what type of correlation relationship is "the number of fire stations in a city is positively correlated with the number of parks"

Answer:

y = -2x - 3

Step-by-step explanation:

   Parallel lines have same slope.

  y =  -2x + 1

Compare with the equation of line in slope intercept form y = mx + b

Here m is the slope and b is the y -intercept

 m = -2

m = -2  ; line passes through (0 , -3)

Equation of line in slope intercept form:

             [tex]\sf \boxed{\bf y - y_1=m(x-x_1)}[/tex]

             y - [-3] = -2(x - 0)

                 y +3 = -2x

                       y = -2x - 3

Answer:

.0228

Step-by-step explanation:

44 is two standard deviations below the mean   z-score = -2

look up z-score = -2 in z-score table

= .0228        or    2.28 %

Answer:

0.025

Step-by-step explanation:

Answer:

y<7

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer: y < 7

Step-by-step explanation:

We can assume that the less than sign is an equals sign and use algebra to isolate y.

[tex]5y+1-1 < 36-1\\ 5y < 35\\\frac{5y}{5} < \frac{35}{5}\\ y < 7[/tex]

We first subtracted 1 from both sides to get rid of the +1.

Then we divided both sides by 5 to isolate y.

Answer: R: {f(x) ∈ ℝ | f(x) ≥ 4}

Step-by-step explanation:

[tex]|x-3| \geq 0[/tex] for all real x, so the range is [tex]f(x) \geq 4[/tex].

Answer:

  A. {-4, -3, 7, 8}

Step-by-step explanation:

The ordered pairs representing a function are always written ...

  (input, output)

The set of inputs for the given function is the list of first-numbers of the ordered pairs. Those numbers are -3, -4, 8, 7. When we express them as a set, we like to have the elements of the set in increasing order:

  inputs = {-4, -3, 7, 8} . . . . . . matches the first choice

Step-by-step explanation:

"t t hours" ????

you mean 11 hours ?

13 gallons now.

2 gallons are used (and therefore disappear from the tank) per hour.

so, in 5 hours 5×2 = 10 gallons will be used.

that leaves 13 - 10 = 3 gallons in the tank.

in 11 hours 11×2 = 22 gallons would have been used.

but there are only 13 gallons in the tank.

so, if he does not fill up, he will have 0 gallons left after 11 hours. in fact, already after 13/2 = 6.5 hours.

the point :

when you use 2 gallons per hour, that means in t hours you are using t × 2 or 2t gallons.

30 pounds of coffee A and 60 pounds of coffee B used.

According to statement

Type A coffee costs Charmaine $4.25 per pound

Type B coffee costs $5.40 per pound.

Total cost of month on coffee is $451.50

AND

B=2A -(1)

Let's form the equation

4.25A + 5.40B = 451.50

Put equation 1 in it then

4.25A + 5.40*2A = 451.50

15.05A = 451.50

A = 30 pounds then

B = 60 pounds.

So, 30 pounds of coffee A and 60 pounds of coffee B used.

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The dividend is [tex]2x^2+9x+7[/tex] while the divisor is x + 1

Option A is correct

The coefficient outside the division block is -1.

This means that the divisor = x + 1

Also, the coefficients of the dividend are:

2, 9, 7

The highest exponent is 2 since there are three terms in the polynomial. Three terms show that the expression is a quadratic expression

Therefore, the dividend is [tex]2x^2+9x+7[/tex]

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The total amount of manufacturing overhead cost is closest to $ 29,500.

In business, overhead or overhead rate refers to an ongoing fee for working in a commercial enterprise. Overheads are the expenditure that can not be quite simply traced to or recognized with any unique revenue unit, not like running fees which include uncooked cloth and exertions.

Overhead fees, frequently referred to as overhead or working prices, confer with those expenses associated with running a commercial enterprise that cannot be connected to creating or producing a product or service. they're the prices the business incurs to live in the enterprise, irrespective of its success degree.

Examples of overhead encompass hire, administrative expenses, or worker salaries. Overhead fees may be observed on a business enterprise's income assertion, wherein they are subtracted from its profits to reach at the internet profits discern.

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Answer:

It was difficult reading the question, as written.  Check my assumptions.

Step-by-step explanation:

"five more than the product of two and a number,

decreased by seven"

---

Let the "number" be a.

We are told "five more than . ." means +5,

"the product of two and a number" means 2a,

"decreased by seven" mean -7

Put the statements together to obtain:

+5+2a-7

Simplify to 2a-2

Evaluate when a = 8:

2a-2

2(8)-2

16-2

= 14

Answer:

The remaining 15 athletes did not participate in any type of flexibility program

The linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).

Cubic equations are polynomials of third grade, whose standard and factor forms are shown below:

Standard form

y = a · x³ + b · x² + c · x + d

Factor form

y = (x - r₁) · (x - r₂) · (x - r₃)

Where r₁, r₂, r₃ are the zeros of the cubic equation.

There are several approaches to find the roots of the polynomial, in this question we decided to use the graphical approach, which offers sufficiency and quickness for analysis. The roots of the polynomials are the points that pass through the x-axis.

In accordance with the image attached below, the polynomial has three real roots: r₁ = - 20, r₂ = - 5, r₃ = 15. Then, the linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).

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The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

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Answer:

-3

Step-by-step explanation:

The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.

On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.

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The length of the arc made by the big hand if the tip travels from 6:00pm to 6:20pm is 0.52 feet

An equation is an expression that shows the relationship between two or more variables and numbers.

The clock reads 12 hours (720). The angle if the tip travels from 6:00pm to 6:20pm (20 minutes) is:

Ф = (20/720) * 360 = 10°

The length of the arc is given as:

Length of arc = (Ф/360) * 2π * length of hand = (10/360) * 2π(3) = 0.52 feet

The length of the arc made by the big hand if the tip travels from 6:00pm to 6:20pm is 0.52 feet

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The rational function that matches with the graph of the picture is f(x) = (2 · x + 7.2)/(x + 3).

Herein we have the graph of a rational function of the form f(x) = p(x)/q(x) . The domain of these kind of functions is all real numbers except those values of x such that q(x) = 0. Graphically speaking, there is a vertical asymptote when a discontinuity exists and an horizontal asymptote for x → ± ∞.

In accordance with the picture, there are one horizontal asymptote and one vertical asymptote. As the horizontal asymptote of the function is distinct of 0, then the grade of p(x) is the same grade of q(x). Therefore, we have a rational function of the form:

f(x) = (2 · x + k)/(x + 3)     (1)

If we know that x = 0 and y = 2.4, then the value of k is:

2.4 = (2 · 0 + k)/(0 + 3)

2.4 = k/3

k = 7.2

Therefore, the rational function that matches with the graph of the picture is f(x) = (2 · x + 7.2)/(x + 3).

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The interquartile range of the data set is 8

To do this we have to arrange in ascending order

= 8,9,9,9,10,11,13,15,17,18,22

Q2 = The median of the data is 11.

We have to find the median of the half before 11 and the median of the half after 11.

We would have

8,9,9,9,10

Q1 = 9

And 13,15,17,18,22

Q3 = 17

The interquartile range is

Q3 - Q1

= 17 - 9

= 8

The interquartile range of the data set is 8

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Correct question

Study the following data set.

{8,15,9,18,9,17,22,10,11,9,13}

What is the interquartile range of the data set?

Option B. The situation that would be more likely to show a constant rate of change would be B. The distance traveled by a truck driving at a constant speed compared with time.

This is the factor that is used to determine if there is a decrease or an increase in a given factor.

A good way to d this is by the use of time and speed to compare the distance that is being traveled.

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Complete question

Which situation is most likely to show a constant rate of change?

A. The weight of a child compared with its age in months

B. The distance traveled by a truck driving at a constant speed compared with time

C. The cost of a new car compared with the number of tires it has

D. The outside temperature compared with the time of day

Answer: -1

Step-by-step explanation:

Remember to use the slope formula.

[tex]\frac{y2-y1}{x2-x1}[/tex]

Then plug in your points:

[tex]m=\frac{-1-(4)}{2-(3)}[/tex]

Simplify

[tex]m=\frac{-5}{5}[/tex]

Divide -5 by 5 and your Answer is:

[tex]m=-1[/tex]

Hopes this helps!

Answer:

-1

Step-by-step explanation:

As given in the picture you provided, the slope is defined as: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the reason for this, is because in subtracting y_1 from y_2, you're finding how much the y-value changed, or in other words, the rise. When subtracting x_1 from x_2 you're finding how much the x-value changed, or in other words the run. Another way of expressing the slope that you may have seen is: [tex]\frac{rise}{run}[/tex] which is essentially what this slope formula is doing.

One thing to note is that what I assign to (x_1, y_1) and (x_2, y_1) doesn't matter, as long as they're two different points on the linear line.

So let's just say that: [tex](x_1, y_1) = (-3, 4)[/tex] and that: [tex](x_2, y_2) = (2, -1)[/tex]

Now plugging these values into the equation we get: [tex]\frac{-1-4}{2-(-3)} = \frac{-5}{5} = -1[/tex]

So the slope is -1

Answer:

52 degrees

Step-by-step explanation:

Really easy, i learned it this summer

1. 180-128=52

2. 3=52 cus  alternate interior angles

Answer:426.6

Step-by-step explanation:

.138 x =.088(x - 69.7) + .394(69.7)

.138 x -  .088x = 69.7(.394 - .088)

.05x = 21.3282

/

x = 426.564

This rounds to x = 426.6

⊰___________________ ___________________________________ __⊱

Answer:

Yes, it is a polynomial

Step-by-step explanation:

This polynomial is a trinomial, since it has 3 terms (the prefix tri means three) and its degree is 3 (the degree of a polynomial is the largest exponent in that particular polynomial).

Done !! Hope this made sense to you !!

⊰________________________________________________________⊱

[tex]\small{\pmb{\tt{CALLIGRAPHY}}[/tex]

By applying the law of cosine, the length of side BM is equal to 7.05 cm..

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Note: The number of sides (n) of a pentagon is 5.

In Geometry, the interior angle of both a regular and irregular polygon is given by this formula:

Interior angle = 180 × (n - 2)/n

Interior angle = 180 × (5 - 2)/5

Interior angle = 180 × 3/2

Interior angle = 108°.

For the central angle, we have:

Central angle, O = 360/5

Central angle, O = 72°.

By applying the theorem of intersecting secants, angle OCB will be given by this formula:

<OCB = ½ × (180 - 72)

<OCB = ½ × 108

<OCB = 54°.

In order to determine the length of side BM, we would apply the law of cosine:

cos(θ) = Adj/Hyp

cos54 = BM/12

BM = 12 × cos54

BM = 12 × 0.5878

Side BM = 7.05 cm.

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The equation becomes of the pressure is   P = 90 + 10 sin(π/36(t +4 ))

By observation the sine function should be of form P=  90 + 10 sin(ω(t − c)) as it oscillates about 90 and with a factor of 10. Let time be represented by the variable t in hours from 12.00 AM.

At 2:00 P.M. that is t= 14 hours the pressure is 100 mmHg

Substituting it in the equation we get,

100 = 90 + 10 sin(ω(t − c))

10 = 10  sin(ω(14 − c))

1 = sin(ω(14 − c))

ω(14 − c) = π/2                           -1)

At 2:00 A.M. that is t= 2 hours the pressure is 80 mmHg

80 = 90 + 10 sin(ω(t − c))

-10 = 10 sin(ω(2 − c))

3π/2 = ω(2 − c)                           -2)

dividing 2) with 1) we get

3 = (14 − c) /(2 − c)  

6 - 3c = 14 - c

2c = -8

c = - 4

Substituting the value of c in 1) we get,

ω(14 − (-4)) = π/2

ω18 =  π/2

ω = π/36

Thus the equation becomes  P = 90 + 10 sin(π/36(t +4 ))

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The first error in the proof is the fourth reason

Mathematical proofs are statements or collections of statements that are used to prove or disprove a statement, proof or theory

To determine the first error in the proof, we simply read through the statements and the given reason

From the table in the question, we have the following conclusions

Hence, the first error in the proof is the fourth reason

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The value for x and y are 140° and 70° respectively.

There are two ways to solve polygon question. Formula for the sum of interior angle and sum of the  exterior angle of regular polygon.

Sum of the interior = (n - 2)180

Sum of the exterior = 360/n

Where n = number of sides of a polygon.

The regular polygon in which x is one of its angle is called decagon

Sum of the interior = (n - 2)180

n = 10

Substitute n into the formula

Sum of the interior angle = (10 - 2)180

Sum of the interior angle  = (8)180

Sum of the interior angle = 1440

Each angle = 1400/10

x = 140°

For y, the three angles are similar.

sum of angle in a triangle = 180

Since the each triangle is an isoceles triangle, angle at each base will be y

40 + y + y = 180

2y = 180 - 40

2y = 140

y = 70°

Therefore, the value for x and y are 140° and 70° respectively.

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