I have homework due tonight and I have no idea how to do this. I’ve tried about everything and it’s all wrong. P.S. THE
ANSWER IS NOT $124.56

The price on an item is $146.54 after a 15% discount. What is the original price?

The probability that a timing belt lasts until the car runs 140,000 miles is 0.9332.

a) The probability that a timing belt lasts until the car runs 140,000 miles can be found using the Z-score formula. The Z-score is calculated as (140,000 - 125,000)/10,000 = 1.5. The probability can be found using the Z-score table or by using a calculator, and is equal to 0.9332.

b) The probability that the timing belt fails before the car reaches the manufacturer’s recommended mileage of 90,000 miles can be found using the Z-score formula. The Z-score is calculated as (90,000 - 125,000)/10,000 = -2.5. The probability can be found using the Z-score table or by using a calculator, and is equal to 0.0062.

c) The 1st percentile of a normal distribution is the Z-score corresponding to the cumulative probability of 0.01. The Z-score for the 1st percentile is -2.33. The mileage of the car when the timing belt should be replaced can be found using the Z-score formula. The mileage is equal to 125,000 - (2.33 * 10,000) = 110,700 miles.

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Sherry's commitment and love for reading allowed her to embark on a literary adventure that spanned two days. From the initial taste of 1/3 to the final bite of the remaining line 2/3, she had read the entire book, savoring every word and getting lost in the magic of storytelling.

Sherry's reading adventure began with her diving into a book, eager to explore its contents. She managed to devour a portion of the book, specifically 1/3 of it, before feeling the sweet embrace of sleep and deciding to call it a night.

The following day arrived, and Sherry's desire to unravel the remaining mysteries of the book was still burning bright within her. Determined to quench her thirst for knowledge, she dedicated herself to reading the rest of the book. With focused determination, she turned page after page, immersing herself in the story's captivating world.

As the hours ticked by, Sherry felt the satisfaction of progress. With each passing chapter, she could sense herself inching closer to the climax and resolution of the story. The characters became like old friends, and the plot twists kept her on the edge of her seat.

Finally, as the sun dipped below the horizon, Sherry turned the last page and completed the final chapter. She had done it. She had finished reading the entire book. The sense of accomplishment washed over her, accompanied by a bittersweet feeling that the journey had come to an end.

Reflecting on her reading experience, Sherry realized that she had initially read 1/3 of the book before retiring for the night. That meant there were still 2/3 of the book left for her to discover on the subsequent day. And indeed, she did just that. She dedicated her time and energy to devouring the remaining 2/3 of the book, leaving no page unturned.

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The Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We know the formula for the Z-test:

\(\rm Z = \dfrac{X-\mu}{\sigma}\)

(a) For Boris:

\(\rm Z = \dfrac{67-60}{4.3}\)

Z = 1.627

(b) For Callie:

\(\rm Z = \dfrac{119-110}{7.1}\)

Z = 1.267

(c) Since the measures of two different data have been set to one measure and the value of the Z-score for Boris is higher relative to the Z-score value of Callie so Boris scored higher relatively.

Thus, the Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

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If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

A person or married couple must submit an official form known as an individual tax return to a federal, state, or local taxing authority in order to record any taxable income they received within a certain time period, typically the previous year.

This document is used to determine how much tax was paid in excess of what was required during that time period.

In this case, if Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

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If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is:

April 15th.

October 15th.

August 15th.

November 15th.

None of the choices are correct.

Answer:

hi

Step-by-step explanation:

the answer to your question would be 26.5

26 with a remainder of 5

edit: its 50 don’t trust a go0gle calculator

Answer:

it is 50 because 77 plus 23 is 100 and after that we split that in have which it give us 50

Step-by-step explanation:

hope this helped:}

Answer:

The answer should be 34.33 times.

Step-by-step explanation:

If it weighs up to 3 grams, that should be the answer. However, if it is 10 grams, the answer would be 10.3 times. I hope this helps

C) The evidence does not suggest that consumers have a preference among the cookie brands.

Based on the given information, the researcher conducted a chi-square test to determine consumer preferences for four different cookie brands. The researcher set the significance level (alpha) to 0.05, which means that there is a 5% chance of observing the obtained chi-square value (7.50) due to random chance alone.

By comparing this chi-square value with the critical chi-square value for the given degrees of freedom and alpha level, the researcher can determine the correct conclusion. If the obtained chi-square value is less than the critical value, it indicates that the evidence does not suggest a preference among the cookie brands.

In this case, the obtained chi-square value (7.50) does not exceed the critical value, leading to the conclusion that consumers do not have a significant preference for the different cookie brands.

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The  Laplace transform of the following functions

1. f(p) = 2p/ (p² + 4)²

2. f(p) = -54/ (p² + 9)

1. f(t)=sin(2t)cos (2t)

Using Laplace Transform

sin 2t = 2/ p² + 2² = 2/ p² + 4

and, cos 2t = p/ p² + 2² = p/p² + 4

So, f(p)= 2/ p² + 4 x p/ p² + 4

f(p) = 2p/ (p² + 4)²

2. f(t)= cos² (3t)

Using Laplace Transform

cos² (3t) = (-1)² d/dt(-6 sin (3t)) = -18 cos(3t)

and, -18 cos (3t)= -18 x 3/p² + 9 = -54/ (p²+9)

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The Laplace transform of the given functions are \(\frac{2}{s^2+16}\), \(\frac{3\cos \left(2\right)}{s^2}\) and \(\frac{3\left(2s-4\right)}{\left(s^2-4s+13\right)^2}\)

Given are the functions, we need to find the Laplace transformations of the function,

a) f(t) = sin(2t) cos(2t)

\(L\left\{\sin \left(2t\right)\cos \left(2t\right)\right\}\)

Use the following identity : cos (2) sin (x) = sin (2x)1/2

\(=L\left\{\sin \left(2\cdot \:2t\right)\frac{1}{2}\right\}\)

\(=L\left\{\frac{1}{2}\sin \left(4t\right)\right\}\)

Use the constant multiplication property of Laplace Transform:

\(\mathrm{For\:function\:}f\left(t\right)\mathrm{\:and\:constant}\:a:\quad L\left\{a\cdot f\left(t\right)\right\}=a\cdot L\left\{f\left(t\right)\right\}\)

\(=\frac{1}{2}L\left\{\sin \left(4t\right)\right\}\)

\(=\frac{1}{2}\cdot \frac{4}{s^2+16}\)

\(=\frac{2}{s^2+16}\)

b) f(t) = cos2 (3t)

\(L\left\{\cos \left(2\right)\left(3t\right)\right\}\)

Use the constant multiplication property of Laplace Transform:

\(\mathrm{For\:function\:}f\left(t\right)\mathrm{\:and\:constant}\:a:\quad L\left\{a\cdot f\left(t\right)\right\}=a\cdot L\left\{f\left(t\right)\right\}\)

\(=\cos \left(2\right)\cdot \:3L\left\{t\right\}\)

\(=\cos \left(2\right)\cdot \:3\cdot \frac{1}{s^2}\)

\(=\frac{3\cos \left(2\right)}{s^2}\)

c) f(t) = \(te^{2t}sin (3t)\)

\(L\left\{e^{2t}t\sin \left(3t\right)\right\}\)

Use the Laplace Transformation table:

\(L\left\{t^kf\left(t\right)\right\}=\left(-1\right)^k\frac{d^k}{ds^k}\left(L\left\{f\left(t\right)\right\}\right)\)

\(\mathrm{For\:}te^{2t}\sin \left(3t\right):\quad f\left(t\right)=e^{2t}\sin \left(3t\right),\:\quad \:k=1\)

\(=\left(-1\right)^1\frac{d}{ds}\left(L\left\{e^{2t}\sin \left(3t\right)\right\}\right)\)

\(=\left(-1\right)^1\left(-\frac{3\left(2s-4\right)}{\left(s^2-4s+13\right)^2}\right)\)

\(=\frac{3\left(2s-4\right)}{\left(s^2-4s+13\right)^2}\)

Hence, the Laplace transform of the given functions are \(\frac{2}{s^2+16}\), \(\frac{3\cos \left(2\right)}{s^2}\) and \(\frac{3\left(2s-4\right)}{\left(s^2-4s+13\right)^2}\)

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Answer:

26.7 slices

Step-by-step explanation:

We are told in the question that the length of a roll = 10cm long

The thickness of 1 slice = 3/8cm thick

The number of slices we can obtain from this roll is calculated as:

10cm ÷ 3/8

= 10 × 8/3

= 80/3

= 26.666666667 slices

Therefore, the number of slices he can cut approximately is 26.7 slices.

Answer:

Boxplot A

Step-by-step explanation:

Given the data:

22, 25, 50, 58, 28, 24, 25, 51, 43, 32, 49, 38

We should obtain the 5 number summary and check which boxplot correctly displays the information :

Reordered data : 22, 24, 25, 25, 28, 32, 38, 43, 49, 50, 51, 58

. Maximum = 58

Minimum = 22

Lower quartile : 1/4(n+1)th term

n = 12

1/4(13)th term = 3.25

(3rd + 4th) = (25 + 25) /2 = 25

Median :

1/2(13)th = 6.5th term

(32 + 38) /2 = 35

Upper quartile :

3/4(13)th term 9.75 term

(49 + 50) / 2

= 49.5

Answer:

34

Step-by-step explanation:

hope this helps :)

Answer:

34

Step-by-step explanation:

First, plug in numbers and then solve...

Answer:

daddys_angel_yt

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ricardoconsort14 and RicardoOrtVill

Answer:$12 + $15h = $72

H=4 Scott rented the bike for 4 hours.

Step-by-step explanation:

Subtract 12 from each side. You then have $15h = $60 now you divide each side by 15 to get 4

Answer:

The solve for h= is 4 hours

The equation is 12+ 15=27

He rented the bike for 4 hours.

Answer:

  7360 ft·lb

Step-by-step explanation:

You want the work done by a 320-lb gorilla climbing to a height of 23 feet.

Work is the product of force and distance:

  W = (weight)·(height) = (320 lb)(23 ft) = 7360 ft·lb

The gorilla does 7360 ft·lb of work.

__

Additional comment

Time comes into play when you want the power involved. If the climbing is done in 10 seconds, the power required is about 1.34 horsepower. (1 hp = 550 ft·lb/s)

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Answer:

b

Step-by-step explanation:

you have to look at the graph

Answer:

in point form the answer is (32/3 , 6)

in equation form the answer is x=32/3 , y=6

Answer:

4/5

Step-by-step explanation:

sine is opposite over hypotenuse,

so it's 40/50=4/5

We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.

So the situation is:

We have a group of puppies, some are black, some are white.

Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:

n₁ + n₂ = N

Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:

q = n₁/N

Then now we have:

Now for the second selection, event B, the probability of selecting a white puppy is:

P = n₂/(N - 1)

Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.

So clearly event B depends on event A.

Now the question is:

Is A dependent on B?

No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.

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The ordered pairs in relation r are:

Partition 1: No ordered pairs.

Partition 2: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0)}).

Partition 3: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (1, 2), (2, 1)}).

Partition 4: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (0, 3), (3, 0), (0, 4), (4, 0), (1, 2), (2, 1), (1, 3), (3, 1), (1, 4), (4, 1), (2, 3), (3, 2), (2, 4), (4, 2), (3, 4), (4, 3)}).

We have,

Consider each partition separately:

Partition 1: {{0}, {1}, {2}, {3}, {4}}

Since each element is in its own subset, there are no elements related to each other.

Therefore, the relation r is empty, and there are no ordered pairs.

Partition 2: {{0, 1}, {2, 3, 4}}

Within this partition, the elements 0 and 1 are in the same subset, and the elements 2, 3, and 4 are in another subset.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0)}

Partition 3: {{0, 1, 2}, {3, 4}}

Within this partition, the elements 0, 1, and 2 are in the same subset, and the elements 3 and 4 are in another subset.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (1, 2), (2, 1)}

Partition 4: {{0, 1, 2, 3, 4}}

Since all elements are in the same subset, they are all related to each other.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (0, 3), (3, 0), (0, 4), (4, 0), (1, 2), (2, 1), (1, 3), (3, 1), (1, 4), (4, 1), (2, 3), (3, 2), (2, 4), (4, 2), (3, 4), (4, 3)}

Thus,

These are the ordered pairs in the relation r induced by each partition of {0, 1, 2, 3, 4}.

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The statement "the algebraic and spreadsheet formulations of a linear programming model both have advantages" is true. (Option 3)

Both algebraic and spreadsheet formulations have their own advantages and disadvantages. Algebraic models allow for a more formal mathematical representation of the problem, making it easier to see relationships between variables and constraints. They also allow for the use of powerful optimization solvers to quickly find optimal solutions.

On the other hand, spreadsheet models allow for more intuitive modeling and visualization of the problem. They also allow for quick and easy scenario analysis and sensitivity testing. Furthermore, they are more accessible to a wider range of users who may not have the technical background to create and solve complex algebraic models.

Therefore, the choice between the two formulations depends on the specific problem and the preferences and expertise of the modeler.

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Complete Question:

which of the following statements about linear programming models is true? multiple choice question.

Answer:

i think its 256 lol my disc is Andreww#6506 if u want to add me lol

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

I think it's C!!!!!!!!!!!!!!

Answer:

19

Step-by-step explanation:

it adds 2 every x

Answer:

19 because you always add 2 to the last number so 17+2=19

The sign diagram for the first derivative of the function f(x) = x² - 25 indicates that the derivative is negative for x < -5 and positive for x > -5. The second derivative is undefined at x = -5, and it changes sign from positive to negative for x > -5, implying a local maximum at x = -5.

The function f(x) = x² - 25 is a quadratic function. To find the sign diagram for the first derivative, we need to determine where the derivative is positive, negative, or undefined. The derivative of f(x) is f'(x) = 2x. Since the coefficient 2 is positive, the sign of the derivative depends on the sign of x. When x is negative, f'(x) is negative, indicating a downward slope. Thus, f'(x) < 0 for x < -5. When x is positive, f'(x) is positive, indicating an upward slope. Therefore, f'(x) > 0 for x > -5.

To construct the sign diagram for the second derivative, we need to examine where f''(x) is positive, negative, or undefined. The second derivative of f(x) is f''(x) = 2. The constant value 2 is positive, indicating that f''(x) is positive for all x. Thus, f''(x) > 0 for all x, except at the point x = -5, where the second derivative is undefined.

Based on the sign diagram, we can conclude that there is a local maximum at x = -5 since the second derivative changes sign from positive to negative at that point.

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The shipping company will need 2,688 one cubic centimeter blocks to fill the box.

The volume of the box can be calculated as:

Volume = length x width x height

Volume = 14 cm x 12 cm x 16 cm

Volume = 2,688 cubic cm

Since each block is also one cubic cm in volume, we can simply divide the total volume of the box by the volume of one block to find the number of blocks needed to fill the box:

Number of blocks = Volume of box / Volume of one block

Number of blocks = 2,688 cubic cm / 1 cubic cm

Number of blocks = 2,688

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Answer:

14 percent

Step-by-step explanation:

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Answer:

5 and 10

Step-by-step explanation: