the distribution of prices for home sales in minnesota is skewed to the right with a mean of $290,000 and a standard deviation of $145,000. suppose you take a simple random sample of 100 home sales from this (very large) population. what is the probability that the mean of the sample is above $325,000?

To find the cost function, we need to integrate the marginal cost function with respect to x.

Given that dC/dx = 14x + 9, we can integrate both sides with respect to x to find C(x):

∫dC = ∫(14x + 9) dx

Integrating 14x with respect to x gives (14/2)x^2 = 7x^2, and integrating 9 with respect to x gives 9x.

Therefore, the cost function C(x) is:

C(x) = 7x^2 + 9x + C

To determine the constant of integration C, we can use the given information that when x = 17, C = 100. Substituting these values into the cost function equation:

100 = 7(17)^2 + 9(17) + C

Simplifying the equation:

100 = 7(289) + 153 + C

100 = 2023 + 153 + C

100 = 2176 + C

Subtracting 2176 from both sides:

C = -2076

Therefore, the cost function is:

C(x) = 7x^2 + 9x - 2076

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

Point A is (4,3) Point B is (4,6) Point C is (8,3)  if that is what you are looking for.

Step-by-step explanation:

If a number is divisible by 5 and 7, then that number is divisible by LCM(5, 7) = 35. So count the multiples of 35 in the range.

Since

9999 = 35•285 + 24

we know there are 285 multiples of 35 among the positive integers 1-9999. We also have

1000 = 35•28 + 20

so there are 28 multiplies of 35 less than 1000.

Then there are 285 - 28 = 257 multiples of 35 in the given range.

The new area of a figure with an initial area of 125 units, after a dilation with a scale factor of 5, will be 3,125 units.

To find the new area after dilation, we can follow these steps:

Step 1: Understand the problem.
We are given a figure with an area of 125 units and need to find the new area after a dilation with a scale factor of 5.

Step 2: Determine the relationship between scale factor and area.
When a figure is dilated with a scale factor, the area of the figure changes according to the square of the scale factor. In this case, the scale factor is 5.

Step 3: Calculate the new area.
To find the new area, multiply the initial area (125 units) by the square of the scale factor (5^2).

New Area = Initial Area × (Scale Factor)^2
New Area = 125 units × (5)^2
New Area = 125 units × 25
New Area = 3,125 units

So, after a dilation with a scale factor of 5, the new area of the figure will be 3,125 units.

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Evan can play 2 games of mini golf and 9 games of kart track.

Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,

He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.

We need to find how many games he played of both the games,

So, let he played x games of kart track and y games of mini golf,

So,

x + y = 11

x = 11 - y.............(i)

10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]

Use the equation i in ii,

So,

10(11-y) + 45y = 180

110 - 10y + 45y = 180

35y = 70

y = 2

Put y = 2 in equation 1,

x = 11-2

x = 9

Hence he played 2 games of mini golf and 9 games of kart track.

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As the alternate hypothesis is a two-tailed test the p-value for this hypothesis test is 0.0512.

Here the null hypothesis, H₀, is μ₁ =μ₂

    Alternate hypothesis,  H₁ , is  μ₁ ≠ μ₂

The statistical test is said to be a two-tailed test. So the critical area of of distributions are on both sides of the range.

Here t test-ind method for spicy module is used.

The output is given as (-1.99 , 0.0512)

In such an output the first value is the test statistic value and second value is the p-value.

So the test statistic value = -1.99

p-value = 0.0512.

So the p-value is 0.0512.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

P = 2x +2y + 14

Step-by-step explanation:

The perimeter of the rectangle is 2x + 2y + 14.

The perimeter of an object is calculated by adding the sides length of the objects.

Given that, the length and width of a rectangle is x+8 and y-1, we need to find the perimeter,

P = 2(length + width)

P = 2(x+8+y-1)

P = 2(x+y+7)

P = 2x+2y+14

Hence, the perimeter of the rectangle is 2x + 2y + 14.

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The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

23.

Step-by-step explanation:

250-227=23

all you need to do is subtract

Answer:

23

Step-by-step explanation:

Actual - predicted return:

250 - 227 = 23

There were 23 more students than Jason predicted would come to the dance.  

Actual value: 250

Predicted value: 227

I hope this helps!!

- Kay :)

Answer:

not possible or not determined is answer

Step-by-step explanation:

because let his father be 33

ad his son be 17

15 years ago

son will be 2

and father will be 18

not possible father's age ≠son's age in any respect unless and until father's age is decreased

Hello there!

Given the sequence:

\( \displaystyle \large{ 1, - 3,9, - 27,...}\)

The question reveals it to be geometric sequence since it has common ratio.

Geometric Sequence / Ratio Formula

\( \displaystyle \large{r = \frac{a_{n + 1}}{a_n} }\)

Define 'r' as common ratio.

First, let's check the common ratio by using the formula above.

Ratio Check

\( \displaystyle \large{r = \frac{ - 3}{1} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ 9}{ - 3} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ - 27}{9} \longrightarrow - 3 }\)

Therefore, the common ratio or r-value is -3.

To find the 7th term of sequence, you can by using the General Geometric Terms.

General Term of Geometric

\( \displaystyle \large{a_n = a_1 {r}^{n - 1} }\)

a1 is defined as the first term of sequence.

r is common ratio.

n is the term.

Since we want to find 7th term:

\( \displaystyle \large{a_7 =1{( - 3)}^{7 - 1} } \\ \displaystyle \large{a_7 =1{( - 3)}^{6} } \\ \displaystyle \large{a_7 =729 }\)

Therefore, the 7th term of this sequence is 729.

Let me know if you have any questions!

Topic: Sequence and Series / Geometric Sequence

Line EF is 3 units long

Line CD is 8 units long

If you are scaling EF up to CD the scale is 8/3 = 2 2/3 ( 2.67)

If you are scaling CD down to EF the scale is 3/8 (0.375)

Answer:

43

Step-by-step explanation:

64-21=43

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Answer:

\((4,3)\)

Step-by-step explanation:

If the solution would've been written has y ≤ 2x - 5, \((4,3)\) would've been a solution

The equation of the parabola is y = 2(x - 1)² + 3

From the question, we have the following parameters that can be used in our computation:

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

Substitute the known values in the above equation, so, we have the following representation

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

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The dimensions of the rectangle which form the dining room is 7 by 5 meters.

The perimeter of the rectangle is 24 meters.

The total length of a shape's boundaries is its perimeter. The total lengths of all other edges and sides are added to find a shape's perimeter.

Let the length be a and the width be b.

Hence 2(a + b) = 24

or, a+b = 12

Now the area of the rectangle is given as 35 square meters.

Therefore ab = 35

now we will use these two equations to find the dimension of the rectangle

a+b = 12

or, a = 12 - b

again:

ab = 35

or, (12 - b)b = 35

or, 12 b - b² = 35

or,  - b² +12b -35 = 0

or,   b² - 12b + 35 = 0

or,  (b-7) (b-5) = 0

either b = 7 or b = 5 .

Therefore the value of a from the equations is 5 or 7.

Therefore the dimensions of the dining room are 7 by 5 meters.

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8+10+8+9+10+9= 54

54/6 = 9

Victor scored 9 points on his sixth quiz.

9

Answer:

the answr's 9 (im really sure it's correct btw)

mark me barinliestt :))

Explanation:

8,8,9,10,10

= median-- 9

---8,8,9,9,10,10

median= 9+9/2

= 18/2

= 9

Answer:

Roughly 16 million bacteria.

Step-by-step explanation:

Multiply the rate of the bacteria going through mitosis times the amount of daughter cells per hour, for this case.

r x (m)ms x hr = bacteria in one day

Hope this helps!

note: ms and hr are millisecond and hour

She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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Answer:

A) 3rd day

B) 5th day

C) 4th and 5th day

D) 23 fans

E) 223 fans

Step-by-step explanation:

A) Lowest number of fans sold is 30.

Least number of fans were sold on the 3rd day of the sale.

______________________________________________________

B) Number of fans sold on 3rd day = 30

To find the twice the number of 30, multiply 30 by 2.

Twice of 30 = 2 * 30 = 60

60 fans were sold on the 5th day of the sale.

______________________________________________________

C)  Shopkeeper sold more than 50 fans on 4th day (54 fans) and on the 5th day (60 fans).

______________________________________________________

D) Number of fans sold on day 1 = 37 fans.

    Number of fans sold on day 5 = 60 fans

                                     Difference = 60 - 37

                                                        = 23 fans

_______________________________________________________

E) To find the total fans sold, add all the fans sold on these 5 days.

  Total = 37 + 42 + 30 + 54 + 60

           = 223

________________________________________________________

Answer:

A

Step-by-step explanation:

x² - 12x + 36

consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 12)

the factors are - 6 and - 6 , since

- 6 × - 6 = + 36 and - 6 - 6 = - 12 , then

x² - 12x + 36

= (x - 6)(x - 6)

= (x - 6)²

a) The volume of the box (in cubic inches) when the cutout length is 0.8 inches can be represented using function notation as f(0.8).

b) The volume of the box (in cubic inches) when the cutout length is 1.2 inches can be represented using function notation as f(1.2).

c) The change in volume of the box (in cubic inches) when the cutout length increases from 0.8 inches to 1.2 inches can be represented using function notation as f(1.2) - f(0.8).

d) The change in volume of the box (in cubic inches) when the cutout length increases from 5.6 inches to 5.7 inches can be represented using function notation as f(5.7) - f(5.6).

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\(\boxed{\underline{\bf \: ANSWER}}\)

\( \tt {4x}^{2} y + 2xy - 6 + 5 {x}^{2} y - 8xy + 13 \\ \\ \sf Place \: like \: terms \: together. \\ \\ \tt = {4x}^{2} y + {5x}^{2} y + 2xy - 8xy - 6 + 13 \\ \\ \sf Now \: combine \: the \: like \: terms. \\ \\ = \boxed{\bf \: 9 {x}^{2} y - 6xy + 7}\)

__________________

Hope it helps. Good luck :)

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