The sample space diagram below shows the outcomes of spinning a fair four-sided spinner and flipping a fair coin. Each outcome is equally likely. How many possible outcomes are there?

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

Read more on product of numbers here : https://brainly.com/question/25301924

#SPJ1

Refer to the images attached.

Question 2:

The low end cutoff is 52.

The high end cutoff is 90.

Question 3:

The low end value is 0.

The high end value is 45.5.

This dataset does have outliers.

The outlier is 95.

Question 4:

The low end is -1, the high end is 23, and there are no outliers in this dataset.

Question 2:

The low end cutoff is 52.

The high end cutoff is 90.

Question 3:

The low end value is 0.

The high end value is 45.5.

This dataset does have outliers.

The outlier is 95.

Question 4:

To check for outliers, we can use the following rule: An observation is considered an outlier if it falls below the low end or above the high end of the range defined by the following equation:

Low End = Q1 - 1.5 * IQR

High End = Q3 + 1.5 * IQR

Calculating the low end and high end using the given values:

Low End = 8 - 1.5 * 6 = -1

High End = 14 + 1.5 * 6 = 23

The outlier is NONE since there are no observations that fall below the low end or above the high end.

Therefore, the low end is -1, the high end is 23, and there are no outliers in this dataset.

For more such questions on outliers

https://brainly.com/question/24123584

#SPJ8

Answer:

MN║OP

Step-by-step explanation:

From the picture attached,

MP and OP are the two lines and OT is a transversal intersecting these lines at R and S.

Angles on the same side of transversal OT measure the same as 45°

By the converse of corresponding angles theorem,

"If the corresponding angles formed by the transversal with the lines, are equal in measure, then the lines are parallel."

Therefore, MN║OP is the answer.

The total number of different telephone numbers are possible in city  is 6561.

A term permutation relates to a mathematical process that determines the number of possible arrangements of a given set.

Now, according to the question;

Because the first three digits are fixed, we must select the next four digits.

A total number of available telephone numbers is increased by selecting one of nine numbers for the fourth digit;

nine numbers for the fifth digit;

nine numbers for the sixth digit;

and nine numbers for the seventh digit.

Thus,

= 9×9×9×9

= 6561

Therefore, the total number of ways in which telephone numbers are possible in city are 6561.

To know more about the permutation, here

https://brainly.com/question/12468032

#SPJ4

To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

Unemployment is a time period regarding people who are employable and actively looking for a process but are not able to discover a process. blanketed in this institution are the ones people in the group of workers who are working but no longer have the precise job.

The situation of now not having a task but being a member of the labor pressure. To be considered unemployed, someone must be jobless but actively trying to find a task by having searched within the last 4 weeks.

Hence, To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

Learn more about Unemployment here:

brainly.com/question/13280244

#SPJ1

complete question:

how do economists define unemployed workers? group of answer choices although currently working, they are not happy with their current job working on contract for a limited time not currently working not currently working but actively searching for work

Answer:

439.6 cm²

Step-by-step explanation:

Surface area of the cylinder is the length of the rectangular strip that goes around, and the are of the two circles

Area circle = πr²

Area circle = 3.14 * 7²

Area circle = 3.14 * 49

Area circle = 153.86

The area of both circles is 153.86 x 2 = 307.72

The rectangular strip is the diameter by the height

Diameter = 2πr

Diameter = 14*3.14 = 43.96

The strip is 43.96 x 3 = 131.88

Total surface area is 307.72 + 131.88 = 439.6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The statement "P(m, n)" means "m divides n", where the domain for both variables are positive integers (m, n > 0). This means that "n = km" for some integer k.
(a) P(4, 5): False Since 5 is not divisible by 4, the statement "P(4, 5)" is false.
(b) P(2, 4): True Since 4 is divisible by 2, the statement "P(2, 4)" is true.
(c) ∀m ∀n P(m, n): False This statement implies that every positive integer is divisible by every other positive integer, which is false.
(d) ∃n ∀m P(m, n): False This statement implies that there exists some positive integer that is divisible by all other positive integers, which is false.
(e) ∃m ∀n P(m, n): False This statement implies that there exists some positive integer that divides all other positive integers, which is false.
(f) ∀n ∃m P(m, n): True This statement implies that for any given positive integer, there exists some positive integer that it is divisible by, which is true. (using the domain and range)

Learn more about domain and positive integers here, https://brainly.com/question/27862451

#SPJ11

From given linear equations,  the height of Snowman B is 15 inches and the height of Snowman A is 12 inches

What is a linear equation ?

A linear equation is an equation in which the power of the variable is one. It takes the form:

y = mx + b

where x and y are variables, m is the slope of the line, and b is the y-intercept. The slope represents the rate of change of y with respect to x, while the y-intercept is the point where the line intersects the y-axis.

Now,

To graph the height of each snowman as a function of time, we can use the following linear equations:

A(t) = 42 - 6t

B(t) = 60 - 9t

Here, t represents the time in hours after sunrise, and A(t) and B(t) represent the heights of Snowman A and Snowman B, respectively, at time t.

To determine which snowman is taller after 5 hours, we can simply evaluate each function at t = 5 and compare the results:

A(5) = 42 - 6(5) = 12

B(5) = 60 - 9(5) = 15

Therefore, after 5 hours, Snowman B is taller than Snowman A.

To graph the functions, we can plot the height on the y-axis and the time on the x-axis. The graphs will be two straight lines with negative slopes, intersecting the y-axis at the initial heights of the snowmen:

For Snowman A:

y-intercept = 42 (initial height)

slope = -6 (decrease of 6 inches per hour)

For Snowman B:

y-intercept = 60 (initial height)

slope = -9 (decrease of 9 inches per hour)

The graph could be plotted as follows:

  |      .

  |        .

  |          .

  |            .

  |              .

  |                .

  |                  .

  |                    .

  |                      .

  |                        .

  |                          .

  |                            .

  |-------------------------------> t (hours)

  0         1         2         3         4         5

  |      .

  |        .

  |          .

  |            .

  |              .

  |                .

  |                  .

  |                    .

  |                      .

  |                        .

  |                          .

  |                            .

  |-------------------------------> t (hours)

  0         1         2         3         4         5

As we can see, after 5 hours, the height of Snowman B is 15 inches and the height of Snowman A is 12 inches.

To know more about linear equations visit the link

brainly.com/question/29739212

#SPJ1

Given:

The graph of a polynomial.

To find:

The polynomial function for the given graph.

Solution:

If the graph of function intersect the x-axis at x=c, then (x-c) is a factor of that function f(x).

From the given graph it is clear that the graph of the polynomial function intersect the x-axis at x=-1, x=2, x=3.

So, (x+1), (x-2) and (x-3) are the factors of required polynomial.

At x=2 and x=3, it look like a linear function. So, the multiplicity of (x-2) and (x-3) are 1.

At x=-1, it look like a cubic function. So, the multiplicity of (x+1) is 3.

The required polynomial is

\(f(x)=a(x+1)^3(x-2)(x-3)\)          ...(i)

The function passes through the point (1,10). Putting x=1 and f(x)=10, we get

\(10=a(1+1)^3(1-2)(1-3)\)

\(10=a(2)^3(-1)(-2)\)

\(10=16a\)

\(\dfrac{10}{16}=a\)

\(0.625=a\)

Putting a=0.625 in (i), we get

\(f(x)=0.625(x+1)^3(x-2)(x-3)\)

\(f(x)=0.625(x+1)(x+1)(x+1)(x-2)(x-3)\)

Therefore, the required polynomial function is \(f(x)=0.625(x+1)^3(x-2)(x-3)\)  or it can be written as\(f(x)=0.625(x+1)(x+1)(x+1)(x-2)(x-3)\).

Answer:

See Below

Step-by-step explanation:

Ok, this is just like the systems of equations.

x-7 = 5x-31

Solve

x-7 = 5x-31

-x     -x

-7 = 4x -31

+31       +31

24 = 4x

24/ 4   = 4x/ 4

x=6

Hope this helps!=)

Answer:

work is pictured and shown

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

for more questions on porosity

https://brainly.com/question/3107253

#SPJ11

Answer:

6 x(6x)+6x*-1+1(6x)+1*-1  SIMPLIFIED: 36x^2-1

Step-by-step explanation:

Use foil and distributive property

The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

Learn more about volume on:

https://brainly.com/question/28790396

#SPJ1

Answer:

A

Step-by-step explanation:

By adding both the x and y coordinates individually and dividing them by two u get the mid point

Answer:

3/4     15    3

Step-by-step explanation:

To convert 0.75 to a fraction:

Divide it by 1:    \(\frac{0.75}{1}\)

Multiply both the top and bottom by 100:  \(\frac{0.75}{1}\times\frac{100}{100}=\frac{75}{100}\) (this is called a decimal fraction)

Simplify the fraction by dividing both the top and bottom by 25:

\(\frac{75\div 25}{100\div25}=\frac{3}{4}\) (this is called a common fraction)

1 cent = 0.01 = 1/100 = 1 hundredth

1 nickel is worth 5 cents = 0.05 = 5/100 = 5 hundredths

1 quarter is worth 25 cents = 0.25 = 25/100 = 25 hundredths

Therefore, to calculate how many nickels represent 0.75 (75 hundredths) divide 75 by 5:

75 ÷ 5 = 15

To calculate how many quarters represent 0.75 (75 hundredths) divide 75 by 25:

75 ÷ 25 = 3

The percentage of ball that hit into the outfield would be represented by the equation = 15/8 = X/100. That is A.

The total number of balls that that where present at the battling practice by Alexis = 15.

The number of balls that hit into the outfield = 8

The number of balls that hit outside the outfield = 15-8= 7

The percentage (x) of the balls that are outside the outfield;

X = 8/15 × 100/1

x ×15 = 8 × 100

15/8 = X/100.

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

The frequency with the largest amplitude is `w ≈ 2.303` (rtol=0.01, atol=1e-08).

The question asks us to find the frequency w for which the particular solution to the differential equation \(dạy dy 2- + dt2 + 2y = eiwt dt\)has the largest amplitude.

We can assume a positive frequency w > 0.

Let's find out how to solve this problem:

We need to find the particular solution in the form Aeiwt, and then minimize the modulus of the denominator of A over all frequencies w. It means the denominator of A will have a maximum amplitude if we minimize the modulus. The amplitude of the solution is given by the value of |A|.

Let us assume the particular solution to be `\(y = Aeiwt`.\)

Substitute the above solution in the given differential equation.

Then, we get:\(`d^2(A e^(iwt))/dt^2 + 2(A e^(iwt)) = e^(iwt)`\)Applying the differential operator on the above equation,

we get: \(`(iwt)^2 A e^(iwt) + 2A e^(iwt) = e^(iwt)`Therefore, `A = 1 / (1 - (w^2) + 2i)`.\)

Thus, the amplitude of the particular solution is:

\(`|A| = 1 / sqrt((1 - w^2)^2 + 4w^2)`\)

Now, we need to minimize the above expression to get the frequency w at which the amplitude of the particular solution is maximum. This can be done by minimizing the modulus of the denominator of A over all frequencies w.To minimize the above expression, we take the derivative of the expression with respect to w and equate it to zero, which gives us: \(`(8w^2) / ((w^2 - 1)^2 + 4w^2)^(3/2) - (2(w^2 - 1)) / ((w^2 - 1)^2 + 4w^2)^(3/2) = 0`\)

Simplifying the above expression, we get: `

\(2w^2 = w^4 - 3w^2 + 1`\)

Therefore, \(`w^4 - 5w^2 + 1 = 0`.\)

Solving the above equation gives us:

`\(w^2 = (5 ± sqrt(21)) / 2`\).Since we know that w > 0, we choose the positive value of w.

Thus, the value of w is: \(`w = sqrt((5 + sqrt(21)) / 2)` or `w ≈ 2.303\)`.

for such more question on frequency

https://brainly.com/question/26146342

#SPJ11

The only two options with equations that are true for x = –2 and x = 2 are;

Option A: x² - 4 = 0

Option D: 4x² = 16

The domain of a function is the set of all input values  for which the function is possible.

Now, we are given the domain values as  x = –2 and x = 2.

a) x² - 4

f(-2) = (-2)² - 4

= 0

f(2) = (2)² - 2

= 0

b) x² = -4

f(-2) = (-2)²

= 4

f(2) = (2)²

= 4

c) 3x² + 12

f(-2) = 3(-2)²  + 12

= 24

f(-2) = 3(2)²  + 12

= 24

d) 4x²

f(-2) = 4(-2)²

= 16

f(2) = 4(2)²

= 16

e) 2(x - 2)²

f(-2) = 2(-2 - 2)²

= 32

f(2) = 2(2 - 2)²

= 0

Read more about domain values at; https://brainly.com/question/2264373

#SPJ1

Answer: 2(x-5)

Step-by-step explanation:

Let's start with the given equation

2x-5

Now let's divide 2 out of the 2x and -10

2(x-5)

Given :

Initial concentration , 240 ppm .

Final concentration , 360 ppm .

To Find :

Percent increase.

Solution :

Percentage increase is given by :

\(=\dfrac{Final-Initial}{Initial}\times 100\\\\=\dfrac{360-240}{240}\times 100\\\\=50\%\)

Therefore , percent increase is 50 % .

Hence , this is the required solution .

Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.

The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square

The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.

To know more about square visit:

https://brainly.com/question/14198272

#SPJ11

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

B is the answer

Step-by-step explanation:

Answer:

21/2

Step-by-step explanation:

10.5 is correct, but that's a decimal

21/2=10.5

Answer:

21/2

Step-by-step explanation:

10*2 = 20

then 20 + 1 = 21

to get your answer which is 21/2

PLEASE RATE!! I hope this helps!!

If you have any questions let me know