Sara says "If you subtract 11 from my number and multiply the difference by -3 ​, the result is -54 ​." What is Sara​'s ​number?

Answer:

20×2=40bnmcsshjvghjpiutewqadgjlmbcz

Answer: all real numbers

Step-by-step explanation:

A)The Fast Shop Drive-In Market has a probability of 0.118, b.an average of 5 customers in the system, c)an average of 4 customers in the waiting line,

d)an average time is 0.208 hours

e)an average time is 0.133 hours

f) probability is 0.8

g) probability is 0.2

a) The arrival rate, λ, is given as 24 customers per hour, and the service rate, μ, is given as 30 customers per hour. To calculate the probability of no customers in the system, we can use the M/M/1 queuing model. In this model, the probability of no customers in the system, P₀, is given by P₀ = 1 - (λ/μ). Plugging in the values, we have P₀ = 1 - (24/30) = 1 - 0.8 = 0.2. Therefore, the probability of no customers in the system is 0.2.

b) The average number of customers in the system, L, can be calculated using the formula L = λ/(μ - λ). Plugging in the values, we have L = 24/(30 - 24) = 24/6 = 4. Therefore, the average number of customers in the system is 4 customers.

c) The average number of customers in the waiting line, Lq, can be calculated using the formula Lq = λ²/(μ(μ - λ)). Plugging in the values, we have Lq = (24)²/(30(30 - 24)) = 576/(30(6)) = 576/180 = 3.2. Therefore, the average number of customers in the waiting line is 3.2 customers.

d) The average time in the system per customer, W, can be calculated using the formula W = 1/(μ - λ). Plugging in the values, we have W = 1/(30 - 24) = 1/6 = 0.167 hours. Therefore, the average time in the system per customer is 0.167 hours (or 10 minutes).

e) The average time in the waiting line per customer, Wq, can be calculated using the formula Wq = λ/(μ(μ - λ)). Plugging in the values, we have Wq = 24/(30(30 - 24)) = 24/180 = 0.133 hours. Therefore, the average time in the waiting line per customer is 0.133 hours (or 8 minutes).

f) The probability that the server will be busy and the customer must wait, Pw, is given by Pw = λ/μ. Plugging in the values, we have Pw = 24/30 = 0.8. Therefore, the probability that the server will be busy and the customer must wait is 0.8.

g) The probability that the server will be idle, Pidle, is given by Pidle = 1 - (λ/μ). Plugging in the values, we have Pidle = 1 - (24/30) = 1 - 0.8 = 0.2. Therefore, the probability that the server will be idle is 0.2.

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Answer:

90

Step-by-step explanation:

n=10

n(n-1)=10(10-1) = 10(9)=90

Answer:

5x² + 2x - 3 - px - p

= 5x² + 5x - 3x - 3 - p(x + 1)

= 5x(x + 1) - 3(x + 1) - p(x + 1)

= (x + 1)(5x - 3 - p)

Answer:

7 and 23 or 11 and 19

Step-by-step explanation:

First, let's determine the prime numbers between 1 and 30.

2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are all the prime numbers between 1 and 30.

We can now see that 7 and 23 add up to 30.

But 11 and 19 also works.

Hope this helped!!

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Answer:

D

Step-by-step explanation:

Answer:

quadratic

Step-by-step explanation:

The value of the standard deviation depends on the value of the mean.

As per the given data, we have to determine that the value of the standard deviation depends on the value of the mean

Yes, the value of the standard deviation depends on the value of the mean.

Because you have to know the mean to calculate the standard deviation.

The size of the standard deviation of a data set depends on what the mean is because the calculation of the mean is essential for calculating Standard Deviation.

The standard deviation determines how much the values deviate from the mean.

Besides, Standard deviation in simple terms means the deviation of data from the Mean.

The most popular way to assess dispersion is standard deviation, which is based on all values. As a result, even a small change in one value can modify the standard deviation's value.

Hence, Standard Deviation depends on the Mean.

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Answer:

1,155 elk are infected.

Step-by-step explanation:

Let's use a ratio:

infected : fine

    11       :   50

  1155     : 5250

Answer:

∠

A

=

x

=

32

∘

∠

B

=

3

x

=

3

⋅

32

=

96

∘

∠

C

=

x

+

20

=

32

+

20

=

52

∘

Step-by-step explanation: Every triangle adds up to 180.

Using it's concept, the range of the function is given as follows:

b [0, 10]

The range of a function is the set containing all the output values of the function.

In the graph, the common notation is that:

Hence, from the graph of a function, the range is composed by the values assumed by the vertical axis.

The minimum and maximum values assumed by the function are given as follows:

Hence the range is given as follows:

[0, 10]

Closed interval because the function assumes the values of 0 and of 10, hence option b is correct.

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The simplified expression, after removing parentheses and combining like terms, is 4y+12 - 2ys. Therefore, the simplified expression is `4y + 12 -2ys .

Let's simplify the expression step by step:

First, we distribute the 3 to the terms inside the parentheses: 3(2y+4) becomes 6y+12.

Next, we can remove the parentheses by applying the distributive property to the entire expression: -(2y+5)+6y+12 - 2ys.

Now, we can combine like terms. We have -2y from -(2y+5) and 6y from 6y+12. Combining these terms, we get 4y+12.

Finally, the expression becomes 4y+12 - 2ys.

In summary, the simplified expression, after removing parentheses and combining like terms, is 4y+12 - 2ys.

Therefore, the simplified expression is `4y + 12 -2ys

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Answer:

Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Step-by-step explanation:

Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:

80,000 / 4 = 20,000

20,000 x 0.06 = 1,200

4,700 - 1,200 = 3,500

60,000 x 0.07 + 0 x 0.05 = 4,200

50,000 x 0.07 + 10,000 x 0.05 = 4,000

40,000 x 0.07 + 20,000 x 0.05 = 3,800

30,000 x 0.07 + 20,000 x 0.05 = 3,600

25,000 x 0.07 + 35,000 x 0.05 = 3,500

Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Hello!

Let's first solve the inequality for \(\sf{x}\).

\(\begin{aligned} \sf{9(2x+1) < 9x-18} \\\sf{18x+9 < 9x-18}\\\sf{18x-9x < -18-9}\\\sf{9x < -27}\\\sf{x < -3} \end{aligned}\)

Hope that helps! :)

-art lover

The system of inequalities that describes this situation is;

x + y ≥ 8

x*15 + y*30 ≤ 300

Let's define the variables that we need to use.

He wants at least 8 tickets, then the first inequality is:

x + y ≥ 8

And he wants to spend no more than $300, then:

x*15 + y*30 ≤ 300

Then that is the system of inequalities.

x + y ≥ 8

x*15 + y*30 ≤ 300

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Answer:

23

Step-by-step explanation:

8 kg * 28 per kg = Rs. 224

Profit = Rs. 40

CP = SP - Profit

224 - 40

184

184 / 8

23

Answer:

Third side = 7

Step-by-step explanation:

x = third side:

\(x=\sqrt{(6)^{2}+(\sqrt{13})^{2} } =\sqrt{36+13} =\sqrt{49} =7\)

Hope this helps

Answer:

its ln 4, A as seen in the image.  

I might be wrong sry?

Answer:

volume of the cylinder = 18,480

Step-by-step explanation:

volume of a cylinder =

\(v = \pi {r}^{2} h\)

where radius = 14cm

height = 30cm

therefore the volume

\(v = \frac{22}{7} \times {14}^{2} \times 30 \\ v = 22 \times 14 \times 2 \times 30 \\ v = 18480\)

Answer:

Step-by-step explanation:

The magnitude of earthquake on seismograph will be 3 .

What is seismograph?

A seismograph is a device that measures and records crucial data concerning earthquakes. Electromagnetic sensors in seismographs convert ground vibrations into electrical voltages. Seismograms are records that a seismograph generates and displays .

Main Body:

formula given : M = ㏒₁₀T           where T =1000

substituting the value of T in the formula

M = ㏒₁₀ 1000

M = ㏒₁₀10³

M = 3㏒₁₀           (㏒₁₀Xᵃ = a㏒₁₀)

M = 3                  (㏒₁₀10 =1)

Therefore the magnitude of the earthquake is 3.

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The volume of prism L is 750 cm³

A prism is a three-dimensional solid, that has two identical bases, rectangular or parallelogram-shaped faces, and the same cross-section.

The formula for the volume of a prism is V=Bh,

where B = base area and h = height.

We have,

Two similar prism

Prism L:

Length = 8 cm

Prism M:

Length = 20 cm

Volume = 1875 cm³

Applying the volume formula:

V = Bh

Base area = Length x width

1875 = Length x width x height

1875 = 20 x width x height

Width x height = 1875 / 20 = 93.75 _______(1)

Since prisms are similar we can use (1) in finding the Volume of prism L.

The volume of prism L:

= Length x width x height

= 8 x 93.75

= 750

Thus the volume of prism L is 750 cm³

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The complete question is:

L and M are two mathematically similar prisms.

Prism L has a length 8 cm.

Prism M has a length 20 cm.

Prism M has a volume of 1875 cm3

Work out the volume of prism L.

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

it's a

Step-by-step explanation:

use desmos, if you can :)

Answer:

it is A) (-6, -36)

Step-by-step explanation:

Answer

15x=11+8

15x =19

x=19/15

_________________________________________________________

The value of x is 7.

Step-by-step explanation:

Given that:-

x + 8 = 15

To find:- The value of the expression:

Here we will use the transposition method.

We have to follow these steps:-

( i ) First of all, we have to identify the variables and the constants.

( ii ) Get the variable to one side of the equation. Maintain equation balance while calculating.

( iii ) Then solve the expression of both sides by using various mathematical operations. Simplify both sides.

As we have,

=> x + 8 = 15

 Now subtract both sides by , we get 

=> x + 8 - 8 = 15 - 8

 Simplifying it further, we get

 => x = 7

 Hence, the required solution is 7.

Answer:

Step-by-step explanation:

hello : y=5x-13

x-intercept : when y=0  means : 5x-13=0     5x=13 so: x=13/5

y-intercept : when x=0  means : 5(0)-13=y     y= - 13  

Answer:

Y = (0, -13)

X = (2.6,0)

Step-by-step explanation: