Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for . For cylinder A , h=5 m &c=3 m, cylinder B, h=3 m & c=5 m.

Answer:

Use the graph to complete the statements.

The two variables are  

✔ bananas and days

✔ days

✔ bananas

✔ days

✔ bananas

Got it right lol uwu

The statement first "The number of bananas is the independent variable, and the cost in dollars is the dependent variable" is correct.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

here, we have,

On a coordinate plane, the points (1, 2), (2, 4), (3, 6), (4, 8), and (5, 10) are plotted.

We have:

The line goes through points (1, 0.27) and (2, 0.54).

The x-axis represents the independent variable

The y-axis represents the dependent variable.

Thus, the statement first "The number of bananas is the independent variable, and the cost in dollars is the dependent variable" is correct.

Learn more about the line graph here:

brainly.com/question/23680294

#SPJ3

A researcher conducted an independent groups t test. There were 30 participants in this study.

The number of participants in the study is given by the degrees of freedom (df) for the t-test, which is calculated as:

df = n1 + n2 - 2

where n1 and n2 are the sample sizes for the two groups being compared.

In this case, we are not given the sample sizes directly, but we are given the t-value and the degrees of freedom. We can use a t-table or a statistical software to find the p-value associated with this t-value, and then use the p-value to calculate the degrees of freedom.

Assuming a two-tailed test with a significance level of 0.05, the p-value for a t-value of 3.77 and 30 degrees of freedom is approximately 0.001. This means that the probability of observing a t-value of 3.77 or more extreme under the null hypothesis (that there is no difference between the two groups) is 0.001.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is a significant difference between the two groups. Therefore, we can assume that the sample sizes are reasonably large (typically, at least 20 for each group) and use the formula for degrees of freedom as:

df = n1 + n2 - 2 = 30

Therefore, there were 30 participants in this study.

Learn more about t test at https://brainly.com/question/13750626

#SPJ11

Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

2x-4y=10

4x-4y=4

distribute first equation by -2 to eliminate x-values:

 -4x + 8y = -20

+ 4x - 4y = 4

4y = -16

y = -4

solve for 'x':

2x - 4(-4) = 10

2x + 16 = 10

2x = -6

x = -3

The solution for the given system of equations is x = -3 and y = -4.

A linear equation is defined as an equation in which the highest power of the variable is always one.

This is a system of linear equations in two variables, x and y.

The first equation is:

2x - 4y = 10

The second equation is:

4x - 4y = 4

You can solve one of the equations for one of the variables, and then substitute that expression into the other equation.

From the first equation:

2x - 4y = 10

2x = 4y + 10

x = 2y + 5

Substitute this expression of x in the second equation,

4(2y+5) - 4y = 4

8y + 20 - 4y = 4

4y = -16

y = - 4

Now, substitute this value of y in x = 2y + 5

x = 2 × -4 + 5

x = - 3

Hence, the solution for the system of equations is x = -3 and y = -4.

Learn more about the Linear equations here:

brainly.com/question/13738061

#SPJ2

The value of the given expression, 67π × 7, is 1473.4

From the question, we are to determine the value of the given expression.

From the given information,

The given expression is

67π × 7

To determine the value of the expression, we will evaluate the expression step-wisely.

Evaluate 67π

67π = 210.4867

Multiply by 7

210.4867 × 7

= 1473.4069

≈ 1473.4

Hence, the value is 1473.4

Learn more on Evaluating an expression here: https://brainly.com/question/4344214

#SPJ1

The point (180, -19) is on the terminal side of the angle θ, the exact values of the trigonometric functions are sin(θ) = -19/181, cos(θ) = 180/181, and tan(θ) = -19/180.

Since the point (180, -19) is on the terminal side of the angle θ, we can calculate the trigonometric functions using the coordinates.
First, find the distance from the origin to the point (180, -19). This distance will represent the hypotenuse (r) of the right triangle formed by the terminal side. Use the Pythagorean theorem:
r = √(x^2 + y^2) = √(180^2 + (-19)^2) = √(32400 + 361) = √(32761) = 181
Now that we have the hypotenuse (r), we can find the exact values of the trigonometric functions for the angle θ using the coordinates:
sin(θ) = y/r = -19/181
cos(θ) = x/r = 180/181
tan(θ) = y/x = -19/180
So, given that the point (180, -19) is on the terminal side of the angle θ, the exact values of the trigonometric functions are sin(θ) = -19/181, cos(θ) = 180/181, and tan(θ) = -19/180.

Learn more about exact value here, https://brainly.com/question/30695546

#SPJ11

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

The given equation is R(di/dt)+L(d²i/dt²)+(1/C)i = dV/dt.

The block diagram is an essential tool in the analysis and design of dynamic systems. The blocks represent the interconnected subsystems of the system.

The interconnections and external inputs and outputs are shown by the connections between the blocks.The block diagram representation of the equation R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt is given below.

Therefore, the block diagram representation of the given equation is as follows:

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

To know more about linear ODE, visit:

https://brainly.com/question/29191288

#SPJ11

Answer:

sin^2(45) = (√2/2)^2 = 1/2

Step-by-step explanation:

sin2x = sin2 * x = 0.909x

sin(2(45)) = sin90 = 1

Hope this helps.

Answer:

The answer to this is \(\frac{1}{2}\)

Step-by-step explanation:

I did the assignment, hope it helps! :)

Answer:

I think the answer is (0,2)

Answer:

1) \((-10,10)\) - Greater than -10 and less than 10.

2) \([-10, 10]\) - Greater than or equal to -10 and less than or equal to 10.

3) \([-10, 10)\) - Greater than or equal to -10 and less than 10.

4) \((-10, 10]\) Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) \((-10,10)\) - Greater than -10 and less than 10.

2) \([-10, 10]\) - Greater than or equal to -10 and less than or equal to 10.

3) \([-10, 10)\) - Greater than or equal to -10 and less than 10.

4) \((-10, 10]\) Greater than -10 and less than or equal to 10.

In order to determine the equation of the line tangent to the graph of h at a certain point, let us differentiate h. For this problem, we will need to use the chain rule. We have to substitute the function of the variable `t`, which is `a`, into the integral. Option (С) is the correct answer.

The function h is given as follows: `h(a) = L.si sin’t dt`.

In order to determine the equation of the line tangent to the graph of h at a certain point, let us differentiate h. For this problem, we will need to use the chain rule. We have to substitute the function of the variable `t`, which is `a`, into the integral. Thus, the differentiation is as follows:

h’(a) = d/dx[L.si sin’t dt] = L.si d/dx[sin’t] dt = L.si cos(t) dt.

Therefore, the equation for the tangent line at the point where `a` is equal to `a` is `y - h(a) = h’(a)(x - a)`. Substituting the given value of `h’(a)` yields: `y - h(a) = L.si cos(t) dt (x - a)`.

Since we are looking for the equation of the tangent line, we must choose an `a` value. For example, let `a = 0`. Thus, `h(0) = L.si sin’t dt` which is `0`. Therefore, the equation of the tangent line at the point `(0,0)` is `y = 0`, so the answer is `y = 0`. Thus, option (С) is the correct answer.

To know more integral visit: https://brainly.com/question/31059545

#SPJ11

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ1

The rate of change of distance for the submarine is given by 11 feet/sec.

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

To know more about slope of straight line click on,

https://brainly.com/question/17028638

#SPJ2

Answer:

c = 0

Step-by-step explanation:

Step 1: Write equation

15 - 5(4c - 7) = 50

Step 2: Solve for c

Step 3: Check

Plug in c to verify it's a solution.

15 - 5(4(0) - 7) = 50

15 - 5(-7) = 50

15 + 35 = 50

50 = 50

The Probability that 4 games will be played in total and determine the likelihood that b will win the game are 2[(p³(1-p) + p(1-p)³] and p² / [p² + (1-p)²]

Given that,

A and B engage in a number of games. A and B each win a game with a probability of p and 1-p, respectively. They come to an end when one player has two more victories overall than the other player. The contest is decided by whoever player has accrued the most victories overall.

To find : The Probability that 4 games will be played in total and determine the likelihood that b will win the game.

Determine first which exact order of wins causes games.

The first game is won by A: B triumphs in game two ( if A wins again, Awon and the game is over)A or B might win the following two games to give themselves a two-game lead equivalently in the scenario if B triumphs in game one.

The ordering can be ABAA, ABBB, BAAA, or BABB.

P(4 games  precisely) = P(ABAA) + P(ABBB) + P(BAAA)+ P(BABB)

P(4 games  precisely)  = 2[(p³(1-p) + p(1-p)³]

The likelihood that b will win the game is therefore 2[(p3(1-p) + p(1-p)3] and the probability that 4 games will be played overall. as well as p2 / [p2 + (1-p)2]

To learn more about Probability click here :

brainly.com/question/11234923

#SPJ4

In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ1

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

To know more about Demand Matrix here

https://brainly.com/question/13012912

#SPJ4

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

9514 1404 393

Answer:

  25%

Step-by-step explanation:

The percentage is found by multiplying the fraction by 100%.

  (oil changes)/(total cars) = 14/56 × 100% = 25%

25% of the cars received oil changes.

Answer:

B

Step-by-step explanation:

(3,0)

The first coordinate is x, so go over 3

The second coordinate is y so go up 0

Answer:

lts answer is B

Step-by-step explanation:

3 is x-axis and o is y -axis

Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

The number of people who will purchase only a car is 28.

To find the number of people who will purchase only a car, we need to subtract the number of people who will purchase both a major appliance and a car from the total number of people who indicated they would buy a car.

Let's denote:

A = Number of people buying a major appliance (156)

C = Number of people buying a car (37)

B = Number of people buying both a major appliance and a car (9)

To find the number of people buying only a car, we subtract the number of people buying both from the total number of people buying a car:

Number of people buying only a car = C - B

Plugging in the values:

Number of people buying only a car = 37 - 9 = 28

LEARN MORE ABOUT number here: brainly.com/question/3589540

#SPJ11

Answer:

C = n + 2

Step-by-step explanation:

Well looking at the line on the graph we can see that the y intercept is 2 because the y intercept is the point in the line that touches the y axis.

And the slope is how fat away each points are from each other on a line so we can find the slope by using two points on the line, we can use (1,3) and (2,4).

So we set up the formula like this \(\frac{y^2-y^1}{x^2-x^1}\).

And now we gotta plug in the numbers and solve so the answer is 4-3 = 1 and 2-1 = 1 so the slope is 1.

And we can’t write that as just n.

So the answer is C = n + 2.

For proof look at the image below.

Answer:

B, C=n+1

Step-by-step explanation:

Rlly late answer lol, the slope of the equation is 1 so it must be

C=n+b b is the y intercept, the y intercept is (0,2)

So the answer is C=n+1

Answer:

29

Step-by-step explanation:

AB+BC=AC

12+17=29=AC

Answer: 0.29

Step-by-step explanation: To get the answer, all we have to do is divide.

2 ÷ 7 = 0.285

Rounding to the nearest hundredth and you'll get 0.29

I hope this helps!

Calculating the likelihood of experiments happening is one of the branches of mathematics named as probability. The probability that none of the 2 vials have hairline cracks is 0.0565.

The study of probabilities, which exists defined by the ratio of favorable occurrences to probable cases, exists comprehended as probability.

The probability that there won't be any hairline cracks = 13/53

If you choose two vials at random from the delivery

Probability (avoiding hairline cracks) = 13 - 1/53 - 1

Probability (avoiding hairline cracks) = 12/52

To find the chance that neither of the two vials has a hairline crack is

(13/53) × (12/52) = 0.2452 × 0.2307

= 0.0565

The probability that none of the 2 vials have hairline cracks is 0.0565

To learn more about probability, refer to:

https://brainly.com/question/13604758

#SPJ4

Answer:

If it is not one-to-one, it does not have an inverse.

Step-by-step explanation:

If the output has more than 1 input, it cannot possibly be a function, meaning there is no inverse for that function.

The probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

To solve this problem, we first need to find the expected number of people who will show up on the flight. Since the airline estimates that 96% of people booked will actually show up, we can estimate that 0.96 x 70 = 67.2 people will show up.

Next, we need to find the probability that the number of people who show up will exceed the capacity of the plane, which is 65. To do this, we can use the normal distribution with a mean of 67.2 and a standard deviation of √(70 x 0.96 x 0.04) = 1.63.

We want to find the probability that the number of people who show up is greater than 65. To do this, we can standardize the value of 65 using the formula z = (x - mu) / sigma, where x is the value we want to standardize (65), mu is the mean (67.2), and sigma is the standard deviation (1.63).

z = (65 - 67.2) / 1.63 = -1.35

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -1.35 is 0.0885. Therefore, the probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

Learn more about normal distribution here: https://brainly.com/question/26678250

#SPJ11

Answer:

\(7x^2-x\)

Step-by-step explanation:

Why urgent?

See attachment for math work and answer.

I gave you two different answers for 2b.