A 6-sided number cube is rolled twice. what is the probability of getting a 3 on the first roll and a 4 on the second roll?

The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

For more information on array visit: brainly.com/question/30891254

#SPJ11

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

Read more about summation notation at

brainly.com/question/15973233

#SPJ1

Using the combination, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.

In the given question,

We have to find how many 7 digit phone numbers are there in which the digits are non-increasing and that is, every digit is less than or equal to the previous one.

We have to write 7 digit phone number.

Let the 7 digit are

A, B, C, D, E, F, G

Every digit is less than or equal to the previous one.

A ≥ B ≥ C ≥ D ≥ E ≥ F ≥ G

The sum of these number is 7.

So |A| + |B| + |C| + |D| + |E| + |F| + |G| = 10

We always have precisely one non-increasing digit for any given set of seven digits. Therefore, the solution to our problem is to make it simpler to calculate the total number of combinations where 7 digits must be chosen from a set of 7 digits where each digit is repeatable.

So the solution should be

= \(^{7+7-1}C_{7}\)

= \(^{13}C_{7}\)

We know that \(^nC_{r}=\frac{n!}{r!(n-r)!}\)

= \(\frac{13!}{7!(13-7)!}\)

= \(\frac{13!}{7!6!}\)

Simplifying

= \(\frac{13\times12\times11\times10\times9\times8\times7!}{7!\times6\times5\times4\times3\times2\times1}\)

Simplifying

= 13×11×2×3×2

= 1716

Hence, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.

To learn more about combination link is here

https://brainly.com/question/14685054

#SPJ4

The graph with all the solutions can be seen in the image at the end of the answer.

We want to solve the 3 quadratic equations and then graph them in a coordinate axis.

Remember that for a complex number z = a + bi, the real part a goes in the horizontal axis and the complex part b goes in the vertical axis.

a) We start with:

m² = 16

m = √16

m = ±4

b) x² = -9

x = ±√-9

x = ±3i

c) t² = -25

t = ±√-25

t = ±5i

The graph of all of these points can be seen in the image at the end.

Learn more about complex numbers at:

https://brainly.com/question/10662770

#SPJ1

Answer:

7.8025

Step-by-step explanation:

You get the circumfence formula 2 * pi * r

since you are looking for the radius divide 49/2 then the answer you get divide it by pi and then you have your radius

i hope this helped<33

[I'm using 22/7 as pi in this question, for the sake of convenience, since the value of pi to be used isn't given.]

Circumference = \(2\pi r\)

49 = 2 x \(\frac{22}{7}\) x r

r = 49 x \(\frac{7}{44}\)

r = approx. 7.8 yards

The potential on the x-axis for x > L/2, with the zero of potential taken at infinity, is given by:

V(x) = 1/(4πε₀) * q/x = kq/(x^2 + 0^2)^(1/2)

To find the potential on the x-axis for x > L/2, we need to integrate the expression for the potential due to a point charge:

V(x) = kq/x

where k is the Coulomb constant, q is the charge, and x is the distance from the charge to the point where we want to find the potential.

Assuming that the charge is located at the origin, we have:

V(x) = kq/x = kq/(x^2 + 0^2)^(1/2)

Using the hint given in the question, we can write:

1/(x^2 + 0^2)^(1/2) = 1/a * 1/(x/a) * ∫dx/(1 + y^2)

where a is a constant with units of length and y = x/a. Substituting this expression in the equation for V(x), we get:

V(x) = kq/a * ∫dx/(x/a) * ∫dy/(1 + y^2)

We can simplify this expression as follows:

V(x) = kq/a * ln|x/a + (x^2/a^2 - 1)^(1/2)|

Now, we can take the limit as a approaches infinity, which means that the charge is taken to infinity. In this limit, we have:

V(x) = kq/x = 1/(4πε₀) * q/x

For more similar questions on potential:

https://brainly.com/question/25738147

#SPJ11

The equation as given in the task content above can be said to represent; Choice C; function online.

By definition, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

A relation, on the other hand defines the relationship between sets of values of ordered pairs.

Read more on functions and relations;

https://brainly.com/question/10439235

#SPJ1

For the given continuous random variable x:

(a) p(x < 4) = -8/27.

(b) p(3 ≤ x < 4) = -5/27

The continuous random variable x that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 x)/27.

(a) To find p(x < 4), we need to integrate the density function from x = 2 to x = 4:

p(x < 4) = ∫24 2(1 x)/27 dx

= (2/27) ∫24 (1 - x) dx

= (2/27) [(x - x2/2)]24

= (2/27) [(4 - 42/2) - (2 - 22/2)]

= (2/27) [(4 - 8) - (2 - 2)]

= (2/27) [(-4) - 0]

= (2/27) (-4)

= -8/27

So, p(x < 4) = -8/27.

(b) To find p(3 ≤ x < 4), we need to integrate the density function from x = 3 to x = 4:

p(3 ≤ x < 4) = ∫34 2(1 x)/27 dx

= (2/27) ∫34 (1 - x) dx

= (2/27) [(x - x2/2)]34

= (2/27) [(4 - 42/2) - (3 - 32/2)]

= (2/27) [(4 - 8) - (3 - 4.5)]

= (2/27) [(-4) - (-1.5)]

= (2/27) (-2.5)

= -5/27

So, p(3 ≤ x < 4) = -5/27.

Know more about continuous here:

https://brainly.com/question/18102431

#SPJ11

Answer:

B. x=75

Step-by-step explanation:

First, write out the equation as you have it:

x/5=15

Then, multiply both sides of the equation by 5/1:

5/1(x/5)=15(5/1)

Your result is:

x=75

Answer:-75 on a pex quiz 1.4.3

Step-by-step explanat

A union of two sets does not necessarily need to have more elements than either set. It can have the same elements, more elements, or fewer elements than either set.

No, she is not correct. A union of two sets does not necessarily need to have more elements than either set. A union is the combination of two sets, combining the elements of both. It could have the same elements as either set A or set B, or it could have more or fewer elements than either set.

A union of two sets does not necessarily need to have more elements than either set. It can have the same elements, more elements, or fewer elements than either set.

The complete question :

Lena says that a union b must always have more elements than either a or b. Is she correct? Explain.

Learn more about set here

https://brainly.com/question/12979762

#SPJ4

The angle measure of one of the two congruent angles in the given triangle is 35.3°.

Angle measure is the same for congruent angles.

An ordinary pentagon, for instance, has five sides and five angles, each of which is 108 degrees.

The angles of a regular polygon will always be congruent, regardless of its size or scale.

Vertical Angles, Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles.

So, we need to find the remaining 2 congruent angles which are equal:

Then, calculate as follows:

180 - 109.4 = 70.6

70.6/2 = 35.3°

Therefore, the angle measure of one of the two congruent angles in the given triangle is 35.3°.

Know more about congruent angles here:

https://brainly.com/question/2938476

#SPJ1

The area of the sector is 72f

The given parameters are:

Angle = f

Diameter = 24

Start by calculating the radius

r = Diameter/2

r = 24/2

r = 12

The area of the sector is

A = (θ/2) × r^2

So, we have

A = (f/2) * 12^2

Evaluate

A = 72f

Hence, the area of the sector is 72f

Read more about sector area at:

https://brainly.com/question/22972014

#SPJ1

Answer:

12285

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

In order to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2), the steps to use are:

A graph is actually known to be a diagram which is used in mathematical problems to show or review the relationship that exists between two or more sets of numbers.

We see that in order to graph the given equation above, it is necessary to follow the steps outlined above.

Learn more about graph on https://brainly.com/question/4025726

#SPJ9

Answer:

D.

Step-by-step explanation:

pint slope form:

(y-y1)=m(x-x1)

do just olug in the point and the slope into the equation

(y-4)= -8/7 (x-4)

Correct question:

The experimental probability that Cindy will catch a fly ball is equal to 3/7. About what percent of the time will Cindy catch a fly ball?

Answer:

42.9%

Step-by-step explanation:

Given that:

Experimental probability of catching a fly is 3/7

This can be interpreted as : Out of 7 tries, Cindy caught a fly only 3 times

Expressing this as a percentage :

3/7 * 100%

0.4285714 * 100%

42.857%

= 42.9%

Hence, Cindy will catch a fly at about 42.9% of the time

The probability that the first ball drawn is a red is 8/14

the probability that the first ball drawn is a yellow is 6/13

Let A = getting a red ball

B= getting a yellow ball given that first was red ball

P( A ) = 8/14

P( B  ) = 6/ 13 (since 1 red ball is out)

A(A ∩ B)= 6/13 x 8/14 =

48/182

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.

To learn more about probability

https://brainly.com/question/4651868

#SPJ4

Answer:

d

Step-by-step explanation:

took the quiz

The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

To learn more about hypothesis test refer:

https://brainly.com/question/32068220

#SPJ11

Step-by-step explanation:

we use the point-slope approach :

y - y1 = m(x - x1)

m is the slope, and (x1, y1) is a point on the line.

so,

1.

y - 2 = 7(x - 1) = 7x - 7

y = 7x - 5

2.

y - -1 = -1×(x - 3) = -x + 3

y + 1 = -x + 3

y = -x + 2

3.

y - 5 = -4(x - -2) = -4x - 8 (3x a "-" is a "-" for 8)

y = -4x - 3

4.

y - 5 = 5/3 × (x - 3) = 5x/3 - 5

y = 5x/3 or 5/3 × x

Answer:

1. \(7x-y=5\)

2. \(x+y=2\)

3. \(4x+y=-3\)

4. \(5x-3y=0\)

Step-by-step explanation:

Since we already know the slope and the coordinates of one point, first use the point-slope form to create an equation.

\(y-k=m(x-h)\)

\(y-2=7(x-1)\)

\(y-2=7x-7\)

\(7x-y=5\)

\(y+1=-1(x-3)\)

\(y+1=-x+3\)

\(x+y=2\)

\(y-5=-4(x+2)\)

\(y-5=-4x-8\)

\(4x+y=-3\)

\(y-5=\frac{5}{3} (x-3)\)

\(y-5=\frac{5}{3}x-5\)

\(3y-15=5x-15\)

\(5x-3y=0\)

Step-by-step explanation:

I am not sure I understand the question with all the typos and potentially missing parts.

as I understand it, it will take her 4 hours to reach her destination when going 15 mph.

and the question is how long the trip will take, if she travels at 12 mph.

4 h × 15 m/h = 4 × 15 m = 60 miles

that is the distance of her trip.

when going slower, the distance is of course still the same, only the needed time changes :

x h × 12 m/h = 60 m

x × 12 m = 60 m

x = 60/12 = 5 hours

the trip would take her 5 hours to complete (instead of 4).

Answer:

∠J= 22°

JL=19.0137

KL=7.99

Step-by-step explanation:

The step-by-step is attached as a picture.  Hope it helps!  Feel free to message me if you have any questions in reference to this math problem.

The answer to the problem you sent me in the comments is attached to here too.  

If all six bounds (limits of integration) are constant (numerical values, no variables) in cylindrical coordinates, then we must have a rectangular box-like region.

This is because in cylindrical coordinates, we have three variables: radius, angle, and height. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular box-like region.

In spherical coordinates, if all six bounds are constant, then we must have a rectangular pyramid-like region. This is because in spherical coordinates, we have three variables: radius, polar angle, and azimuthal angle. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular pyramid-like region.

It is not possible to have the exact same region represented with only constants in both cylindrical and spherical coordinates simultaneously. This is because the two coordinate systems have different geometric shapes and different ways of representing the variables. However, it is possible for the regions to have similar shapes and for the bounds to have similar numerical values in both systems.

For more about cylindrical coordinates:

https://brainly.com/question/31046653

#SPJ11

The value of the derivative, f'(x), is equal to 16x + 7.

To find f'(x), we need to take the derivative of the given function. Using the power rule and the constant multiple rule, we get:
f'(x) = 16x + 7

Now that we have the derivative, we can use the given condition f(0) = 3 to solve for the constant of integration.

We know that:
f(x) = ∫ f'(x) dx

So we can integrate f'(x) to get:
f(x) = 8x² + 7x + C
where C is the constant of integration.

Using f(0) = 3, we get:
f(0) = 8(0)² + 7(0) + C = 0 + 0 + C = C = 3

So the final equation for f(x) is:
f(x) = 8x² + 7x + 3

And the derivative is:
f'(x) = 16x + 7

Learn more about derivative:

https://brainly.com/question/23819325

#SPJ11

Answer:

-(x+8)(3x-1)

Step-by-step explanation:

Take out the - sign, then factor as if it is positive.

Answer: 1 .79

Step-by-step explanation:

Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

Given data,

A piece of brass has a volume v cm'.

there were 6 cm'

mass would be 200 g

So,

We can write,

                       volume V = 6cm

                brass mass M = 200g

                        Find density d.

Define Density :

Density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centi meter.

                                  d = M/V

Where,

M: It is the mass

V: It is the volume

According to the data of the statement we have:

                                \(V = 6 cm^{1}\)

                                \(M = 200g\)

So, the density is given by:

                                d = M/V

                                d = \(\frac{200g}{6cm^{1} }\)

                                d = \(33.33\frac{g}{cm^{1} }\)

Therefore,

The density of the brass ornament is d = \(33.33\frac{g}{cm^{1} }\)

Learn more about event correlation here: brainly.com/question/15339296

#SPJ9