a. When the relationship for a regression is positive, an X score above the mean will correspond to a Y score (above/below) the mean.b. When the relationship for a regression is negative, an X score above the mean will correspond to a Y score (above/below) the mean.

Answer:

Thus, 5/11 is the simplified fraction for 55/121 by using the GCD or HCF method. Thus, 5/11 is the simplified fraction for 55/121 by using the prime factorization method.

I hope it's helpful!

Answer:

m=3

Step-by-step explanation:

\(From\ the\ graph\ we\ observe\ that,\ \\Co-ordinate pair of Point 1 = (x_1,y_1) = (2,1)\\Hence,\\x_1=2, y_1=1\\Co-ordinate pair of Point 2 = (x_2,y_2) = (3,4)\\Hence,\\x_2=3, y_2=4\\Hence,\\We\ know\ that,\\\frac{Rise(y)}{Run(x)} =m\\m=\frac{y_2-y_1}{x_2-x_1 } \\m=\frac{4-1}{3-2}\\m=3\)

Answer:

Step-by-step explanation:

Answer:

\(\frac{dA}{dt}=\frac{6}{5}cm^2/min \)

Step-by-step explanation:

Given

\(\frac{dV}{dt}=12cm^3/min \) <-- The change in volume with respect to time

\(V=s^3\) <-- Volume of a cube

\(A=6s^2\) <-- Surface area of a cube

\(\frac{dA}{dt}=? \) <-- The change in surface area with respect to time

\(s=40cm\) <-- Length of edge of cube

Solve for ds/dt:

\(V=s^3\)

\(\frac{dV}{dt}=3s^2\frac{ds}{dt} \)

\(12=3(40)^2\frac{ds}{dt} \)

\(12=4800\frac{ds}{dt} \)

\(\frac{1}{400}=\frac{ds}{dt} \)

Solve for dA/dt:

\(A=6s^2\)

\(\frac{dA}{dt}=12s\frac{ds}{dt} \)

\(\frac{dA}{dt}=12(40)(\frac{1}{400}) \)

\(\frac{dA}{dt}=12(\frac{1}{10}) \)

\(\frac{dA}{dt}=\frac{12}{10} \)

\(\frac{dA}{dt}=\frac{6}{5}cm^2/min \)

Therefore, the surface area of the cube is increasing at a rate of 6/5 cm²/min when the length of an edge is 40 cm.

Let me know if you need more help with related rates!

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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\(|\Omega|=5\cdot4=20\)

a)

\(|A|=3\cdot2+2\cdot1=8\\\\P(A)=\dfrac{8}{20}=\dfrac{2}{5}\)

b)

\(|A|=3\cdot2+2\cdot3=12\\\\P(A)=\dfrac{12}{20}=\dfrac{3}{5}\)

c)

\(|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{20}=\dfrac{3}{10}\)

d)

\(|A|=2\cdot1=2\\\\P(A)=\dfrac{2}{20}=\dfrac{1}{10}\)

Answer:

3y ≤ 1/2x

Step-by-step explanation:

please give brainliest!!

3 times y is less than or equal to half of x can be written as 3y ≤ x/2 or x ≥ 6y.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

three times y is less than or equal to half of x can be written.

Three times y means that 3 is multiplied to y.

Half of x means that x is multiplied to 1/2.

This is an inequality expression.

We can write it as,

3y less than or equal to x/2.

3y ≤ x/2

Multiplying both sides by 2,

6y ≤ x

or x ≥ 6y

Hence the inequality expression is x ≥ 6y.

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The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 2 plus pi over 2 times n comma such that n is an integer is, 2 coscec 2x.

Since, Cosecant is one of the trigonometric ratios .

It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle.

It is also calculated as the reciprocal of the sine function.

Now, here if the vertical asymptotes is x = pi/2 + pi/2 (n).

This is not defined when n=0.

so, when x= pi/2,

sin 2x = sin x = 0

which means w =0 .

and we get the equation for cosecant function to be,

⇒ f(x) = 2 cosec 2x

since cosec x = 1/ sin x.

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The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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The regression equation that correctly models the data is B. y = 2.87x + 11.85

The regression equation is calculated using the following formula:

y = a + bx

where:

y is the dependent variable (daily food costs)

x is the independent variable (number of children in attendance)

a is the y-intercept

b is the slope of the line

The slope of the line is calculated using the following formula:

b = (∑xy - ∑x ∑y / n) / (∑x2 - (∑x)² / n)

Using the data from the table, we can calculate the y-intercept and slope of the line as follows:

a = 411 / 5 = 82.2

b = (13,393 - (143)(411) / 5) / (4,573 - (143)² / 5) = 2.87

Substituting the y-intercept and slope into the regression equation, we get the following equation:

y = 11.85 + 2.87x

Simplifying, we get the following equation:

y = 2.87x + 11.85

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Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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well it would be 17=1/3+13

6 and 60 could be the pair of numbers

The given parameters are:

GCF = 6

LCM = 60

Let the two numbers be x and y

So, we have

x * y = GCF * LCM

This gives

x * y = 6 * 60

By comparison, we have

x = 6 and y = 60

Hence, 6 and 60 could be the pair of numbers

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uhm, 67 and uknown number lol.

Answer:

100

Step-by-step explanation:

#20 naira - 20 * 100

= 2000kobo

2000/20

100

QED✅✅

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Answer:

The answer is D (edited)

Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

C) the length of DG and JL

Answer:

16.25cm²

Step-by-step explanation:

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

Answer:

Example 1: Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters and 11 centimeters. Solution: P = 5 cm + 9 cm + 11 cm = 25 cm

Step-by-step explanation:

Answer:

b. 25 cm

Step-by-step explanation:

P = all the sides added up

= 5 cm + 9 cm + 11 cm

= 25 cm

Answer:

you have nice handwriting

Step-by-step explanation:

no answer

The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

Answer:

72

Step-by-step explanation:

So draw a square and make an right angle in one of  the squares  corners! so basically what ever is on one side it's on the other side so theirs two 12 so 144 the dived my 2 which is 72!

I don't remember this sorry!

The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

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

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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Answer:

Step-by-step explanation:

y + 2 = 7(x - 2)

y + 2 = 7x + 14

y = 7x + 12

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.