Estimate the mean of the distribution. You are given full credit if the estimate is within 2 units of the actual mean. It is okay to use decimals in your answer.

Given the problem:

What is 32% expressed as a decimal?

To convert percentages to decimals, simply divide the percentage by 100. Or move the percentage sign two places to the left and change it to a decimal point.

So the answer is 0.32

Answer:

A. (3 + 4)² - 9

Step-by-step explanation:

She must add 3 and 4 first but in order to do so she must put them in brackets thus correctly following the order of operations

Answer:

(3 + 4)² - 9

3 + 4 first so that goes in brackets

The result is squared so the ² goes outside the brackets

Finally, subtract 9 so that goes after

Answer: 11,923

Step-by-step explanation:

The linear equation for this scenario will be 2(x + x/4)=190 where x=Length.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Perimeter of rectangle=2 (length + Breadth)

Given Perimeter=190

Let length=x

then Breadth will be = x/4

Hence, the perimeter will form linear equation given below

          2(x + x/4)=190

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The area of the shaded region is given as follows:

70 cm².

The area of a triangle is given by half the multiplication of the base and of the height of the triangle.

For the triangle, the area is of 30 cm², while the height is of 6 cm, hence the base is obtained as follows:

0.5 x 6 x b = 30

3b = 30

b = 30/3

b = 10 cm.

Considering the side length of 10 cm², the area of the square is given as follows:

10² = 100cm².

The area of the shaded region is given by the subtraction of the area of the square by the area of the triangle, hence:

100 - 30 = 70 cm².

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When 75°30' converted into radian it will be 1.309 radians.

A radian is a unit of measurement for angles in mathematics. It is defined as the angle formed at the center of a circle by an arc that is equal in length to the radius of the circle. In other words, a radian is the angle that subtends an arc equal in length to the radius of the circle.

The radian is used as a unit of measurement because it provides a convenient and natural way to describe angles in terms of their relationship to circles. It allows for the calculation of angles in terms of lengths, making it easier to solve problems involving circular motion and trigonometry. The conversion between degrees and radians is given by the formula: 1 radian = 180/π degrees, where π is the mathematical constant pi.

To convert degrees to radians, use the formula: radians = (degrees × π) / 180.

For 75° 30', the conversion to radians is:

radians = (75° 30' * π) / 180 = (75 + 30/60) * π / 180 = 1.309 radians.

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Answer:

Just add 5 to the other side

Step-by-step explanation:

x < 9

Answer:The area of the parking lot is length * width. If the width of the parking lot is 8 yards, the area of the parking lot can be represented by the inequality:

Area <= 80

length * 8 <= 80

To get the possible lengths of the parking lot we need to divide both sides by 8:

length <= 10

Therefore, the inequality that describes the possible lengths of the parking lot (in yards) is:

length <= 10 yards

The possible lengths of the parking lot is any value less than or equal to 10 yards.

Step-by-step explanation:

On solving the provided question, we can say that the derivative will be y¹¹( -3 x⁴ )+ y¹12 x³ - 12 x² y= 0

The derivative of a function with real variables in mathematics gauges how sensitively the function's value will change in response to changes in its arguments. Calculus's fundamental tools are derivatives. Differentiation (in mathematics, the rate of change of a function with respect to a variable) (in mathematics, the rate of change of a function with respect to a variable). Calculus and differential equation problem-solving depend heavily on derivatives. Finding the "slope" of a specific function is the definition of "derivative" or "taking a derivative" in calculus. Because it is often the slope of a straight line, the slope should be enclose in quotations. While applying to practically every function, derivatives are measures of rate of change.

Linear second-order differential equation F(x, y, y′, y″) = 0

y¹¹( -3 x⁴ )+ y¹12 x³ - 12 x² y= 0  

differential equation

y = c₁x + c₂x⁴  ...(i)

Differentiating equation (i)

y¹ = c₁(1) +  c₂ ( 4 x³ ) ...(ii)

Differentiating equation (ii)

y¹¹ =   c₂ ( 12 x² )

12 x² y = (y¹12 x³ - 4 x⁴ y¹¹) + x⁴ y¹¹

x⁴ y¹¹ - 4 x⁴ y¹¹ + y¹12 x³ - 12 x² y= 0

y¹¹( -3 x⁴ )+ y¹12 x³ - 12 x² y= 0

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Coach Yamada can make fewer than 10 full teams.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Each team can have 8 players.

and, not more than 80 players can the Coach take.

let x be the number of teams formed then the inequality is

8x < 80

Now, solving the inequality

x< 80/8

x < 10.

Hence, Fewer than 10 full teams can be made.

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The power function, h(x) = [tex]$$3x^{0.5[/tex] then the domain for h(x) is [0, ∞).

A power function is a single-term function that has a real number, a coefficient, and a variable raised to a specified real number as its product. Coefficients are numbers that multiply a variable by itself when it is increased to an exponent.

A variable base raised to a fixed power is a component of a power function. This function is raised to a variable power from a constant base. Not a power function, but an exponential function is what this is.

The power function in statistics is a function that connects the likelihood of rejecting a null hypothesis on the value of a parameter to its true value. An exponential function has its variable in its exponent, whereas a power function has its variable in its base. This is the key distinction.

Therefore, the correct answer is option a) The domain for h(x) is [0, ∞).

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The Range is the first component of the formula in parentheses.

What is Range

The range in statistics is the difference between the highest and lowest values for a specific data collection. For instance, if the given data set has the values 2, 5, 8, 10, and 3, the range will be 10 - 2 = 8.

It is possible to think of the range as the distance between the highest and lowest observation as a result. The consequence is known as the scope of observation. The breadth of statistics reflects the diversity of observations.

The first component of a sum or count calculation that is enclosed in the parenthesis is the Range.

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The solution set of the system of linear equations is (x1, x2, x3) = (3/2, 3/2, −1/4).

We can solve this system of linear equations using Gaussian elimination method.

Step 1: Add the first row to the second row:

leftbracket3.gif 2 1 −1 3 rightbracket3.gif

1 −1 1 0 2

0 1 2 1

Step 2: Subtract 2 times the second row from the third row:

leftbracket3.gif 2 1 −1 3 rightbracket3.gif

1 −1 1 0 2

0 0 4 −1

Step 3: Divide the third row by 4:

leftbracket3.gif 2 1 −1 3 rightbracket3.gif

1 −1 1 0 2

0 0 1 −1/4

Step 4: Subtract the third row from the first row:

leftbracket3.gif 2 1 −1 3 rightbracket3.gif

1 −1 0 −1/4 7/4

0 0 1 −1/4

Step 5: Add 4 times the second row to the first row:

leftbracket3.gif 2 0 −5/4 3 rightbracket3.gif

1 0 1 −1/4 −1/4

0 0 1 −1/4

This echelon form gives us the solution:

x3 = −1/4

x2 = 7/4 + x3 = 7/4 − 1/4 = 3/2

x1 = 3 − x2 = 3 − 3/2 = 3/2

So, the solution set of the system of linear equations is (x1, x2, x3) = (3/2, 3/2, −1/4).

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Each month, the interest for the current balance is calculated as:

$3,287.90 * 14.5% / 12 = $48.22

How Do Interest Rates Work?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).

The new balance after each payment is:

$3,287.90 + $48.22 - $1,200.00 = $2,147.12

Repeat the calculation until the balance is zero:

Month 1:

Balance: $3,287.90

Interest: $48.22

New Balance: $2,147.12

Month 2:

Balance: $2,147.12

Interest: $31.14

New Balance: $1,178.26

...

Month 26:

Balance: $0.00

So, it takes 26 months to pay off the credit card, and the total amount paid including interest is $31,622.68.

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Answer:

Step-by-step explanation:

Let r be the cost of each juice bottle.

The total cost of the juice bottles is 10 * r = 10r.

The total cost of the apples and the juice is $1.59 + 10r = $7.39.

We can set up an equation using the above information:

$1.59 + 10r = $7.39

10r = $7.39 - $1.59 = $5.80

r = $5.80 / 10 = $0.58

Therefore, each juice bottle costs $0.58.

Answer:

Below

Step-by-step explanation:

Calculate the unit price of $ per ounce of the 4 options to find the smallest

$2 / 4 = .50 per ounce

4.25 /8 = .53

6/12 = .50

6.75/18 = .375 per ounce   <=====cheapest

Answer:

Below

Step-by-step explanation:

L x W = 438

L = 438/W

L = 438/3 = 146 ft

then perimeter = 3 + 3 + 146 + 146 = 298  ft

Answer:

It should be 146

An initial value differential equation is S(t) = 10 * e^(-0.005t).

The initial value differential equation for the amount of sugar in the tank can be modeled as:

dS/dt = (0.2 kg/L) * 10 L/min - (S/400 L) * 10 L/min

        dS/S = -0.005 dt

        ln(S) = -0.005t + C

        ln(10) = C

        S(t) = 10 * e^(-0.005t)

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Yes, it is possible to have a graph of a function that is symmetric about both the y-axis and the origin. This means that if (x, y) is a point on the graph, then (-x, y) and (x, -y) are also points on the graph.

In other words, the function has both reflectional symmetry about the y-axis and rotational symmetry about the origin. An example of such a function is y = x², which is a parabolic function that opens upwards and is symmetric about both the y-axis and the origin.

A graph is symmetric about the y-axis if the graph is unchanged when reflected over the y-axis. This means that for any point (x,y) on the graph, the corresponding point (-x,-y) will also be on the graph. A graph is symmetric about the origin if the graph is unchanged when reflected over the origin.

Therefore, This means that for any point (x,y) on the graph, the corresponding point (-x,y) will also be on the graph. When a graph is symmetric about both the y-axis and the origin, it means that the graph is unchanged when reflected over either the y-axis or the origin.

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A. 5 feet is the length of bookshelf C.  

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

this is a Pythagorean theorem problem, and it involves right triangles.

If this is the case, then we can use the formula: a² + b² = c².

In this case, it gives us the values of a and b,

so we have 3² + 4² = c².

This is equal to 9 + 16 = c², and further simplified, 25 = c².

So we can then find the square root of 25,

written as √25, which would equal 5,

as 5² = 5 * 5,

and 5 * 5 = 25.

So therefore your answer would be A. 5 feet.

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The amount of  each type that should be mixed in order to have 20 pounds of coffee mixture that is worth ​$4.50 per​ pound is: 10  pounds $6.00 Gourmet coffee, 10 pounds $3.00 Cheap brand.

Gourmet coffee $6.00 ---- x pounds

Cheap brand $3.00 --- 20 - x pounds

Mixture $4.50 ---- 20

6 x + 3 ( 20 - x ) = 4.50 × 20

6 x + 3 ( 20 - x ) = 90

6 x + 60 - 3 x = 90

Collect like terms

6 x - 3 x = 90 -60

3 x = 30

x = 10

Cheap brand

20-x pounds

20-10

=10 pounds $3.00 Cheap brand

Therefore 10 pounds and 10 pounds should be mixed.

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The solution of the addition of term is; 43/4

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given terms as;

4 2/8+ 9 4/8

We have to add the terms, so first convert into normal fraction.

4 2/8 = 10/8

9 4/8 = 76/8

Now add;

10/8 + 76/8

= 86/8

= 43/4

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Answer:

13 6/8

Step-by-step explanation:

Answer:

[tex]a (5)[/tex]

[tex]b (0,5)[/tex]

[tex]c (-3,0,5)[/tex]

[tex]d (1/3, 5/8, 66/67, -1.27)[/tex]

[tex]e( \sqrt{2} \: \sqrt{7} \: )[/tex]

[tex]f( - 3 \: 5 \: \frac{1}{3} \: \frac{5}{8} 0 \: \sqrt{2 \:} \sqrt{7} - 1.27 \: \frac{66}{67} )[/tex]

The reconciled balance would be:

$2,314.22 (bank statement balance) + $35.50 (interest earned) - $504.13 (checks outstanding) - $25.00 (monthly service charge) = $1,820.59

Based on the information provided, the area of this triangle is 44.17 square centimeters.

The area of a triangle  (surface occupied by the triangle) can be calculated using the three lengths of the sides of the triangle or using two sides and one angle as it is shown below:

Based on this, the area of the triangle given is 44.17 square centimeters.

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The length of o to the nearest centimeter is 91 cm.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

We have the law of sine of triangles, which is stated as,

a / sin A = b / sin B = c / sin C

where a, b and c are the sides opposite to the angles of the triangle A, B and C respectively.

Given, In ΔOPQ, m ∠O=113° and m ∠P=18°.

m ∠Q = 180° - (m ∠O + m ∠P)

          = 180° - (113° + 18°)

          = 49°

q / sin Q = o / sin O

o = (q / sin Q) (sin O)

  = (75 / sin 49°) (sin 113°)

  = (75 / 0.7547) (0.9205)

  = 91.476 cm

  ≈ 91 cm

Hence the length of o is 91 cm.

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Answer: 91 is the answer on dlta