The mean wait time for a drive-through chain is 193.2 seconds with a standard deviation of 29.5 seconds. What is the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds?

Answer:

see below

Step-by-step explanation:

based on Triangle proportionality theorem:

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

so 7. x= 6

8. x = 26/2 = 13

Checking the calculations. 5.63 in a fraction is written as 563/100. Therefore the person above is correct.

The ratio of the number of tulips to the number of roses in Julia's garden is 5:4.Let's represent the number of roses as 'r' and the number of tulips as 't'.

According to the given information, one half of the number of roses is equal to two fifths of the number of tulips. Mathematically, this can be expressed as:

(1/2) * r = (2/5) * t

To find the ratio of the number of tulips to the number of roses, we divide both sides of the equation by 'r':

(1/2) = (2/5) * t / r

Now, we can simplify the equation:

(1/2) = (2/5) * (t/r)

To eliminate the fraction, we can multiply both sides of the equation by 2:

2 * (1/2) = 2 * (2/5) * (t/r)

1 = (4/5) * (t/r)

Finally, to isolate the ratio of tulips to roses, we divide both sides of the equation by (4/5):

1 / (4/5) = (4/5) * (t/r) / (4/5)

5/4 = (t/r)

Therefore, the ratio of the number of tulips to the number of roses in Julia's garden is 5:4.

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(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

The variable is up against an upper limit. in a maximization problem, a binding less than or equal to (≤)

constraint indicates that the variable associated with the constraint has reached or is at its upper limit. It implies that the variable cannot increase further without violating the constraint.

This constraint acts as a restriction that limits the potential values the variable can take in the optimization problem.

When a constraint is binding, it means that the optimal solution to the problem is achieved when the constraint is satisfied with equality. In the context of a maximization problem,

if a variable is up against an upper limit and the constraint is binding, it suggests that the variable is already maximizing its value within the given constraint.

In contrast, if the constraint is not binding, it means that the variable has not reached its upper limit and has the potential to increase further while still satisfying the constraint. In such cases, the variable can be increased to improve the objective function value and optimize the problem further.

It's important to note that the shadow price, also known as the dual value or marginal value, represents the rate of change of the objective function with respect to a constraint. It indicates the sensitivity of the objective function to changes in the constraint.

The sign of the shadow price is not determined by the direction of the constraint (≤ or ≥), but rather by the problem formulation and the specific constraints and variables involved.

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\(\huge{\mathbb{\tt{QUESTION↓}}}\)

1. in how many ways can you arrange five mathematics books,four science books,and three english books, on a shelf such as that books of the same subject are kept together.

\(\huge{\mathbb{\tt{SOLUTION↓}}}\)

\(\textsf{ Given that: M=5 , S=4 , E=3}\)

\(\begin{gathered}\\\end{gathered} \)

\(\textsf{ Using the Linear Permutation:} \)

\(\sf{P=n!}P=n!\)

\(\sf{P=5!}P=5!\)

\(\sf{P=5×4×3×2×1}\)

\(\sf{P=120}\)

\(\begin{gathered}\\\end{gathered}\)

P=n!}

P=4!

P=4×3×2×1

P=24

P=n!

P=3!

P=3×2×1

P=6

Multiply all the permutations:

P=120×24×6

P=17,280

\(\huge{\mathbb{\tt{ANSWER↓}}}\)

There are 17,280 ways we can arrange in a shelf.

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The surface area of balloon is growing at a pace of 160 square centimetres per minute is when radius is 10 centimetres.

We are aware that the formula

\(A=4r ^{2} \)

gives the area of a sphere, where A is the amount and r the radius of a circle.

We must take the gradient of the surface site in relation to time to determine how quickly the total area is changing.

\(dA/dt = d/dt(4r ^{2} ).\)

The following can be written using the chain rule:

\(dA/dt = 8r(dr/dt)\)

As we are aware that the radius changes at a rate of 2 centimetres per minute, dr/dt=2. This number can be used as a substitute in the equation above:

\(dA/dt = 8πr (2)\)

The balloon's surface area when the radius equals 10 centimetres equals:

\(A = 4π(10)^2 = 400π\)

The equation we calculated above can now be changed by substituting the radius as well as the changes in the rate of radius:

\(dA/dt = 8π(10)(2) = 160π\)

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A.  The simplified sum is 241x^2.

B. The sum simplifies to:

∑N=−∞^∞ X(M)⋅Y(N) = X(M)⋅Y(0)

The simplified sum is X(M)⋅Y(0).

(A) ∑N=0^241 x^2:

To simplify this sum, we need to evaluate the expression x^2 for each value of N from 0 to 241 and sum up the results.

∑N=0^241 x^2 = x^2 + x^2 + x^2 + ... + x^2 (241 terms)

Since x^2 is constant for each term, we can simply multiply x^2 by the number of terms, which in this case is 241:

∑N=0^241 x^2 = 241 * x^2

Therefore, the simplified sum is 241x^2.

(B) ∑N=−∞^∞ X(M)⋅Y(N):

This sum represents an infinite series where X(M) and Y(N) are the terms being multiplied.

Since the range of N is from negative infinity to positive infinity, we can observe that for every term X(M)⋅Y(N) with a positive N, there will be a corresponding term with a negative N that cancels it out due to the multiplication.

Therefore, the sum simplifies to:

∑N=−∞^∞ X(M)⋅Y(N) = X(M)⋅Y(0)

The simplified sum is X(M)⋅Y(0).

Note that this simplification assumes that X(M) and Y(N) are well-defined functions that do not depend on the specific value of N.

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Answer:

Step-by-step explanation:

19 hours

Answer:

25.6 hours

Explanation:

Answer:

graph ??? have u even tried to read the problem

Step-by-step explanation:

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

50$ Ana was left with because 3 x50 is 150 150-200 is50.

Step-by-step explanation:

Sure, here's a step-by-step response you can use:

"Hey, that's a good question! Let me explain why (2x + 1)^2 is not equal to 4x^2 + 1.

When we see an expression like (2x + 1)^2, we know that it means we need to multiply (2x + 1) by itself. So let's do that first:

(2x + 1)^2 = (2x + 1) x (2x + 1)

Now we can use the FOIL method to multiply these two expressions together:

(2x + 1) x (2x + 1) = 4x^2 + 2x + 2x + 1

If we simplify the middle terms by adding them together, we get:

(2x + 1) x (2x + 1) = 4x^2 + 4x + 1

So the expression (2x + 1)^2 simplifies to 4x^2 + 4x + 1, not 4x^2 + 1.

I can see why you might have thought the answer was 4x^2 + 1, since that's the first term in the expression we got. But we can't forget about the two middle terms that come from multiplying 2x and 1 together twice.

I hope that helps clear things up! Let me know if you have any more questions."

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find a linear equation that best fits the observed data points, allowing for the prediction of the dependent variable based on the independent variables.

In more detail, linear regression assumes a linear relationship between the dependent variable and the independent variables. The method estimates the parameters of the linear equation by minimizing the sum of the squared differences between the observed data points and the predicted values. This is typically done using a technique called ordinary least squares (OLS) regression. The resulting linear equation can be used to make predictions or infer the impact of the independent variables on the dependent variable.

Linear regression is widely used in various fields, including economics, finance, social sciences, and machine learning. It provides a simple and interpretable way to analyze and understand the relationship between variables. However, it is important to note that linear regression assumes certain assumptions about the data, such as linearity, independence of errors, and homoscedasticity. Violations of these assumptions can affect the accuracy and reliability of the regression model.

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Answer:30

Step-by-step explanation: 20+10

Answer:

30

Step-by-step explanation:

n-10 = 20 add 10 to both sides

+10   +10

n=30

Hope this helps :)

The probability of cycle time exceeding 70 minutes is 0.25. In the event that a time exceeding 55 minutes is known.

here,

We need to use to the concept of conditional probability to solve the given question. Let us consider that x is the cycle time for trucks carying concrete to a particular concrete site.

As x is uniformly distributed from 45 to 75 minutes.

Therefore,

the probability density function of x is f(x) = \(\frac{1}{(75-40)}\) => \(\frac{1}{35}\)

x ranging from 40 \(\leq\) x \(\leq\) 75.

now, the probability of cycle time exceeding 70 minutes given that it exceeds 55 minutes is calculated using conditional probability

\(P(X > 70 ; X > 55)\)

\(P( X > 70 ; X > 55) / P (X > 55)\)

 \(P(X > 70 )/ P(X > 55)\)

X is uniformly distributed,

\(P(X > 70) = \frac{( 75 -70)}{(75 - 40)} = \frac{5}{35}\)

\(P ( X > 55) = \frac{( 75 - 55)}{(75 - 40)} = \frac{20}{35}\)

Hence,

\(P ( X > 70; X > 55)\)

\(=\frac{(5/35)}{(20/35)}\)

\(= 0.25\)

The probability of cycle time exceeding 70 minutes is 0.25. In the event that a time exceeding 55 minutes is known.

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There are 2640 feet in half a mile.

If there are 5280 feet in a mile, then you must divide 5280 by 2 to find out how many feet are in half a mile.

5280 ÷ 2 = 2640 feet

Answer:

2,640

Step-by-step explanation:

1 mile is 5,280 feet. Knowing this information you should divide by 2 and get 2640. Making 2,640 the answer.

The value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is attached in the picture please refer to the picture.

We have a function:

\(\rm F(t) = 4\dfrac{1}{2^{3t}}\)

Plug t = 1

\(\rm F(1) = 4\dfrac{1}{2^{3\times1}}\)

After solving:

F(1) = 1/2

Thus, the value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.

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The first and second derivative of the function are g'(x) = -24x² + 56x + 6 and g''(x) = -48x + 56

The first derivative of a function g(x) is denoted as g'(x) or dy/dx. To find the first derivative of the function g(x) = -8x³ + 28x² + 6x - 59, we need to apply the power rule of differentiation, which states that the derivative of xⁿ is nxⁿ⁻¹. Applying this rule, we get:

g'(x) = -24x² + 56x + 6

g''(x) = -48x + 56

This is the first derivative of the function g(x). It tells us the rate at which the function is changing at any given point x.

The second derivative of a function is denoted as g''(x) or d²y/dx². To find the second derivative of the function g(x) = -8x³ + 28x² + 6x - 59, we need to take the derivative of the first derivative. Applying the power rule of differentiation again, we get:

g''(x) = -48x + 56

This is the second derivative of the function g(x). It tells us the rate at which the rate of change of the function is changing at any given point x.

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We can find the zeros of the given polynomial by setting it equal to zero and solving for x.

\({\texttt{{x}^{2} - \frac{3x}{2} - 7 = 0}}\)

To solve for x, we can use the quadratic formula:

\({\texttt{x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}}}\)

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 1, b = -3/2, and c = -7. Substituting these values in the quadratic formula, we get:

\({\texttt{x = \frac{-(-3/2) \pm \sqrt{(-3/2)^2-4(1)(-7)}}{2(1)}}}\)

Simplifying the expression inside the square root, we get:

\({\texttt{x = \frac{3/2 \pm \sqrt{9/4+28}}{2}}}\)

\({\texttt{x = \frac{3}{4} \pm \sqrt{\frac{121}{16}}}}\)

\({\texttt{x = \frac{3}{4} \pm \frac{11}{4}}}\)

\(\huge{\colorbox{black}{\textcolor{lime}{\textsf{\textbf{I\:hope\:this\:helps\:!}}}}}\)

\(\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)

\(\textcolor{blue}{\small\texttt{If you have any further questions,}}\) \(\textcolor{blue}{\small{\texttt{feel free to ask!}}}\)

♥️ \({\underline{\underline{\texttt{\large{\color{hotpink}{Sumit\:\:Roy\:\:(:\:\:}}}}}}\\\)

Therefore, the zeros of the polynomial are:

\({\texttt{x_1 = \frac{3}{4} + \frac{11}{4} = 3}}\)

\({\texttt{x_2 = \frac{3}{4} - \frac{11}{4} = -\frac{8}{4} = -2}}\)

Hence, the zeros of the polynomial are 3 and -2.

In accordance with the above assertion, the offered differential equation by variable separation is P = 1/ (k*e^t +1).

A differential equation in mathematics is one that has one or more negatively influencing variables. Dy/dx provides the function's derivative. The phrase describes an equation with several ways to connect the dependent variable to one or more regressors.

dP/dt = P - P^2

1/(P - P^2)dP = dt

∫1/(P - P^2)dP = ∫dt

t + c = 1/(P - P2)dP, where c would be a constant

Use the partial fractions method to calculate the integrated on the left. We wish to rewrite 1/(P-P2) in the pattern A/P+B/(1-P) for those constants A and B since P-P2 factors to P(1-P). We therefore have:

1/[P(1-P)] = A/P + B/(1-P)

A(1-P) + BP = 1

When P is 1, we have A(1-1)+B(1)=1, or B=1.

When P is 0, we have A(1-0)+B(0)=1, or A=1.

So, we can rewrite 1/(P-P^2) as 1/P+1/(1-P).

Whilst doing the entire on the ODE's left side, we have:

∫1/(P - P^2)dP

∫[1/P + 1/(1-P)]dP

∫(1/P)dP + ∫1/(1-P)dP

ln(P) + ∫1/(1-P)dP

Make a u-substitution to perform the second integral:

u = 1-P, du = -dP

ln(P) - ∫(1/u)du

ln(P) - ln(u)

ln(P) - ln(1-P)

ln[P/(1-P)]

Reconnecting that to the ODE yields the following:

ln[P/(1-P)] = t + c

e^ln[P/(1-P)] = e^(t + c)

P/(1-P) = e^t * e^c

P/(1-P) = ke^t, where k is a constant equal to e^c

P = (1-P)ke^t

P = ke^t - Pke^t

P + Pke^t = ke^t

P(1 + ke^t) = ke^t

P = ke^t / (1 + ke^t)

P = e^t / (1/k + e^t)

P = e^t / (d + e^t), where d is a constant equal to 1/k

So, the general solution to the ODE is P = e^t / (d + e^t), where d is a constant.

p*(1-p) = k*e^t ( we say that e^k is a constant)

1-p/p = k*e^t

P = 1/ (k*e^t +1)

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The complete question is-

Solve the given differential equation by separation of variables.

dP/dt = P - P²

Answer:

5.8 h po salamat

salamat po

Answer:

1. standard form

2. vertex form

The total distance that Mishka covers on the trip is 265 miles.

Speed measures how fast an object is moving with respect to time. Speed is the ratio of total distance to total time.

Speed = distance / time

Distance = speed x time

Distance covered while driving on the highway = 75 x 3 = 225 miles

Distance covered while driving on the side road = 40 x 1 = 40 miles

Total distance covered = 225 miles + 40 miles = 265 miles

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Answer:

$ 4,425.69

Step-by-step explanation:

A = $ 4,425.69

A = P + I where

P (principal) = $ 4,253.00

I (interest) = $ 172.69

Answer:

64 cans

Step-by-step explanation:

If two puppies eat 2 cans in two days then you can imagine one puppy eats one and the other puppy eats the other. so if 8 puppies eat in 8 days you would want to do 8 * 8 = 64 cans

By using a sampling technique  we ensure that we choose a sample of students that is representative of all 8:00 am classes.

There are  varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.

Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.

explanation;

we conclude the

Since the students' lecture hallsare on different building the samples are

Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.

The number of students in each building is:

There are 100 students in each building

Then select at random an equal proportion of student from each building let 20 students in each building.

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