thirty-two people are going to lunch. each lunch table seats 4 people.how many tables are needed for 32 people?

Philip should receive $68.50 in quarterly dividends and the annual yield on this stock is about 2.81%.

To calculate the quarterly dividend that Philip need to acquire, we need to first calculate the quarterly dividend per share:

Quarterly dividend in step with share = Annual dividend per percentage / 4

In this situation, the once a year dividend in line with proportion is $2.74, so the quarterly dividend per proportion is:

Quarterly dividend per proportion = $2.74 / 4 = $0.685

For the reason that Philip owns 100 shares, his quarterly dividend should be:

Quarterly dividend = Quarterly dividend per share * number of stocks

Quarterly dividend = $0.685 * 100 = $68.50

Therefore, Philip should receive $68.50 in quarterly dividends.

To calculate the once a year yield on this inventory, we want to divide the yearly dividend in line with proportion by the present day stock price, after which multiply by way of 100 to specific the result as a percentage:

Annual yield = (Annual dividend per share / inventory price) * 100

In this case, the annual dividend per percentage is $2.74, and the inventory charge is $97.55. Plugging those values into the components, we get:

Annual yield = ($2.74 / $97.55) * 100

Annual yield ≈ 2.81%

Therefore, the annual yield on this stock is about 2.81%.

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Answer:

4.7

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok

The area of the rectangle is  calculated by L*B

The area of the rectangle is 10.875 yards^2.

l = 58/ 8 yd = 7.25yd

b = 1 1/2 yd = 1.5yd

Solution:

The area of the rectangle is  calculated by L*B

Therefore,

L*B =  7.25* 1.5

= 10.875 yards^2.

The area of the rectangle is 10.875 yards^2.

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The probability that exactly two of the students are juniors is given as follows:

0.270 = 27%.

The mass probability formula is presented as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of these parameters for this problem are given as follows:

\(N = 60, n = 4, k = 18\)

Hence the probability that exactly two of the students are juniors is calculated as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,60,4,18) = \frac{C_{18,2}C_{42,2}}{C_{60,4}} = 0.270\)

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38581194+2484103-12345779=28719518

28719518

Answer:

28719518

Step-by-step explanation:

Plz mark me the brainlist

To calculate the 95% confidence interval for the difference in mean weekly sales for the two movie theaters, follow these steps:

Step 1: Gather the data for the random sample of 25 weeks.

Step 2: Calculate the mean and standard deviation for each movie theater's weekly sales.

Step 3: Calculate the difference in mean weekly sales for the two movie theaters (subtract the mean of theater 2 from the mean of theater 1).

Step 4: Calculate the standard error of the difference by taking the square root of [(standard deviation of theater 1^2 / number of weeks) + (standard deviation of theater 2^2 / number of weeks)].

Step 5: Determine the critical value for a 95% confidence interval using a t-table or calculator (for a two-tailed test with 24 degrees of freedom, the critical value is approximately 2.064).

Step 6: Multiply the critical value by the standard error to get the margin of error.

Step 7: Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error from the difference in mean weekly sales.

The result will be the 95% confidence interval for the difference in mean weekly sales for the two movie theaters.

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Answer:

12.22

Step-by-step explanation:

There are 360° in a full circle

The circumference of a circle is c = 2πr

----------------------------------

The lenght of the arc will be the portion of the circumferece included in the angle

l = (∅/360) * 2πr

plug in the knowns

l = (70/360) * 2π(10)

l ≈ 12.22

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

14250  purchased by bots, 750 purchased by humans.

Step-by-step explanation:

Answer:14250 were purchased by bots and 750 were left

Step-by-step explanation:95% of 15000 is 14250 so that's how many bots had bought ps5 so to find out how many people bought the ps5 you minus 14250 from 15000

Answer:

what are you asking the total or what

Answer:

4 socks.

Step-by-step explanation:

There are three different colors of socks in the drawer: black, gray and orange.

The worst possible scenario for making a pair would be getting a different color of sock with the first three picks (1 black, 1 gray, 1 orange). Since we now have one of each, the next sock drawn from the drawer will form a pair with one of our three socks. Therefore, the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed is 4.

Answer:

One x = 11/48

Step-by-step explanation:

Solve for x:

-4 x - 11 = 2×13 (x - 3 x)

x - 3 x = -2 x:

-4 x - 11 = 2×13×-2 x

2 (-2) = -4:

-4 x - 11 = -4×13 x

-4×13 = -52:

-4 x - 11 = -52 x

Add 52 x to both sides:

52 x - 4 x - 11 = 52 x - 52 x

52 x - 52 x = 0:

52 x - 4 x - 11 = 0

Grouping like terms, 52 x - 4 x - 11 = (-4 x + 52 x) - 11:

((-4 x + 52 x) - 11) = 0

52 x - 4 x = 48 x:

48 x - 11 = 0

Add 11 to both sides:

48 x + (11 - 11) = 11

11 - 11 = 0:

48 x = 11

Divide both sides of 48 x = 11 by 48:

(48 x)/48 = 11/48

48/48 = 1:

Answer:  x = 11/48

Answer:

None.

Step-by-step explanation:

The lines do not intersect, so this equation has no solution.

Answer:

what type of work is this?

Answer:

Can you please show the questions? It's way more easier

Answer:

rate of change = 5

Step-by-step explanation:

the slope m gives the measure of the rate of change of the function

calculate the slope m using the slope formula

m = \(\frac{y_{2-y_{1} } }{x_{2-x_{1} } }\)

with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table

m = \(\frac{18-38}{1-3}\) = \(\frac{-20}{-2}\) = 5

then rate of change = 5

Based on the information provided, the estimated milk production rounded to the nearest whole number is 105,719 gallons of milk.

The estimated milk production value of 105,719 gallons is obtained from the regression analysis conducted in the Excel document. Regression analysis is a statistical technique used to model the relationship between a dependent variable (in this case, milk production) and one or more independent variables (such as time, weather conditions, or other relevant factors). The analysis likely involved fitting a regression model to the available data, which allows for estimating the milk production based on the variables considered in the analysis.

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Answer: y= x + 4

Step-by-step explanation:

Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).

Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.

Step-by-step explanation:

Answer:

Let "x" and y" be the two numbers.

We have

xy = 5/6, (1) and x/y = 15/8. (2)

Multiply (1) and (2) (both sdes). You will get

x^2 = (5*15)/(6*8) = 25/16.

Hence, x = +/- 5/4.

Next, divide (1) by (2) (both sides). You will get

y^2 = 5/6:15/8 =

(5*8)/(6*15) = 4/9.

Hence, y=+/-2\/3.

Answer. There are two solutions: (x, y)=(5\/4,2\/3) and (x,y) = (-5/4,-2/3).

// We should exclude the second solution, since the numbers are negative.

Answer:

I think (B) - Stem-and-Leaf Plot

Step-by-step explanation:

Answer:

Stem and leaf plot

Step-by-step explanation:

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf"  The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.

The sample space for rolling a fair eight-sided die is {1, 2, 3, 4, 5, 6, 7, 8}.

We have to find the sample space for rolling a fair eight-sided die.

The sample space for rolling a fair eight-sided die consists of all the possible outcomes of a single roll of the die.

As the die has eight sides numbered from 1 to 8, the sample space can be represented as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

Therefore, the sample space for rolling a fair eight-sided die is {1, 2, 3, 4, 5, 6, 7, 8}.

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To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03)

To determine the margin of error for the 95% confidence interval, we need to use the formula:

Margin of Error = Critical value * Standard error

The critical value for a 95% confidence level can be obtained from the standard normal distribution table, which corresponds to 1.96. The standard error can be calculated using the following formula:

Standard error = \(\sqrt{(p * (1 - p) / n)}\)

Given that the proportion of North Carolina residents planning to set off fireworks is estimated to be 51% (0.51) based on the survey, we can substitute the values into the formula. However, the sample size (n) is not provided in the question, so we need to determine it in the next part.

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03). Substituting these values into the formula, we can solve for the required sample size.

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Answer:

Step-by-step explanation:

Am equation with infinite number of solution means that the equation has uncountable solutions.

Let's analyse each options

For the expression 3x-1 = 3x+1

Collect like terms

3x-3x = 1+1

0x = 2

Divide both sides by 0

x = 2/0

x = infinity

This shows that the expression 3x-1 = 3x+1 has infinite number of solution

Also considering the third expression

3(x-1) = 3x+3

Open the parenthesis

3x-3 = 3x+3

Collect like terms

3x-3x = 3+3

0x = 6

x = 6/0.

x = infinity

Thus also shows that expression 3(x-1) = 3x+3 has infinite number of solution.

3x-1 = 3x+1

3(x-1) = 3x+3

Answer:

let x = the number of nickels

the number of pennies can be represented by (56 - x)

.05x + .01(56 - x) = 1.52

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

4x + 56 = 152

4x = 96

x = 24

There are 24 nickels and 56 - 24 = 32 pennies

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:

Answer:

x = \(\sqrt{30}\)

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of Δ ABC )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 3 × (3 + 7) = 3 × 10 = 30 ( take the square root of both sides )

x = \(\sqrt{30}\)

Answer: The Car is moving at a Constant positive speed

Step-by-step explanation:

the car is going in a positive direction at a time in which doesn't change so it is at a constant speed

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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