the points -6/5 and -5/6 will line in which quadrant​

Option D is the correct answer i.e., the mean because the data distribution is skewed to the right.

From the given box plot we can get to know that there are more values towards the right end than the left end. Therefore it means that the data is skewed towards the right.

As we know when both sides of the median have the same number then it is a symmetrical box plot.

Whenever we deal with skewed graphs, the best option to choose from mean and median is always the median. This is because due to a large number of data values on one side, the mean will always be closer to that side. The median is not largely affected in this case.

Therefore, the correct answer would be option D. The median, because the data distribution is skewed to the right

To know more about the mean and median refer to the link given below:

https://brainly.com/question/14532771

#SPJ9

The complete question is:

Given the box plot, will the mean or the median provide a better description of the center?

a. The Mean, because the data distribution is symmetrically

b. the median, because the data distribution is symmetrical.

c. the mean because the data distribution is skewed to the right.

d. the median, because the data distribution is skewed to the right

Answer:

The answer is -5

Step-by-step explanation:

Each number moves down 5 as it moves to the right 1. Right is positive, and down is negative. -5 divided by 1 is -5.

Answer:

C

Step-by-step explanation:

To solve this question we would use , 15.35+(2.25×3)−2]÷3.

Answer = C

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

Read more about sequence at:

brainly.com/question/7882626

#SPJ1

Answer:

16

Step-by-step explanation:

48 ÷ 3 = 16

hope this helps...

Answer:

C

good luck, i hope this helps :)

Answer:

point C

Step-by-step explanation:

point C is 7 to the right and 1 up from D

Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, the search for a way to respond to them has spurred the development of mathematics.

Here,

Let's assume that the pipelines in this instance are "a" to drain the water in 6 hours, "b" to fill the water on its own in 4 hours, and "c" to fill the water in 5 hours.

Therefore, if "a" can empty it in 6 hours, it has only completed 1/6 of the task in that time. In 6 hours, "a" would have completed 6/6 or 1 whole, the entire task, and the cistern would have been fully filled, but in 1 hour, it has only accomplished 1/6 of that.

In an hour, "b" has completed barely a quarter of the task.

In that case, "c" has only completed 1/5 of the task in an hour.

Now, assuming it took "x" hours, if "a," "b," and "c" are running, and "a" is draining while b & c filling it up.

The cistern must be filled in "x" hours, thus after 1 hour, all three have completed only 1/x of the task.

well, let's add their rates, to see what we get then.

=> 1/4 + 1/5 -1/6= 1/x

=> 15 + 20 - 10 / 60 = 1/x

=>35/60 =1/x

=> x=60/35

=>1.71 hours

Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.

To know more about equation , visit

https://brainly.com/question/10413253

#SPJ1

The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

g(x) = f(x + 2) - 4

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

for such more question on function

https://brainly.com/question/13473114

#SPJ11

Matrix A is invertible such that A⁻¹ = - A - 3I. This is solved using the Calely Hamilton Theorem.

This theorem says that every square matrix satisfies its own characteristic equation. In other words, the scalar polynomial

p(λ) = det(λI − σ) also holds for the stress polynomial p(σ).

It also states that The roots λ₁, λ₂........λₙ of a typical equation (aₙλₙ + aₙ₋₁ λⁿ⁻¹ + ...... a₁ λ + a₀)  will indicate the nature of the Matrix A. If either of the roots of the attributes equation is 0, the matrix's determinant becomes zero. As a result, the matrix is non-invertible.

Based on the above, we know that Matrix A fulfills the qualities below::

A²+3A + I = 0

Since every square matrix fulfills its own characteristic

λ₁ + λ₂ = -3

λ₁ x λ₂ = 1 ≠ 0

This is true for any order of a square matrix. That is:
λ₁ x λ₂ x λ₃ x........ x λₙ ≠ 0

Thus

|A| = λ₁ x λ₂ x λ₃ x........ x λₙ

|A| ≠ 0 → Invertibel Matrix

A² + 3A + I = 0
I = -A² - 3A
A⁻¹ x I = A⁻¹ (-A - 3A); hence

A⁻¹ = - A - 3I

Learn more about invertible matrixes:
https://brainly.com/question/18187793
#SPJ1

Answer:

ten thousands place

Step-by-step explanation:

10,000 × 10 = 100,000

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

Learn more on tables and values here: https://brainly.com/question/12151322

Answer:

33.51

Step-by-step explanation:

You need to use the equation \(\frac{4}{3} \pi r\)³.

Hope this helps.

Answer:10.7π

Step-by-step explanation:

radius=r=2

volume of sphere=4/3 x π x r x r x r

Volume of sphere=4/3xπx2x2x2

Volume of sphere=(4xπx2x2x2) ➗ 3

Volume of sphere=32π ➗ 3

Volume of sphere=10.7π

The equations of the three altitudes of triangle ABC include the following:

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Also, the point-slope form of a straight line is given by this equation:

y - y₁ = m(x - x₁)

Assuming the following parameters for triangle ABC:

For the equation of altitude AM, we have:

Slope of BC = (2 - 8)/(4 - 0)

Slope of BC = -6/4

Slope of BC = -3/2

Slope of AM = -1/slope of BC

Slope of AM = -1/(-3/2)

Slope of AM = 2/3.

The equation of altitude AM is given by:

y - y₁ = m(x - x₁)

y - 0 = 2/3(x - (-2))

3y = 2(x + 2)

3y = 2x + 4

3y - 2y - 4 = 0.

For the equation of altitude BN, we have:

Slope of CA = (2 - 0)/(4 - (-2))

Slope of CA = 2/6

Slope of CA = 1/3

Slope of BN = -1/slope of CA

Slope of BN = -1/(1/3)

Slope of BN = -3.

The equation of altitude BN is given by:

y - y₁ = m(x - x₁)

y - 8 = -3(x - 0)

y - 8 = -3x

y + 3x - 8 = 0.

For the equation of altitude CL, we have:

Slope of AB = (8 - 0)/(0 - (-2))

Slope of AB = 8/2

Slope of AB = 4

Slope of CL = -1/slope of AB

Slope of CL = -1/4

The equation of altitude CL is given by:

y - y₁ = m(x - x₁)

y - 2 = -1/4(x - 4)

4y - 2= -(x - 4)

4y - 2= -x + 4

4y + x - 2 - 4 = 0.

4y + x - 6 = 0.

In conclusion, we can infer and logically deduce that the equations of the three altitudes of triangle ABC include the following:

Read more on point-slope form here: brainly.com/question/24907633

#SPJ1

The volume of the solids are 240 cubic yards and 125.6 cubic cm

The complete question is added as an attachment

Solid 1

The shape is a rectangular prism.

The volume of a rectangular prism is

Volume = Length * Width * Height

So, we have

Volume = 8 yd * 5 yd * 6 yd

Evaluate

Volume = 240 cubic yards

Hence, the volume of the solid is 240 cubic yards

Solid 2

The shape is a cylinder.

The volume of a rectangular prism is

Volume = πr²h

So, we have

Volume = 3.14 * 2^2 * 10

Evaluate

Volume = 125.6 cubic cm

Hence, the volume of the solid is 125.6 cubic cm

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer:inversely proportional

Step-by-step explanation:

As the value of x increase the value of y decrease

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

The statistical analysis of the data using a two-sample t-test indicates;

(a) B. Yes, the Meters On data appears to have higher speeds

A. No, there does not appear to be any outlier

(b) H₀; \(\mu_{on}\) = \(\mu_{off}\)

H₁; \(\mu_{on}\) > \(\mu_{off}\)

The P-value for the test is about 0.037

A two-sample t-test is used to determine if there is a difference between the means of two independent groups of data.

(a) The average of the data values are;

Ramp meters on;

\(\mu_{on}\) = (29+47+55+38+32+25+42+47+51+36+55+41+43+25+47)/15 ≈ 40.87

\(\mu_{off}\) = (25+25+43+35+36+31+48+37+19+29+22+40+36+50+40)/15 ≈ 34.4

The higher average value for the speed with the Ramp meters on indicates;

B. Yes, the Meters On data appears to have higher speeds

The five number summary are;

Ramp Meters On

Min = 25, Max = 55, Q₁ = 32, Q₂ = 42, Q₃ = 47

IQR = 47 - 32 = 15

Outlier = 47 + 1.5 × 15 = 69.5

32 - 1.5 × 15 = 9.5

Therefore, there are no outliers for the Ramp Meters On

Ramp Meters Off

Min = 19, Max = 50, Q₁ = 25, Q₂ = 36, Q₃ = 40

IQR = 40 - 25 = 15

Outlier = 40 + 1.5 × 15 = 62.5

25 - 1.5 × 15 = 2.5

Therefore, there are no outliers for the Ramp Meters Off data

(b) The null hypothesis is; H₀; \(\mu_{on}\) = \(\mu_{off}\)

The alternative hypothesis is; H₁; \(\mu_{on}\) > \(\mu_{off}\)

(c) The two sample t-test, can be obtained using the formula;

\(t_{cal} = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} ) } }\)

Where; \(\bar{x}_1\) = 40.87

\(\bar{x}_2\) = 34.40

s₁ = 9.91

s₂ = 9.20

n₁ = n₂ = 15

Therefore; \(t_{cal}\) = 1.8516. The degrees of 15 + 15 - 2 = 28, and the one-tailed hypothesis, indicates, using an online tool;

The p-value is less than 0.05, therefore, the result is significant.

Learn more on two-sample t-test here: https://brainly.com/question/32024330

#SPJ1

Answer:

Let's start by finding the volume of water in the trough as a function of its depth.

At a depth of h cm, the cross-sectional area of the water is an isosceles trapezoid with bases of length b1 = 40 + (h/5) cm and b2 = 90 + (h/2) cm, and height 50 cm. The average width of the trapezoid is (b1 + b2)/2 = 65 + (3h/10) cm. Therefore, the volume of water in the trough at this depth is:

V(h) = 10 m x [(65 + (3h/10)) / 100 cm] x h cm

Simplifying this expression, we get:

V(h) = (13/2000) h^2 m^3

Now, we can use the chain rule to find the rate of change of V with respect to time t, given that dV/dt = 0.1 m^3/min:

dV/dt = (dV/dh) x (dh/dt) = (26/2000) h (dh/dt)

At the moment when the water is 10 cm deep, we have:

h = 10 cm

dV/dt = 0.1 m^3/min

Plugging in these values, we get:

0.1 m^3/min = (26/2000) x 10 cm x (dh/dt)

Solving for dh/dt, we get:

dh/dt = 0.1 m^3/min / (26/2000) / 10 cm

dh/dt ≈ 0.192 m/min

Therefore, the water level is rising at a rate of approximately 0.192 m/min when the water is 10 cm deep.

Answer:

The sale price was 54.55 but if you round it up its 55 hope i helped!

Step-by-step explanation:

Answer:

35.5

Step-by-step explanation:

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

For more such questions on investment

https://brainly.com/question/29227456

#SPJ8

Answer:

Olá!

`~~~~~~~~~~~~~~~~~~

3 (número inteiro positivo)

2 (antessor)

4 (sucessor)

Para provar isso, simplesmente multiplicamos entre 4 e 2:

4 x 2 = 8

Espero que isso tenha ajudado! Também seria bom se você me desse Brainliest!

Answer:

A

Step-by-step explanation:

The answer is addition

Because when we do the sum of the two equations the variable x disappear. And the result is

The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

For more questions on Pyramid .

https://brainly.com/question/30615121

#SPJ8

Answer:

Step-by-step explanation:

1) with the angle 120degrees, we know that external angles on a pair of parallel lines are the same. we can give this as an equation  

120 = x + 130

re arrange to make x the subject

so subtract 130 on both sides

120-130=x

-10=x

x=-10

2) Corresponding angles in between parallel lines are the same. we can write this as

15x = 75

rearrange to make x the subject

x = 75 ÷ 15

x = 5

3)Internal angles inbetween parallel lines add to 180, so we can turn this into an equation

14x - 3 = 85

14x = 88

x = 88 ÷ 14

x = 6.285714 or just 6.29