A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. If this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up?

A. 0. 0150

B. 0. 1785

C. 0. 8215

D. 0. 9850

Answer:

y =x+3

y =-x²+[?]

Find the gradient;

What is the formula for the gradient of a graph?

Finding the gradient of a straight-line graph

X2 = 2

Y2 = 7

ΔX = 4

ΔY = 3

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

OR

X2 = -6

Y2 = 1

ΔX = -4

ΔY = -3

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

Answer:

7

Step-by-step explanation:

Let's simplify step-by-step.

−2c+7+2c

Combine Like Terms:

=−2c+7+2c

=(−2c+2c)+(7)

=7

Answer:

6 + 2m

Step-by-step explanation:

You need to use the distributive property - multiply the outside number by each inside value or variable

So: 2 times 3 = 6 and 2 times m = 2m

Put it all back together: 6 + 2m

Answer:

6m

Step-by-step explanation:

y = (-11/55)x + 11  is the linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb.

To write a linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb, we need to use the slope-intercept form of a linear equation: y = mx + b.

We know that the ramp is 11 inches off the ground at the curb, which means that the y-intercept (where the ramp meets the curb) is 11 inches:

y = mx + 11

To find the slope (m), we need to use the information that the other end of the ramp rests on the street 55 inches from the curb. We can use the formula for slope:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) are the coordinates of the curb (0, 11) and (x2, y2) are the coordinates of the other end of the ramp (55, 0).

m = (0 - 11) / (55 - 0) = -11/55

Now we can substitute the slope and the y-intercept into the equation:

y = (-11/55)x + 11

To learn more about linear equation, refer here:

https://brainly.com/question/29739212#

#SPJ11

Answer:

None. \(24+25+26\) is the only valid answer

Step-by-step explanation:

We can create an expression for the sum of 3 consecutive numbers.

\(S=x+(x+1)+(x+2)\)

Which we can simplify to

\(S=x+x+1+x+2\)

\(S=3x+3\)

In this example we are given a sum of 75.

\(75=3x+3\)

Lets solve for \(x\).

Subtract 3 from both sides.

\(72=3x\)

Divide both sides by 3.

\(24=x\)

To find out what the 3 numbers are we can plug in 24 for x

\(x+(x+1)+(x+2)\)

\(24+(24+1)+(24+2)\)

\(24+25+26\)

Answer:

  4 other ways (5 ways, total).

Step-by-step explanation:

You want to know how many other ways 75 can be written as the sum of consecutive whole numbers other than 24+25+26.

If 75 is written as the sum of an odd number of integers, the middle integer of the set will be 75 divided by the number of integers. The divisors of 75 are {1, 3, 5, 15, 25, 75}. If the numbers in the sum are non-negative, the number of integers involved cannot be more than √(2·75) ≈ 12. Then allowed odd numbers of integers in the sum are 3 and 5.

If 75 is written as the sum of an even number of integers, the quotient when 75 is divided by the number of integers must be 1/2 more than a whole number. Such integer divisors are 2, 6, and 10.

  37 + 38 = 75 . . . . 2 integers

  24 + 25 + 26 = 75 . . . . 3 integers (the given sum)

  13 + 14 + 15 + 16 + 17 = 75 . . . . 5 integers

  10 + 11 + 12 + 13 + 14 + 15 = 75 . . . . 6 integers

  3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 75 . . . . 10 integers

There are 4 other ways to use consecutive non-negative integers to make a sum of 75.

Scheduling the processor in the order in which they are requested is "first-come, first-served scheduling."

The scheduling algorithm that schedules the processor in the order in which they are requested is known as First-Come, First-Served (FCFS) scheduling. In FCFS scheduling, the processes are executed based on the order in which they arrive in the ready queue. The first process that arrives is the first one to be executed, and subsequent processes are executed in the order of their arrival.

FCFS scheduling is simple and easy to understand, as it follows a straightforward approach of serving processes based on their arrival time. However, it has some drawbacks. One major drawback is that it doesn't consider the burst time or execution time of processes. If a long process arrives first, it can block the execution of subsequent shorter processes, leading to increased waiting time for those processes.

Another disadvantage of FCFS scheduling is that it may result in poor average turnaround time, especially if there are large variations in the execution times of different processes. If a long process arrives first, it can cause other shorter processes to wait for an extended period, increasing their turnaround time.

Overall, FCFS scheduling is a simple and fair scheduling algorithm that serves processes in the order of their arrival. However, it may not be the most efficient in terms of turnaround time and resource utilization, especially when there is a mix of short and long processes. Other scheduling algorithms like Round Robin, Last In First Scheduling, or Shortest Job First can provide better performance depending on the specific requirements and characteristics of the processes.

To learn more about Scheduling here:

https://brainly.com/question/32904420

#SPJ4

Given that you are in the 88th percentile for GPA, there are 72 students that have a GPA greater than or equal to yours.

Percentile refers to the measure used to indicate the value below which a certain percentage of data lies.

If a data is said to be in the nth percentile, this means that n% of the data in the distribution are equal to or lower than that data.

If you are in the 88th percentile, then 88% of all the 600 students have a GPA equal or lower than yours.

88% of 600 = 0.88(600) = 528

students that have a GPA greater than or equal to yours = 600 - 528

students that have a GPA greater than or equal to yours = 72

Learn more about percentile here: https://brainly.com/question/9295706

#SPJ4

the value of p and d are P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]] and

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]  To diagonalize a matrix A, initially the value of  eigenvalues and eigenvectors to be find. The eigenvalues of the matrix are λ = -3 and 12.

The eigenvectors for λ = -3 are obtained by the solutions to the equation given as:

(A - λI)v = 0 then,

(A + 3I)v = 0

hence

| 2 5 5 | |v1| | 0|

| 5 2 5 | . |v2| = | 0|

| 5 5 2 | |v3| | 0|

hence The solution obtained by the  equation is given by:

v1 = -v2 + v3

The eigenvectors for λ = 12 are obtained by the solutions to the equation:

(A - λI)v = 0

Which is:

(A - 12I)v = 0

Which is:

| -10 -5 -5 | |v1| | 0|

| -5 -10 -5 | . |v2| = | 0|

| -5 -5 -10 | |v3| | 0|

hence The solution obtained is :

v1 = v2 = v3

So the eigenvectors are:

v1 = [-1, 1, 1] for λ = -3

v2 = v3 = [1, 1, 1] for λ = 12

The matrix P is the matrix whose columns are of  the eigenvectors of A:

P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]]

The matrix D is the diagonal matrix whose diagonal elements are of the eigenvalues of A:

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]

therefore , A can be diagonalized as A = PDP^-1

To know more about eigenvalues , click here:

brainly.com/question/29579848

#SJ4

Answer:

14>10   11<13

Step-by-step explanation:

Answer:

140 degrees

Step-by-step explanation:

first start by making the given angles equal each other because they are congruent.

2x+28=6x+4

Subtract 4 on both sides

2x+24=6x

subtract 2x on both sides

24=4x

divide both sides by 4 to get x

24/4=4x/4

6=x

next to find the actual number of the angle, plug 6 back into either one of the equations. Im gonna use the first one.

2x + 28

2(6) + 28

12+28= 40

Now that we have the number, we already know that a full circle is 360 degrees so half a circle is 180.

Take 40 and subtract from 180

180-40= 140

Well, m∠1 and m∠3 are congruent by the Vertical Angle Congruent Theorem (VACT). This means that because the angles are opposite of each other, their angles are the same because they are formed by the same two intersecting lines.

Because of this, we can set m∠1 and m∠3 equal to each other:

m∠1 = m∠3

(2x + 28) = (6x + 4)

2x + 28 = 6x + 4

-4x + 28 = 4

-4x = -24

-x = -6

x = 6

Knowing that x equals 6, we can use this to find m∠2. By the Supplementary Angles Theorem (SAT), angles that are on the same line add up to equal 180°. To use the SAT, we need to plug x in to find m∠1 or m∠3, because they are both the same:

x = 6

m∠1 = (2x + 28)

m∠1 = 2(6) + 28

m∠1 = 12 + 28

m∠1 = 40°

m∠3 also equals 40°.

Now that we have the value for ∠1 (or ∠3), we can use the SAT:

m∠2 + m∠3 = 180 ← You could also use m∠1, because they both equal the same!

m∠2 + 40 = 180

m∠2 = 140°

So, the measure of ∠2 is 140°.

If you have any questions, feel free to ask! :)

Answer:

32,41,51,62,74,87,101

Answer:

blank 1: divisibility rules

blank 2: its last digit is 0 or 5

Answer:

a 2:10    1:5

8 4:6    2:3

b3:18    1:6

h 9:15    3:5

C5:25    1:5

i 10:35    2:7

d 30:5    6:1

1 75:10    15:2

e 36:12    3:1

k 72:20    18:5

f 180:20    9:1

1 140:112   5:4

Step-by-step explanation:

Divide each side of the colon by the same number until you cannot divide any more.

A term that describes a numerical value measuring the likelihood of an uncertain event is - a probability.

A probability is a numerical value that measures the likelihood of an uncertain event occurring.

It ranges from 0 (impossible event) to 1 (certain event), with values in between representing the varying degrees of likelihood.

To calculate the probability of an event, you can divide the number of favorable outcomes by the total number of possible outcomes in a given scenario.

To know more about probability refer here :

https://brainly.com/question/11234923#

#SPJ11

Answer:

x = (ac)/b

Step-by-step explanation:

Step 1: Multiply both sides by a.

Step 2: Divide both sides by b/

Therefore, the answer is x = (ac)/b.

(a)  the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

(a) To change from rectangular to cylindrical coordinates, we use the formulas:

r = sqrt(x^2 + y^2)
θ = atan2(y, x)
z = z

Using these formulas with the point (-1, 1, 1), we get:

r = sqrt((-1)^2 + 1^2) = sqrt(2)
θ = atan2(1, -1) = 3π/4 (since the point is in the second quadrant)
z = 1

So the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) Using the same formulas with the point (-6, 6sqrt(3), 4), we get:

r = sqrt((-6)^2 + (6sqrt(3))^2) = 12
θ = atan2(6sqrt(3), -6) = 5π/6 (since the point is in the third quadrant)
z = 4

So the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

Know more about the cylindrical coordinates

https://brainly.com/question/31500653

#SPJ11

Answer:

6720

Step-by-step explanation:

\((8)(7)(6)(5)(4) \\ \\ =(56)(30)(4) \\ \\ =56(120) \\ \\ =6720\)

We can use the slope-intercept formula, y = mx + b, when you know the slope of the line to be studied and the given point is also the y-intercept (0, b).

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).

The y value of the y-intercept point is denoted by the symbol b in the formula.

We can use the details provided by that form to graph a linear equation in slope-intercept form.

For instance, y=2x+3 indicates that the line's slope is 2 and that its y-intercept is at (0,3).

This shows us where the line passes through and in which direction we should draw the full line after that.

So, we have the equation:

y = -4/9x+3

Graph as it is as follows:

(Refer to the graph given below)

Therefore, we can use the slope-intercept formula, y = mx + b, when you know the slope of the line to be studied and the given point is also the y-intercept (0, b).

Know more about the slope-intercept form here:

https://brainly.com/question/1884491

#SPJ1

Answer:

$84

Step-by-step explanation:

This is a super simple question. All you have to know is how much money will be charged a month, and how many months there are in a year. Just simply multiply 7 by 12 as the streaming service is charging 7 dollars a month and there are 12 months in a year. After you multiply the two numbers, you should end up with 84 dollars charged after 1 year.

The vorticity of the flow field is zero everywhere. This means that the flow is irrotational.

The vorticity of a flow field is given by the curl of the velocity vector. Therefore, we can calculate the vorticity of the given flow field as follows:

v = -xy^3 y^4

Let's first express the velocity vector in terms of its component functions:

vx = -xy^7

vy = 0

vz = 0

Now, let's calculate the curl of the velocity vector:

curl(v) = (d(vz)/dy - d(vy)/dz)i + (d(vx)/dz - d(vz)/dx)j + (d(vy)/dx - d(vx)/dy)k

Since vz and vy are both zero, we can simplify this expression to:

curl(v) = (d(vx)/dz)j + (d(vy)/dx)k

Taking partial derivatives, we get:

(d(vx)/dz) = 0

(d(vy)/dx) = 0

Therefore, the vorticity of the flow field is zero everywhere. This means that the flow is irrotational.

In summary, the expression for the vorticity of the flow field described by v=-xy^3 y^4 is zero everywhere, indicating that the flow is irrotational.

To know more about vorticity refer here:

https://brainly.com/question/13091124#

#SPJ11

Answer:

0.342

Step-by-step explanation:

round to the given amount of significant figures

The center of the circle is (3, -2) and the radius is 5.

To find the center and radius of the circle represented by the equation x^2 - 6x + y^2 + 4y = 12, we first need to rewrite it in standard form by completing the square for both x and y terms:

x^2 - 6x + y^2 + 4y = 12

(x^2 - 6x + 9) + (y^2 + 4y + 4) = 25

(x - 3)^2 + (y + 2)^2 = 5^2

Now we can see that the equation is in the standard form of a circle with center (3, -2) and radius 5. Therefore, the center of the circle is (3, -2) and the radius is 5.

Learn more about circle here

https://brainly.com/question/28162977

#SPJ11

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find the x-intercept ;

Just need to put 0((zero)) instead of y in the equation.

Let's do it....

3x - 7y = 21

3x - 7(0) = 21

3x - 0 = 21

3x = 21

Divided sides by 3

3 / 3 × x = 21 / 3

x = 7

Thus the x-intercept is 7 .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find the y-intercept ;

Just need to put 0((zero)) instead of x in the equation.

Let's do it....

3x - 7y = 21

3(0) - 7y = 21

0 - 7y = 21

-7y = 21

Divided sides by -7

-7 / -7 × y = 21 / -7

y = - 3

Thus the y-intercept is -3.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

\((11 \times 16 \times 15)ft = {2640}^{3} ft\)

Answer:

42ft

Step-by-step explanation:

if it was right mark me as brainliest

Answer: 3

Step-by-step explanation:

The missing number in the simplified ratio ?/4 is 3.

Here, we have to find the missing number in the simplified ratio ?/4, we need to determine the ratio of girls to boys in Mr. Stevenson's class.

Given that there are 6 girls and 8 boys in the class, the ratio of girls to boys can be expressed as:

Number of girls : Number of boys = 6 : 8

To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD).

In this case, the GCD of 6 and 8 is 2.

Dividing both 6 and 8 by 2, we get:

Number of girls : Number of boys = 6/2 : 8/2 = 3 : 4

So, the simplified ratio of girls to boys is 3/4.

Therefore, the missing number in the simplified ratio ?/4 is 3.

To learn more on ratio click:

brainly.com/question/13419413

#SPJ3

The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

To learn more about null hypothesis click here https://brainly.com/question/4436370

#SPJ4

Answer:

Both have the same period which is 2π

Step-by-step explanation:

Answer:

11/500

Step-by-step explanation:

calculator bro