Lucy installs a tower bar 10 3/4 inches long in the center of a door 29 1/2 inches wide. How far is each end of the bar from nearer edge of the door? Estimate the distance from each end of the towel bar to the nearer edge of the door. Expain your reasoning

Answer:

9/8 m = 21/8

or

9m/8 = 21/8

Step-by-step explanation:

3m = 7

3/8 × 3m = 3/8 × 7

9/8 m = 21/8

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

A number that has all its digits 1/10 of the value compared to the digits in Sid's number 23,459 is 0.2, 0.3, 0.4, 0.5, and 0.9.

Sid wrote the number 23,459. To find a number that has all its digits 1/10 of the value compared to the digits  to the digits in Sid's number, we can follow these steps:

1. Break down Sid's number into its individual digits: 2, 3, 4, 5, and 9.

2. To find a number with digits 1/10 the value, we divide each digit by 10.

  - For the digit 2, 1/10 of its value is 0.2.
  - For the digit 3, 1/10 of its value is 0.3.
  - For the digit 4, 1/10 of its value is 0.4.
  - For the digit 5, 1/10 of its value is 0.5.
  - For the digit 9, 1/10 of its value is 0.9.

3. Combine these digits together to form a new number: 0.2, 0.3, 0.4, 0.5, and 0.9.

4. The new number is 0.2, 0.3, 0.4, 0.5, and 0.9.

Therefore, a number that has all its digits 1/10 of the value compared to the digits in Sid's number 23,459 is 0.2, 0.3, 0.4, 0.5, and 0.9.

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Steps Using Factoring By Grouping

\(4 {s}^{2} - 12s = - 9\)

\(4 {s}^{2} - 12s + 9 = 0\)

\((4 {s}^{2} - 6s) + ( - 6s + 9) = 0\)

\(2s(2s - 3) - 3(2s - 3) = 0\)

\((2s - 3)(2s - 3) = 0\)

\((2s - 3) {}^{2} = 0\)

 ‍ 

\(2 s - 3 = 0\)

\( \: \: \: \: \: \: \: 2s = 0 + 3\)

\( \: \: \: \: \: \: \: 2s = 3\)

\( \: \: \: \: \: \: \: \: \: s = \frac{3}{2} \)

\( \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} \)

\( \: \: \: \: \: \: \: \: \: s = 1,5\)

\( \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}\)

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Log x+y = logbx − logbyGiven log630 ≈ 1.898 and log62 ≈ 0.387, log615 ≈ 2.086.

Given log 630 ≈ 1.898 and log 62 ≈ 0.387,

We have log 630 = log (6 * 62 * 10) = log 6 + log 62 + log 10 = 1 + 0.387 + 1 = 2.387

And log 615 = log (6 * 62 * 5) = log 6 + log 62 + log 5 = 1 + 0.387 + 0.699 = 2.086

So, log 615 ≈ 2.086

In the example given, log 630 ≈ 1.898 and log 62 ≈ 0.387. These logarithmic values are used to simplify other logarithmic expressions and, the logarithm of 615 was found to be approximately 2.086.

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The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

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Answer:

1. Add x on both sides.

2.  Divide both sides by 4.

3. Add 20 to both sides.

4. Divide both sides by 3.

Brainliest Appreciated! Hope I helped!

Answer:

common multiples

Step-by-step explanation:

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to \(\frac{3}{2}\)

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (r, - 4)

m = \(\frac{-4-2}{r-3}\) = \(\frac{-6}{r-3}\) , then equating gives

\(\frac{-6}{r-3}\) = \(\frac{3}{2}\) ( cross- multiply )

3(r - 3) = - 12 ( divide both sides by 3 )

r - 3 = - 4 ( add 3 to both sides )

r = - 1 → B

Answer:

0.5

Step-by-step explanation:

→ Find the difference in y

7 - 3 = 4

→ Find the difference in x

9 - 1 = 8

→ Divide the results

4 ÷ 8 = 0.5

Answer:

The slope is 1/2 (m=1/2)

Step-by-step explanation:

Use the slope formula: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. \(\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}\)

The equation should be rearranged such that "y" is on the left and everything else is on the right.

Plot the "y=" line, using a solid line for y or y and a dashed line for y or y>. For "more than" or "less than" indications, shade above the line (y> or y), or below the line variable (y or y).

The symbols for less than and less than or equal to are "" and "," respectively. In contrast to less than or equal to, which requires that the variable or quantity be either equal to or less than the specified limit, less than means that the variable or quantity must have a value lower than the specified limit. There must be a difference between a and b's values.

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The complete question is " How do you graph the inequality y≥−5?"

Larger the value of r² (R²) imply that the observations are more closely grouped about the least squares line (regression line) option C.

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established.

As the (R2) is large therefore, the model is a good fit or bounded close to  regression line least squares line (regression line).

In a regression graph, the regression line that is closest to the data points is shown. By changing the value of x in the regression equation, this statistical tool helps study how a dependant variable y behaves when the independent variable x changes.

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Complete question:

Larger values of r2 (R2) imply that the observations are more closely grouped about the

Group of answer choices:

The area of the complex figure is 1863 m².

What is area?

Area is a measure of the size or extent of a two-dimensional surface or shape, such as a square, circle, or rectangle. It is the amount of space inside the boundaries of a shape, usually measured in square units such as square meters (m²), square feet (ft²), or square centimeters (cm²).

The area of give figure :

= area of two rectangles + area of middle rectangle

we know that area of rectangle is length* breadth

so, area of give two rectangles = 2 × length × breadth

                                                  = 2 × 31 × 23

                                                   = 1426m²

similarly, area of the middle rectangle  = length × breadth

                                                                =  (69-23-23) × (31-12)

                                                                = 23 × 19

                                                                = 437 m²

∴ The area of give figure= 1426m²+437 m²

                                        = 1863 m²

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Answer:

5.76106287

Step-by-step explanation:

Answer: 5.76106287488

Step-by-step explanation:

Answer:y=14

Step-by-step explanation:

Answer:

357

Step-by-step explanation:

1 take the smallest rectangle and multiply 4*8 and you get 32

2 add 4+15 to get 19 and multiply that by 11 and you get 209

3 multiply 4* 29 to get 116

4 add them all together and you get 357

Answer

20

Step-by-step explanation: Divide 200 to 10

The number of weeks after which there will be no money left in the account is 20 weeks.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Initial amount = $200

Amount withdrawn each week = $10

The number of weeks after which there will be no money.

Weeks = x

200 - 10x = 0

200 = 10x

x = 200 / 10

x = 20

Thus,

The number of weeks is 20.

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The dimensions of the closet are 4 feet long and 12 feet wide and the perimeter is 32 feet

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

P=2(l+w) where l=length and w = width

Given here rectangular closet is 4 feet long and It is 3 times as wide as it is long. Thus its width would be 12 feet

Now perimeter of the closet using the formula above we get

P = 2(4+12)

   = 32 feet

Hence the perimeter is equal to 32 feet.

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The median of the data set is 10.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. It is a measure of central tendency.

Data set = 8, 8, 9, 10, 12, 12, 13

Median = 10

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

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond\)

          What is the median of this dataset?

\(\diamond\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond\)

❖ First, arrange the data in the data set from least to greatest:-

\(\textsc{12, 8, 9, 12, 10, 13, 8}\mapsto\textit{8, 8, 9, 10, 12, 12, 13}\)

Now, the median is the number in the middle, or

\(\textit{10}\)

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

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The Above expression can we showed as :

here, the squared number is x

The total length of the parallelogram-shaped cross-country course is equal to 26 miles.

We can calculate the total length of the cross-country course using the formula for the perimeter of a parallelogram, which is twice the sum of the lengths of its adjacent sides. In this case, the adjacent sides are the base of length 7 mi and the side of length 6 mi.

So, we can find the total length by first finding the sum of these two sides:

7 mi + 6 mi = 13 mi

Then, we can multiply this sum by 2 to get the total length:

2 x 13 mi = 26 mi

Therefore, the total length of the cross-country course is 26 miles.

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Answer:

27.7m

Step-by-step explanation:

Step 1

We find the Circumference of the nylon thread.

The formula = 2πr

The diameter of the thread = 0.88m

Radius = Diameter/2

= 0.88m/2

= 0.44m

Circumference = 2 × π × 0.44m

= 2.7646015352m

Approximately = 2.765m

Step 2

We calculate the distance

Number of revolutions = 10

Therefore, the Distance or how far the metal weight can travel =

Circumference of the wheel × Number of revolutions

= 2.765m × 10

= 27.65m

Approximately to 1 decimal place = 27.7m

Answer:

32 sticks would be in pattern number 6

The original selling price would be $ 514.87approximately.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider x be the original selling price After marking down 10%,

Then New selling price = x - 10 % of x

= 0.9x

Again after marking down 30%, then equation form

Final selling price = 0.9x - 30% of 0.9x

Final selling price = 0.9x - 0.30 of 0.9x

Final selling price = 0.63x

According to the question,

0.63x = 322

x = 514.87

Hence, The original selling price would be $ 514.87approximately.

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Answer:

see below

Step-by-step explanation:

You need to know the base a and height h.

then use formula

Area = a²+2a+√(a²/4+h²)

Answer:

75y22cm

76c x 34 =876

Step-by-step explanation:

Answer:

I like yo cut gggggggggggg

Answer:

\(x = 180\)

Step-by-step explanation:

Solve the value of \(x\) :

\(0.25x + 7 = \frac{1}{3}x - 8\)

-Combine \(\frac{1}{3}x\) and \(0.25x\) by subtracting \(0.25x\) by \(\frac{1}{3}x\) :

\(0.25x - \frac{1}{3}x + 7 = \frac{1}{3}x - \frac{1}{3}x - 8\)

\(-\frac{1}{12}x + 7 = -8\)

-Subtract \(7\) on both sides:

\(-\frac{1}{12}x + 7 - 7 = -8 - 7\)

\(-\frac{1}{12}x = -15\)

-Multiply both sides by \(-12\), the reciprocal of \(-\frac{1}{12}\) :

\(\frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}\)

\(x = -15 (-12)\)

\(x = 180\)

Therefore, the value of \(x\) is \(180\).