/6 = (base²)/√(2)

Multiplying both sides by √(2), we get:

√(2)/12 = base²

Taking the square root of both sides, we get:

base = √(√(2)/12)

Simplifying this expression, we get:

base = √(2)/6

To know more about triangle here

https://brainly.com/question/8587906

#SPJ1

Step-by-step explanation:

(-3)^5 = 1/x

x = 1 ÷ (-3)^5

x = 1/ -243

x = -1/243

The terms through degree four of the Maclaurin series is \(f(x)=x+x^{2} +\frac{5x^{3} }{6} +\frac{5x^{4} }{6} +.....\).

In this question,

The function is f(x) = \(\frac{sin(x)}{1-x}\)

The general form of Maclaurin series is

\(\sum \limits^\infty_{k:0} \frac{f^{k}(0) }{k!}(x-0)^{k} = f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} +\frac{f'''(0)}{3!}x^{3}+......\)

To find the Maclaurin series, let us split the terms as

\(f(x)=sin(x)(\frac{1}{1-x} )\) ------- (1)

Now, consider f(x) =  sin(x)

Then, the derivatives of f(x) with respect to x, we get

f'(x) = cos(x), f'(0) = 1

f''(x) = -sin(x), f'(0) = 0

f'''(x) = -cos(x), f'(0) = -1

\(f^{iv}(x)\) = cos(x), f'(0) = 0

Maclaurin series for sin(x) becomes,

\(f(x) = 0 +\frac{1}{1!}x +0+(-\frac{1}{3!} )x^{3} +....\)

⇒ \(f(x)=x-\frac{x^{3} }{3!} +\frac{x^{5} }{5!}+.....\)

Now, consider \(f(x) = (1-x)^{-1}\)

Then, the derivatives of f(x) with respect to x, we get

\(f'(x) = (1-x)^{-2}, f'(0) = 1\)

\(f''(x) = 2(1-x)^{-3}, f''(0) = 2\)

\(f'''(x) = 6(1-x)^{-4}, f'''(0) = 6\)

\(f^{iv} (x) = 24(1-x)^{-5}, f^{iv}(0) = 24\)

Maclaurin series for (1-x)^-1 becomes,

\(f(x) = 1 +\frac{1}{1!}x +\frac{2}{2!}x^{2} +(\frac{6}{3!} )x^{3} +....\)

⇒ \(f(x)=1+x+x^{2} +x^{3} +......\)

Thus the Maclaurin series for \(f(x)=sin(x)(\frac{1}{1-x} )\) is

⇒ \(f(x)=(x-\frac{x^{3} }{3!} +\frac{x^{5} }{5!}+..... )(1+x+x^{2} +x^{3} +......)\)

⇒ \(f(x)=x+x^{2} +x^{3} - \frac{x^{3} }{6} +x^{4}-\frac{x^{4} }{6} +.....\)

⇒ \(f(x)=x+x^{2} +\frac{5x^{3} }{6} +\frac{5x^{4} }{6} +.....\)

Hence we can conclude that the terms through degree four of the Maclaurin series is \(f(x)=x+x^{2} +\frac{5x^{3} }{6} +\frac{5x^{4} }{6} +.....\).

Learn more about Maclaurin series here

https://brainly.com/question/10661179

#SPJ4

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

Answer:

E

Step-by-step explanation:

length times width

6 x 9 = 54

Answer:

2 \(\frac{1}{10}\)

Step-by-step explanation:

.10

change it to 10/100

reduce by 10

1/10

Answer: 2 1/10

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.

2 1/10

Answer:

20/19

Step-by-step explanation:

\(\frac{20--20}{20--18} =\frac{40}{38}= \frac{20}{19}\)

The term ((fx - fa)/(x-a)) represents the slope of a secant line between two points on a function. This slope can be used to approximate the derivative of the function at point A.

To use the expression ((fx - fa)/(x-a)), you need to understand that it represents the average rate of change of a function f(x) over the interval [a, x]. In this context, f(x) and f(a) are the function's values at the points x and a, respectively. The expression helps in finding the slope of the secant line that connects the two points on the graph of the function. Simply plug in the values for f(x), f(a), x, and an into the expression to calculate the average rate of change over the given interval.

The term ((fx - fa)/(x-a)) represents the slope of a secant line between two points on a function. To use it, you would first choose two points on a function, let's call them to point A and point B. Point A has coordinates (a, fa) and point B has coordinates (x, fx). Then, you would substitute these values into the formula ((fx - fa)/(x-a)) to find the slope of the secant line between these two points. This slope can be used to approximate the derivative of the function at point A.

Learn more about slope here: brainly.com/question/3605446

#SPJ11

The fractions of flour does she have left in the end is 1/2.

What is Fraction?

The number which is expressed as a quotient, in which the numerator is divided by the denominator, is called a Fraction.

Since, Zara bought a bag of flour.

She used 5/7 of it to make pancakes.

So, Remainder flour after making pancakes = 1 - 5/7

                                                                   = (7 - 5) / 7

                                                                   = 2/7

And, She used 3/4 of the remainder to bake a cake.

Hence, For bake a cake = 3/4 * 2/7

                                      = 6/28

                                      = 3/14

So, The remaining flour = 1 - ( 2/7 + 3/14)

                                    = 1 - 7/14

                                    = 1 - 1/2

                                    = 1/2

Hence, The fractions of flour does she have left in the end is 1/2.

Learn more about the fraction visit:

https://brainly.com/question/27903912

#SPJ1

Based on the information, we can infer that Lin's graph has an error because each fragment must equal 35 pages and not 55.

To identify and explain Lin's error, we must take into account how many pages the book has. In this case there are 175 pages, if Andre says that he has read 1/5 of the book we must divide the total number of pages by 5 to find out how many pages Andre has read.

So if Andre has read 1/5, he has read 35 pages and Elena will have read 55 pages. Due to the above, the error in Lin's graph is that each of the segments that divide the total pages into 5 has the wrong value because each one should equal 35 and the fragment that Elena read must take a complete segment and part of another

Learn more about fractions at: https://brainly.com/question/10354322

#SPJ1

The PDF of X – Y can be found by using the convolution formula. First, we need to find the PDF of X+Y. Since X and Y are independent, the joint PDF can be found by multiplying the individual PDFs. Then, by using the convolution formula, we can find the PDF of X – Y.

Let fX(x) and fY(y) be the PDFs of X and Y, respectively. Since X and Y are independent, the joint PDF is given by fXY(x,y) = fX(x) * fY(y), where * denotes the convolution operation.

To find the PDF of X+Y, we can use the change of variables technique. Let U = X+Y and V = Y. Then, we have X = U-V and Y = V. The Jacobian of the transformation is 1, so the joint PDF of U and V is given by fUV(u,v) = fX(u-v) * fY(v).

Using the convolution formula, we can find the PDF of U = X+Y as follows:

fU(u) = ∫ fUV(u,v) dv = ∫ fX(u-v) * fY(v) dv

= ∫ fX(u-v) dv * ∫ fY(v) dv

= e^(-u) * [1 - e^(-M u)]

where M is the parameter of the exponential distribution for Y.

Finally, using the convolution formula again, we can find the PDF of X – Y as:

fX-Y(z) = ∫ fU(u) * fY(u-z) du

= ∫ e^(-u) * [1 - e^(-M u)] * Me^(-M(u-z)) du

= M e^(-Mz) * [1 - (1+Mz) e^(-z)]

The PDF of X – Y can be found using the convolution formula. We first find the joint PDF of X+Y using the independence of X and Y, and then use the convolution formula to find the PDF of X – Y. The final expression for the PDF of X – Y involves the parameters of the exponential distributions for X and Y.

To know more about convolution formula visit:

https://brainly.com/question/31397087

#SPJ11

Answer:

Step-by-step explanation:

Cubic centimeters is multiplying by another dimension which means volume. Squared centimeters means area.

Answer: yes

Step-by-step explanation:

yes

Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (\(\sqrt[3]{(3V / (4\pi )}\)))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = (\(\sqrt[3]{(3 * 26667 / (4\pi )))}\)

Calculating this expression, we find:

r ≈ (\(\sqrt[3]{80001 / \pi ))}\) ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

For more such information on: volume

https://brainly.com/question/463363

#SPJ8