Answer:
1/18
Step-by-step explanation:
Probability of getting a number higher than 4=1/3
Probability of getting 2=1/6
Probability of rolling a number higher than 4 and then a 2=(1/3)*(1/6)=1/18
If k is an integer, what is
k + 1
/2
!
? Why?
If [tex]k\in\mathbb{Z}[/tex] than [tex]k+1\in\mathbb{Z}[/tex] however any [tex]\mathbb{Z}[/tex] divided by 2 is in [tex]\mathbb{Q}[/tex].
But it is not so simple.
If [tex]k[/tex] is odd then [tex]k+1[/tex] is even but when even number is divided by 2, you get an odd number which is in [tex]\mathbb{Z}[/tex].
However if [tex]k[/tex] is even then [tex]k+1[/tex] is odd and when we divide that by 2, you get a number like for example [tex]\frac{5}{2}[/tex] which is not in [tex]\mathbb{Z}[/tex] but rather inside [tex]\mathbb{Q}[/tex]. There are fortunately no irrational numbers.
There is also a problem with zero, zero is neither odd nor even but still an integer. If your [tex]k[/tex] happens to be -1, [tex]k+1=0[/tex], and zero divided by 2 is still just 0 which is in [tex]\mathbb{Z}[/tex].
So to sum up,
If [tex]k[/tex] is odd and not -1, then [tex]\frac{k+1}{2}\in\mathbb{Z}[/tex].
Or to put it in math [tex]\forall k\in\mathrm{odd}-\{-1\}\cup\{0\}\implies\frac{k+1}{2}\in\mathbb{Z}[/tex].
If [tex]k[/tex] is even or -1, then [tex]\frac{k+1}{2}\in\mathbb{Q}[/tex].
Or to put it in math [tex]\forall k\in\mathrm{even}\cup \{-1\}\implies\frac{k+1}{2}\in\mathbb{Q}[/tex].
Notes:
[tex]\mathbb{Z}[/tex] is a set of integers.
[tex]\mathbb{Q}[/tex] is a set of rational numbers.
[tex]\mathbb{Z}\subset\mathbb{Q}[/tex] means integers are a subset of rational numbers, that is, every integer is a also a fraction, however not every fraction is an integer.
Hope this helps :)
In the figure below, which answer choice correctly identifies the name of two rays?
Answer:
plz mark me as brainlist
Step-by-step explanation:
b)JK and KL
Answer:
JK AND KL
Step-by-step explanation:
Lines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.
Simplify 24 ÷ (3 + 2 square)
Answer:
3.42
Step-by-step explanation:
24/7=3.42
Whatis (-5 + 3i) -(4+7i)?
Answer:
-5-4i is your answer.
I hope it will help youSolve for x
ax+bx=10
Answer:
[tex]ax + bx = 10 \\ \\ x(a + b) = 10 \\ \\ x = \frac{10}{a + b} [/tex]
I hope I helped you^_^
Question
If the values of x and y are negative, which of the following values must be positive?
O x2 - y2
O x + y
Ох — у
find the total distance the model airplane
Answer:
1833 miles is the total distance if the model airplane.
100 Points. Need fast!
Answer:
SOH-CAH-TOA
Tan(angle) = Opposite side length/adjacent side lenght
Tan(49 deg) = h/900
Multiply both sides by 900:
900* tan(49deg) = h
Throw it into a calculator
h ≈ 1035.331566
Step-by-step explanation:
How many area codes (ABC) would be possible if all three digits could be any value 3-9
Answer:
Step-by-step explanation:
A glucose molecule is the
smallest type of protein
monomer of starch and cellulose
largest of the carbohydrate polymers
fundamental unit of genetic material
A glucose molecule is the smallest type of protein monomer of starch and cellulose largest of the carbohydrate polymers fundamental unit of genetic material.
A glucose molecule is the monomer of starch and cellulose.
Step-by-step explanation:
Glucose is an organic molecule composed of carbon atoms, oxygen atoms, and hydrogen atoms.It has a molecular formula of [tex]C_6H_{12}O_6[/tex]It is a monosaccharide sugar, carbohydrateAn important source of an energy in living organisms.Glucose gives two different natural polymers named: starch and cellulose. This polymer is formed by linking small units of glucose molecules with each other. And this small unit which repeats in the structure of its polymer is known as a monomer.Glucose in the monomer in its natural polymer that was starch and cellulose.So from this, we can conclude that A glucose molecule is the monomer of starch and cellulose.
Learn more about glucose here:
brainly.com/question/13593795?referrer=searchResults
brainly.com/question/13159416?referrer=searchResults
Find the value of x if 3(4x+3)
Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Sweden and Greece to gain from trade? Check all that apply.
1. In some music, a whole note equals one measure, a quarter note
equals , of one measure, and an eighth note equals of one
measure. If one measure has two quarter notes and an eighth note,
what notes can make up the rest of the measure? Write and solve an
equation.
Answer:
3 eighths are needes to make up the rest of the measure.
Step-by-step explanation:
1/4 + 1/4 + 1/ 8 + x = 1
2/4 + 1/8+x=1
4/8 + 1/8+x=1
5/8 + x=1
x=1 - 5/8
x=3/8
We need three eights.(Because 3/8=1/8+1/8+1/8 and 1/8 represents an eights)
Solve M = 5rt^2- 2rv for v.
Can someone please help with this I’ll put it to 100 points
Answer:
(M-5rt^2)/(-2r) =v
Step-by-step explanation:
M = 5rt^2- 2rv
Subtract 5rt^2 from each side
M-5rt^2 = 5rt^2- 2rv -5rt^2
M-5rt^2 = - 2rv
Divide each side by -2r
(M-5rt^2)/(-2r) =- 2rv / (-2r)
(M-5rt^2)/(-2r) =v
Answer:
[tex]v = -\frac{M-5rt^2}{2r}[/tex]
Step-by-step explanation:
[tex]M = 5rt^2 - 2rv[/tex]
Switch sides
[tex]5rt^2-2rv=M[/tex]
Subtract [tex]5rt^2[/tex] from both sides
[tex]5rt^2 - 2rv-5rt^2= M -5rt^2[/tex]
Simplify
[tex]-2rv = M - 5rt^2[/tex]
Divide both sides by [tex]-2r[/tex]
[tex]\frac{-2rv}{-2r} =\frac{M}{-2r} -\frac{5rt^2}{-2r}[/tex]
Simplify
[tex]-\frac{M-5rt^2}{2r}[/tex]
Which of the following does not represent a proportional relationship?
A. Zoe earns a base salary of $500 plus 3% commission
B. Dane drove 200 miles at a consistent speed for four hours
C. Water leaks from the faucet at a rate of 1/2 of a liter per hour
D. A recipe for biscuits calls for 3 cups of flour and 1 1/2 teaspoons of baking soda
Step-by-step explanation:
the correct aanswer is 3 is correct answermark me bbrainleast plz
Answer:
d is the answer
Step-by-step explanation:
mark me as brilliant
Can anyone help please?
Doug dives from a platform that is 10 meters above water. His dive takes him 3.8 meters below the
surface of the water. How far does Doug's dive take him?
***
Doug's dive takes himmeters.
Answer:
13.8
Step-by-step explanation:
His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.
Dive = platform + under the surface
Dive = 10 + 3.8
Dive = 13.8
Determine whether each is rational or not rational.
pi is not a rational number.
decimals is also not a rational number.
whole number is rational number.
Solve for x: x – 23 = 2
Answer:
X=25
Step-by-step explanation:
This is because X has to be greater than 23. Because you are taking away 35 and the answer is 2, you have to add 23 and 2, and that gives you 25!
If m ABC=122 and m ABD=71 then m DBC =
Answer:
Angle DBC = 51
Step-by-step explanation:
Angle ABC = angle ABD + angle DBC
We are given that angle ABC = 122 and angle ABD = 71
So 122 = 71 + angle DBC
* Solve for angle DBC *
Subtract 71 from both sides
122 - 71 = 71 - 71 + angle DBC
51 = angle DBC
You have 3 fair 6-sided dice. You repeatedly roll all 3 at once, until all 3 of them show thesame number. What is the probability that you have to tryat leasttwice
Answer:
35/36 or about 0.972
Step-by-step explanation:
The probability of rolling the same number
first die 6/6
second die 1/6
third die 1/6
1(1/6)(1/6) = 1/36
so there is a 35/36 chance that you will not get it done on the first roll and need to attempt at least one more time.
what is the answer to this problem (40+35+2(30+25))/5
Answer:
37
Step-by-step explanation:
Answ 925
Step-by-step explanation:
15. A movie is
1 7/8
hours long. After 45 minutes, how much of the movie is left?
Step-by-step explanation:
67.5 minutes of the movie that was left
Express the ratio as a unit rate.
4.5 miles in 25 minutes
Answer:
10 mins
Step-by-step explanation:
This is a fraction equal to
25 minutes ÷ 2.5 4.5
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
25 minutes ÷ 2.5
2.5 4.5 ÷ 2.5
=
10 minutes
1 4.5
=
10 minutes
4.5
= 10 minutes per 4.5
A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.
Answer:
8.5 feet and 7.5 feet.
Step-by-step explanation:
Hope this helps :)
(2x+1)(3x+4)=0
2x+1=0 3x+4=0
Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
(I don’t know what to do next)
Answer:
2x+1=0.
2x=0-1.
2x=-1.
2x/2=-1/2.
x=-2.
3x+4=0
3x=0-4
3x=-4
3x/3=-4/3
[tex]x = 1 \frac{1 }{3} [/tex]
The set of even natural numbers greater than or equal to 6
Answer:
{6, 8, 10, 12, 14, 16, 18, 20, ...}
Step-by-step explanation:
even natural numbers >/= 6.
Thus this has no upper limit and the set is thus infinite.
The set of even natural numbers greater than or equal to 6 is
What are the natural numbers?" The natural numbers are those numbers used for counting and ordering. Numbers used for counting are called cardinal numbers."
We know the natural numbers are:
{1, 2, 3, 4, 5, 6, 7,..........}
Now, the set of even natural numbers are:
{2, 4, 6, 8, 10...........}
Therefore, the set of even natural numbers greater than or equal to 6 is
{6, 8, 10, 12,..............}
Learn more about natural numbers here: https://brainly.com/question/8102087
#SPJ2
Jason surveyed the student athletes at his school as they left the locker
rooms for practice. When selecting from a list of questions, he determined
that he could survey the athletes to determine which sport students in the
school most liked to watch. Which of the following statements is true?
A. Jason is not correct. Since the students are in a small age group, he should go to
a baseball game and survey the spectators there to find the most popular sport
to watch.
B. Jason is correct. This population is best for his question.
C. Jason is not correct. Since sports are played during different seasons, he would
have to conduct his survey over the entire school year to get more accurate
results.
D. Jason is not correct. Since there are other students in the school that watch
sports but do not play them, he should expand his population
Answer:
D
Step-by-step explanation:
I hope thats correct
Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.
Answer:
C is the answer to your question