Amy is sewing some pants for herself. This is the rule for how much fabric she needs to buy. • Measure from your waist to the finished length of thepants • Double this measurement • Add 8inches 1. Amy’s measurement from her waist to the finished length of the pants is 35inches. How many inches of fabric does sheneed?

Answer:

Mindy=191

Amy=299

Step-by-step explanation:

first you want to divide $490 in half to see what each person has. Thats 245 and since Amy has $54 more, you minus 54 from 245 to get 191. So while Mindy has 191, Amy has 299

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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A) The number of possible access codes is: 343

B) The probability of randomly selecting the correct access code is: 0.003

C) The probability of not selecting the correct access code is :  0.997

Permutations are used when order/order of placement is required. Combinations are used when you only need to search for the number of possible groups and not the order/order of locations. Permutations are used for things of different nature. Combinations are used for things of a similar nature.

a) The access code for a garage door consists of three digits. Each digit can be 2 through 8 and each digit can be repeated.

Thus, the number of possible access codes is:

7³ = 343

b) The probability of randomly selecting the correct access code is:

1/343 = 0.003

c) The probability of not selecting the correct access code is :

P = 1 - (1/343)

P = 0.997

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Complete question is:

The access code for a garage door consists of three digits. Each digit can be 2 through 8 and each digit can be repeated. Complete parts​ (a) through​ (c).

a) The number of possible access codes is?

b) The probability of randomly selecting the correct access code is (rounded to the nearest thousandth)?

c) The probability of not selecting the correct access code is (round to the nearest thousandth)?

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   \(=\frac{77.5-80}{25} \\= 0.1\)

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Maximize Z = -2x1 + x2 - 4x3 + 3x4 subject to the following constraints:

x1 + x2 + x3 + 2x4 + s1 = 4,

-x1 + x3 + x4 - s2 = -1,

2x1 + x2 + s3 = 2,

and x1 + 2x2 + x3 + 2x4 = 2, where x1, x2, x3, x4, s1, s2, s3 ≥ 0.

To reformulate the given problem in the standard form of a linear programming model, we need to convert all the inequalities into equations and express all variables as non-negative.

The standard form of a linear programming problem is as follows:

Maximize (Z) = c1x1 + c2x2 + c3x3 + c4x4

Subject to:

a11x1 + a12x2 + a13x3 + a14x4 = b1

a21x1 + a22x2 + a23x3 + a24x4 = b2

a31x1 + a32x2 + a33x3 + a34x4 = b3

an1x1 + an2x2 + an3x3 + an4x4 = bn

x1, x2, x3, x4 >= 0

Now let's reformulate the given problem:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 <= 4

-x1 + 0x2 + x3 + x4 >= -1

2x1 + x2 + 0x3 + 0x4 <= 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4 >= 0

The reformulated linear programming problem in standard form is as follows:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 + s1 = 4

-x1 + x3 + x4 - s2 = -1

2x1 + x2 + s3 = 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4, s1, s2, s3 >= 0

Note: The reformulated problem includes slack variables s1, s2, and s3 to convert the inequalities into equations, and all variables are non-negative.

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Answer:

f(-3) = |(-3)-2| = |-5| = 5

Answer: 7 tickets

Step-by-step explanation:

First you need to remove the cost of entrance from the $45 that Hayden has:

= 45 - 8

= $37

The $37 is the amount that is left for Hayden to be able to buy tickets for the raffle.

The tickets cost $5 each so the highest number of tickets that can be bought with $37 is:

= 37 / 5

= 7 tickets

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= \(\frac{2}{3}\)

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

Answer:

This is an equation of a line in standard form. The "C" is the constant of the equation

Step-by-step explanation:

Answer:

D. 3x^2-10x+8

Step-by-step explanation:

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hope it helps

refer to the attachment

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Answer:

6

Step-by-step explanation:

1.A,B,C

2.C,B,A

3.A,C,B

4.B,A,C

5.B,C,A

6.C,A,B

The mean should be used when the data is symmetric.

Answer: 1 cup or 2 cups.

Answer:

bro I ain't got no idea try googling it man

The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

What is meant by the perimeter of a figure?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given,

the scale factor = 4/5

The perimeter of the smaller rectangle = 45 cm

We are asked to find the perimeter of the larger rectangle(x).

Here both the rectangle are similar figures.

So the scale factor is the ratio of their corresponding sides.

But since the perimeter of a rectangle is the sum of the length of its sides.

The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.

Perimeter of small rectangle/Perimeter of large rectangle = 4/5

45/x = 4/5

x = 45 * 5 / 4 = 56.25cm

Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

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Therefore, with a 90% confidence level, we estimate that the proportion of the voting population that prefers candidate A is between 0.252 and 0.328, rounded to three decimal places.

To find the critical value for a confidence level of 95%, we use the standard normal distribution.

Since the sample size is large (600 people sampled), we can use the normal approximation to the binomial distribution. The formula for the confidence interval is:

Estimate ± (Critical Value) * (Standard Error)

In this case, we have 174 out of 600 people who preferred candidate A, so the proportion is 174/600 = 0.29.

To find the critical value, we need to determine the z-score corresponding to a 95% confidence level. Using a standard normal distribution table or a calculator, we find that the z-score for a 95% confidence level is approximately 1.96.

Next, we need to calculate the standard error. The formula for the standard error in this case is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion (0.29) and n is the sample size (600).

Plugging in the values, we have:

Standard Error = sqrt((0.29 * (1 - 0.29)) / 600) ≈ 0.0195

Now, we can calculate the confidence interval:

0.29 ± (1.96 * 0.0195)

The lower bound of the confidence interval is 0.29 - (1.96 * 0.0195) ≈ 0.2519, and the upper bound is 0.29 + (1.96 * 0.0195) ≈ 0.3281.

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When the coefficient matrix A is zero, the system of equations represented by A * X = B is either dependent (many solutions) or inconsistent (no solutions), depending on the values of b₁ and b₂.

In the given matrix equation A * X = B, where A is the coefficient matrix and X and B are column matrices representing variables and constants, respectively, it is stated that A = 0. Since A = 0, the coefficient matrix becomes: [0 0]; [0 0]. Now let's consider the system of equations represented by A * X = B: a₁x + a₂y = b₁; a₃x + a₄y = b₂. With A = 0, the equations become: 0x + 0y = b₁; 0x + 0y = b₂. These simplified equations reveal that regardless of the values of b₁ and b₂, the system becomes: 0 = b₁; 0 = b₂.

This implies that the system is either dependent (has many solutions) if b₁ = b₂ = 0, or inconsistent (has no solutions) if b₁ ≠ 0 or b₂ ≠ 0. In summary, when the coefficient matrix A is zero, the system of equations represented by A * X = B is either dependent (many solutions) or inconsistent (no solutions), depending on the values of b₁ and b₂.

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Answer:

x = 45 °

Step-by-step explanation:

We know that the sum of all angles if right angle triangle is 180 °.

90 ° + x + x = 180°

90 ° + 2 x = 180 ° ...( combine like terms)

2 x = 180 ° - 90 °.. ( subtract 90° from 180° )

2 x = 90°

x = 90° /2 ....( divide by 2 )

x = 45 °

Answer:

$564

Step-by-step explanation:

6% of 600 is 36

So 600-36= $564

Answer: $564

Step-by-step explanation:

Answer:

C; 62 to 68 inches

Step-by-step explanation:

Here, we want to get the population range that is having a probability of 68%

From the empirical rule, a measure of 1 standard deviation above the mean, with 1 standard deviation below the mean will give a total percentage of 68%

From the question;

1 standard deviation above the mean is 65 + 3 = 68

1 standard deviation below the mean is 65-3 = 62

so the range of the height of the population is 62 to 68 inches

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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B) Note that in the prompt above, you can use translation to map the line y= 2x -4 onto the line y = 2x + 4.

While you can use axial symmetry in the y -  axis to map the line  y = x onto the line y = -x.

Axial symmetry is symmetry around an axis; an item is axially symmetric if it retains its appearance when rotated around an axis.

A baseball bat with no brand or other design, or a plain white tea saucer, for example, looks the same when rotated by any angle around the line traveling longitudinally through its center, indicating that it is axially symmetric.

A transformation in which the coordinate system's origin is shifted but the orientation of each axis remains constant

So for B) you can use a translation to map the line y = 2x -4 onto the line y = 2x + 4 by shifting the first line 4 units upwards along the y - axis....

mathematically, that would be:

y = 2x - 4 + 4

y = 2x


For C) you can use axial symmetry on the y -  axis to achhieve the mapping of y = x onto y = -x by reflection.

The polar opoppsite of y = x  is y = -x.

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Answers:

==================================================

Explanation:

For problems 1 and 2, we just multiply the base and height. This is the same as multiplying the length and width.

So in problem 1 we have 10*12 = 120 square feet. In problem 2 we have 6*10 = 60 square inches.

-----------------------

Problem 3 follows the same idea, but we do a bit more work. The area of the garden is 5*12 = 60 square feet.

Let's say x is the number of bags needed.

1 bag covers 6 square feet

2 bags cover 12 square feet

and so on

x of those bags cover 6x square feet. The x is just a placeholder for a number. Specifically, a positive whole number.

The expression 6x represents how much area that can be covered by x bags. We want to cover 60 square feet.

The equation we need to solve is 6x = 60. Doing so leads to x = 10 after dividing both sides by 6.

So this means Travis needs 10 bags.

well, let's take a looksie at what it would  have been had there not been a sale, so at regular price the washer and dryer are just 685.96 + 475.70 = 1161.66, well hell how much is 4.25% of that?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.25\% of 1161.66}}{\left( \cfrac{4.25}{100} \right)1161.66} ~~ \approx ~~ 49.37\)

now, since we know the appliances are going to be 20%, that means the appliaces sale price will be 100% - 20% = 80%, so 80% of the original price, well, we know the original price for those two is 1161.66, what's 80% of that?

\(\stackrel{\textit{80\% of 1161.66}}{\left( \cfrac{80}{100} \right)1161.66} ~~ \approx ~~ \stackrel{ sale~price }{929.33} \hspace{5em} \stackrel{\textit{4.25\% of 929.33}}{\left( \cfrac{4.25}{100} \right)929.33} ~~ \stackrel{ \textit{Paula's commission} }{\approx ~~39.5}\)

well, Paula could have made 49.37, but she ended up with 39.5, 49.37 - 39.5 ≈ 9.87.

Answer:

Step-by-step explanation:

Side A has a length of 80 ft, side b has a length of 150 ft, and side c (the hypotenuse) has a length of 170 ft. Side A will represent a in the pythagorean theorem, side B will represent b, and side C (hypotenuse) will represent c in the equation. If the equation holds true, then the triangle is a right triangle.

So, we plug it in. a^2 + b^2 = c^2 becomes (80)^2 + (150)^2 = (170)^2

(80)^2 + (150)^2= 28,900

(170)^2= 28,900

since the answers are the same, we know the equation holds true, and thus the triangle is a right triangle. Hope this helps!!

Answer:

Q = 108°

R = 72°

Step-by-step explanation:

Quadrilateral means this is a four-sided shape. Parallelogram means that both sets of opposite side are parallel, so all the angles are either equal or add up to 180° (supplementary)

The order of the letters matters bc PQRS means that you go along an edge from P to Q, but you have to go thru the middle of the shape to get from P to R. So P and Q add up to 180°.

P + Q = 180°

72° + Q = 180°

Q = 108°

Opposite from each other, across the middle of the shape, P and R are equal.

P = R = 72°

This situation should be analyzed using a two-sample independent method. The two-sample independent method is used when comparing two independent groups, in this case, taxi ride times in San Diego and Phoenix. The two-sample paired method is used when comparing the same group under two different conditions, which is not the case here, as the taxi ride times are taken from two separate cities. There is no common characteristic that makes these data paired.

A two-sample independent method is used to compare the means of two independent populations, which is appropriate for this situation. The independent samples t-test is a common statistical test used to compare the means of two independent populations.On the other hand, if the data were obtained from the same set of taxis in both cities or from the same set of riders in both cities, then the situation would be a paired situation, and a two-sample paired method would be more appropriate.Paired data refers to data that is collected from the same sample, subject, or group at different points in time or under different conditions. For example, if the data were obtained from the same set of taxis in both cities, then the data would be paired because each taxi in San Diego would have a corresponding taxi in Phoenix. Similarly, if the data were obtained from the same set of riders in both cities, then the data would be paired because each rider in San Diego would have a corresponding rider in Phoenix.In summary, since the data in this situation were obtained from two different cities, a two-sample independent method is appropriate. If the data were obtained from the same set of taxis or riders in both cities, a two-sample paired method would be appropriate.

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Answe

Step-by-step explanation: