Ms.Maxwell bought a purse with 1/4 of her money. The purse cost $37.00. How much money did Ms.Maxwell have left after she bought the purse?

Answer:

1 1/8

Step-by-step explanation:

Answer:

1 1/8

Step-by-step explanation:

Answer:

20 5/8

Step-by-step explanation:

here u gooooo that's the answer

If 18,793 is multiplied by 1000, then the product of this arithmetic equation will be equal to 18,793,000.

The arithmetic equations are the mathematical problems which includes simple functions such as addition (summation), subtraction, multiplication and division. The function of multiplication is also called as repeated addition. In the given question, the multiplicand is 18,793 and the multiplier is 1000 and the result which we get that is 18,793,000 is called as product.

The multiplicand is always written first. When the multiple of 10 is multiplied to any number, the general rule says that there is simple addition of zeroes in the right hand side of the number if is not in decimal form. If the number is in decimal form, the decimal point shift to the right hand side as many times as there are zeroes in the multiplier.

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The sorted array after applying the PARTITION algorithm using the first element (5) as the pivot.

To illustrate the operation of the PARTITION algorithm on the given array {5, 1, 2, 7, 9, 3, 7, 8, 4}, we'll follow the steps of the algorithm and show the array at each step.

1: Choose the first element, 5, as the pivot.

{5, 1, 2, 7, 9, 3, 7, 8, 4}

2: Reorder the array so that all elements smaller than the pivot (5) come before it, and all elements larger than the pivot come after it. This is done by swapping elements.

{4, 1, 2, 3, 5, 9, 7, 8, 7}

3: The pivot is now in its final sorted position. Divide the array into two subarrays, one to the left of the pivot (elements smaller than the pivot) and one to the right of the pivot (elements larger than the pivot).

Left subarray: {4, 1, 2, 3}

Right subarray: {9, 7, 8, 7}

4: Recursively apply the PARTITION algorithm to the left and right subarrays.

For the left subarray:

Choose the first element, 4, as the pivot.

{4, 1, 2, 3}

Reorder the array:

{3, 1, 2, 4}

The left subarray is now sorted.

For the right subarray:

Choose the first element, 9, as the pivot.

{9, 7, 8, 7}

Reorder the array:

{7, 7, 8, 9}

The right subarray is now sorted.

5: The entire array is now sorted.

{3, 1, 2, 4, 5, 7, 7, 8, 9}

This is the final sorted array after applying the PARTITION algorithm using the first element (5) as the pivot.

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Answer:

Total cookies (including all types) made by Hilary = 48 + Y

Step-by-step explanation:

Total chocolate chip cookies made by Hillary = 48

Total sugar cookies made by Hillary = Y

Total cookies (including all types) made by Hilary = Total chocolate chip cookies + Total sugar cookies

Substituting the given values, we get -

Total cookies (including all types) made by Hilary = 48 + Y

Answer:

48+y

Step-by-step explanation:

Answer:

x + x + 1 + x + 2 = 78  or  3x + 3 = 78

Step-by-step explanation:

Let x = smallest5 of the three integers.

Then, the other two integers are x + 1 and x + 2.

The equation is:

x + x + 1 + x + 2 = 78

which can be simplified to

3x + 3 = 78

The Lagrange polynomial basis L = {l0(t), l1(t),..., ln(t)} is a set of polynomials with specific properties: li(t_i) = 1 for all i = 0, 1,..., n, and li(t_j) = 0 for all i, j = 0, 1,..., n, where i ≠ j. This basis allows you to represent any polynomial p(t) in Pr by a linear combination of the Lagrange polynomials in the basis L.

Polynomials are mathematical expressions consisting of variables and coefficients, often used in algebra and calculus. In this context, we are considering polynomials of degree n or less, denoted by Pr.

Lagrange polynomials are a type of polynomial that form a basis for Pr. This means that any polynomial in Pr can be expressed as a linear combination of the Lagrange polynomials. The Lagrange polynomial basis is formed from a set of n + 1 distinct points in R, denoted {to, t1, ..., tn}.

Each Lagrange polynomial, denoted li(t), has the following properties:
- li(ti) = 1 for all i = 0, 1,..., n
- li(tj) = 0 for all i, j = 0, 1,..., n, i + j.

In other words, each Lagrange polynomial is equal to 1 at its corresponding point ti, and is equal to 0 at all other points. These properties ensure that the Lagrange polynomials are linearly independent and form a basis for Pr.

Hope this helps! Let me know if you have any further questions.
Hi! I'd be happy to help you with your question. Polynomials are mathematical expressions involving a sum of powers in one or more variables multiplied by coefficients. The Lagrange polynomial is a specific type of polynomial that provides a way to interpolate a polynomial function using a set of n + 1 distinct points in R, {t0, t1, ..., tn}.

The Lagrange polynomial basis L = {l0(t), l1(t),..., ln(t)} is a set of polynomials with specific properties: li(t_i) = 1 for all i = 0, 1,..., n, and li(t_j) = 0 for all i, j = 0, 1,..., n, where i ≠ j. This basis allows you to represent any polynomial p(t) in Pr by a linear combination of the Lagrange polynomials in the basis L.

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1) Let's make use of Trigonometry to find out the sine of the sum of the angles:

So plugging into that the given values for x and y we have:

So now we can calculate the sin of 229.5º and multiply by the cosine of 117.6 and the cosine of 117.6º times the sine of 229.5º

In a one-sample t-test to determine if the mean level, the null distribution of the test statistic is t(20).  The p-value for this hypothesis test falls in the interval (0.01, 0.025).

Explanation: In a one-sample t-test, the null hypothesis assumes that the mean level of Selenium in the blood for elderly people remains at the historical value of 19.6 mg/dL. The alternative hypothesis states that the mean level has increased. The null distribution of the test statistic is t(20) since the sample size is 21, resulting in 20 degrees of freedom (n-1).

To compute the observed value of the test statistic, we use the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / √n)

Given the sample mean of 22.1889, the hypothesized mean of 19.6, and the sample standard deviation of 4.225254, we can plug in these values to calculate the observed value of the test statistic. The calculation gives t ≈ 2.267.

The p-value is the probability of observing a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the p-value is less than 0.025 (but greater than 0.01), we can conclude that there is significant evidence to reject the null hypothesis in favor of the alternative hypothesis. This indicates that the mean level of Selenium in the blood for elderly people has increased from the historical value.

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(2x + 3) (x^2 - 6x + 9)

Answer:

6 feet

Step-by-step explanation:

1 feet x 6= 6 feet

Therefore, the MGF of the sum of X and Y is e^(5t). Remember, function the MGF provides a way to uniquely characterize the probability distribution of a random variable.

In this case, we have two random variables X and Y, representing the number of withdrawals and deposits in a day, respectively. Let's denote their moment generating functions as MX(t) and MY(t). Since X and Y are independent, the moment generating function of their sum

, Z = X + Y,

is equal to the product of their individual moment generating functions. Therefore,

MZ(t) = MX(t) * MY(t).

To find the moment generating function of the number of withdrawals and deposits, we need to know their respective moment generating functions, which are not provided in your question.

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Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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Answer: 10

Step-by-step explanation:

100/10=10

4030/10=403

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

Answer:

She would save £5

Step-by-step explanation:

→ First work out the cost of items for one student. Work out cost of the photocopying

40 × £0.02 = £0.80

→ Add the cost of the one folder

£0.80 + £0.70 = £1.50

⇒ Now we know £1.50 is the amount of money it costs for one student, we multiply that by 120 because there are 120 pupils

£1.50 × 120 = £180

→ £180 is the total cost and now we minus that from the online price of £175

£180 - £175 = £5

The mathematical expression for the function that gives the center of mass is m=\(\(\int\limits \int\limits\)\(D_{p}\)(x, y)dA\)

The center of mass is a point specified relative to an object or set of things. It is the weighted average position of all the system's pieces. For simple stiff objects with homogenous density, the centroid is the location of the center of mass.

A lamina that occupies the region inside the circle x²+y²=14y

Outside the circle is x²+y²=49.m

x²+y²=\(\(\int\limits\)P(x, y)dA\)

Where

r²=14rsinθ

x²+y²=49r=7

Therefore, the center of mass is-x=\((i/m) \(\int\limits\)xp(x, y)dA\)

-x=\((1/m)\(\int\limits \int\limits\)(r cosθ)p(r, θ)r drdθ\)

-y=\((1/m)\(\int\limits \int\limits\)Dyp(x, y)dA\)

-y= \((1/m)\(\int\limits \int\limits\)D(rsinθ)p(r, θ)r drdθ\)

Therefore, the center of mass is

m=\(\(\int\limits \int\limits\)\(D_{p}\)(x, y)dA\)

The mathematical expression for the function that gives the center of mass is

m=\(\(\int\limits \int\limits\)\(D_{p}\)(x, y)dA\)

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Answer:

23.27

Step-by-step explanation:

27.87 - 4.6 = 23.27

Answer:

total plane weight with 82gallons fuel is 2424.80 lbs.

Answer:

V = 113 degrees

Step-by-step explanation:

a triangle is 180 degrees so subtract the two numbers from 180

Answer:

y = 4

Step-by-step explanation:

Answer:

The equation of the line is 4

But it is also undefined

Step-by-step explanation:

answer is  y ≤ \(\frac{1}{3}x (-4)\)

Given that,

Area of shaded inequality below solid line is positive

and  y-intercept of the solid line is equal to  - 4

therefore,

The inequality must be

y ≤ \(\frac{1}{3}x (-4)\)

In Mathematics, inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

A system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system. Let us see an example to understand it.

the Linear inequality: 2x – y >1, x – 2y < – 1

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

here is given step to easily find the value of inequality:

Step 1: The inequality is already in the form that we want. That is, the variable y y is isolated on the left side of the inequality.

Step 2: Change inequality to equality. Therefore, y > x + 1y>x+1 becomes y = x + 1y=x+1.

Step 3: Now graph the y = x + 1y=x+1. Use the method that you prefer when graphing a line. In addition, since the original inequality is strictly greater than symbol, \Large{>}>, we will graph the boundary line as a dotted line.

Step 4: The original inequality is y > x + 1y>x+1. The greater than symbol implies that we are going to shade the top area or region.

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Answer:

4x + (13x–7) = 112°

=> 4x + 13x = 112+7

=> 17x = 119

=> x = 119/17

=> x = 7

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Answer:

d

Step-by-step explanation:

Answer: 5

Explanation: This type of algebraic expression is called a power.

Here, 2 represents the base and the  represents the exponent.

since we have found an element (48) in S that is not in T, we can conclude that S is not equal to T.

To prove that S is not equal to T, we need to show that there I an element in either S or T that is not in the other set.

Let's first look at the elements in S. We know that S is the set of all integers that can be expressed as 24 times some other integer. So, for example, 24, 48, 72, -24, -48, -72, etc. are all in S.

Now, let's look at the elements in T. We know that T is the set of all integers that can be expressed as 4 times some integer and 6 times some integer. We can find some examples of numbers in T by finding the multiples of the LCM of 4 and 6, which is 12. So, for example, 12, 24, 36, -12, -24, -36, etc. are all in T.

Now, let's consider the number 48. We know that 48 is in S, since it can be expressed as 24 times 2. However, 48 is not in T, since it cannot be expressed as 4 times some integer and 6 times some integer. This is because the only common multiple of 4 and 6 is 12, and 48 is not a multiple of 12.

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Answer:

\(V = \frac{1}{3} (\pi \cdot 10^2 \cdot 16) \\\\V = \frac{1}{3} (1600 \pi ) \\\\V = 1675.52 \: m^3\)

The maximum amount of sand that can be stored in this structure is 1675.52 m³.

Step-by-step explanation:

The volume of a conical-shaped structure is given by

\(V = \frac{1}{3} (\pi \cdot r^2 \cdot h)\)

Where r is the radius and h is the height of the structure.

We are given that

radius = 10m

height = 16m

Substituting the above values into the formula, we get

\(V = \frac{1}{3} (\pi \cdot 10^2 \cdot 16) \\\\V = \frac{1}{3} (1600 \pi ) \\\\V = 1675.52 \: m^3\)

Therefore, the maximum amount of sand th can be stored in this structure is 1675.52 m³.

A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.

For the given question,

The confidence bound's upper limit (UCB) is determined as follows:

UCB =  μ + z(α/2)×σ/√n

Now, α/2 = (1 - 0.95)/2

α/2 = 0.025

z(α/2) = 1.96  (obtain from t-distribution table for degree of freedom)

Put the values in the formula,

UCB =  μ + z(α/2)×σ/√n

UCB = 36.96 + 1.96×41.8/√15

UCB = 58.11

As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.

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