The amount of money collected by a snack bar at a large university has been recorded daily for the past five years. Records indicate that the mean daily amount collected is $4000 and the standard deviation is $450. The distribution is skewed to the right due to several high volume days (including football game days). Suppose that 100 days were randomly selected from the five years and the average amount collected from those days was recorded. Which of the following describes the sampling distribution of the sample mean? A) skewed to the right with a mean of $4000 and a standard deviation of $450 B) normally distributed with a mean of $4000 and a standard deviation of $450 C) normally distributed with a mean of $4000 and a standard deviation of $45 D) normally distributed with a mean of $400 and a standard deviation of $45

The solution for the linear system will be , x(t) = 4 c₁e^t +  4 c₂e^t and

y(t) = -c₂e^t + c₂(1 - t)e^t .

The solution is given by ,

matrix | x y | = c₁ .v . e^λt  + c₂( w + v.t ) e^λt

Given that the matrix has repeated eigenvalue with eigenvector  generalized  vectors ,

λ = 1 with eigenvector v = [ 4 , -1 ] and  generalized  vectors w =[ 0,1 ].

then the solution will be,

c₁ [ 4 , 1 ] e^t +  c₂[ 0 , 1] + [ 4 , -1 ] )e^t

therefore,

x(t) = 4 c₁e^t +  4 c₂e^t

y(t) = -c₂e^t + c₂(1 - t)e^t

Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.

Matrix multiplication, for example, depicts the combination of linear maps.

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Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:-5 F

Step-by-step explanation -6 + -5 = -11

Answer:

10

Step-by-step explanation:

the side is 13 and 3 so the difference is 10 on that side

on the bottom side it's 3 and if it's the same it's 10

Answer:

79/9  or 8 7/9

Step-by-step explanation:

1+9x=80

1 +9x = 90

Subtract 1 from each side

1+9x-1 = 80-1

9x = 79

divide by 9

9x/9 = 79/9

x = 8 7/9

Answer:

Step-by-step explanation:

1+9x = 80

9x = 80-1

9x = 79

x = 79/9

or

x = 8 7/9

or

x ≈ 8.78 (x = about 8.78) rounded

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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The depreciation for one month is approximately $205.03.

To calculate the depreciation for one month, we can use the straight-line depreciation method. The formula for straight-line depreciation is:

Depreciation per period = (Initial cost - Scrap value) / Expected life

Given that the cost of the building is $85,000, the scrap value is $7,500, and the expected life is 31.5 years, we can plug these values into the formula:

Depreciation per period = ($85,000 - $7,500) / 31.5

Simplifying the equation, we get:

Depreciation per period = $77,500 / 31.5

Dividing $77,500 by 31.5, the depreciation per period is approximately $2,460.32.

To find the depreciation for one month, we need to divide this amount by 12 (since there are 12 months in a year):

Depreciation per month = $2,460.32 / 12

Therefore, the formula for calculating the depreciation for one month using the straight-line method is: Depreciation per month = (Initial cost - Scrap value) / (Expected life in years * 12 months).

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Answer:

Step-by-step explanation:

45 / 12 = 3.75

12 inches in a foot.

The conversion of Carson's height from inches to feet is equal to 3.75 feet.

Relation between inches and feet is equal to,

1 foot is equal to 12 inches

To convert inches to feet, you need to divide the number of inches by 12, as there are 12 inches in a foot.

Carson's height in feet can be calculated as follows:

Height in feet = Height in inches / 12

Height in feet = 45 inches / 12

Height in feet = 3.75 feet

Therefore, Carson's height is 3.75 feet.

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Answer:

Step-by-step explanation:

Probability of a head is 1/2  of getting heads.

probability of a number greater than 1 is 7/8 on 8 sided die

Total probability = 1/2 * 7/8 = 7/16 = 0.4375

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

Answer:

The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.

In this case, the diameter of the circle is given as 24 inches.

Using the formula, we can substitute the values:

C = πd

C = 3.14 * 24

C ≈ 75.36 inches

Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.

Step-by-step explanation:

Answer:

x ≤ 1 or x ≥ 3

here's a graph to help visualize :)

hopes this helps! <3

Answer:

The answer is 16 because

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

        = 16

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer:

Step-by-step explanation:

the equation which are not linear is which it does not form a straight line but forms a curve.

Answer: A linear equation is when a line on a graph isn’t straight or does not meat the origin or forms a curved line.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because I did this test and got the answer right

Answer:

I would say A because 5000/70 is roughly like 80 something so it's less than 100 either way, so 100 is the best guess

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Earnings, e, will be divided by 4  friends to equal 12

e/4 = 12      multiply both sides of the equation by 4

4 * e/4 = 12 * 4

    e = 48

We have that the scores of students on the SAT college entrance examination had a normal distribution with the following parameters:

And we need to find the following information:

1. The probability that a student is randomly chosen from all those taking the test scores 559 or higher.

2. If we take a simple random sample of 30 students, we need to find:

• The mean of the sampling distribution

• The standard deviation of the sampling distribution

• The z-score that corresponds to the mean score x-hat = 559

• The probability that the mean score x-hat of these students is 559 or higher.

To find those answers, we can proceed as follows:

1. To find the probability that a student is randomly chosen from all those taking the test scores 559 or higher, we can find that probability by using the z-score associated with x = 559 as follows:

And now, we can use the cumulative standard normal distribution table to find the cumulative probability for z = 0.1339. Then we have:

Since we need test scores of 559 or higher, then we have:

Therefore, the probability for test scores of 559 or higher is about 0.4467.

Answer:

  Yes, 3 balls will fit; the ball radius is smaller than the container radius, and the height is more than 4 times the ball diameter.

Step-by-step explanation:

We can compare the radius of a tennis ball to the radius and height of the cylinder to see if the balls will fit.

The volume of a sphere is given by ...

  V = 4/3πr³

Solving for radius, we find ...

  r = ∛(3V/(4π))

For the given ball volume of 36 cm³, the ball radius is found to be ...

  r = ∛(3·36/(4π)) = ∛(27/π) ≈ 2.05 . . . cm

The radius of the container is 6 cm, almost 3 times the radius of a ball, so we know 3 tennis balls will fit in one layer in the container. Actually, the attached figure shows that 5 tennis balls will fit in one layer in the container.

The height of the container, 20 cm, is almost 10 times the radius of the tennis ball, 5 times the diameter, so we can get at least 5×5 = 25 balls in the container.

_____

Additional comment

The height of the container is 20/(2·2.05) ≈ 4.88 times the diameter of the tennis ball. When spheres are packed, each layer after the first takes additional height of at most √3/2 ≈ 0.87 times the diameter of the sphere. That means we can pack 5 layers of tennis balls in the container and have room left over.

Answer:

1000

Step-by-step explanation:

Well if there are 1000 ml in one L and we have 25 L of of milk and it requires 25 ml of milk per cup of tea we would first convert 25 L to ml to get 25000 ml of milk with that answer we then divide 25000 by 25 to get 1000.

The solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

Given equations ,

\(x^{2}\) + 81 = 0  ,\(x^{2}\)-22 = -26 , 3\(x^{2}\)-18=21 ,2\(x^{2}\) +15 = -13

What is Quadratic equation ?

quadratic equation can be defined as the equation which is in the form of a\(x^{2}\)+bx + c = 0 .

where a,b,c are constants .

By solving we get ,

\(x^{2}\) +81 = 0

\(x^{2}\) = -81

x = 9i , -9i

\(x^{2}\) - 22 = -26

\(x^{2}\) = -26 + 22

\(x^{2}\) = -4

x = 2i,-2i

3\(x^{2}\) - 18 = 21

3\(x^{2}\) = 18+21

3\(x^{2}\) = 39

\(x^{2}\) = 13

x = \(\sqrt{13}\) , -  \(\sqrt{13}\)

2\(x^{2}\) +15 = -13

2\(x^{2}\)  = -13-15

2\(x^{2}\)  = -28

\(x^{2}\)  = -14

x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i

Hence the solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

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Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

The tilt of the axis of Earth and orbit of Earth around the sun.

The orbit of the Earth around the sun and rotation of the Earth.

The orbit of the Earth around the sun and rotation of the sun.

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Answer:

maximum! hope this helps

Answer:

I'm sorry if i'm wrong but i think Its 6.

Step-by-step explanation:

Answer:

42 I believe

Step-by-step explanation:

They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42

But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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Answer:

y= -3x thts the answer I've had this question took me almost an hour to do it

numbers are 20 and 30 or 30 and 20.

A statement that represents the equality between two mathematical expressions. An equation can have one variable or two variables.

sum of two numbers = 50

sum of their reciprocal = 1/12

what is the 2 numbers.

let, one number is X and the other number is Y

as per the given condition, sum of X and Y is 50

X + Y =50 ...... equation 1

again, sum of the reciprocal of X and Y = 1/12

1/ X + 1/ Y = 1/12 ..... equation 2

 (X + Y)/ XY = 1 /12

(X + Y)12 = XY...  equation 3

from equation 1, we can write, Y = 50 - X

putting this value of Y in the equation 3

12X + 12(50 - X) = X(50 -X)

12X + 600 - 12X = 50X - X²

X² - 50X+600= 0

from the formula for quadratic equation, X = [50 ±√ (50² - 4×600)] / 2×1

                                                         X = (50±10) / 2

                                    X = 30, 20

          Y = 50 -30 = 20

      Y = 50- 20 = 30

hence, the 2 numbers are 20 and 30.

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