a) This problem involves 8-digit binary strings such as 10011011 or

00001010.

i How many such strings are there?

ii. How many such strings end in 0?

iii. How many such strings have l's for their second and fourth digits?

iv. How many such strings have l's for their second or fourth digits?

b) Find how many 9-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6,

7, 8, 9 if repetition is not allowed and all the odd digits occur first (on the

left) followed by all the even digits.

c) How many permutations of the letters A, B, C, D, E, F, G are there in which

the three letters ABC appear consecutively, in alphabetical order?

Answers

Answer 1

Answer:

i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.

ii) Each digit is set to 1 or 0 for exactly half of all combinations. This means that half of all strings, or 256 / 2 = 128 strings end with a zero.

iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit. If you consider:

Half of all digits will have the second bit set to 1

Half of all digits will have the fourth bit set to 1

Half of those will overlap

Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4

iv) This is a duplicate of iii, so again, 192

b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used. We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696

c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24

Related Questions

The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?

Constant Of Proportionality = ________

Answers

Constant of proportionality is 0.20 because constant of proportionality is k=y/x so 1/5=0.20 or 0.2

Answer:

Step-by-step explanation:

y=kx

(5,1)

1=k*5

1/5=k*5/5

1/5=k

The constant of proportionality between y and x in this graph is

1/5

Triangle ABC ~ Triangle DEF, which of the following is a conclusion that can be drawn?
A. AB/AC=DE/DF
B. AB/DE=CA/DE
C. BC/AB=DE/EF
D. BC/AC=EF/DE

Answers

9x^2-10x^1+1 from −2x^2+4x−10.

your answer is A.) AB/AC=DE/DF

given h(x)=-x-3, find h(-6)

Answers

Answer:

h(-6) = 3

Step-by-step explanation:

h(x) = -x - 3

h(-6) = -(-6) - 3

h(-6) = 6 - 3

h(-6) = 3

What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?

Answers

Answer:

you can use decimals

Step-by-step explanation:

The circle graph shows the preferences of town residents for the new playground equipment in a park

If 240 residents responded to the survey, how many residents preferred each type of playground equipment

Swings:

residents

Sandbox: residents

Obstacle course: residents

Answers

Answer:

swings: 120 (50%)

obstacle course: 80 (1/3)

sandbox: 40

Step-by-step explanation:

we know by looking, that swings makes up 50%, so we divide 240 by 2 to get 120

the obstacle course makes up one-third, 1/3 of 240 is 80

add 120+80 to get 200

to find the sandbox amount, do 240 minus 200 and we get 40

The circle graph is used to show how variables measure against one another using a circle of different sectors.

There are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

The number of residents is given as:

[tex]n = 240[/tex]

From the given circle graph, we have the following proportions

[tex]Sandbox = 1/6n[/tex]

[tex]Obstacle = 1/3n[/tex]

[tex]Swings= 1/2n[/tex]

So, the number of residents in each equipment is:

[tex]Sandbox = \frac 16 \times 240[/tex]

[tex]Sandbox = 40[/tex]

[tex]Obstacle = \frac 13 \times 240[/tex]

[tex]Obstacle = 80[/tex]

[tex]Swings =\frac 12 \times 240[/tex]

[tex]Swings =120[/tex]

Hence, there are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

Answers

Answer:

Step-by-step explanation:

12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

What is the poH of a
8.4 x 10-11 M OH solution?

Answers

Answer:

p O H = 10.08

Step-by-step explanation:

Answer:

10.08

Step-by-step explanation:

Acellus sucks

PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!

Answers

Answer:

B. 112°

Step-by-step explanation:

4x -4 = (3x+4) + (2x-44)

4x -4 = 5x - 40

5x - 4x = -4 + 40

x = 36

∠BCA = 3 * 36 + 4 = 112

The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE

Answers

Answer:

y=x+2

Step-by-step explanation:

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 8 vegetarian toppings. How many choices do you have for your calzone

Answers

Answer:

1680

Step-by-step explanation:

Number of distinct Toppings wanted = 4

Total number of vegetarian topping = 8

To choose 4 distinct toppings from a total of 8

Using permutation :

nPr : n! (n - r)!

8P4 = 8! / 4!

8P4 = (8*7*6*5)

8P4 = 1680

Ms. Smith’s class raised $525.50 to go on a field trip. They rented a bus for $300 and budgeted $22.75 per student for meals. They will spend all the money they raised.

Write and solve an equation that models this situation and could be used to determine the number of students that can go on this trip.

Answers

Answer:

oui

Step-by-step explanation:

oui oui bagutte

help now plz just help plzzz

Answers

Answer:

there is no problem

Step-by-step explanation:

sorry

find the measure of

Answers

Answer:

105°

Step-by-step explanation:

Answer:

X=105 degrees

Step-by-step explanation:

180-50-80=50degrees

angle to the bottom left of X is 50degrees

180-90-65=25degrees

angle to the bottom right of X is 25 degrees

180-25-50=105 degrees

X=105degrees

Anyone please please answer (30points)

Answers

Answer:

Look in explanation

Step-by-step explanation:

for each k(x) value, plug the x into the given equation

-4: 1/2 (-4) -1 = -2-1=-3

all are solved this way

-2: -2

0: -1

2: 0

4: 1

ordered pair will be (x, (k(x))

for example (-4, -3)

do this for all other points

slope can be found by taking the change in y over change in x

so -2- -4 divided by -2 - - 3 = 2/1 = 2

slope = 2

hope that makes sense

What is 4 8/9 plus 3 2/11

Answers

Answer:

8 7/99, Decimal. (8.07 repeated)

Step-by-step explanation:

Sorry it’s so blurry but I think u can see it it’s 8.07..... also if u needed to know it’s irrational.

Given:
g(x) = 5 – 6x
Find:
g(5)

Answers

let's start by substituting 5 for x
g(5) = 5 - 6(5)
g(5) = 5 - 30
g(5) = -25

Which of the following statements is true?

Answers

Answer:

B and D

Step-by-step explanation:

Hope this helped :)

need help asap please

Answers

Answer:

y=3/4x+1

Step-by-step explanation:

If you rearrange the given equation to slope intercept form, you'll find the slope to be -4/3. If a line is perpendicular to another it'll have the opposite reciprocal for a slope, meaning the new line's slope would be 3/4. If you plug 3/4 and the given point's x and y value into slope intercept form you'll find the b value or y intercept to be 1. Since you now have the slope and the y intercept you can determine the equation to be y=3/4x+1. Hope this helps!

Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 16.03 ounces, the other weighs 18.98 ounces. How much does the box weigh?
14.99 ounces
14.72 ounces
14.08 ounces
14.01 ounces

Answers

14.99 is the correct answer

A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?

Answers

Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides

x = number of rides per month.

Without the pass, the cost per ride is 2.00 per ride.

With the pass, the cost per ride is 1.25 per ride plus 15.75 per month.

You want to know at what number of rides does the cost per ride using the pass become cheaper than the cost per ride without using the pass.

The formula for total cost is as follows:

without the pass:

C1 = 2*x

with the pass:

C2 = 15.75 + 1.25*x

You want to know when C2 becomes less than C1.

C2 < C1 is the inequality equation you are looking for.

Since C2 = 15.75 + 1.25*x, and C1 = 2*x, this equation becomes:

15.75 + 1.25*x < 2*x

Subtract 1.25*x from both sides of this equation to get:

15.75 < 2*x - 1.25*x which becomes:

15.75 < .75*x

Divide both sides of this equation by .75*x to get:

15.75/.75 < x

Simplify to get:

21 < x

21 < x is the same as x > 21.

Your answer is the C2 becomes cheaper than C1 when x > 21.

If you make x = 21, then:

C1 = 2*21 = 42
C2 = 15.75 + 1.25*21 = 15.75 + 26.25 = 42

They are equal.

If you make x = 22, then:

C1 = 2*22 = 44
C2 = 15.75 + 1.25*22 = 15.75 + 27.5 = 43.25

43.25 is cheaper than 44 so C2 is cheaper than C1, confirming that the equation is good.

The scatter graph shows the scores of 16 students on the biology and physics tests

Answers

Step-by-step explanation:

85 l don't see questions properly so l knew this much only l don't know exact answer so l write this answer

Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students

Answers

The answer would be a. 190 students

190 hope this helps

This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
VA
What is the solution?

Answers

I think the answer is 12

The solution is x=12

9 square root 3 divided by 3 square root 3

Answers

Answer:

[tex] \frac{9 \sqrt{3} }{3 \sqrt{3} } = \frac{9}{3} = 3 \\ [/tex]

3 is the right answer.

The decorating committee for a
school banque decides to put flower
arrangements on cach table. Each
arrangement will have 3 white
carnations and 5 yellow carnations.
The committee will need 60 white
carnations. What is the total numbe
of white and yellow carnations the
committee will need?

Answers

160 flowers
The ratio is 3:5 of white to yellow.
They need 60 white which means they times by 20. So 20x5=100 they will need 100 yellow. In total they need 160

decide whether each function is linear or nonlinear from its graph

Answers

The one on the left is linear bc it’s a straight line and the one on the right is nonlinear

When you add 98 to a number you usually...

Answers

Aneser:

+98

Step-by-step explanation:

when you are adding something to something to something else u put a plus sign to add it hope this helps

what’s the answer? i need it asap please

Answers

Answer:

Step-by-step explanation:

Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!

Answer:

8x+30+4x+18=180

12x+48=180

180-48=12x

132=12x

x=132/12

x=11

What is the GCF of 81 and 180?

Answers

Answer:

Step-by-step explanation:

if there are 45 seats in 9 rows how many seats are in 1 row.

Answers

there should be 5 seats

Answer: Their is 5 seats in 1 row.

Step-by-step explanation: 9x5=45 and 45÷9=5

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