Americans consume on average 32. 3 lbs of cheese per year with a standard deviation of 8. 7 lbs. Assume that the amount of cheese consumed each year by an American is normally distributed. An American in the middle 70% of cheese consumption consumes per year how much cheese?

Answer:

Step-by-step explanation:

g(x) = x^2 + 6

f(x^2 + 6) = 2(x^2 + 6) + 1 = 2x^2 + 12 + 1 = 2x^2 + 13

The total number of white tiles that Paul used is 54

From the question, we have the following parameters that can be used in our computation:

Length of the entire floor = 9 feet

Width of the entire floor = 12 feet

The total number of white tiles used is calculated as

Total number of white tiles used = Length of the entire floor * Width of the entire floor/2ft²

Substitute the known values in the above equation, so, we have the following representation

Total number of white tiles used = 9ft * 12ft/2ft²

Evaluate

Total number of white tiles used = 54

Hence, the white tiles are 54

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Answer:8640 square inches

Step-by-step explanation:

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

The required probability of occupying seats at the end of the row by April and Bobby is equals to 0.0333.

We have,

Number of chairs in a row =  5

April and Bobby need to occupy the two end chairs.

The other two people, Bill and Candace, can sit in any of the 3 remaining chairs.

The total number of ways to seat the 4 people in the 5 chairs is

= 5!/(5-4)!

= 5x4x3x2

= 120.

April can sit in either of the two end chairs, and then Bobby can sit in the other end chair.

Bill and Candace can then sit in either of the two remaining chairs, in either order.

The number of ways to seat April and Bobby at the ends of the row is,

=  2x1x2x1

= 4.

Probability that April and Bobby will occupy the seats at the end of the row is,

4/120

= 1/30

= 0.0333

Therefore, the probability of April and Bobby occupy seats at the end of the row is 1/30 or approximately 0.0333.

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Answer:

its B

Step-by-step explanation:

hopefully this helps.

A battery is a nice illustration. Atoms have had their electrons chemically removed in batteries. Because the positive ions and electrons are stored at the opposing ends of the battery, there is a potential difference between the two ends.

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Answer:

Step-by-step explanation:

15 - x = 3x + 3

15 - x = 3•x + 3

4x = 12

x = 3

Sorry, I change the b and a into x's if that's fine with you.

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The calculated value of x in the pentagon is 121

From the question, we have the following parameters that can be used in our computation:

The pentagon (see attachment)

The sum of angles in a pentagon is

Sum = 180 * (n - 2)

Where

n = 5

So, we have

Sum = 180 * (5 - 2)

Evaluate

Sum =  540

Algebraically, we have

x + 87 + 92 + 105 + 135 = 540

So, we have

x + 419 = 540

Subtract 419 from both sides

x = 121

Hence, the value of x is 121

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43.96 cm

≈ 44 cm

Hi !

C₁ = 2π×r₁

C₂ = 2π×r₂

C₂ - C₁ = 2π×r₂ - 2π×r₁

= 2π(23cm - 16cm)

= 2×3.14×7

= 43.96 cm

≈ 44 cm

Good luck !

Answer:

44 cm

Step-by-step explanation:

r = 16,R = 23;2πR - 2πr

2π(R - r)

2 ×22/7(23 -16)

2×22/7×(7)

2×22=44cm...

Consequently, the graph is correct; and the x values for the solutions are x = -2 and x = 0.

The solution to f(x) = g(x) is the value(s) of x that satisfy the equation. In other words, it is the value(s) of x that make f(x) equal to g(x).

The only problem here is determining which graph is correct:

f(x) is the same on both graphs;

g(x) = 2 |x + 2| is the absolute value graph of lxl stretched vertically two units to the left;

the "vertex" of lxl is (0, 0);

consequently, the first graph is correct; and the x values for the solutions are x = -2 and x = 0.

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Answer:

just needed to answer a question

Step-by-step explanation:

just think about what sounds like it goes together

Answer:

measure or arc BAC should be 297 degrees (with assumptions)

Step-by-step explanation:

Assumption 1: the cap Z in your question is actually an angle symbol

Assumption 2: A is the center of the circle

IF these assumptions are true, then the measure of arc BAC is 36 - 63 = 297 degrees

Answer:

4 is your answer

Step-by-step explanation:

After answering the provided question, we can conclude that the average (arithmetic mean) of 2x and 2y is 48.

The mean of a dataset is the sum of all values divided by the total number of values; this is also known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the total number of values in the dataset by the sum of those values yields this result. Calculations can be performed using both raw data and data that has been combined into frequency tables. The average of a number is referred to as its average. It is simple to calculate: Divide the total number of digits by the number of digits. the total divided by the count.

The average (arithmetic mean) of 2x and 2y is 48.

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The learning curve for the given scenario can be determined by calculating the values of a and b using the formula \(Y = a * X^b\). By analyzing the time taken for the first and fourth units, we can establish the learning curve for subsequent units.

The learning curve for the given scenario can be calculated using the concept of cumulative average time per unit.

The formula to calculate the learning curve is:

\(Y = a * X^b\)

Where Y represents the cumulative average time per unit, X represents the cumulative number of units produced, and a and b are constants.

To find the learning curve, we need to determine the values of a and b.

Given that the first unit took 10 hours and the fourth unit took 8.1 hours, we can set up a system of equations to solve for a and b:

\(10 = a * 1^b\) (for the first unit)

\(8.1 = a * 4^b\) (for the fourth unit)

Solving these equations will give us the values of a and b, which will help us establish the learning curve for subsequent units.

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Solve for the unit price of 11.5-ounce package.

Divide the cost by the number of ounce of the package.

$4.24 ÷ 11.5 oz = $0.3690 per ounce

Rounding off to the nearest cent → $0.37 per ounce.

Solve for the unit price of 27.8-ounce package

Do the same as above with its corresponding cost.

$9.98 ÷ 27.8 oz = 0.359 per ounce

Rounding off to the nearest cent → $0.36 per ounce.

Comparing the two, the 27.8-ounce package is much cheaper per ounce than with the 11.5-ounce package, thus the 27.8-ounce package is a better buy.

Answer: Nick must now at least 6 yards.

Step-by-step explanation:

Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:

= 80 + 40y

where y = number of yards

Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:

80 + 40x ≥ 320

40x ≥ 320 - 80

40x ≥ 240

x ≥ 240/40

x ≥ 6

Therefore, Nick must now at least 6 yards.

Answer:

The third option

Step-by-step explanation:

This is because you plug in 1 as a test into each of the equations and see if it equals to 12.25. It works for the third option. To verify that you can also plug in different x values and see if they match the y value.

Answer:

16

Step-by-step explanation:

48 divided by 3 is 16, so each of his friends will get 16 cookies.

Answer:

30 degrees

Step-by-step explanation:

The angles of each side of a hexagon is 120 degrees.

The sum of interior angles in a shape is (n-2) * 180.

So,

(6-2) * 180 = 4 * 180 = 720 degrees

This is the total degrees of the hexagon.

Dividing the total degrees by 6 angles gives us 120 degrees for each angle.

Angle AEF = angle FED - angle AED.

Angle FED = 120 degrees

Angle AED = 90 degrees

120 - 90 = 30 degrees

The area of the irregular shape is 63 ft². Answer: a = 63 ft².

To find the area of the irregular shape, we can break it down into smaller rectangles and triangles, and then sum up their areas.

First, let's calculate the areas of the rectangles:

Rectangle 1: Length = 6 ft, Width = 4 ft

Area = Length × Width = 6 ft × 4 ft = 24 ft²

Rectangle 2: Length = 1 ft, Width = 12 ft

Area = Length × Width = 1 ft × 12 ft = 12 ft²

Rectangle 3: Length = 4 ft, Width = 4 ft

Area = Length × Width = 4 ft × 4 ft = 16 ft²

Now, let's calculate the areas of the triangles:

Triangle 1: Base = 6 ft, Height = 1 ft

Area = (Base × Height) / 2 = (6 ft × 1 ft) / 2 = 3 ft²

Triangle 2: Base = 4 ft, Height = 4 ft

Area = (Base × Height) / 2 = (4 ft × 4 ft) / 2 = 8 ft²

Finally, sum up the areas of all the rectangles and triangles:

Total Area = Rectangle 1 Area + Rectangle 2 Area + Rectangle 3 Area + Triangle 1 Area + Triangle 2 Area

= 24 ft² + 12 ft² + 16 ft² + 3 ft² + 8 ft²

= 63 ft²

Therefore, the area of the irregular shape is 63 ft².

Answer: a = 63 ft².

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The classification system that corresponds to the description "Uses numbers" is the Dewey Decimal System. And The classification system that corresponds to the description "Uses letters" is the Library of Congress System. And, The classification system that corresponds to the description "Used internationally" is the Library of Congress System.

The approach which categorizes all knowledge into twenty-one fundamental categories, each denoted by a single alphabetic letter. The majority of these alphabetical classes are then broken down into more specialized subclasses that are distinguished by two-letter, or sporadically three-letter, combinations.

Libraries classify books according to subjects using the Dewey Decimal categorization system. The shelfmark number assigned to each book is placed in numerical order and is typically located on the spine.

The Dewey Decimal System is a system of classification used in libraries to organize books by subject. It uses a system of numbers to represent different subjects, with each number representing a specific topic or group of topics. For example, the number "500" represents the subject of natural sciences and mathematics, while the number "800" represents literature and rhetoric.

The Library of Congress System is another system of classification used in libraries to organize books by subject. It uses a combination of letters and numbers to represent different subjects, with each letter representing a specific subject area and each number representing a specific topic within that subject area. For example, the letter "A" represents general works, while the letter "Z" represents bibliography and library science.

The Library of Congress System is used internationally in many libraries around the world, while the Dewey Decimal System is used mainly in the United States.

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Uses numbers: Dewey Decimal System

Uses letters: Library of Congress System

Used internationally: Dewey Decimal System

Used mainly ins U.S. colleges and universities: Library of Congress System

This is 100% correct

Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

Answer:

Nancy’s Store

Step-by-step explanation:

To find which store has a better deal we are going to have to find the unit price per pen. To do this we do the following:

2.56/8 and 2.286 after doing both divisions we find that the cost of price per pens is .32$ from Nancy and .38$ from Joe.

Answer:

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

Answer:

i just need points srry

Step-by-step explanation:

The correct statements regarding the exponential expression are given as follows:

A. The value of b is the exponent.

D. The value b tells how many times the value a is multiplied by itself.

The exponential expression in this problem is defined as follows:

a^b.

The terms that describe the expression are given as follows:

Both terms can assume either positive or negative values, and also fractions, and the equivalent of the expression is that the value of the base a is multiplied by itself the exponent b times.

The complete problem is given by the image shown at the end of the answer.

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