y=-6x+3 y=6x+3 solve with subsititution

a) The 95% confidence interval estimate for the mean ticket sales revenue per theater is $21613 to $24857.

b) The estimated of the mean number of customers per theater is 2536 customers.

c) The total number of customers who saw black panther are 10194720 and the total box office ticket sales for the weekend is 92862000.

A number derived from a random sample that provides an estimation of the probable magnitude of the sampling error in a population parameter estimate.

a) The goal of this section is to calculate and understand the 95% confidence interval estimate for the mean ticket sales revenue per theater.

The following is a definition of the confidence interval formula:

[tex]\bar{x}[/tex]±margin of error

The margin of error is the value obtained as a 95% confidence interval.

The sample mean is so calculated to be $23100.

Additionally, a margin of error of 1486.864 is determined.

When these values are used in the formula above, we get

[tex]\bar{x}[/tex]±margin of error

=23100±1486.864

=23100-1486.864 to 23100+1486.864

=21613.136 to 24586.864

=21613 to 24857

The 95% confidence interval estimate for the mean ticket sales revenue per theater is $21613 to $24857.

b) Mean number of customers per theater=23100/9.11

=2573.675

=2536 customers per theater.

The estimated of the mean number of customers per theater is 2536 customers.

c) Total number of customers=2536(4020)

=10194720

The total number of customers who saw black panther are 10194720

Total box office sales in weekend=4020(23100)

=92862000

The total box office ticket sales for the weekend is 92862000

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Answer:

10

Step-by-step explanation:

a1=2

a=2

an=-5an-1+3

plug in

(2)5=10

Answer: 7.33 is a terminating decimal. 7.333333... or 7 1/3 is a repeating decimal.

Step-by-step explanation:

The number 13 is 3 times the number 54 with the remainder of 15.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number 54 is divided by 13 with some remainder. The division will be done as below,

13 )   54   ( 3

      -39

___________

       15

Hence, the division with the remainder can be written in mixed form as 3¹⁵/₁₃.

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Answer:

Skate World is better because it is $1 less than Roller Central.

Step-by-step explanation:

f(4) = 5(4) + 10

f(4) = 20 + 10

f(4) = 30

f(4) = 6(4) + 5

f(4) = 24 + 5

f(4) = 29

Roller Central is $30 and Skate World is $29.

Using the concept of exponential function, the exponential decay after

2 months is 13000kwh

An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

In this problem, we can model an exponential function to represent the problem.

E = a(1 - r)⁻^d

a)

This function is an exponential decay function which when we substitute the values, we can easily express E in terms of d.

E = 17500(1 - 75)⁻^d

b) The excess energy left after 2 months ?

Using proportions;

75 kwh/ d = 1 day

x kw/h = 60 days

x = 60 * 75

x = 4500

The amount left will be 17500 - 4500 = 13000 kwh

We will have 13000kwh after 60 days

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The 16 feet distance from Chase to his older brother and the 20 feet distance from his older brother to his younger sister, using Pythagorean, Theorem, indicates that the distance from Chase to his younger sister in the assembly is 12 feet

Pythagorean Theorem states how the length of the sides of a right triangle are related, that is the square of the longest side of a right triangle is equivalent to the sum of the square of the other two sides.

The location of Chase, his younger sister, and his older brother forms a right triangle.

The distance from Chase to his older brother = A leg of the right triangle

The distance from Chase to his sister = A second leg of the right triangle

The distance from his older brother to his sister = The hypotenuse side of a right triangle

From the question, we get;

Distance between Chase and his older brother = 16 feet

Distance between Chase's older brother and his sister = 20 feet

According to Pythagorean Theorem, we get;

Distance between Chase and his younger sister = √(20² - 16²) = 12

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Answer:

Its C

Step-by-step explanation:

True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.

Step by Step Explanation:

Therefore, it is true to have more number of trials in Monte Carlo simulation  statistical sampling for precise result.

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Answer: 299

Step-by-step explanation: 333 X .9 = 299.7; Can't make .7 of a free throw.

The values will be of two digit either 92 or 29, 74 or 47 etc.

Let M = AB(A..B = 0…9) and N = BA. where A and B are numbers from 0 to 9.

The subtraction rule requires the last digit of the difference to be the Difference of A-B. To explain further, for example 44, take the last digit 4. This can be expressed as the difference of 5-1, 8-4, 4-0. (meaning 1st digit is A and 2nd digit is B) = 88 - 44 = 44, similarly 99-55  = 44, 44-0 = 44. So we can represent 44 according to the rules above.

For numbers greater than 100, the last digit can be represented as the sum of the numbers 0 through 9 and the numbers greater than 5. To explain this, let's analyze 121. The last digit is 1.

digit can be represented as the sum of the numbers 0 through 9 and the numbers greater than 5. To explain this, let's analyze 121.

The last digit is 1. Since the number is greater than 100, it must be expressed as the sum of single digit numbers that sum to 11,

so 9+2.8+3.7. + 4.6+5, then applying any of these gives 92+29 = 121, 83+38 = 121, 74+47+121, 65+56=121. So 121 is removed.

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1006.46471 in³ is needed for the right circular cone's volume.

The line connecting the vertex and the center of the circular base is the axis of a right circular cone.

In other words, the intersection of the cone's peak and the circular base's center point results in a right angle.

The appropriate circular cone volume formula is thus:

V=1/3hπr²

Diameter = 14.3 in

Radius = 14.3/2 = 7.15 in

Do the volume calculation now as follows:

V = 1/3hπr²

V = 1/3(18.8)π(7.15)²

V = 1006.46471 in³

Therefore, 1006.46471 in³ is needed for the right circular cone's volume.

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In order to solve the challenges we encounter every day, Problem solving strategies are needed. To tackle a specific problem, we must first comprehend it, then create a plan for resolving it, and finally, put the plan into action.            

To sum up, everyone must use problem-solving techniques to overcome the obstacles we confront.

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Answer: Acute

Step-by-step explanation:

I don't know

Answer:

$11.10

Step-by-step explanation:

Answer:

Step-by-step explanation:

18.50 x 3

Answer:

Step-by-step explanation:

c

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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a) The sales tax of the person with a subtotal of $24.95 is of: $2.37.

b) The subtotal of a person with a sales tax of $1.61 is of: $16.95.

The amounts are obtained applying the proportion of 9.5%, which represents the sales tax of this restaurant.

The sales tax of the person with a subtotal of $24.95 is obtained with the multiplication of the subtotal by the sales tax of 9.5% = 0.095 as follows, hence:

Sales tax = 0.095 x 24.95 = $2.37.

The subtotal of a person with a sales tax of $1.61 is obtained considering that $1.61 represents 9.5% = 0.095 of the subtotal x, due to the tax rate, as follows:

0.095x = 1.61

x = 1.61/0.095

x = $16.95 -> which is the subtotal of the person.

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Equations' true strength is in their ability to explain numerous aspects of the world in a highly accurate manner.

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.

An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

We may determine whether a given point lies on a line using the equation of any line. The line's equation is a linear equation of degree one. The slope of the line and a point on the line can be used to create the equation of a line.

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30.54cm is the length of the vertical leg.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In a right angled triangle  the horizontal leg has a measure of 42.7 centimeters(cm).

The hypotenuse has a measure of 52.5cm.

We need to find the measure of the vertical leg.

We can find this by using pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

52.5²=42.7²+x²

2756.25=1823.29+x²

Subtract 1823.29 on both sides

2756.25-1823.29=x²

932.96=x²

Taking square root on both sides

x=30.54

Hence, the length of the vertical leg is 30.54cm.

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Answer: 85.1

Step-by-step explanation:

Assuming you are asking for the monthly principal and interest payment for the loan, it would be:

$1,021.76.

The calculation for the monthly mortgage payment is as follows:

P = (r * (1 + r)^n) / [(1 + r)^n - 1] * A

P = Monthly Payment

r = Monthly Interest Rate (6.5%/12 = 0.00542)

n = Number of Months (30 x 12 = 360)

A = Loan Amount (218,500 - (218,500 x 0.035 = 7,645) = 210,855)

Therefore, the monthly payment would be:

P = (0.00542 * (1 + 0.00542)^360) / [(1 + 0.00542)^360 - 1] * 210,855

P = $1,021.76

When calculating compound interest, the starting principle amount is multiplied by one along with the annual interest rate raised to the number of compound periods minus one. The resulting value is then reduced by the full initial loan amount. Investopedia, 2019. Katie Kerpel, "Copyright."

For instance, after a year, if you deposited $1,000 in an account with 1% yearly interest, you would have received $10 in interest. Compound interest allows you to earn 1% on $1,010 in Year Two (principal plus interest), which translates to $10.10 in interest payments for the year.

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The equation of best fit is y = (-22/5)x + 10.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The following coordinates are given:

Pick two coordinates.

(0, 10) and (25, -100)

The equation of best fit.

y = mx + c

Now,

m = (-100 - 10) / (25 - 0)

m = -110 / 25

m = -22/5

Now,

(0, 10) = (x, y)

10 = (-22/5) x 0 + c

c = 10

Now,

y = mx + c

y = (-22/5)x + 10

Thus,

Using the coordinates the equation of best fit is y = (-22/5)x + 10.

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The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 2x+4y+z = 2.

and given F = 1i + 1j + 2k

divG = div(2x+4y+z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA

φ = ∫ (2 + 4 + 2)dA

= 8∫dA

A = 1/2 XY (on the given x-y plane)

2x+4y =2

at x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Therefore flux = 8*1/4 = 2

φ = 2.

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The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.      

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.      

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Answer:   [tex](-\infty, -3) \ \cup (-2, \infty)[/tex]

====================================================

Explanation:

Let's solve the first inequality.

4(x+1) > -4

4x+4 > -4

4x > -4-4

4x > -8

x > -8/4

x > -2

The inequality sign doesn't flip since we didn't divide both sides by a negative value.

Now let's solve the other inequality.

2x-4 < -10

2x < -10+4

2x < -6

x < -6/2

x < -3

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

To summarize:

Draw out a number line. Place open holes at -3 and -2.

Shade to the right of -2 and to the left of -3 to indicate x > -2 and x < -3 respectively.

See the diagram below.

The interval in red is x < -3. This is the same as [tex]-\infty < \text{x} < -3[/tex] and that becomes the interval notation [tex](-\infty, -3)[/tex]

The interval in blue is x > -2. It is the same as [tex]-2 < \text{x} < \infty[/tex] which becomes the interval notation [tex](-2, \infty)[/tex]

Glue those interval notations together to end up with the final answer of [tex](-\infty, -3) \ \cup (-2, \infty)[/tex]

The "U" is the union symbol.

Answer:*2 proof:intersect

*3 62 = wx__3x-14

Step-by-step explanation:

Answer:

postivie first

equal to 0 next

postivie next

negative

The rate at which water is being pumped into the tank in cubic centimeters per minute is 289.252.7 [tex]cm^{3}/min[/tex]

the volume that a substance or thing takes up or the space it takes up inside a container, especially when it is large.

given

For the given cone the ratio of radius to height is  [tex]\frac{1}{3}[/tex]

so [tex]r= \frac{1}{3}h[/tex]

V=[tex]\pi \frac{r^{2}h}{3}[/tex]   becomes V= [tex]\frac{\pi h^{3} }{27}[/tex][tex]\frac{800000}{9}cm^{3}/min[/tex]

[tex]\frac{dV}{dh}=\frac{\pi h^{2} }{9}[/tex]

We are interested in how Volume has changed over time and see that

[tex]\frac{dV}{dt}=\frac{dV}{dh} * \frac{dh}{dt}[/tex]

Using the result we already determined for [tex]\frac{dV}{dh}[/tex] in addition to the given figure of 20 cm/min (at a height of 200 cm )

we get,

[tex]\frac{dV}{dt } = \frac{\pi (200 cm)^{2}*20 cm }{9 min}[/tex]

= [tex]\frac{800000}{9}cm^{3}/min[/tex]

or roughly, 279,252.7 [tex]cm^{3}/min[/tex]

This is the inflow rate necessary to cause an increase in height while ignoring the rate of leakage.

The sum of these two has to represent the actual inflow rate:

279,252.7 [tex]cm^{3}/min[/tex] +  10000 [tex]cm^{3}/min[/tex]

289.252.7 [tex]cm^{3}/min[/tex]

hence the rate at which water is being pumped into the tank in cubic centimeters per minute is 289.252.7 [tex]cm^{3}/min[/tex]

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The given function is solved to obtain x = -4, 0.5.

Quadratic formula is used to find the roots of a quadratic function f(x) = ax² + bx + c as x = (-b ± √(b² - 4ac))/2a.

The expression b² - 4ac is called the determinant D.

When D = 0, roots are real and equal.

For D > 0, roots are real and unequal and for D < 0, roots are complex conjugates.

The given quadratic function is f(x) = 2x² + 7x - 4.

It can be solved by using quadratic formula as follows,

2x² + 7x - 4 = 0

x = (-7 ±√(-7²- 4 × 2 × -4))/(2 × 2)

  = (-7 ± 9)/(2 × 2)

  = -4, 0.5

Hence, the value of x found by using quadratic formula are -4 and 0.5 respectively.

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