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
9 square root 3 divided by 3 square root 3
Answer:
[tex] \frac{9 \sqrt{3} }{3 \sqrt{3} } = \frac{9}{3} = 3 \\ [/tex]
3 is the right answer.
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
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
what’s the answer? i need it asap please
Answer:
D
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
When you add 98 to a number you usually...
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 is 4 8/9 plus 3 2/11
Answer:
8 7/99, Decimal. (8.07 repeated)
Step-by-step explanation:
The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?
Constant Of Proportionality = ________
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
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.
Answer:
oui
Step-by-step explanation:
oui oui bagutte
if there are 45 seats in 9 rows how many seats are in 1 row.
Answer: Their is 5 seats in 1 row.
Step-by-step explanation: 9x5=45 and 45÷9=5
find the measure of
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
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
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
Read more about circle graphs at:
https://brainly.com/question/796269
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
Which of the following statements is true?
Answer:
B and D
Step-by-step explanation:
Hope this helped :)
PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!
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 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?
need help asap please
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!
Geometry question
What is the formula to find the surface area of a pyramid with a triangle base?
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?
Answer:
p O H = 10.08
Step-by-step explanation:
Answer:
10.08
Step-by-step explanation:
Acellus sucks
Given:
g(x) = 5 – 6x
Find:
g(5)
What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answer:
you can use decimals
Step-by-step explanation:
The scatter graph shows the scores of 16 students on the biology and physics tests
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
given h(x)=-x-3, find h(-6)
Answer:
h(-6) = 3
Step-by-step explanation:
h(x) = -x - 3
h(-6) = -(-6) - 3
h(-6) = 6 - 3
h(-6) = 3
help now plz just help plzzz
Answer:
there is no problem
Step-by-step explanation:
sorry
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 $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
decide whether each function is linear or nonlinear from its graph
Anyone please please answer (30points)
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
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
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
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
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
What is the GCF of 81 and 180?
Answer:
9
Step-by-step explanation:
This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
VA
What is the solution?