Suppose that mean retall price per gallon of regular grade gasoline is $3.48 with a standard deviation of $0.10 and thut the ntalfrice pet sulin han a shaped distribution. NOTE: Please use empirical rule approximations for this problem. a. What percentage of regular grade gasoline sells for between $3.28 and $3.68 per galion (to 1 decimal)? \% b. What percentage of regular grade gasoline selis for between $3.28 and $3.58 per gallon (to 1 decimal)? c. What percentage of regular grade gasoline sells for more than $3.68 per gallon (to 1 decimal)? %

Answer:

C i think

Step-by-step explanation:

Once an action is caused, a reaction immediatley happens

Answer:

43 : 25

Step-by-step explanation:

ratios are quantitative relationship between 2 numbers.

adults = 25

kids = 43

ratio of kids to adults at the park should be shown as

(kids) : (adults)

*these numbers cannot be simplified.

plug the numbers in:

43 : 25

Answer:

No, the function isn't linear. I know because the following points don't form a line. The values for the last 3 are y=-x.

Step-by-step explanation:

I'm so sorry. I can't find the rate of change. Use this image to help.

Answer:

it should be 4.24264068712 looked it up

Answer:

18 doesn't have a square root but you can simplify it

\( \sqrt{18 } \)

then you take 9 which is a square number and divide it to get 3 which you'll place on the outside

\( 3\sqrt{2} \)

Answer:

Arc=4\(\pi\)

Step-by-step explanation:

The formula to get the length of arc is

Arc= degree x \(\pi\)/180 x radius

Going by this formula, we can plug in a few numbers:

Arc= 80 x \(\pi\)/180 x 9

Since it says to go off of term pi, we can simplify the 80 and the fraction and simplify.

Arc=80\(\pi\)/180 x 9

Arc=4\(\pi\)/9 x 9

Simplify, the nine cancels out

Arc=4\(\pi\)

Answer:

expanded:

y = sin(4x)*sin(4x)*cos(3x)

need to use the product rule and chain rule

look at individual derivatives, use chain rule

d/dx sin(4x) = 4cos(4x)

d/dx cos(3x) = -3sin(3x)

put it together using product rule

dy/dx = 4cos(4x)*sin(4x)*cos(3x) + 4cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin(4x)*sin(4x)

simplify

dy/dx = 8cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin2(4x)

answer is A.

Hope it helps friend request me and I'll accept xx:)

Answer:

16

Step-by-step explanation:

Answer: 1/2 of an answer is zero answer.

Step-by-step explanation:

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Given:

Aim:

We need to find the trigonometric function and the quadrant of the angle.

Explanation:

Take inverse trigonometry on both sides of the equation.

Final answer:

The required volume of the given solid is (√16 - r²) -(-√16 - r²).

The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.

Volume and the notion of length are connected.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.

The cubic meter (m3), a derived unit, is the SI unit of volume.

So, the integrand often takes the form z upper z lower, where z stands for the solid's lower and upper borders.

We are treating the sphere as a hemisphere as of right now, with the XY-plane serving as its lower boundary. Consequently, you must multiply by 2.

The solid's volume is (√16 - r²) -(-√16 - r²).

Therefore, the required volume of the given solid is (√16 - r²) -(-√16 - r²).

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Correct question:

Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.

Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%

Answer:

9

Step-by-step explanation:

;)

Answer:

Our system of equations is:

We are looking for x

Let's express y using x

Replace x in the second equation with the result

4x²+20x+3=0 is a quadratic equation

Let Δ be our discriminant

Δ= 20²-4*4*(-3)

Δ=448 > 0 so we have two solutions for x

let x and x' be the solutions

so the solutions are:

-5.15 and 0.15

Answer:

x=4 so both the answer is 0

Step-by-step explanation:

3x-12=x-4

3x-x=-4+12

2x=8

2x÷2=8÷2

x=4

so

3x-12=4-x

3×4-12=4-4

12-12=4-4

0=0

Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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Answer:

2/3

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( 3-1)/(5-2)

   = 2/3

Answer:

2/3

Step-by-step explanation:

Use the equation y2-y1/x2-x1

So, 3-1/5-2

2/3

The sequence after subtracting n² from original sequence is :

132, 650 , 2070, 5112, 10712, 20022 .

A sequence is a collection of real and natural numbers where each term or list of elements is ordered in a specific order and repetitions are permitted.

Let n be the nth term of the sequence.

First term, a₁ = 12

n² = 12² = 144

Second term, a₂ = 26

n² = 26² = 676

Third term, a₃ = 46

n² = 46² =2116

Fourth term, a₄ = 72

n² = 72² = 5184

Fifth term, a₅ = 104

n² = 104² = 10816

Sixth term, a₆ = 142

n² = 142² = 20164

The new n² sequence =  144, 676, 2116 , 5184, 10816, 20164

By subtracting n² from n

We get ,  132, 650 , 2070, 5112, 10712, 20022 .

The new sequence = 132, 650 , 2070, 5112, 10712, 20022 .

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Answer:

no

Step-by-step explanation:

Answer:

x=3 and y=2

Step-by-step explanation:

Rewrite equations:

3x−y=7;2x+y=8

Step: Solve3x−y=7for y:

3x−y=7

3x−y+−3x=7+−3x(Add -3x to both sides)

−y=−3x+7

−y

−1

=

−3x+7

−1

(Divide both sides by -1)

y=3x−7

Step: Substitute 3x−7 for y in 2x+y=8:

2x+y=8

2x+3x−7=8

5x−7=8 (Simplify both sides of the equation)

5x−7+7=8+7 (Add 7 to both sides)

5x=15

5x5

=

15/5

(Divide both sides by 5)

x=3

Step: Substitute 3 for x in y=3x−7:

y=3x−7

y=(3)(3)−7

y=2(Simplify both sides of the equation)

the answer to your question is x=0

X=0

−32−8x=−7x+8(8x−4)

−8x−32=−7x+8(8x−4)

−8x−32=−7x+64x−32

−8x−32=57−32

−8−32+32=57−32+32

−8=57

An atom with a mass number of 80 and 35 neutrons will have 45 protons, and isotopes are atoms with a different number of protons and neutrons.

An atom with a mass number of 80 and with 35 neutrons will have: c) 45 protons.

The number of protons in an atom is determined by its atomic number, which is the same for all atoms of a particular element. Since the number of neutrons is given as 35, we can subtract this from the mass number (80) to find the number of protons: 80 - 35 = 45.

Isotopes are atoms with: a) a different number of protons and neutrons.

Isotopes are variants of an element that have the same number of protons (same atomic number) but different numbers of neutrons (different mass numbers). This difference in the number of neutrons leads to variations in the atomic mass of the isotopes.

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In the special case of two degrees of freedom, the chi-squared distribution does not coincide with the exponential distribution. The chi-squared distribution is a continuous probability distribution that arises in statistics and is used in hypothesis testing and confidence interval construction. It is defined by its degrees of freedom parameter, which determines its shape.

On the other hand, the exponential distribution is also a continuous probability distribution commonly used to model the time between events in a Poisson process. It is characterized by a single parameter, the rate parameter, which determines the distribution's shape.

While both distributions are continuous and frequently used in statistical analysis, they have distinct properties and do not coincide, even in the case of two degrees of freedom. The chi-squared distribution is skewed to the right and can take on non-negative values, while the exponential distribution is skewed to the right and only takes on positive values.

The chi-squared distribution is typically used in contexts such as goodness-of-fit tests, while the exponential distribution is used to model waiting times or durations until an event occurs. It is important to understand the specific characteristics and applications of each distribution to appropriately utilize them in statistical analyses.

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The economic order quantity (EOQ) for Fullerton IV Company is 100 units. The total inventory cost (TIC) is $200.

The economic order quantity (EOQ) for Fullerton IV Company can be calculated using the given information. The EOQ formula is:

EOQ = √((2 * S * F) / C)

where S is the total annual sales, F is the ordering cost per order, and C is the carrying cost as a percentage of the purchase price.

Given data:

Ordering cost (F) = $10 per order

Carrying cost (C) = 20% of purchase price

Purchase price (P) = $10 per unit

Total sales per year (S) = 1,000 units

Substituting these values into the formula, we get:

EOQ = √((2 * 1,000 * 10) / (0.2 * 10))

Simplifying further:

EOQ = √(20,000 / 2)

EOQ = √10,000

EOQ = 100

Therefore, the economic order quantity (EOQ) for Fullerton IV Company is 100 units.

To calculate the total inventory cost (TIC), we need to consider both the ordering cost and the carrying cost. The formula for TIC is:

TIC = (S / EOQ) * F + (EOQ / 2) * C * P

where S is the total annual sales, EOQ is the economic order quantity, F is the ordering cost per order, C is the carrying cost as a percentage of the purchase price, and P is the purchase price per unit.

Substituting the given values into the formula, we have:

TIC = (1,000 / 100) * 10 + (100 / 2) * 0.2 * 10

Simplifying further:

TIC = 10 * 10 + 50 * 0.2 * 10

TIC = 100 + 100

TIC = 200

Therefore, the total inventory cost (TIC) for Fullerton IV Company is $200.

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Answer:

\(0.2\ km\ per\ minute\)

Step-by-step explanation:

\(As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\\)

\(x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute\)

Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Answer:

a regular pentagon has 72 degrees

Step-by-step explanation:

A jacket with an original cost of $82 is on sale. The cost of the deal is $74.50. The percentage change does the discount represent is 9%.

Percentage change = (amount of increase or decrease) / original amount

= original amount-new amount/ original amount

= (82.74.50)/82

=7.5/82

≈0.09

=9%

What is percentage change?

A quantity's percentage change is equal to the ratio of the difference between the quantity's current value and its starting value multiplied by 100. When a quantity's ultimate value is determined by increasing or decreasing a percentage of its original value, there is always a change in the quantity's percentage change (or percent change).

The difference that results from subtracting the old value from the new value, dividing by the old value, and multiplying the result by the old value is the percentage change. Typically, we multiply a fraction by 100 to create a percent.

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