Determine which of the following variables would be best modeled as continuous random variable.

A; The number of movies watched by a person in one year

B; The number of newborn babies delivered in a hospital on a certain day

C; The distance between two cars on the freeway.

D; The height of a skyscraper in New York City.

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we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Approximately 95% of the time, we can expect the mean concentration of the insecticide dieldrin in repeated samples of 8 male minke whales to be less than 369.065 ng/g (rounded to 3 decimal places).

To determine the value below which we can expect the mean concentration of the insecticide dieldrin in repeated samples of 8 male minke whales to fall 95% of the time, we need to calculate the 95% confidence interval.

Given that the population mean concentration of dieldrin in male minke whales is 340 ng/g and the standard deviation is 50 ng/g, we can use the formula for the confidence interval of the mean with a normal distribution:

Confidence Interval = X ± Z * (σ/√n)

Where:

X is the sample mean,

Z is the Z-score corresponding to the desired confidence level (95% in this case),

σ is the population standard deviation, and

n is the sample size.

Since the sample size is 8, and we want the lower limit of the confidence interval, we need to find the Z-score that corresponds to the area to the left of 0.05 (1 - 0.95) in the standard normal distribution.

Using a standard normal distribution table or calculator, the Z-score that corresponds to an area of 0.05 to the left is approximately -1.645.

Substituting the given values into the formula, we have:

Confidence Interval = 340 - (-1.645) * (50 / √8)

Simplifying the equation:

Confidence Interval = 340 + 1.645 * (50 / √8)

Confidence Interval ≈ 340 + 1.645 * 17.678

Confidence Interval ≈ 340 + 29.065

Confidence Interval ≈ 369.065

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Answer:  Slope of the line formed by the data is -3.  

m=-3    for    y=mx+b.

Step-by-step explanation:  The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line.  I'll pick 2 points:  (-4,17) and (9,-22).  Any two points will work, if it is a straight line.  For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y.  x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.

The rise(y) over the run(x) for these points is thus (-39/13) = -3

The slope is -3

Answer:

B. y=x+2

Step-by-step explanation:

the lines goes up by 1 for the x-intercept so you don't have to write 1x you can just write it as x

and the y intercept is at (0,2) so it would be +2

Answer: y = 7x + 10

Step-by-step explanation:

Slope-intercept form is: y = mx + b

where m is the slope and b is the y-intercept.

Knowing this, you can plug in your values for the slope and the y-intercept in place of their respective variables. The slope of 7 would replace m and the y-intercept of 10 would replace b to get y = 7x + 10.

Answer:

35

Step-by-step explanation:

if you have 40$ and you want money to have left for the shirt (5$), you subtract 5 from 40 and get 35

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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The exact value of cos H from the right triangle is cos(H) = 0.98

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

The right triangle

The exact value of cos H can be calculated as

cos(H) = HI/HJ

Where

HI = 40 and HJ = 41

So, we have

cos(H) = 40/41

Evaluate

cos(H) = 0.98

Hence, the value is 0.98

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Use ratio

45 bricks : 65 mins

500 bricks : x mins

x = 500 / 45 * 65 = 722.22 mins

Answer:

\( \frac{8}{28} = \frac{10}{3x - 5 + 10} \\ \\ = > 10 \div \frac{ 8}{28} = 3x + 5 \\ \\ < = > 35 = 3x + 5 \\ \\ < = > 3x = 30 \\ \\ < = > x = 10\)

Answer:

\( \frac{28}{(3x - 5) + 10} = \frac{28 - 8}{3x - 5} \\ 28(3x - 5) = 20(3x + 5) \\ 84x - 140 = 60x + 100 \\ 24x = 240 \\ x = 10\)

A differential equation is an equation that relates an unknown function to its derivatives. It involves the derivatives of the function and represents the relationship between the function and its rate of change.

Given that the differential equation of a second-order system is \(\frac{d^2y}{dt^2}+2\zeta\omega_n\frac{dy}{dt}+\omega_n^2 y=u(t)$$with $\omega_n=4$ rad/sec and\\\zeta=0.25\), the transfer function is

\(\frac{Y(s)}{U(s)}=\frac{1}{s^2+2\zeta\omega_ns+\omega_n^2}\)

Therefore, the characteristic equation is given by

\(s^2+2\zeta\omega_ns+\omega_n^2=0\). Substituting\(\omega_n\) and \(\zeta\)

into the above equation, we get

\(s^2+2(0.25)(4)s+(4)^2=0\)

Simplifying, we get

\(s^2+2s+16=0\)

Therefore, the characteristic equation of the second-order system is \($$s^2+2s+16=0$$\) The two poles of the system can be obtained by solving the above equation. Using the quadratic formula, we get

\(s=\frac{-2\pm\sqrt{2^2-4(1)(16)}}{2(1)}=-1\pm 3i\)

Therefore, the two poles of the system are \($p_1=-1+3i$\) and \($p_2=-1-3i$\).

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Sososos

Step-by-step explanation:

Answer:

HJ = 31

m<F = 25

Step-by-step explanation:

We are told that the two triangles are similar, so they both have the same side lengths and angle measures.

Angle F is the same as angle J so they both will be 25 degrees

Side length EF is the same as HJ so they are both 31

We have the inequality:

Now, in order to solve, we will do as follows:

n will take all the values from -9 to 7, any number smaller than -9 will make it false and any number greater than 7 will make it false.

Now, in order to graph the solution, we will have:

Answer:

y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

So your answer is B

Hope this helps  c;

Answer:

Step-by-step explanation:

When multiplying fractions, simply multiply the numerators together and then multiply the denominators together.

This works whether the denominators are the same or not.

(e.g) if you multiply the fractions 3/2 and 4/3 together, you get 12/6.

hope this explanation helped..<3

Answer:

Number of hamburgers bought = 4

Number of hotdogs bought = 9

Step-by-step explanation:

Let

Number of hamburgers bought = n

Number of hotdogs bought = n + 5

Hamburgers cost = $6.25

Hotdogs cost = $3.75

Total cost = $58.75

6.25n + 3.75(n + 5) = 58.75

Open parenthesis

6.25n + 3.75n + 18.75 = 58.75

Collect like terms

6.25n + 3.75n = 58.75 - 18.75

10n = 40

Divide both sides by 10

n = 40 / 10

= 4

n = 4

Number of hamburgers bought = n = 4

Number of hotdogs bought = n + 5

= 4 + 5

= 9

Answer:

The equation of the graph is   y = -lx - 4l - 1.

Step-by-step explanation:

As the values of y are same before and after (4, -1)

the slope of the graph is change on point (4, -1)

the equation of first line is

y - (-1) = 1 (x -4)

the equation of the second line is:

y - (-1) = -1 (x - 4)

As value of y should remain same in both equations

therefore: y - (-1) = - lx - 4l

y = - lx - 4l -1

The equation of the graph is   y = -lx - 4l - 1.

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Answer:

SA = 2πr² + 2πrh

Step-by-step explanation:

2πr² will provide the surface area of the top and bottom of the cylinder

2πrh will provide the surface area of the cylinder portion that connects the top and bottom

Answer:

A. The Highest Points Of The Graph

Step-by-step explanation:

A nonperiodic function is one that generates a graph without a regular recurring pattern over a fixed time interval. A repeating section of a graph is called the period.

The confidence interval can be expressed as:

p ± E = 0.888 ± 0.111

To express the confidence interval 0.777 < p < 0.999 in the form p ± E, we need to first calculate the point estimate of the population proportion p.

The point estimate is simply the midpoint of the confidence interval, which is given by:

Point estimate = (lower limit + upper limit) / 2

= (0.777 + 0.999) / 2

= 0.888

Next, we need to calculate the margin of error (E) using the formula:

E = (upper limit - point estimate) = (0.999 - 0.888) = 0.111

Therefore, the confidence interval can be expressed as:

p ± E = 0.888 ± 0.111

So the confidence interval is 0.777 < p < 0.999, which can also be written as p ± 0.111.

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Answer:

2.7 square inch

Step-by-step explanation:

\( \triangle BAC \sim \triangle EDF... (Given) \\\)

\( \therefore \) By area of similar triangle theorem:

\( \frac{A(\triangle BAC)}{A(\triangle EDF)} = \frac{BC^2}{EF^2} \\\\

\therefore \frac{6}{A(\triangle EDF)} = \frac{3^2}{2^2} \\\\

\therefore \frac{6}{A(\triangle EDF)} = \frac{9}{4} \\\\

\therefore A(\triangle EDF) = \frac{4\times 6}{9} \\\\

\therefore A(\triangle EDF) = \frac{24}{9} \\\\

\therefore A(\triangle EDF) = 2.6667\\\\

\huge \purple {\boxed {\therefore A(\triangle EDF) = 2.7\: in^2}} \)

Answer:

\(3p,3q,3r\)

Step-by-step explanation:

Dilation is not a rigid transformation, for it is not an isometry, hence a dilation produces similar and not congruent figures.

If we have to dilate a \(\bigtriangleup ABC\) with  scale factor of 3, with this centered at its origin,with its sides p, q and r. We'll have \(\bigtriangleup A'B'C'\) having 3p,3q, 3r.

The slope in a Dilation is considered carefully when it is not dilated at its center. Well it is. And we're not dilating line segments, then it'll look like this (check below)

\(D_3(x,y) A'=3A, B'=3B, C'=3C\\\)

So its line segments will be thrice the value of its original triangle as well.

Answer:

1.2 and 3q

Step-by-step explanation:

The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

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

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

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Answer:

39/98=90 so its 90

Step-by-step explanation:

you have to add the angles and to make sure to look at each corners  of the angles for the answer

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

The maximum rectangular area that can be fenced can be

2499 sq meters.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know for a quadrilateral, A square has the maximum area.

We also know That the product of two numbers is maximum when the difference between them is minimum.

Given, A farmer has 2,000 meters of fencing and wants to use it to create a rectangular area for grazing.

So, 2(l + b) = 2000.

l + b = 1000.

For a square, it would be 500 and 500, But to be a rectangle it can be 49 and 51.

Therefore, The maximum area would be,

= (51×49) sq meters.

= 2499 sq meters.

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Answer: nevermind makes sense now

1 and 1/6

The function that gives the shares received by a post whereby each friend

shares the post a constant multiple of times each day is exponential.

The given table of values for Ben's social media post is presented as follows;

\(\begin{tabular}{|c|c|}Day&Number of shares\\0&2\\1&6\\2&18\end{array}\right]\)

The number of shares triples everyday, therefore, the number of shares form a geometric progression, with a common ratio of r = 3, and a first term of a = 2

The function for the number of shares of Ben's post is, tₙ  = a·rⁿ

Which gives;

Number of friends Carter shared his post with = 10 friends

Number of people each of the 10 friends shared with each day = 2 people

The exponential function for number of shares received by Carter is therefore, tₙ = 10×2ⁿ

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