The butter distributor charges $4.50 per pound, but there is a handling fee of $8.50 per order. Free shipping for orders between $100 and $400. Write an inequality to represent free orders.

The probability that at least two particles arrive in a two second period is .0003, or 0.03%.

The probability of at least two particles arriving in a two second period can be calculated using the Poisson distribution. The formula for the Poisson distribution is \(P(x; μ) = (e^-μ) (μ^x) / x!\), where μ is the expected number of arrivals (in this case, 80 for two seconds) and x is the number of arrivals (in this case, 2). Plugging the numbers into the formula gives us\(P(2; 80) = (e^-80) (80^2) / 2! = .0003\). Therefore, the probability that at least two particles arrive in a two second period is .0003, or 0.03%.

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The cost of one hamburger and one hot dog = $10.4 and $7.25.

a connection between two or more factors that results in a linear model when displayed on a graph. The variable will have a degree of one.

Y = mx + c is the linear equation.

where the line's y-intercept is represented by c and its m-slope by a slope.

x + y = 17.65                     ...(1)

22x + 39y = 511.55          ...(2)

22(17.65 - y) + 39y = 511.55

388.3 - 22y + 39y = 511.55

17y = 123.25

y = $7.25

x + 7.25 = 17.65

x = 17.65 - 7.25

x = $10.40

The cost of the hamburger and hot dog will be $10.4 and $7.25

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Answer:

Step-by-step explanation:

1 think 12 or 13

the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

a. To find the probability that the player will make both free throws, we simply multiply the probability of making one free throw by itself: 0.94 * 0.94 = 0.8836 (to 4 decimals).

b. To find the probability that he will make at least one free throw, we can use the complement rule. The complement of making at least one free throw is missing both free throws, so we can find the probability of missing both free throws and subtract that from 1: 1 - 0.06 * 0.06 = 0.9964 (to 4 decimals).

c. To find the probability that he will miss both free throws, we multiply the probability of missing one free throw by itself: 0.06 * 0.06 = 0.0036 (to 4 decimals).

d. For the team's worst free throw shooter who makes 56% of his free throws, the probabilities are as follows:

a. The probability of making both free throws is 0.56 * 0.56 = 0.3136.

b. The probability of making at least one free throw is 1 - the probability of missing both free throws: 1 - 0.44 * 0.44 = 0.8044.

c. The probability of missing both free throws is 0.44 * 0.44 = 0.1936.

Comparing the probabilities for the two players, we can see that intentionally fouling the worst free throw shooter is a better strategy. This is because the probability of him missing both free throws is higher (0.1936 vs. 0.0036), which means the opposing team has a greater chance of gaining possession of the ball. In addition, the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

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To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is recommended to add the numbers in ascending order (from smallest to largest) to minimize the accumulation of rounding errors and maintain higher precision during intermediate calculations. Thus, starting with 0.01 and ending with 1.00 would provide better accuracy.

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is generally recommended to use an order that minimizes the accumulation of rounding errors. In this case, it is advisable to start with the smaller numbers and progress towards the larger ones.

By adding the numbers in ascending order (from 0.01 to 1.00), the rounding errors at each step will have a smaller impact on the overall result. This is because adding smaller numbers together first helps maintain a higher level of precision during intermediate calculations.

Therefore, to achieve better accuracy, you should add the numbers in ascending order, starting with 0.01 and ending with 1.00.

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The area of the regular pentagon is approximately 732.34 square inches.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

To calculate the area of a regular pentagon, we can use the formula:

Area = (1/4) ×√(5(5 + 2√5)) × side²

the side length of the pentagon is 22.3 inches, we can substitute this value into the formula:

Area = (1/4)√(5 (5 + 2√5)) (22.3)²

Area = 732.34 square inches

Therefore, the area of the regular pentagon is approximately 732.34 square inches.

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The cost of 12 custom-made T-shirts with 12 words in the design is 149.88 dollars.

The cost for 12 custom-made T-shirts can be represented by the simplified expression 0.75n + 119.88, where n is the number of words in the design. For example, if the design has 12 words, the cost of the 12 T-shirts is 0.75*12 + 119.88 = 149.88 dollars. This expression means that for each T-shirt, there is an additional cost of 0.75 dollars for each word in the design, plus a flat fee of 9.99 dollars per T-shirt. This can be interpreted as the cost of each T-shirt increases with the complexity of the design.

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Answer:

y=r-h

Step-by-step explanation:

Switch side

y+h=r

Subtract h from both sides

y+h-h=r-h

Answer:

y=r-h

Yes, the laws of exponents hold for positive and negative numbers, fractional exponents, and even irrational exponents such as π.

The laws of exponents apply to both positive and negative numbers. For example, when multiplying or dividing numbers with exponents, the exponents can be added or subtracted, respectively, regardless of the sign of the base. Similarly, when raising a number with an exponent to another exponent, the exponents can be multiplied. These rules hold true for positive and negative numbers, allowing consistent manipulation of expressions involving exponents.

Yes, the laws of exponents also hold for fractional exponents. The most common law, the power rule, states that when raising a number to a fractional exponent, the exponent can be expressed as a quotient of integers. This allows us to extend the laws of exponents to include fractional exponents and perform calculations accordingly. For example, we can multiply numbers with fractional exponents by adding the exponents and divide them by subtracting the exponents.

Yes, the laws of exponents also hold for irrational exponents, including numbers like π. Although irrational exponents cannot be expressed as exact fractions or decimals, we can still apply the laws of exponents. When working with irrational exponents, the calculations typically involve approximations or infinite series representations. However, the fundamental rules of exponentiation, such as adding, subtracting, or multiplying exponents, remain valid for irrational exponents as well.

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Answer:

Step-by-step explanation:

First, you have to find the total number of socks. The total is 14. Now, since you choose 2 socks out of 14 in total, the probability is 2/14 or about 14%. To find the percent, just divide the numerator by the denominator. The answer you get is in decimal form. Multiply the decimal by 100. Then, there is your percent.

Answer:

4x^2 -3 + 1/x

Where ;

p(x) =( 4x^2 -3) and k = 1

Step-by-step explanation:

Here, we want to divide the given polynomial

To get this, we can use the method of long division

P(x) will be the quotient of the division, while k will be the remainder of the division

We can see the long division used in as seen in the attachment

So, we have the result as;

4x^2 -3 + 1/x

Where ;

p(x) = 4x^2 -3 and k = 1

To the nearest year, $5,000 invested at 5% per year, compounded daily, will be worth $10,000 in approximately 14 years.

To determine the time it takes for the investment to double, we can use the compound interest formula: A = P(1 + r/n)^(n*t), where A is the future value, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount (P) is $5,000, the annual interest rate (r) is 5% (or 0.05), and the investment is compounded daily, so the number of times interest is compounded per year (n) is 365. We want to find the number of years (t) it takes for the investment to reach $10,000.

Setting up the equation: 10,000 = 5,000(1 + 0.05/365)^(365*t), we can solve for t using logarithms or trial and error. The result is approximately 14 years. Therefore, it will take approximately 14 years for the $5,000 investment to grow to $10,000 at a 5% annual interest rate, compounded daily.

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Answer:

x=54

Step-by-step explanation:

1/3 x 54 = 18, 18 - 2 = 16

:)

Answer:

x=-14

Step-by-step explanation:

first you add 5 to both sides, to get x/2=-7 then multiply each side by two to get x=-14 that is your answer :D

unless, it is \(\frac{x}{2-5}\)=-12 if so than the answer would be 36

To find the first term of an arithmetic sequence, use the formula: first term = last term - (number of terms - 1) * common difference.

To find the first term of an arithmetic sequence given the number of terms, the last term, and the common difference, you can use the following formula

First term = Last term - (Number of terms - 1) * Common difference

Here's how to use this formula

Identify the number of terms, the last term, and the common difference of the arithmetic sequence.

Plug these values into the formula.

Simplify the formula using order of operations (PEMDAS) to find the first term.

For example, let's say we have an arithmetic sequence with 10 terms, a last term of 50, and a common difference of 5. Using the formula above, we get

First term = 50 - (10 - 1) * 5

First term = 50 - 9 * 5

First term = 50 - 45

First term = 5

Therefore, the first term of the arithmetic sequence is 5.

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The given graph of the linear equation has the slope of 1/3.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a graph of a line,

That graph has an x-intercept of -6 and a y-intercept of 2

Hence, the line passes through (-6, 0) and (0, 2)

from the general formula of the slope;

Slope(m) = (y₂ - y₁)/(x₂ - x₁)

Thus,

Slope = (2-0 )/( 0 - (-6))

Slope = 2/6 = 1/3

Therefore, the Slope of the line given in the Graph is 1/3.

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The estimation of the population average family expenditure on entertainment on the sample average expenditure of 900 families is an example of inferential statistics.

Inferential statistics is a branch of statistics that helps in understanding the relationship between a sample and the population. It involves using sample data to make predictions, inferences, and decisions about a population. The estimation of the population average family expenditure on entertainment on the sample average expenditure of 900 families involves estimating the population parameters based on a sample. Here, we are using the sample mean of 900 families to estimate the population mean. This is an example of inferential statistics since we are trying to infer information about the population based on the sample. In conclusion, estimating the population average family expenditure on entertainment based on the sample average expenditure of 900 families is an example of inferential statistics.

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Answer:

first one is A i think Next one is D i think

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

In physics lab, when you measure three quantities of x, y, and z, you can use these mathematical combinations to find meaningful relationships between these quantities:  

In this case, x=2.5 kg, y=0.8 m, and z=4.9 kg/m.

Based on the given quantities' scale, we know that x, y, and z have a relationship where:

z = x/y

Then, the mathematical combinations that might be meaningful are:

- (x/y) - z: This combination gives you the difference between the ratio of x and y, and z. This could be meaningful if you are trying to find the difference between two quantities that have different units.

- (x/z) - y: This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.

- x - (yz): This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.

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Answer:

Solution is correct till finding the roots:

Then Seth should find the respective y- points using either equation:

and

Correct solution is:

Answer:

Seth's answer is incorrect.

Step-by-step explanation:

He is correct with all of his steps until he reaches the roots... the correct roots are, y = 4(3) + 1 = 13 y = 4(-2) + 1 = -7

So the correct answer would actually be: The graphs intersect at the coordinates (3,13) and (-2,-7)

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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Answer: the standard deviation decreases

Step-by-step explanation:

To convert the given polar equation to rectangular form, here are the steps.

1. Remember that sec θ = 1/cos θ. This means, the given polar equation can also be written as:

2. We can multiply cos θ to both sides of the function to remove the cos θ in the right side.

3. Since we know that x = r cos θ, we can say that x = -3. This is the rectangular form of the equation.

Answer:

diagonals are perpendicular

Step-by-step explanation:

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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Area of the shaded region is 135 ft² .

Given,

Shaded and unshaded region of trapezium.

Firstly calculate the area of trapezium,

Area of trapezium = sum of opposite sides/2 × height

Area of trapezium = 18 + 8/2  ×  15

Area of trapezium = 195 ft² .

Now to calculate the area of shaded region,

Total area - unshaded area = shaded area

Area of unshaded region = 1/2× b× h

Area of unshaded region = 1/2 × 15 × 8

Area of unshaded region = 60 ft²

Area of shaded part = 195 - 60

Area of shaded part = 135 ft²

Thus the area of region is calculated to be 135 ft² .

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The expected value of the winnings from this game is $3.24.

To find the expected value of the winnings, we multiply each payout by its corresponding probability and then sum up the results. Let's calculate it step by step:

Payout ($) Probability Payout x Probability

2 0.64 1.28

4 0.18 0.72

6 0.12 0.72

8 0.04 0.32

10 0.02 0.20

Now, let's sum up the values in the "Payout x Probability" column:

1.28 + 0.72 + 0.72 + 0.32 + 0.20 = 3.24

Therefore, the expected value of the winnings from this game is $3.24.

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Answer:

I think not possible to do

Answer:

Hello,

x=5, y=-3, t=-17, z=-43

Step-by-step explanation:

\(\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}^{-1}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}\\\)

\(\\\\\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}5 & -35+3t \\-3 & 105+6t\end{bmatrix}\\\\\)

x=5

y=-3

t=-17

z=-43