is 5 a rational or irrational​

Answer:

1/10

Step-by-step explanation:

7 is one number in a 10 sided die

The probability that the mean contents of the 1024 sample cans is less than 11.994 ounces, is 0.055.

In the given question, a random sample of 1024 12-ounce cans of fruit nectar is drawn from among all cans produced in a run.

Prior experience has shown that the distribution of the contents has a mean of 12 ounces and a standard deviation of 0.12 ounce.

We have to find the probability that the mean contents of the 1024 sample cans is less than 11.994 ounces.

Given that,

Mean(μ) = 12

Standard Deviation(σ) = 0.12

n = 1024

So, μ = 12

σ/√n = 0.12/1024 = 0.00375

P( x<11.994) = P[(x-μ)/(σ/√n) < (11.994-12)/0.00375]

P( x<11.994) = P(z < -1.6)

(using z table)

P( x<11.994) = 0.055

Probability = 0.055

To learn more about probability link is here

brainly.com/question/16484393

#SPJ4

Answer:

3 and 7 of what?

Step-by-step explanation:

Answer:

Triangular prism

Step-by-step explanation:

Answer: Shape

Step-by-step explanation: Aww don't worry I got you here's the answer Triangular prism.

The variance of the sample is 6561. The variance measures the spread or dispersion of the data points around the mean. In this case, it represents the average squared deviation from the mean of the 36 observations.

The variance of a sample can be calculated using the formula:

Variance = Standard Deviation^2

Given that the standard deviation of a sample of 36 observations is 81, we can square this value to find the variance.

Variance = 81^2 = 6561

Therefore, the variance of the sample is 6561. The variance measures the spread or dispersion of the data points around the mean. In this case, it represents the average squared deviation from the mean of the 36 observations.

To learn more about  variance click here:

brainly.com/question/2804492

#SPJ11

Therefore, the values of x and y that complete the proportion xa = ay are:

y = a²/[a² - 16²/a²]

Let H be the foot of the perpendicular from the right angle to the hypotenuse, and let X be the point where the height meets the hypotenuse.

We have the following relationships:

By the Pythagorean theorem, we have AH² + XH² = a².

By similar triangles, we have AX/HX = a/16, which implies AX = aH/4.

By the Pythagorean theorem again, we have XH² + 16² = 18², which implies XH = 2√17.

By similar triangles again, we have HX/HY = XA/AY, which implies HX/(a-XA) = XA/AY, which simplifies to HX/AX = (a-XA)/AY, which implies AY = AX(a-XA)/HX.

Now we can substitute the expressions for AX, XH, and AY in terms of a and XA into the equation xa = ay and solve for XA:

x(a - XA)/HX = xa

xa - xXA = xaHX/a

XA = (a²HX - x²HX)/a²

XA = HX(a² - x²)/a²

XA = 2√17(a² - x²)/a²

Therefore, the values of x and y that complete the proportion xa = ay are:

x = aH/4

y = a²HX/AY

y = a²HXa/[HX(a² - x²)]

y = a²/[a² - 16²/a²]

Learn more about Pythagorean theorem here:

brainly.com/question/14930619

#SPJ1

Answer:

for number 1: y = 4

for number 2: k = -8

for number 3: d = 21

Step-by-step explanation:

Step-by-step explanation:

1. 7y=28

7÷7y=28÷7

y=4

2.-4k=40-8

-4k÷-4=32÷-4

k= -8

3. 47+5=2d

42=2d

42÷2=2d÷2

21=d

Answer:

44 minutes

Step-by-step explanation:

8/2 is 4, multiply 11 by 4, 44 is your answer

Answer:

44 Minutes

Step-by-step explanation:

if you multiply the amount of time, 11 minutes, by 4, because 8 / 2 is 4, you'll get 44 minutes

The figure's area is calculated by subtracting the entire rectangle from the empty rectangle.

The area of a rectangle in a two-dimensional plane is the space that it occupies. A rectangle is a quadrilateral, a kind of two-dimensional object with four sides and four vertices. The rectangle's four sides are all right angles or exactly 90 degrees. The rectangle's opposing edges are equal and parallel to one another. It should be observed that a parallelogram also has equal and parallel opposite sides, but the angles are not exactly 90 degrees.

The following is the solution for the figure's area:

9 (x+3) - 6x.

The entire figure's area has been described as 9 (x+3).

where 9 is the length of the rectangle and (x+3) = (x+1.5+1.5) is the width of the rectangle.

Currently, the empty space between has been assigned the value 6x.

where the rectangle's edges are 6 and x.

Therefore, the size of the figure is the entire rectangle less the empty rectangle.

To know more about rectangle, visit:

https://brainly.com/question/25292087

#SPJ1

The complete question is:

Look at the figure at the right. Explain one thing that representing the area of the figure as 9(X+3)-6x tells you about the situation. Then write an equivalent expression for the area. Explain what information is in your expression that is not in 9(x+3)-6x.

Answer:

12

Step-by-step explanation:

We just need to divide the number of laps to the number of swimmers to find the unit rate.

240 / 20 = 12

216 / 18 = 12

168 / 14 = 12

108 / 9 = 12

Best of Luck!

Answer: 12

Step-by-step explanation:

Sorry I don't like to show my work.

Answer:

17%

Step-by-step explanation:

As you may see, the area is 100, so as much there is colored in squares, that will be the percentage, so if you count them, you will see that there are 17, and that will be your answer.

Tell me if I'm wrong :)

Answer:

17%

Step-by-step explanation:

The exercise has to do with the Graphing of a Cosecant Function. From the graph, the completed statements have been indicated below.

The completed statements are:

It is to be noted that the graph is of the function 2Sec (3x) – 1.

Learn more about Graphing of a Cosecant Function at:

https://brainly.com/question/22581441

#SPJ1

Answer:

2pi/3

corresponding cosine function is 2.

1 unit down.

graph 2sec(3x) – 1

Step-by-step explanation:

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

The value of v is 13 degrees.

Supplementary angles are a set of given measure of angles which add up to 180 degrees. Thus producing a measure of the sum of angles on a straight line.

To determine the value of v in the given diagram, we have;

60 + (9v + 3) = 180       (sum of angles on a straight line)

So that;

9v + 3 = 1890 - 60

9v + 3 = 120

9v = 120 - 3

    = 117

v = 117/ 9

  = 13

v = 13^o

The value of v in the question is 13 degrees.

Learn more about supplementary angles at https://brainly.com/question/404323

#SPJ1

Answer: 35x^4 - 21x^3

Step-by-step explanation:

The GCF is the smallest shared prime factor for each term.

The LCM is the smallest whole number that both numbers share as multiples.

For example, take #16.

Factors of 25: 1 , 5, 25

Factors of 75: 1 , 3, 5, 15, 25 ,75

The GCF that is shared would then be 25.

The smallest multiple that both share as multiples:

Multiples of 25: 25, 50, 75, etc.

Multiples of 75: 75, etc.

The LCM that is shared would then be 75.

16) 25 and 75

GCF: 25

LCM: 75

17) 35 and 5

GCF: 5

LCM: 35

18) 27 and 36

GCF: 9

LCM: 108

19) 21 and 56

GCF: 7

LCM: 168

20) 54 and 72

GCF: 18

LCM: 216

This scene is an example of dramatic irony used to create suspense since the audience knows that this joyous occasion will ultimately lead to tragedy.

In the scene, Lord Capulet is preparing for his daughter Juliet's wedding to Paris, while the audience knows that Juliet is already secretly married to Romeo. Lord Capulet's excitement and eagerness to prepare for the wedding create suspense and tension for the audience, who knows that this joyous occasion will ultimately lead to tragedy.

Furthermore, the use of music within the scene also adds to the suspense. The audience hears the music, which signifies the arrival of the wedding party, but also knows that this will lead to the revelation of Juliet's secret marriage.

The urgency in Lord Capulet's instructions to the Nurse to wake up Juliet and make haste heightens the tension for the audience, who are aware of the impending disaster.

To know more about dramatic irony here

https://brainly.com/question/29797222

#SPJ4

Complete Question:

Read the excerpt from Act IV, scene iii of Romeo and Juliet.

Capulet Good faith! this day:

The county will be here with music straight,

For so he said he would. [Music within.] I hear him near.

35

This scene is an example of dramatic irony used to create suspense since the audience knows that

The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

1. dx/dt = 2x - y

2. dy/dt = x

Substituting y = -dx/dt into the second equation,

dy/dt = x - t

-d²x/dt² = x - t

Now, assume a particular solution of the form x = At + B,

where A and B are constants.

Substituting this into the differential equation,

-A = At + B - t.

Equating the coefficients of t on both sides,

A = -1 and B = 0.

Thus, the particular solution is x = -t.

Now, integrating dx/dt = -yt,

x = -yt + C₁

Finally, substituting x into the particular solution x = -t,

-t = -yt + C₁.

Solving for y, obtain y = t²/2 + C₁t + C₂.

Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

Learn more about systematic elimination here:

brainly.com/question/29847467

#SPJ4

The largest number which certain to divide P is 12. The correct option is B.

The product of all six numbers of the six-sided die is 6! = 720.

The products of numbers which can be visible are:

720 / 1, 720 / 2, …, 720 / 6.

In this case, the answer is the largest common divisor, that is:

720 / L

where L = the least common multiple of {1,2,3,4,5,6}.

So, it is clear that L = 60.

Thus, the answer is:

= 720 / L

= 720 / 6

= 12

Hence, the largest number which certain to divide P is 12, it is option B.

A Googolplex is studied to be the largest number in the world. It is stated as 10^googol. The number 10^googol can also be written in the exponential format which will equal 10^10^100. When writing the number googol in normal number writing format, the probability of losing count is very high. Thus, it is more convenient to write it in the form of exponent and powers.

The number googolplex is so extremely large which is unimaginable to be expressed in number writing format. Hence, the number remains a concept as it is of no use in mathematics for basic calculations.

Learn more largest number division at: https://brainly.com/question/26377678

#SPJ4

Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

The focal length of the lens is 20 cm. The image should be at 60 cm from the lens.

Given a plant placed 6 squares distant from a convex lens. Since the refracted rays are converging the given lens is a convex lens.

Here each square is 5 cm along the horizontal direction.

The ray from the top of the plant pass through the lens and cross the principal axis at a distance 4 squares from the lens.

Hence the focal length of the lens, f = 4 x 5 = 20 cm.

We have the lens formula for convex lens.

i.e., 1/f=1/v+1/u ,

where v is the distance of real image from the center of the lens, u is the distance of the object from the center of the lens and f the focal length of the lens.

Here, u = 6 x 5 = 30 cm

So in order to find where the real image is produced,

we have 1/v = 1/f - 1/u

Therefore, v = uf /u-f = 30 x 20 / 30-20 = 60 cm.

Thus the real image is formed at a distance of 60 cm from the center of the lens.

Your question was incomplete. Please check below the full content.

Figure 1 shows a small plant near a thin lens. The ray shown is one of the principal rays for the lens. Each square is 5.0 cm along the horizontal direction, but the vertical direction is not to the same scale. Use Information from the diagram to answer the following questions. What is the focal length of the lens? Calculate where the image should be.

Find more about the lens formula at https://brainly.com/question/2098689

#SPJ4

When Solver is unable to find a solution to a problem, it can be an indication of various issues. One possible cause is that the problem may be too complex for Solver to solve within the given constraints.

In such cases, it may be necessary to adjust the problem parameters or seek alternative solutions. Another possible cause of Solver's inability to find a solution could be due to incorrect input data. This can lead to inconsistent or contradictory constraints, making it impossible for Solver to arrive at a feasible solution. Lastly, Solver may fail to find a solution due to numerical errors or limitations in the algorithm used. These issues can arise when dealing with large datasets or highly non-linear problems. In any case, when Solver is unable to find a solution, it is important to carefully examine the problem and its parameters, and consider alternative approaches. Sometimes, a small adjustment to the input data or constraints can make all the difference in arriving at a successful solution.  In such cases, Solver may struggle to find an accurate or optimal solution. Ill-conditioned problems typically involve numerical instability or poor scaling, while infeasible problems occur when the given constraints cannot be satisfied simultaneously. It is crucial to analyze and refine the problem to enable Solver to find a viable solution effectively. When there is a problem with Solver being unable to find a solution, it often indicates the presence of a(n) ill-conditioned or infeasible problem.

Learn more about constraints here

https://brainly.com/question/30591474

#SPJ11

Answer:

b.

\( {4}^{15} \times {5}^{10} \)

Step-by-step explanation:

In the given expression u can bring the 5^-2 in the neumerator making it 5^2.

Then multiply both powers by 5.

Explained the quotient property "one of the properties of logarithms, the division becomes subtraction" has been explained with an example

In one of the properties of logarithms, the division becomes subtraction. That is the quotient property of the logarithm

Consider the two positive numbers x and y and a ≠ 0

Then,

\(log_a\) (m /n) = \(log_a\) m -  \(log_a\) n

Here division became the subtraction

For example

To find the value of  \(log_2\) (15/ 7) we will use the quotient property of logarithm, here the division of the numbers will be subtraction

\(log_2\) (15 / 7) =  \(log_2\) 15 -  \(log_2\) 7

Therefore, the quotient property of the logarithm has been explained with example

Learn more about quotient property here

brainly.com/question/12474357

#SPJ4

Answer:

D

Step-by-step explanation:

The black dot means "included"; the white dot means "excluded".

D is the right answer, as it describes X is equal or greater than -3 and lower than 1

Answer:

Im thinking the answer is 90.

Step-by-step explanation:

There are 360 and that is a small section for 120 or 180 people to all take a break at.

-Hope this helps!

-Justin

Answer:

1, 6, 11, and 16 in that order

Step-by-step explanation:

every time the x value increases by 1, the f(x) value increased by 5

The correct option is D

(x + 2) is a binomial expression.

A binomial expression is an expression that contains two terms (from the word "bi") and are connected by either addition or subtraction.

From the options, the binomial expression is: x + 2

Answer:

\(3\frac{1}{3}\)

Step-by-step explanation:

Dividing fractions is like multiplying the reciprocal of the second number

For example: \(\frac{36}{3}\) divided by \(\frac{24}{6}\)

Multiply the reciprocal, which is 6/24

\(\frac{36}{3} * \frac{6}{24} ,\) Find divisible diagonal factors. Divide by 3 diagonally and divide by 12 diagonally

\(\frac{3}{1} * \frac{2}{2} = 3\)

You can check by making 36/3 to 12 and 24/6 to 4.

12/4 = 3

In the same way:

\(\frac{4}{3} /\frac{2}{5} = \frac{4}{3} * \frac{5}{2} =\)

Divide by 2 diagonally

\(\frac{2}{3} * \frac{5}{1} =\frac{10}{3} = 3\frac{1}{3}\)

The answer is \(3\frac{1}{3}\)

Hope this helps :)

Have a nice day!