Given n objects arranged in a row, a subset of these objects is called unfriendly if no two of its elements are consecutive. Show that the number of unfriendly subsets each having k elements is

6th term in the sequence is 1024

Answer:

1024

Step-by-step explanation:

I hope this helps!

Answer:

  (x, y) = (-3, -2)

Step-by-step explanation:

Perhaps this is a system of equations you want the solution for.

Since you have an expression for y, substitution is a viable approach.

  5x +7(x+1) = -29 . . . . . . substitute for y

  12x = -36 . . . . . . subtract 7 and simplify

  x = -3 . . . . . . . . . divide by 12

  y = (-3) +1 = -2 . . . use the expression for y

The solution is (x, y) = (-3, -2).

Answer:

$30 is the price of the original pair of sneakers.

Step-by-step explanation:

You wanna cross multiply so you put :

18. 60

_ = _

x. 100

You multiply 18 the cost of the sneakers by 100 and then divide the product (1800) by 60 and you get $30.

MARK ME AS BRAINLIEST!

Answer:

(D)Jaleel's method is correct because 2(x-2)=2x-4.

Step-by-step explanation:

Jaleel and Lisa are simplifying the expression 2(x-2)+2 as shown.

[tex]J$aleel's Method: \left\{\begin{array}{ccc}2 (x -2) + 2 \\= 2 x - 4 + 2 \\= 2 x - 2\end{array}\right[/tex]

[tex]L$isa's Method: \left\{\begin{array}{ccc}2 (x-2) + 2 \\= 2 x -2 + 2 \\= 2 x\end{array}\right[/tex]

We can see that Jaleel's method is correct because:

2(x-2)=2x-4.

When you expand, you must multiply the term outside by all the terms inside the bracket.

The correct option is D.

Answer:

Jaleel is correct because 2 (x minus 2) equals 2 x minus 4.

D is correct

Step-by-step explanation:

i just took the quiz.

Answer:

The probability no one delays or goes without medical care is 0.168;

The probability only one person delays or goes without medical care is 0.336.

Step-by-step explanation:

This problem can be modeled with a binomial random variable, with sample size n=8 and probability of success p=0.2.

The probability that exactly k Americans delay or go without medical care because of concerns about cost within the sample of eight individuals can be calculated as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.2^{k} 0.8^{8-k}\\\\\\[/tex]

The probability no one delays or goes without medical care (x=0) is:

[tex]P(x=0) = \dbinom{8}{0} p^{0}(1-p)^{8}=1*1*0.168=0.168\\\\\\[/tex]

The probability only one person delays or goes without medical care (x=1) is

[tex]P(x=1) = \dbinom{8}{1} p^{1}(1-p)^{7}=8*0.2*0.21=0.336\\\\\\[/tex]

Answer:

x=2

Step-by-step explanation:

4x /2 = 4

Simplify the left side

2x = 4

Divide each side by 2

2x/2 = 4/2

x = 2

Answer:

1. s=gfcgj sdgc

gzgixxhcxc

vxtuixzdfhvxxgjknn

jfhujhgcxvjkmvcghj

mvhuiknbb5542698755

8423675369

8823

Answer:

{$3.60; $3.68}

Step-by-step explanation:

The confidence interval for a sample of size 'n', with mean price 'X' and standard deviation 's' is determined by:

[tex]X\pm z*\frac{s}{\sqrt n}[/tex]

The z-score for a 95% confidence interval is 1.96.

Applying the given data, the lower and upper bounds of the confidence interval are:

[tex]3.64\pm 1.96*\frac{0.0835}{\sqrt 20} \\L=\$3.60\\U=\$3.68[/tex]

The confidence interval for the mean price received by farmers for corn sold in January is:

CI : {$3.60; $3.68}

Answer:

The answer is option C

y = 1/3x - 10 ........ 1

2x + y = 4 .......... 2

Substitute the first equation into the second one

That's

2x + 1/3x - 10 = 4

7/3x = 14

Multiply through by 3

That's

7x = 42

Divide both sides by 7

x = 6

Substitute x = 6 into any of the Equations

y = 1/3x - 10

y = 1/3(6) - 10

y = 2 - 10

y = - 8

Therefore

x = 6 y = - 8

Hope this helps

Answer:

The probability that 45 randomly selected laptops will have a mean replacment time of 4.4 years or less is P(M<4.4)=0.0468.

Step-by-step explanation:

We have a population normally distributed with mean 4.5 years and standard deviation of 0.4 years.

Samples of size n=45 are selected from this population.

We have to calculate the probability that a sample mean is 4.4 years or less.

Then, we calculate the z-score for the sample mean M=4.4 and then calculate the probability using the standard normal distribution:

[tex]z=\dfrac{M-\mu}{\sigma/\sqrt{n}}=\dfrac{4.4-4.5}{0.4/\sqrt{45}}=\dfrac{-0.1}{0.06}=-1.677\\\\\\P(M<4.4)=P(z<-1.677)=0.0468[/tex]

The probability that 45 randomly selected laptops will have a mean replacment time of 4.4 years or less is P(M<4.4)=0.0468.

Answer:

2

Step-by-step explanation:

Let

P = percentage of those that text and drive

S = percentage of those that do not text and drive

P + S = 1

S = 1 - P

S = 1 - 0.52

S = 0.48

The expected number would be:

1/0.48 = 2.08

Which is approximately 2.

Therefore the expected number of people the police officer would expect to pull over until she finds a driver not texting is 2.

The number of people should a police officer expect to pull over until she finds a driver NOT texting while driving is; 2 people

A geometric random value is one that gives a discrete time as to the the first success of an event.  

Now, we are told that it is estimated that 52% of drivers text while driving. Thus, the success is a driver that is not texting, and the probability (p) is 0.52.

This means that the expected value of a geometric random variable is expressed as 1/p.  

Therefore, In this question;

geometric random variable = 1/0.52

⇒ 1.923 ≈ 2

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Answer:

its 8

Step-by-step explanation:

I did it good luck for the rest of the questions!

Answer:

Discriminant=8

Step-by-step explanation:

-x²+4x-2=0

here a=-1,b=4 and c=-2

Discriminant=b²-4ac

Discriminant=(4)²-4(-1)(-2)

Discriminant=16-8

Discriminant=8

i hope this will help you :)

Answer: 2 1/2 or 2.5 hours

Step-by-step explanation:

Add 360 and 330

360 + 330 = 690

Divide 1,725 by 690

1,725 / 690 = 2.5

The two planes will meet in 2.5 hours

The speed is the distance covered by an object at a particular time. The time it will take for the two planes to meet is 2.5 hours.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given that the speed of the two planes is 360 km/hr and 330 km/hr. Therefore, the relative speed of the two planes with respect to each other is,

Relative speed = 360 km/hr + 330 km/hr

                         = 690 km/hr

Now, since the total distance between the two cities is 1725 km. Therefore, the time it will take for two planes to meet is,

Time = Distance /Speed

         = 1725 km / 690 km/hr

         = 2.5 hour

Hence, the time it will take for the two planes to meet is 2.5 hours.

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Answer:

It cannot be extended.

Step-by-step explanation:

Consider the function [tex]f(x,y) = \frac{x^2-y^2}{x^2+y^2}[/tex]. To extend this functions so it is continous at (0,0) we must define [tex] f(0,0) = \lim_{(x,y)\to(0,0)\frac{x^2-y^2}{x^2+y^2}[/tex]. However, this implies that the limit exists. So, we should find if the limit exists or not.

In this case, consider the case in which y =0. When y=0 then

[tex]\lim_{(x,y)\to(0,0) \frac{x^2-0^2}{x^2+0^2} = \lim_{x\to 0}\frac{x^2}{x^2}= 1[/tex]

But, when x=0, we get

[tex]\lim_{(x,y)\to(0,0) \frac{0^2-y^2}{0^2+y^2} = \lim_{y\to 0}\frac{-y^2}{y^2}=-1[/tex].

So, since the limit depends on how we approach to the point (0,0) the limit does not exist. So we can't extend f(x,y) so it is continous.

Answer:

x = 74.3

Step-by-step explanation:

Using the trigonometric ratio formula, the missing side, x, of the right angled triangle, can be found as follows:

Ѳ = 22°,

adjacent side length = x

Opposite side length = 30

Thus, we would apply the formula:

tan Ѳ = opposite length/adjacent length

[tex] tan 22 = \frac{30}{x} [/tex]

Multiply both sides by x

[tex] tan 22*x = \frac{30}{x}*x [/tex]

[tex] tan 22*x = 30 [/tex]

[tex] 0.4040*x = 30 [/tex]

Divide both sides by 0.4040 to make x the subject of the formula

[tex] \frac{0.4040*x}{0.4040} = \frac{30}{0.4040} [/tex]

[tex] x = \frac{30}{0.4040} [/tex]

[tex] x = 74.26 [/tex]

x ≈ 74.3 (to the nearest tenth)

Answer:

-2/5

Step-by-step explanation:

The slope of two parallel lines will be the same.

Here, our equation is 5y + 2x = 12. Let's find the slope by isolating y:

5y + 2x = 12

5y = -2x + 12

y = (-2/5)x + 12/5

So, the slope is -2/5.

Thus, the slope of the line parallel to the given one will be -2/5.

~ an aesthetics lover

Answer:

-2/5

Step-by-step explanation:

5y+2x=12

Solve for y

Subtract 2x

5y = -2x+12

Divide by 5

5y/5 = -2/5 x +12/5

y = -2/5x +12/5

The slope is -2/5

Parallel lines have the same slope

Answer:

the slope equation is y2 - y1 divided by x2 - x1

Step-by-step explanation:

so the answer would be 3 over 2 because of this method

Answer:

3/2

Step-by-step explanation:

Use the easy rise over run method.

start at the point (50,20) then go up 3 units and 2 units to the right to get the next point.

3/2 should be the slope.

Hope I helped you!

Answer:

The radioactive decay constant or  k = ln (.5) / Half-Life

Half-Life =  -.693147 / .00012

Half-Life = -5,776.225  years

We'll call beginning amount as 100%

Ending Amount = Beginning Amount / 2^n (where n = # of half-lives)

n = 4,050 / 5,776.225 = 0.7011499725

Ending Amount = 100% / 2^0.7011499725

Ending Amount = 100% / 1.625800202

Ending Amount = 61.5081729452%

Ending Amount = 61.5 % (rounded)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The error that Jose makes in the given expression is that:

D). In Step 4, the inequality should be x+82/426 a minimum of 0.25.

Given that,

Step 1:

Assuming [tex]x[/tex] as the variable to denote the no. of signatures from the students.

Step 2:

[tex](x + 82)/426[/tex] which is correct because it displays the ratio equivalently regarding the number of signatures needed upon the total students present in the school.

Step 3:

This also correctly displays the decimal form of 25% is [tex]0.25[/tex]

Step 4:

This displays an error because to make this inequality Jose requires a minimum of 25% or 0.25 but he gets:

[tex](x + 82)/426[/tex]  [tex]\leq[/tex] [tex]0.25[/tex]

Thus, option D is the correct answer.

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Answer:

0.6

Step-by-step explanation:

3+2=5

P (white) = 3/5 = 0.6

(Hopefully this works, if not, on hearty maths you can go back to your assigned tasks page and go back onto the task to get a new question if that makes sense)

Answer:

[tex]slope = \dfrac{-680}{9}[/tex]

Step-by-step explanation:

We are given coordinates of two points:

Let the points be A and  B respectively:

[tex]A(\dfrac{7}{20}, \dfrac{8}{3})\\B(\dfrac{3}{8}, \dfrac{7}{9})[/tex]

To find the slope of line AB.

Formula for slope of a line passing through two points with coordinates [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given as:

[tex]m = \dfrac{y_2- y_1}{x_2- x_1}[/tex]

Here, we have:

[tex]x_2 = \dfrac{3}{8}\\x_1 = \dfrac{7}{20}\\y_2 = \dfrac{7}{9}\\y_1 = \dfrac{8}{3}\\[/tex]

Putting the values in formula:

[tex]m = \dfrac{\dfrac{7}{9}- \dfrac{8}{3}}{\dfrac{3}{8}- \dfrac{7}{20}}\\\Rightarrow m = \dfrac{\dfrac{7-24}{9}}{\dfrac{15-14}{40}}\\\Rightarrow m = \dfrac{\dfrac{-17}{9}}{\dfrac{1}{40}}\\\Rightarrow m = \dfrac{-17\times 40}{9}\\\Rightarrow m = \dfrac{-680}{9}[/tex]

So, the slope of line AB passing through the given coordinates is:

[tex]m = \dfrac{-680}{9}[/tex]

Answer:

Step-by-step explanation:

The angle next to 90 degrees is also 90 degrees and it's supplementary

the angle next to 133 degrees is 47 degrees and it's also supplementary

p + 90 + 47 = 180

p + 137 = 180

p = 43 degrees

the solution is d

Answer:

0

Step-by-step explanation:

There are no green counters in the bag.

Answer:

With 99% confidence the proportion of all smart phones that break before the warranty expires is between 0.041 and 0.069.

Step-by-step explanation:

We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.055.

[tex]p=X/n=97/1750=0.055[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.055*0.945}{1750}}\\\\\\ \sigma_p=\sqrt{0.00003}=0.005[/tex]

The critical z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=2.576 \cdot 0.005=0.014[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.055-0.014=0.041\\\\UL=p+z \cdot \sigma_p = 0.055+0.014=0.069[/tex]

The 99% confidence interval for the population proportion is (0.041, 0.069).

Answer:

The correct answer would be C

Step-by-step explanation:

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The choice which best compares the volume of the cylinders is; Choice B; The volume of cylinder B is the same as that of cylinder A.

From geometry, It can be concluded that the volume of a solid shape is the product of its cross sectional area and the height over which the area spans. On this note, since the volume of a cylinder is dependent on the radius and height of the cylinder, both cylinders have equal volumes.

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Answer:

y = -2x +4

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +4

Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4        28+7a

------------------ * --------------------

9a^2 -6a+1         a^2 -16

Factor

(3a-1)(a-4)           7(4+a)

------------------ * --------------------

(3a-1) (3a-1)        (a-4)(a+4)

Cancel like terms

1                    7

------------------ * --------------------

(3a-1)                  1

Leaving

7/ (3a-1)

Answer:

z = 60°

Step-by-step explanation:

In ΔABC

Sum of all angles of triangle = 180

65 + 55 +∠A = 180

120 +∠A = 180

∠A = 180 - 120

∠A = 60

In similar triangles, corresponding angles are congruent

z = ∠A

z = 60°