Kathy has to write a 40 page report for her research class. She plans to write 8 pages in 4/7 week. She has 3 weeks to finish her report. Will she finish her report on time?

The question that can be answered by finding 4 1/2 ÷ 1/4 is this:

C. You are buying 1/4 pound containers of fruits at the store. How many containers do you need to buy to have 4 1/2 pounds of fruit?

The expression that is best represented by the question is statement C. Here, we are told to find how many containers we need to buy 4 1/2 pounds of fruit.

Let's assign the figure x to the number of containers we are to find. So,

1/4x = 4 1/2

Divide both sides by 1/4 to find x

x = 4 1/2 ÷ 1/4

Option C is the right answer.

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Based on the fact that the iron ball of 80 pounds has 8 inches in diameter., the iron ball with 12 inches would weigh 120 pounds

The weight of the iron ball can be found by the formula:

= (Diameter of target iron ball x Weight of referrent iron ball) / Diameter of referent iron ball

Solving gives:

= (12 x 80) / 8

= 960 / 8

= 120 pounds

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Answer: f = 12.5

Step-by-step explanation:

\(f = \frac{25}{2} \\decimal form = 12.5\\ mixed fraction form 12 \frac{1}{2}\)

The combined mass of Kylie's quarters is 11.863 g.

The quarter, also known as one-fourth is an English units based on ¼ sizes of some base unit.

To get combined mass of Kylie's quarters, we will add the mass of the modern quarter and the mass of the older silver quarter together.

The combined mass of Kylie's quarters is:

= 5.623 g + 6.24 g

= 11.863 g

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The correct steps that best describe the scientific method are:

The scientific method has five basic steps, plus one feedback step:

The scientific method is a systematic approach to scientific inquiry that involves a series of steps used to investigate, test, and understand natural phenomena

The process of the scientific method involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments or empirical observations based on those predictions.

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Answer:

it's 5.5

Step-by-step explanation:

4 4 4 5 5 6 6 6 6 9

you start crossing them off from both ends so

455666

5 6

so you get what is in the middle of those 2

5.5

Answer:

The answer is 5.5

Step-by-step explanation:

To find the median, you must put all the numbers in order from smallest to highest so:

4, 4, 4, 5, 5, 6, 6, 6, 6, 9

Now you pick the middle number. The middle number is the center of the set of data and has equal numbers on both sides.

Unfortunately we have a even number so there is no true center number. We must find the two center numbers and find the average.

The center numbers are 5 and 6.

5 + 6 = 11

11/2 = 5.5

The answer is 5.5

The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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The total cost for the two bags of clay, before the tax, is 49 dollars.

We know that the first bag of clay costs $28 and the second bag costs 25% less than the first bag.

if we apply a discount of 25%, then we need to multiply the price by (1 - 0.25) = 0.75

Then the total cost of the two bags of clay is given by:

$28 + $28*(0.75)

Where the discount is only applied to the second bag, then we get:

$28 + $28*(0.75) = $49

The total cost is 49 dollars.

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The probability of getting a result as extreme or more extreme than 8 heads in one flip of 10 unbiased coins is 0.0547.

To solve the problem, we can use the binomial probability formula:

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

where X is the number of heads obtained in the flip of 10 coins.

Using the binomial probability formula, we can calculate:

P(X = 8) = (10 choose 8) * (0.5)^10 ≈ 0.044

P(X = 9) = (10 choose 9) * (0.5)^10 ≈ 0.0098

P(X = 10) = (10 choose 10) * (0.5)^10 ≈ 0.00098

Therefore,

P(X ≥ 8) = 0.044 + 0.0098 + 0.00098 ≈ 0.0547

Thus, the probability of getting a result as extreme or more extreme than 8 heads in one flip of 10 unbiased coins is approximately 0.0547. Therefore, the correct answer is option A.

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The 90% confidence interval for the class is [73.49, 76.51].

Confidence interval is defined as the range of values where a parameter might fall at a given confidence level. It can be calculated using the formula below.

CI = μ ± z x SD/√n

where CI = confidence interval

μ = sample mean = 75

z = found by using a z-score table

SD = sample standard deviation = 5

n = sample size = 30

At 90% confidence level, the area in each tail of the standard normal curve is 5, and the cumulative area up to the second tail is 95.

(100 - 90) / 2 = 5

100 - 5 = 95

Find 0.95 in the z-table to get the value of z.

At p = 0.95, z = 1.65

Plug in the values to the formula for confidence interval, CI.

CI = μ ± z x SD/√n

CI = 75 ± 1.65 x 5/√30

CI = 75 ± 1.51

CI = [73.49, 76.51]

Hence, for every 100 samples, at 90% confidence level, the mean will be between 73.49 and 76.51.

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Your Answer is $0.5 or 1/2

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer: 8x + 6

Step-by-step explanation: Multiply the like terms. 4x times 2x is 8x, and 2 times 3 is 6. That equals 8x+6

Answer:

2. c

3.

a. no

b. yes

c. yes

d. no

e. yes

I think this is right

4.

Part A;

5.4-3.1=D

Part B;

4.9+3.1=t

Part C:

1. 2.3

2. 8

I hope this helps!!!

Step-by-step explanation:

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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Answer:

5.2

Step-by-step explanation:

1.3, 1.9, 4.9, 4.9, 5.5, 8.4, 8.7, 9.4

the median is the middle number, so it would be in between 4.9 and 5.5

the answer is 5.2

Answer:

Median is 5.2

Step-by-step explanation:

Median is the middle number when everything is in order

8.4, 4.9, 1.9, 1.3, 8.7, 9.4, 4.9, 5.5

--->

1.3, 1.9, 4.9, 4.9, 5.5, 8.4, 8.7, 9.4

Since there are two middle numbers we need the middle of those two

(4.9 + 5.5) / 2 = 5.2

Answer:

6m 67cm

Step-by-step explanation:

Answer:

the answer is True (explanation below) your current answer is incorrect the equation does have No Solution.

Step-by-step explanation:

The equation has no solution because when you simplify the equation as much as possible, we are left with 2=-2. However, 2=-2 is not true, so there is no answer to this equation.

Answer:

Step-by-step explanation:

\(\frac{1}{4}\)X - 4 = \(\frac{3}{4}\)X + 2

Note that there is no "Y" in this equation.  I suspect that the first  "X" is supposed to be a "Y" . There has to be a "Y" in the equation to make this a graphable equation.  If there is only an "X" there is no "Y" output, this is no longer a function and would not be placed on a graph.   Note,  writing and reading math questions is hard, and must be done carefully.    I'm writing what I suspect that question really is

\(\frac{1}{4}\)Y - 4 = \(\frac{3}{4}\)X + 2

\(\frac{1}{4}\)Y =  \(\frac{3}{4}\)X + 2 + 4

\(\frac{1}{4}\)Y = \(\frac{3}{4}\)X + 6

4*\(\frac{1}{4}\)Y = 4 * ( \(\frac{3}{4}\)X + 6 )

Y = 3x + 24

now we can graph this.

I'll use Desmos,  it's a free on line graphing tool

x,y,z=(smaller z-value)=(-56/3, -32/3, 16/3)

x,y,z=(larger z-value)=(56/3, 32/3, -16/3)

These are the points on the cone that are closest to the point (14, 8, 0).

In a two-dimensional space, a point is defined by two coordinates, typically denoted by (x, y), where x represents the horizontal position, and y represents the vertical position. In a three-dimensional space, a point is defined by three coordinates, typically denoted by (x, y, z), where x, y, and z represent the horizontal, vertical, and depth positions, respectively.

We want to minimize the distance between the point (14, 8, 0) and the surface of the cone defined by the equation z² = x² + y², subject to the constraint that we stay on the surface of the cone.

Let f(x,y,z) = (x-14)² + (y-8)² + z² be the function we want to minimize subject to the constraint g(x,y,z) = z² - x² - y² = 0.

The Lagrange multiplier method involves finding the critical points of the function L(x,y,z,λ) = f(x,y,z) - λg(x,y,z), where λ is the Lagrange multiplier.

So we have:

L(x,y,z,λ) = (x-14)² + (y-8)² + z² - λ(z² - x² - y²)

Taking the partial derivatives with respect to x, y, z, and λ, and setting them equal to zero, we get the following system of equations:

2(x-14) + 2λx = 0

2(y-8) + 2λy = 0

2z - 2λz = 0

z² - x² - y² = 0

The third equation simplifies to z(1-λ) = 0, which gives us two possibilities:

Case 1: z = 0

In this case, the fourth equation becomes -x² - y² = 0, which implies that x = y = 0. But this point does not lie on the surface of the cone, so it is not a valid critical point.

Case 2: λ = 1

In this case, the first two equations become x-14 = -xλ and y-8 = -yλ, which imply that x = -7λ and y = -4λ. Substituting into the fourth equation gives:

z² = x² + y² = 65λ²

To minimize the distance between the point (14, 8, 0) and the surface of the cone, we want to find the value of λ that minimizes the function f(x,y,z) subject to the constraint g(x,y,z) = 0. Substituting x = -7λ, y = -4λ, and z = √(65λ²) into f(x,y,z), we get:

f(λ) = (7λ-14)² + (4λ-8)² + 65λ²

To minimize this function, we take its derivative with respect to λ and set it equal to zero:

f'(λ) = 30λ - 80 = 0

Solving for λ, we get λ = 8/3. Substituting this back into x = -7λ, y = -4λ, and z = √(65λ²), we get:

x,y,z=(smaller z-value)=(-56/3, -32/3, 16/3)

x,y,z=(larger z-value)=(56/3, 32/3, -16/3)

These are the points on the cone that are closest to the point (14, 8, 0).

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Using algebraic expression, For the given expression, the height of the scarf will be 2h - 7

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given the height = h

length of the base = 2h - 7

The area will be - 1/2 . B . H

= 1/2 . (2h - 7) . (h)

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The initial charge to use a computer is 7 if the cafe charges an initial fee to use the computer and then an additional price per minute of usage.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

The table in the picture has select values showing the linear relationship between t and C.

Let the equation is:

y = mx + c

Plug x = 1, y = 7.50

7.50 = m + c ...(I)

Plug x = 9, y = 11.50

11.50 = 9m + c ...(I)

After solving the linear equation:

m = 0.5

c = 7

y = 0.5x + 7

The initial charge to use a computer:

x = 0

y = 7

Thus, the initial charge to use a computer is 7 if the cafe charges an initial fee to use the computer and then an additional price per minute of usage.

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Answer:

Kay sold 6 boxes and Ayan sold 19 boxes

Step-by-step explanation:

Let x be the number of boxes sold by Kay and

Let y be the number of boxes sold by Ayan

Then according to given statements, the equations will be:

\(x+y = 25\ \ \ Eqn\ 1\\x = y-13\ \ \ Eqn\ 2\)

Putting x = y-13 in equation 1

\(y-13+y = 25\\2y-13=25\\2y=25+13\\2y = 38\\\frac{2y}{2} = \frac{38}{2}\\y = 19\)

Putting y = 19 in equation 2

\(x = 19-13 = 6\)

So we get x=6 and y=19

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes

sir im sry to tell u this but, Y ARENT U SUBBED TO PEWDIEPIE U NERD

The solutions of the equation are x = 15 and x = -20

The equation is given as:

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

Rewrite the equation properly as:

|2/5x + 1| - 7 = 0

Add 7 to both sides

|2/5x + 1| = 7

Remove the absolute bracket

2/5x + 1 = 7 and 2/5x + 1 = -7

Subtract 1 from both sides

2/5x = 6  and 2/5x = -8

Solve for x

x = 15 and x = -20

Hence, the solutions of the equation are x = 15 and x = -20

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Answer:

B. x = -20 and x = 15

Step-by-step explanation:

Good luck! Hope this helped :)

Answer:

Yes

Step-by-step explanation:

She is correct because 3/10 of 100 (a full dollar) is 0.3 which is 3 in pennies/cents. You could also do 3% of 100 which is 3 (pennies/cents)

The area of the given  isosceles triangle is 480 square units.

Isosceles triangle:

An isosceles triangle is a triangle with two sides of equal length. Let's do a little activity to understand this better. Take a square piece of paper and fold it in half. Draw a line from the folded top corner to the bottom edge (see image below). Open the sheet and you will see a triangle. Mark the triangle vertices as O, D, C. Then measure OD and OC. Repeat this activity at different scales and observe patterns. We can see that OD and OC are always the same. A triangle with two equal sides is called an isosceles triangle.

Given,

base (b) = 20 units and

height (h) = 120 units.

The formula to calculate the area is 1/2 × b × h square units.

By substituting the values, we get

⇒ Area = 1/2 × 20 × 120

            = 480 unit Squares

Therefore, the area of the given  isosceles triangle is 96 square units.

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