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:

a)

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

angle
1. Classify the following triangles according to their (1) sides and (ii) angles,
(fig 1) A=8cm b=5cm c=8cm​

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

The given sides of a triangle are 8 cm, 5 cm and 8 cm.

We need to say that the type of triangle.

The two sides of a triangle are same i.e. 8 cm and the other side is 5 cm.

Such type of triangle in which two sides are equal, the triangle is isosceles. Here, two sides are 8 cm and the third one is 5 cm. It means the triangle is an isosceles triangle.

Convert 3 weeks to hours. Use a lable.

Answers

Answer: 504 hours.

Step-by-step explanation: I am assuming it says, use a table not a lable.

Well, I can't make a table, so I will tell you where to put everything in a table.

We start with placing one day, one day is 24 hours. One day goes on the top, 24 hours goes on the bottom. Then, we know there are 7 days in a week, so we jump ahead, we multiply 24 by 7 and 1 by 7.

24 x 7 = 168 and 1 x 7 = 7

So for every week, it is 168 hours. Now we need to find three weeks. So we multiply 7 x 3 to get the days. which is 21. Now we need to multiply the hours by  the 3 weeks. So we multiply 168 by 3 which is 504.

So 504 hours are in 3 weeks.

The organizer of a conference is selecting workshops to include. She will select from 4 workshops about genetics and 7 workshops about ethics. In how many ways can she select 6 workshops if 2 or fewer must be about genetics?

Answers

What can u explain this in a different way cuz what does this mean

the ratio of boys to girls in a class is 4:5 what frqction if the class are boys ​

Answers

Answer:

4/9 to 5/9

Step-by-step explanation:

So, out of every 9 students, 4 are boys. Therefore, 4/9 of the students are boys. The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls.

PLEASE HELP ASAP!!!!

Answers

A and B are polynomial. E,D,C are not because polynomial can’t have a negative exponents, or a division by a variable.

Use the distributive property to multiply.

-(-16m-1)

Answers

Answer:

16m+1

Step-by-step explanation:

Knowing about our proprieties about parentheses and negatives, let's solve this out.

A negative multiplied by a negative give you a positive

therefore....

-(-16m-1)= 16m+1

The -1 also receives the negative because the problem was in a parentheses :)

what is
14/24 plus 10/36

Answers

Answer:

31/ 36

Step-by-step explanation:

21 + 10/ 36

= 31/ 36

hope it helps!

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

the correct answer would be A

Pls help due by 12:00 I’ll brainlest

Answers

Answer: 7n - (4n -3)

Step-by-step explanation:

What is 151% of 70.Please explain how u did it.

Answers

Answer:105.7

Step-by-step explanation: 1.51 times 70

Answer:

[tex]151\% \: of \: 70 \\ \frac{151}{100} \times 70 \\ \boxed{105.7}[/tex]

105.7 is the right answer.

what is the distance from eric bus stop to school

Answers

Answer:

what

Step-by-step explanation:

We need the Math things tho lol

Which distance is greater 2000m or 1km 571m

Answers

Answer: 2000m

Step-by-step explanation:

1km = 1000 m

1000 + 571 = 1571m

2000m > 1571m

what is the answer to 3(x-4)=12 in simplest form ?

Answers

62 because lollolollololk

Answer:

x = 8

Step-by-step explanation:

You distribute the 3 to x and -4.

[tex]3x-12=12[/tex]

You add 12 to both sides.

[tex]3x=24[/tex]

Then you divide by three on both sides.

[tex]\frac{3x}{3}=\frac{24}{3}\\[/tex]

[tex]x=8[/tex]

the quotient of r with a devisor of 3

Answers

Answer:

r/3

Step-by-step explanation:

cuz of simple maths

Hey please help me answer this and explain your answer :)

Will give brainlst.

Answers

Answer:

B for banana

Step-by-step explanation:

Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sushil get?

Answers

Answer:

15

Step-by-step explanation:

Fiona (F) = Sushi (S)

Malachy (M) = 7 Fiona (F)

M = F + 90

F + 90 = 7F

6F = 90

F (Fiona) = 15

S (Sushi) = 15

check: Malachy (M) = 15 * 7 = 105

M-F = 105 - 15 = 90

PLEASE ANSWER ASASP!
4(c -3) = 8
what is c?

Answers

Answer:

c=5

hope it helps....,

Answer: c=5

Step-by-step explanation:

4(c -3) = 8

4c - 12 =8

4c = 20

c = 5

Solve for the missing side to the nearest tenth.
16
30
X =

Answers

Answer: x=32

Step-by-step explanation:

Because a triangle is 180°, the missing angle in the triangle would be 60°.

Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.

F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x−32

Answers

Answer:

f(x)=1/2x+4.

Step-by-step explanation:

slopes of (6,1) and (8,-4)​

Answers

Answer:

-5/2

Step-by-step explanation:

Follow eqaution y2-y1/X2-x1

Solve for x: 24x + 12 = 16

Answers

Answer:

x=1/6 or x=0.1666666667

Step-by-step explanation:

13 less than the product of a number and 6 is 5

Answers

Answer: Excuse me, what do you mean "and 6 is 5?"

Step-by-step explanation:

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,200. Assume that the standard deviation is $1,200. (a) What is the z-score for a backyard structure costing $2,300

Answers

Answer:

-0.75

Step-by-step explanation:

To get the z score we have to use this formula

Z = X-mean/standard deviation

X = 2300

Mean = 3200

The standard deviation = 1200

When we plug these values into the z formula above, we have:

2300-3200/1200

= -900/1200

= -0.75

the z-score for a backyard structure costing $2,300 is therefore -0.75

Consider f(x)=7x^2+8/x−6. Complete the following statements.

As x→∞, f(x)→

As x→−∞, f(x)→

As x→6+, f(x)→

As x→6−, f(x)→

Answers

Answer:

A

Step-by-step explanation:

Iwis

HELLO!! HELP ME WITH THIS QUESTION PLEASE

Answers

Answer:

2x-2(8)

2x-16

Step-by-step explanation:

By using the distributive property, you will get 2x-2(8).

Then simply the expression, which you would get 2x-16.

You have 7 cups of raisins. A recipe calls for 2/3
cup of raisins per serving. How many full servings can you make?

Answers

Answer:

10 servings

Step-by-step explanation

7 cups is equal to 21/3 cups. Since 21 isnt divisible by 2, you have to round down to the nearest divisible number, which would be 20. 20/2 is 10, so 10 is the answer.

Need help please!!! it’s important

Answers

Answer:

4/D a reflection fallowed by a rotation.

sorry if I am wrong

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!


Answers

Answer:

the green line

Step-by-step explanation:

its closest to the point

Hi there! The answer would be the green line and the dark blue line which is f(x)=2x+3 and h(x)=-2x+2.

Step By Step:

So you need to figure out the line for (2,-2).

This means that you would have to find a line that is between them which is the correct answer.

Well it can’t be orange since that it didn’t touch it and so can it not be red. So we have two answers left to choose from.

The last two pairs we have left would be the answer since they’re nothing touching the point for (2,-2).

This means that it would be D, dark blue and orange, or we can say f(x)=2x+3 and h(x)=-2x+2.

Miley can walk 5 1/2 miles and 1 2/3 hours how far can she walk in four hours?

Answers

Answer:

Miley can walk a distance of [tex]13\frac{1}{5}[/tex] miles in four hours.

Step-by-step explanation:

Given that:

Distance walked by Miley in [tex]1\frac{2}{3}[/tex] hours = [tex]5\frac{1}{2}[/tex] miles

We will find unit rate in term of hours.

[tex]\frac{5}{3}\ hours = \frac{11}{2}\ miles[/tex]

Multiplying both sides by 3/5

[tex]\frac{3}{5}*\frac{5}{3}\ hour = \frac{11}{2}*\frac{3}{5}\\\\Unit\ rate = \frac{33}{10}\miles\ per\ hour[/tex]

Distance walked in four hours = [tex]4*\frac{33}{10}\ miles[/tex]

Distance walked in 4 hours = [tex]\frac{66}{5}=13\frac{1}{5}\ miles[/tex]

Hence,

Miley can walk a distance of [tex]13\frac{1}{5}[/tex] miles in four hours.

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