Bookstore A sells a particular book for $15.25, but they have it on sale for 20% off. Bookstore B sells it for $12.45. How much more does it cost at Bookstore B?

Answer: b

Step-by-step explanation:

The experimental design which is used in the study is Completely randomized design.

Completely Randomized design may be defined as a technique in which all the solutions are assigned at random so that each questions receive all the possible solutions. According to the question we know that the sample size is 100 volunteers who are suffering from chronic pain. Now, out of the 100 volunteers, 50 males and 50 females are chosen. Further out of the 50 males, 25 males are randomly assigned to the treatment group while the other 25 males are assigned to a control group. Since, the treatments are randomly assigned completely, each of the volunteers have an equal chance of receiving the treatments.

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Answer:

$1.16 per meter

Step-by-step explanation:

You need to divide the coat by the meters.

9.28/8

= 1.16

So one meter of ribbon would cost $1.16.

Answer: $1.16

Step-by-step explanation:

cost of ribbon per meter= cost/meter

 $9.28/8m=$1.16/m

Answer:

Sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

Step-by-step explanation:

In the given triangular birdcage, sides of the triangle are consecutive integers.

Let sides of the triangle are x, (x + 1), (x + 2) cm.

Perimeter of a triangle = Sum of all sides of the given triangle

114 = x + (x + 1) + (x + 2)

114 = 3x + 3

3x = 111

x = \(\frac{111}{3}\)

x = 37

Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

Answer:

25

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

Answer:

25

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

Draw the figure to left on a piece of paper and rotate in to fit. I think ∠C = ∠M.

the figures are ≅ so corresponding sizes and angles are ≅.

Answer:

larry is 19

Step-by-step explanation:

ok, so larry's age is y, his sisters age is x

x + 8 = y

thats the equation for him being 8 years older

now 2y = 3x + 5

his sisters age is 3x + 5 to get larry's age when its doubled

substitute x + 8 in for y

2 (x+8) = 3x + 5

2x + 16 = 3x + 5

16 = x + 5

x = 11

11 + 8 = y

y = 19

The point on the curve where the tangent line has a slope of 1/2 is (x, y) = (21, -2). Therefore, the point on the curve where the tangent line has a slope of 1/2 is (21, -2).

1. To find this point, we need to determine the values of t that satisfy the condition. The slope of the tangent line at a given point on the curve is equal to the derivative of y with respect to x, dy/dx. So, we need to find the derivative dy/dx and set it equal to 1/2. Differentiating x = 9t^2 + 4 with respect to t, we get dx/dt = 18t. Differentiating y = t^3 - 7 with respect to t, we get dy/dt = 3t^2.

2. To find the value of t, we equate dy/dx and dy/dt:

dy/dx = 1/2 = (dy/dt) / (dx/dt)

1/2 = (3t^2) / (18t)

1/2 = t/6

t = 3

3. Substituting t = 3 into the equations x = 9t^2 + 4 and y = t^3 - 7, we get (x, y) = (21, -2). Therefore, the point on the curve where the tangent line has a slope of 1/2 is (21, -2).

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37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

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Answer:

\(\frac{1}{30240}\)

Step-by-step explanation:

Given

ID Card of 5 digits

Possibly Digits = {0,1...,9}

Required

Probability that a card has exact number 94213

First, we have o determine the total possible number of ID card numbers

Let the card number be represented by ABCDE

Given that repetition of digits is not allowed;

A can be any of 10 digits

B can any of the remaining 9 digits

C can be any of the remaining 8 digits

D can be any of the remaining 7 digits

E can be any of the remaining 6 digits

Total number of cards = 10 * 9 *8 * 7 * 6

Total = 30240

Provided that the card number is generated at random; each card number has the same probability of \(\frac{1}{30240}\)

Hence, the probability of having 94213 is \(\frac{1}{30240}\)

Answer:

3*10 - 5*4000000.

= 30 - 200000000

= 199999970

Step-by-step explanation:

(3×10)-(5×40000000)

=30-200000000

=-199 999 970

To evaluate the function at each specified value of the independent variable,(a) f(-2) = 13, (b) f(1/2) = 9, (c) f(1) = 9

To evaluate the function at each specified value of the independent variable, we substitute the given values into the corresponding piecewise-defined function.

(a) For f(-2), since -2 is less than 0, we use the first piecewise function:  f(x) = 9 - 2x. Plugging in x = -2, we have f(-2) = 9 - 2(-2) = 9 + 4 = 13.

(b) For f(1/2), since 1/2 is greater than 0 but less than 1, we use the second piecewise function: f(x) = 9. Plugging in x = 1/2, we have f(1/2) = 9.

(c) For f(1), since 1 is equal to 1, we use the third piecewise function: f(x) = 8x + 1. Plugging in x = 1, we have f(1) = 8(1) + 1 = 8 + 1 = 9.

Therefore, the function evaluated at each specified value is:

(a) f(-2) = 13

(b) f(1/2) = 9

(c) f(1) = 9.

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Answer:

answer for the question is 87

Answer:

The parabola has an absolute minimum and its vertex is located at (1, 7).

Step-by-step explanation:

Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).

Answer:the answer should be B :) !

Step-by-step explanation:

Answer:

The answer is c i guess.

Answer:

C) y=-1/2x+3

Step-by-step explanation:

y=mx+b.  

m is the slope

b is the y-intercept

so the answer is C

y=-1/2x+3

The difference between the costs of a hovercraft and a boat in the year 2010 was approximately $1,558.

(a) The difference in costs between a hovercraft and a boat can be expressed as follows:

Cost difference = Hovercraft cost - Boat cost

Cost difference = (-1012 + 350t + 400) - (30 + 140t)

Cost difference = -1012 + 350t + 400 - 30 - 140t

Cost difference = 220t - 642

Therefore, the difference in costs between a hovercraft and a boat can be expressed as 220t - 642.

(b) To find the difference in the year 2010, we need to substitute t = 10 in the expression we derived in part (a):

Cost difference = 220t - 642

Cost difference = 220(10) - 642

Cost difference = 2200 - 642

Cost difference = 1558

Therefore, the difference between the costs of a hovercraft and a boat in the year 2010 was approximately $1,558.

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Answer:

Is it 90 degrees

Step-by-step explanation:

The straight up and down line gives it away.

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

Answer:

wrong

Step-by-step explanation:

(2(x + 13)) /3

the expression says x = 5, so let's check:

(2(5 + 13)) /3

36/3 = 5...FAKE

Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Mode of the given data is 15 since it occurs maximum time.

A set of data values' mode is the value that appears the most frequently. The value of X at which the probability mass function reaches its highest value is known as the mode if X is a discrete random variable. In other words, it is the value that will be sampled most frequently.

In statistics, the most frequent number in a group of numbers is referred to as the mode. For instance, the mode would be 7 if the collection of numbers included the digits 1, 1, 3, 5, 6, 6, 7, 7, and 8 since it appears the most frequently.

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Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

The square of 5√2 -1 can be found using the distributive property.

  \((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)

when getting a bearing, we're referring to the angle from the North line moving clockwise, so of D from C?  well, the "from" point gets the North line and we check the angle from that North line clockwise to the other point, Check the picture below.

The definite integral of 0.2 * x^5 from 0 to 1, approximated to six decimal places using a power series, is 0.033333.

The definite integral of 0.2 * x^5 from 0 to 1 using a power series with an accuracy of six decimal places. To do this, we can use the power series representation of the integrand and then integrate term by term.

1. Find the power series representation of the integrand:
The integrand is a polynomial, 0.2 * x^5, so its power series representation is simply itself.

2. Integrate term by term:
Now, we integrate the power series term by term. In this case, we have only one term, which is 0.2 * x^5.
∫(0.2 * x^5) dx = (0.2/6) * x^6 + C = (1/30) * x^6 + C

3. Evaluate the definite integral:
Now, we can find the definite integral by evaluating the antiderivative at the given limits (0 and 1):
i = [(1/30) * (1^6)] - [(1/30) * (0^6)] = (1/30)

4. Convert to a decimal:
i ≈ 0.033333

Thus, the definite integral of 0.2 * x^5 from 0 to 1, approximated to six decimal places using a power series, is 0.033333.

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Critical angle for the total internal reflection icrit, β =  78.28⁰

Critical angle for the total internal reflection crit, α = 17,22⁰

We have the refractive index of core, \(n_c_o_r_e\) = 1.46

We have the refractive index of clad , \(n_c_l_a_d\) = 1.4

Critical angle can be defined as the incidence angle which results in the refraction angle being equal to  at that angle of incidence.

For Total Internal Reflection to occur, the incidence angle must be greater than the critical angle.

We know that the critical angle, θ is given by:

sinθ = \(\frac{n_c_l_a_d}{n_c_o_r_e}\)

sinθ = \(\frac{1.4}{1.46}\)

sinθ = 0.959 = sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

\(\frac{sin(90-\alpha )}{sin\alpha } = \frac{1}{n_c_o_r_e}\)

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17,22⁰

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Critical angle for total internal reflection icrit β = 78.28⁰

Critical angle for total internal reflection crit, α = 17.22⁰

The refractive index of the core is ncore = 1.46.

The refractive index of clad is nclad = 1.4.

We know that the critical angle, θ is given by:

sinθ = nclad/ ncore

sinθ = 1.4/1.46

sinθ = 0.959

sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

sin(90- α) / sin α = 1 / ncore

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17.22⁰

Critical angle for icrit β = 78.28⁰

Critical angle for crit α = 17.22⁰

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The sample consists of the 15 workers selected to participate in the survey.

The population consists of 200  workers.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Out of a group of 200 workers, 15 are chosen to participate in a survey about the number of Miles they drive to work each week.. In this situation the samples consist of the 15 workers selected to participate in the survey.The population consist of 200 workers

SAMPLE: This is a representative part of a population on which a research is about the population is administered

POPULATION: This is the large collection of people or objects that is the focus of a scientific query or research. Often times, the logistics involved in reaching the entire population may be unavailable, so a sample is taken

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We can conclude that it is extremely unlikely to obtain a sample mean greater than 904.8 minutes if the design engineer's claim about the population variance and mean is true.

We can use the Central Limit Theorem to approximate the distribution of the sample means.

Under the given assumptions, the mean of the sampling distribution of the sample means is equal to the population mean, which is 886886 minutes, and the standard deviation of the sampling distribution of the sample means is equal to the population standard deviation divided by the square root of the sample size, which is\(\sqrt{84648464/145145} = 41.77\) minutes.

Therefore, we can standardize the sample mean using the formula:

\(z = (\bar{x} - \mu) / (\sigma / \sqrt{n } )\)

where \(\bar{x}\)  is the sample mean, \(\mu\)  is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (904.8 - 886886) / (41.77) = -21115.47

The probability of getting a sample mean greater than 904.8 minutes can be calculated as the area under the standard normal curve to the right of z = -21115.47.

This probability is essentially zero, since the standard normal distribution is symmetric and nearly all of its area is to the left of -6.

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a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Answer:

5400 + 351 = 5751

Step-by-step explanation: