This question concerns bit strings of length six. These bit strings can be divided up into four types depending on their initial and terminal bit. Thus the types are: 0XXXX0, 0XXXX1, 1XXXX0, 1XXXX1. How many bit strings of length six must you select before you are sure to have at least 6 that are of the same type?

Answers

Answer 1

Answer:

We have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.

Step-by-step explanation:

Since the string type is determined by the initial and terminal bits as understood from the question, then the value of the bits between the initial and terminal bits is of no concern to us.

Now, to be sure you have atleast 6 of the same type, we select each string five times. By doing this, we have already selected 20 strings because we have 4 strings there. Now if you choose any of the string one more time, we are certain that we must have chosen atleast 6 strings that are the same. This means we have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.


Related Questions

25 POINTS! factor the trinomial:[tex]x^2-2x-2[/tex]

Answers

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

_____________ (x-1+i)(x-1-i)

The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone explain how to solve this?

Answers

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

(1) Calculate how many times the bacteria divide in eleven hours

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

(2) Add the orginial size of bacteria into the equation

(This part is edited)

(orginial size)*2^number of divisions

10*[tex]2^{33\\}[/tex]

=85899345920

Which of the following is not an example of using the distributive property to multiply 12 times 22?
O 12(20 + 2)
o 22(10 + 2)
O 10(2.22)

Answers

the last answer 10(2.22)

Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

(10 points)determine which one is an right angle

Answers

Answer:

Number 7.

since it makes an L shape, and has a 90° angle

Find two numbers that you can multiply to get a product of 0.56. 0.6 0.7 0.8 0.9 6 7 8 9

Answers

Answer:

0.7 and 0.8

Step-by-step explanation:

First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.


Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
- 2x + 3y = 7
- 4x + 9y = 27

Answers

-2x+3y=7

X=-2y+3y+-3y=7+3y

-2x=-3y+7

-2x/-2=-3y+7/-2

X=3/2y+-7/2

Y=2/3x+7/3

-4x+9y=27
X=9/4y+-27/4
Y=4/9y+3

A graphic designer worked 20 hours last week. Their hourly rate is 19.52 per hour. How much money did they make last week before taxes

Answers

Answer:

20 * 19.52 = 390.40

Thank you and please rate me as brainliest as it will help me to level up

Due today at 12:59!!!!!

Answers

Answer: Im confused?

Step-by-step explanation:

Please help ASAP!!!!!!

Answers

9514 1404 393

Answer:

  a) correct

  b) needs parentheses: -1, (1±i√2)/3

Step-by-step explanation:

a) You can factor by grouping:

  (x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)

Roots are ±√5, 2.

__

b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...

  3x³ +x² -x +1 = (x +1)(3x² -2x +1)

The quadratic formula can be used on the quadratic factor to find its roots:

  x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3

Roots are -1, (1 ±i√2)/3.

Write the equation in standard form

Answers

Answer:

standard form: Ax + By = C

Slope-intercept form: y=mx+b

where m is the slope and b is the y intercept.

first lets put this into intercept form:

y=-5x+b

(4, 0) is the x intercept.)

To find what b is plug in the point 4, 0 for the x and y of the equation:

0=-5(4)+b

0=-20+b

20=b

b=20

Now that we have the slope, m, and the y intercept, b, we can make our equation

y=-5x+20

Now we need to transform this equation into standard form like so:

y=-5x+20

5x+y=20 - this is your answer

Step-by-step explanation:

A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?

Answers

Answer:

Each car weighs 2,265 pounds

Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

15.855 = X

Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

15.855 / 7 = X

2,265 = X

Therefore, each car weighs about 2,265 pounds.

Change the radical √5/√8


into simplest radical form a/b √c, where a, b, and c are all integers.

Answers

Answer:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]

Required

Express in its simplest form

To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.

In other words:

[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]

[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]

[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]

Take positive square root

[tex]\frac{\sqrt{40}}{8}[/tex]

Express 40 as 4 * 10

[tex]\frac{\sqrt{4*10}}{8}[/tex]

[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]

[tex]\frac{2*\sqrt{10}}{8}[/tex]

Simplify:

[tex]\frac{1*\sqrt{10}}{4}[/tex]

[tex]=\frac{1}{4}\sqrt{10[/tex]

Hence:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Answer the two questions below. THANKS!!

Answers

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

==========================================================

Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

Which triangle is a translation of the orange triangle?

Answers

Answer:

5,6 meaning the answer is 4

Step-by-step explanation:

If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?

Answers

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the dough so that the probability your cookie contains no chip is 0.02?

Answers

Answer:

391 chips

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(X = k) = (e^(-λ) × λ^(k))/k!

Let n be the number of chips she puts in the dough.

Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.

So, λ = n/100

Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.

Thus;

P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02

This gives;

e^(-λ) = 0.02

Putting λ = n/100, we have;

e^(-n/100) = 0.02

-n/100 = In 0.02

-n/100 = -3.912

n = -100 × -3.912

n ≈ 391 chips

hellllp me plllllllzzzzzzzz​

Answers

Answer:

x = 4

QS = 20

Step-by-step explanation:

PS is all the numbers added together.

PQ + QR + RS = PS

(PLUG IN)

8 + 3x - 1 + 9 = 28 (collect like terms)

3x + 16 = 28 (subtract 16 on both sides)

3x = 12 (divide by 3 on both sides)

x = 4

QR + RS = QS

(PLUG IN)

3(4) - 1 + 9 = QS (distribute)

12 - 1 + 9 = QS (collect like terms)

20 = QS

Hope this helps ya!!

Multiplying and Dividing Radicals

Simplify the following expressions.

Answers

the answer is 14. your welcome :)

Add simplify the answer and write it as a mixed number 7 3/7 + 3 3/5

Answers

You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.  

52/7 = 260/35

18/5 = 126/35

Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35

Brainliest PLZ HELP!!! Explain 36. ABC is an isosceles triangle with vertex angle B. AB = 5x – 28, AC = x+5 and BC = 2x + 11. Find
the length of the base.
a. 13
b. 37
c. 18
d. 39

Answers

Answer:

the answer is 37

take any 2 sides and equate it

then u will get the value of x then then take the aside and put the value of x u will get the answer

Step 3 out of 5:
Multiply
7/3 times 3/2=

7/3 times 1/2=

Answers

The answers are 7/2 and 7/6

Answer:

Input Data :

Fraction A = 8383

Fraction B = 7272

Objective :

Find the product of fractions?

Formula :

Solution :

83×7283×72 = ?

Mutiply both numerators & denominators

83×7283×72= 8×73×28×73×2 = 566566

Simplify above fraction 566566

Common divisor of (56, 6) is 2

Divide both numerator & denominator by gcd value 2

566=56÷26÷2=283566=56÷26÷2=283

83×72=283

3(2^2x+3)-5(2^x+2)-156=0 in logarithm form

Answers

Answer:12x-157-5.2x

Step-by-step explanation:Like this or you want us to solve it lol

The given equation can be written in logarithmic form as  xlog(2) + log(3 × 2ˣ - 5) = log(157).

What is Logarithm?

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

Logarithm of any number is always positive.

For negative numbers, the logarithm are complex numbers.

The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]

Suppose 2ˣ be t, then the equation can be rewritten as,

3(t² + 3) - 5(t + 2) - 156 = 0

⇒ 3t² - 5t = 157

⇒ t(3t - 5) = 157

Take logarithm both sides to get,

log(t(3t - 5)) = log(157)

Use the property log(ab) = log(a) + log(b) to get,

log(t) + log(3t - 5) = log(157)

Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,

xlog(2) + log(3 × 2ˣ - 5) = log(157)

Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).

To know more about logarithm click on,

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how do you solve this? ​

Answers

Answer:

i have no idea.....

Step-by-step explanation:

Answer:

sin(5x)

Step-by-step explanation:

Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:

[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]

therefore, in our case:

[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]

so, make sure you type the expression : "sin(5x)" in the provided text-box.

Which of the following numbers can be expressed as repeating decimals? (15 points!!!)

2 over 9 , 3 over 8 , 5 over 6 , 5 over 4
3 over 8 and 5 over 6
2 over 9 and 5 over 6
2 over 9 and 5 over 4
3 over 8 and 5 over 4

PLEASE HELP

Answers

2/9 and 5/6

You can type all of these values into the calculator, and if you find the value to have a finite number of digits, then said number would not be the answer

2/9 = 0.22222222....
3/8 = 0.375
5/6 = 0.83333333....
5/4 = 1.25

the sum of two numbers is 45 and the different is 21.what are the numbers

Answers

a + b = 45
a - b = 21
a = 21 + b
Use substitution
21 + b + b = 45
2b = 24
b = 12
45 - 12 = 33
The numbers are 33 and 12

A photo 5 inches wide and 8 inches long is enlarged.

How long is the new photo if it is (1)10 inches; (2)15 inches; (3)8 inches wide?

The new photo is_long if it is 10 in wide.
The new photo is_long if it is 15 in wide.
The new photo is_long if it is 8 in wide.

Answers

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2.Width=x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width =x=8 in

Substitute the values in the given formula

Hence, the length of new photo=12.8 in

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2. Width= x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width = x=8 in

Substitute the values in the given formula

Hence, the length of new photo= 12.8 in

Choose the graph that matches the inequality ­ y < –2x + 4.

Answers

Answer:

C

Step-by-step explanation:

You know that if its < or >, the line is - - - -, not a fully dark line.

So it would be either A or C

Plot in some numbers for x

Less than would be to the left.

So it wouldn't be A, leaving us with C

Answer:

I belive this would be C

Step-by-step explanation:

Alonzo wrote the equation x=2+4y-5 solve for y

Answers

hi

if x= 2+4y-5  then        x-2 +5 =  4y   so   y =  (x-2+5)  /4 =  ( x+3) /4

conclusion   y  =  (x+3)/4

Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)

Answers

Answer:

(g ○ f)(-2) = 32

Step-by-step explanation:

Given

[tex]f(x)=5x+4[/tex]

[tex]g\left(x\right)=x^2-4[/tex]

We have to evaluate (g ○ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).

Finding f(-2)

[tex]f(x)=5x+4[/tex]

[tex]f(-2) = 5(-2)+4[/tex]

          [tex]= -10 + 4[/tex]

          [tex]= -6[/tex]

Then

[tex]g\left(-6\right)=\left(-6\right)^2-4[/tex]

          [tex]=36-4[/tex]

          [tex]= 32[/tex]

Therefore,

(g ○ f)(-2) = 32

1.The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000. What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?The mean of the sampling distribution of sample of means is $52,000 or $54,000 and the standard deviation is Select an answer $625 or $5000 . 2, The z-score for this problem is Select an answer .4 or -.4 or 3.2 or -3.2 . 3.What is the probability of that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?A) .0007B) .9993C) .3446D) .6554

Answers

Answer:

1

Step-by-step explanation:

The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.

The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be

The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.

Then the z-score will be

z = (52000 – 54000) / 5000

z = –2000 / 5000

z = –0.4

Then the correct option is B.

Then the probability will be

P(x < 52000) = P(z < 0.-4)

P(x < 52000) = 0.34458

Then the correct option is C.

More about the z-score link is given below.

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