you can imagine this as a venn diagram. the "or" event would consist of everything in both sides and the middle of the venn diagram because you can choose form either event x or event y.
the "and" event would consist of everything in the middle of the venn diagram because you choice must be a part of both event x and event y.
the complement of an event is just everything that is not included in the event. for example, in a coin flip, the complement of heads is tails. in a dice roll, the complement of {1,2} is {3,4,5,6}
so if you come across these just think "either or" or "both and." and remember that the complement is everything excluding what is listed.
i apologize if this does not help, im not that great at explaining things
El valor de una potencia será uno si
Answer:
The number stays the same
Step-by-step explanation:
The power of 1 equals the number itself
What is the greatest common factor of 24s3, 12s4, and 18s?
Using Pascal’s Theorem, expand the expression 〖(2x-y)〗^3
Answer:
(2x - y)³ = 8x³ - 12x²y + 6xy² - y³
Step-by-step explanation:
Pascal's Theorem uses a set of already known and easily obtainable numbers in the expansion of expressions. The numbers serve as the coefficients of the terms in the expanded expression.
For the expansion of
(a + b)ⁿ
As long as n is positive real integer, we can obtain the coefficients of the terms of the expansion using the Pascal's triangle.
The coefficient of terms are obtained starting from 1 for n = 0.
- For the next coefficients of terms are 1, 1 for n = 1.
- For n = 2, it is 1, 2, 1
- For n = 3, it is 1, 3, 3, 1
The next terms are obtained from the previous one by writing 1 and summing the terms one by one and ending with 1.
So, for n = 4, we have 1, 1+3, 3+3, 3+1, 1 = 1, 4, 6, 4, 1.
The Pascal's triangle is
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
The terms can also be obtained from using the binomial theorem and writing the terms from ⁿC₀ all through to ⁿCₙ
So, for n = 3, the coefficients are 1, 3, 3, 1
Then the terms are written such that the sum of the powers of the terms is 3 with one of the terms having the powers reducing from n all through to 0, and the other having its powers go from 0 all through to n
So,
(2x - y)³ = [(1)(2x)³(-y)⁰] + [(3)(2x)²(-y)¹] + [(3)(2x)¹(-y)²] + [(1)(2x)⁰(-y)³]
= (1×8x³×1) + (3×4x²×-y) + (3×2x×y²) + (1×1×-y³)
= 8x³ - 12x²y + 6xy² - y³
Hope this Helps!!!
A customer enrolled in a 1-year product purchase plan that costs $60 per month. After 6 months, the customer received a monthly discount of 20%. What is the total amount the customer will pay for the 1-year plan?
Answer:
$432
Step-by-step explanation:
60*6=360
They paid $360 for the first 6 months.
20%*60=.2*60
0.2*60=12
12*6=72
They paid $72 for the last 6 months.
360+72=432
They paid $432
$648 is the total amount the customer will pay for the 1-year plan
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.
After 6 months, the customer received a monthly discount of 20%.
We need to find the total amount the customer will pay for the 1-year plan.
Product Plan = $60 per month
Money he pay for 1 month = $ 60
Money He pay for first 6 month = 6 × 60 = $ 360
after 6 month he receives 20% discount monthly,
So, Now he pay for 1 month = 60 - 20% × 60
=60-20/100×60
=60-12=48
Money he pay for last 6 month = 6 × 48 = 288
Total Money he pay in a year = 360 + 288 = $ 648
Hence, $648 is the total amount the customer will pay for the 1-year plan
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47% of the students in a class of 34 students has glasses or contacts. How many students in the class have either glasses or contacts?
Answer:
16
Step-by-step explanation:
47% is 0.47
34 x 0.47 = 15.98
So a trick question, its either 15 students or 16 students.... I would say 16 students, although the percentage would be 47.05%
16 students either have glasses or contacts.
A 75 lb boy and a 65 lb girl play on a seesaw. The seesaw is 14 ft long and is pivoted exactly in the middle. If the girl sits on the end of her side, where must the boy sit to make the seesaw balance?
Answer: 6 feet from the pivot point
Step-by-step explanation:
Girl's weight x distance from center = Boy's weight x distance from center
65 (7) = 75x
[tex]\dfrac{65(7)}{75}=x[/tex]
6.066 = x
The boy needs to be placed 6 feet from the center (aka pivot point) which is the same as saying 1 foot from the end of the seesaw.
A publisher requires 2∕3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest whole page, how many pages of the magazine are advertisements?
Answer:
[tex]\boxed{13}[/tex] pages
Step-by-step explanation:
Divide the total number of pages by 5 to get how many sets of every 5 pages will contain 2/3 of a page of advertisements.
[tex]\frac{98}{5} = 19.6[/tex]
Multiply this value by [tex]\frac{2}{3}[/tex] to get the total number of pages.
[tex]19.6 * \frac{2}{3} \approxeq 13[/tex] pages
Which inequality has a dashed boundary line when graphed? A y>=3/5x+1 B y>= -1/3x+1 C y>3x+1
Answer: C y>3x+1
Step-by-step explanation:
When we graph an inequality with strictly greater of less than sign ('<' or '>'), then the graph has a dashed boundary line .Further it indicates that it does not include the points on the line.From all the given options , only C contains inequality with '>' sign .
Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.
hence, the correct option is C.
What is y-4= -2(x+7) written in standard form
Answer:
2x + y = -10
Step-by-step explanation:
Simplify −2(x+7)
y−4=−2x−14
Move all terms containing variables to the left side of the equation.
2x+y−4= −14
Move all terms not containing a variable to the right side of the equation.
2x + y = −10
Hope this helps
3) The radius of circle is 11 miles. What is the area of a sector bounded by a
300° arc?
Answer:
[tex] Area = 316.6 mi^2 [/tex]
Step-by-step explanation:
Given:
Angle of arc = 300°
Radius of circle = 11 miles
Take π as 3.14
Required:
Area of the major sector
Solution:
Area of sector is given as: angle of arc/360*πr²
Thus,
[tex] Area = \frac{300}{360}*3.14*11^2 [/tex]
[tex] Area = 316.616667 [/tex]
[tex] Area = 316.6 mi^2 [/tex] (rounded to the nearest tenth)
Please answer the followings: W^mW^n=
Step-by-step explanation:
[tex]W^m=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m}\\\\W^n=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{n}\\\\W^mW^n=\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{m}\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{n}\\\\=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m+n}=W^{m+n}[/tex]
From the following given equation, the answer to W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]
The laws of indices provide us with the rules and principles for simplifying mathematical computations or algebraic expressions that include powers of the same base.
The example of the question given can be solved by using the multiplication rule. The multiplication rule states that we sum up the power of the integers if they have the same base.
From the given information
W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]
Learn more about indices here:
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Write down the first 6 elements of the following sequence (where n ∈ Z +), then give a recursive definition for an. Do not forget the base case. (You do not need to prove it is correct). (a) an = 3n − 10 (b) an = (1 + (−1)n ) n
Step-by-step explanation:
The first six terms for each of the following sequenses are:
(a) a_n = 3n - 10
1. a_1 = -7
2. a_2 = -4
3. a_3 = -1
4. a_4 = 2
5. a_5 = 5
6. a_6 = 8
(b) a_n = (1 + (-1)^n) ^n
1. a_1 = 0
2. a_2 = 4
3. a_3 =0
4. a_4 = 16
5. a_5 = 0
6. a_6 = 32
Is the test below left-, right-, or two-tailed? H0:p=0.39, Ha:p≠0.39 Select the correct answer below: The hypothesis test is two-tailed. The hypothesis test is left-tailed. The hypothesis test is right-tailed.
Answer:
The hypothesis test is a two-tail test
Step-by-step explanation:
The test hypothesis:
Null hypothesis H₀ p = 0,39 or p = p₀
Where p₀ is a nominal proportion (established proportion) and
Alternate hypothesis Hₐ p ≠ 0,39 or p ≠ p₀
Is a two-tail test, (≠) means different, we have to understand that different implies bigger and smaller than something.
For a test to be one tail-test, it is necessary an evaluation only in one sense in relation to the pattern ( in this case the proportion )
2x + y = 17
-4x = 2y - 34
is it no solution
Answer:
(0,8.5)
Step-by-step explanation:
Change 2x+y=17 to 4x+2y=34
Cancel it out with -4x=2y - 34
It would be 4y=0
Transfer it to the first or second equation 2x+0=17
x=17/2 or 8.5
An epidemiologist is observing the decay pattern of a pathogenic bacteria after applying a vaccine. He starts with 2,000 bacteria that decay at a rate of 4.5% per hour. He will check on the bacteria in 36 hours. How many bacteria will he find? Round your answer to the nearest whole number.
Answer:
396
Step-by-step explanation:
If A=p+prt, than t equalls?
Answer:
[tex]\boxed{t=\frac{A-p}{pr}}[/tex]
Step-by-step explanation:
[tex]A=p+prt[/tex]
Subtract p on both sides.
[tex]A-p=p+prt-p[/tex]
[tex]A-p=prt[/tex]
Divide both sides by pr.
[tex]\displaystyle \frac{A-p}{pr} =\frac{prt}{pr}[/tex]
[tex]\displaystyle{\frac{A-p}{pr} =t}[/tex]
Answer:
A=p+prt
=>A/R=2pt
=>A/RT=2p
=>A/RTP=2
=>A/2RP=T
Not Logical.....LollllllFollow meehhhh ⚡❤♥️✨♥️❤❤❤Variables A and B have a covariance of 45, and variables C and D have a covariance of 627. How does the A and B relationship compare to the C and D relationship?
Answer:
variable A and Variable B are more negatively related than variable C and variable D.
Step-by-step explanation:
Variables A and B have a covariance = 45
Variables C and D have a covariance = 627
Comparing the relationship between variable A AND B with the relationship between variable C and D
variable A and Variable B are more negatively related than variable C and variable D. this is because the covariance between variable A and Variable B are less positive
21.65 to 1 decimal place
Answer:
21.7
Step-by-step explanation:
When anything is 5 or above in a decimal place you round up to the next number for example
2.35 this would round up to be 2.4
21.65
Place value of 1 = ones place
Face value of 1 = 1
Note : The face value of a number will not change at all
Hope it helps you..If it's wrong plz say and I'll try to recorrect it :)
Type the slope-intercept equation
of the line that passes through
the points (-1,3) and (2,-3).
y = [? ]x + [ ]
Answer:
y= -2x +1
Step-by-step explanation:
slope- intercept form:
y= mx +c, where m us the gradient and c is the y-intercept.
Let's find the value of m first using the gradient formula.
Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{ - 3 - 3}{2 - ( - 1)} \\ m = \frac{ - 6}{2 + 1} \\ m = \frac{ - 6}{3} \\ m = - 2[/tex]
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -1, y=3,
3= -2(-1) +c
3= 2 +c
c= 3 -2
c= 1
Thus the equation of the line is y= -2x +1.
Need help with Trigonometry!
Answer:
h = 109.9 in
Step-by-step explanation:
The above question can be solved using trigonometric ratio formula,
tan θ = opposite/adjacent
tan θ = tan 70° ≈ 2.7475
opposite = height of lamppost = h in
Adjacent = 40 in
Thus,
[tex] tan 70 = \frac{h}{40} [/tex]
[tex] 2.7475 = \frac{h}{40} [/tex]
Multiply both sides by 40 to solve for h
[tex] 40*2.7475 = h [/tex]
h = 109.9 inches
The height of the lamppost = h = 109.9 inches (to nearest tenth)
HELP ASAP ILL GIVE BRAINLIEST !!! The social studies teacher wants to know whether students in the entire school but for a model of the United Nations activity or student government activity the teacher just a random sample from the following groups all teachers in the school I’ll boys in each grade or students in each grade I’ll send some social studies club which group best represents the population he should take a random sample from to get the best results for his survey
Answer:
Hello There. ☆~---_●₩●__---☆~ The students in each grade, that way it wont focus just on one group like the club, the teachers, or the boys.
Hope It Helps!~ ♡
ItsNobody~ ☆
Use the elimination method to solve the system of equations choose the correct ordered pair x-3y=-23 5x+6y=74
Answer:
( 4, 9 ) is our solution in an ordered pair, as you could also say x = 4, and y = 9
Step-by-step explanation:
So we have the following system of equations at hand ( given directly below ), and want to make it such that each equation is multiplied by a value that makes a common variable, say x, have opposite values of coefficients such that they cancel each other out when the two equations are added, enabling you to solve for the value of the other variable, in this case variable y.
[tex]\begin{bmatrix}x-3y=-23\\ 5x+6y=74\end{bmatrix}[/tex] - Multiply this top equation by -5, so the coefficient of variable x becomes - 5, opposite to the respective x coefficient in the second equation.
[tex]\begin{bmatrix}-5x+15y=115\\ 5x+6y=74\end{bmatrix}[/tex] - Adding the two equations we receive the simplified equation 21y = 189. y = 189 / 21 = 9. If y = 9, x should = - 23 + 3y = - 23 + 3 [tex]*[/tex] 9 = 4. To get this value of x simply isolate the value of x in the first equation given to us, and substitute the known value of y. We have our solution in the form ( 4, 9 ), where x = 4 and y = 9.
Answer:
4,9
Step-by-step explanation:
Maths Problem I can't quite understand. Please could you help? All shown on the picture :) I hope you could help
Answer:
50 1 20
4 10 25
5 100 2
Step-by-step explanation:
Hello,
we can use Dudeney method
[tex]1000 = 2^35^3[/tex]
so we have a =2 and b = 5
the solution is
[tex]ab^2 \ \ 1 \ \ \ \ a^2b\\a^2 \ \ \ ab \ \ \ b^2\\b \ \ \ \ a^2b^2 \ \ a[/tex]
just need to replace a by 2 and b by 5
hope this helps
What is the slope of the line
described by 2x + 3y = 4?
A. 2/3
B. -2/3
C. 3/2
D. 2
E. 3
Answer: B) -2/3
Step-by-step explanation:
First turn this equation into slope-intercept form(y = mx + b), where m is the slope.
2x+3y=4
3y=-2x+4
y=-2/3x+4/3
Thus, the slope is -2/3
Hope it helps <3
Answer:
B. -2/3Step-by-step explanation:
[tex]2x + 3y = 4?\\\mathrm{Slope}\:\mathbf{m}\:\mathrm{of\:a\:line\:of\:the\:form}\:\mathbf{Ax+By=C}\:\mathrm{equals}\:\mathbf{-\frac{A}{B}}\\\mathbf{A}=2,\:\mathbf{B}=3\\m=-\frac{2}{3}[/tex]
Which represents the value of c?
Which is the graph of g(x) = (0.5)x + 3 – 4? On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, negative 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 3. It crosses the y-axis at (0, 3). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 4. It crosses the y-axis at (0, 12).
Answer:
The graph will be an exponential function that crosses the y-axis at about (0, -4).
Step-by-step explanation:
[tex]g(x) = (0.5)^{x + 3} - 4[/tex]
That means that when x = 0...
[tex]g(0) = (0.5)^{0 + 3} - 4[/tex]
[tex]g(0) = (0.5)^{3} - 4[/tex]
[tex]g(0) = 0.125 - 4[/tex]
[tex]g(0) = -3.875[/tex]
So, the graph will be an exponential function that crosses the y-axis at about (0, -4).
Hope this helps!
Answer:
its a
Step-by-step explanation:
i put the equation in desmos and the graph looked exactly like a lol
Find the total surface area of the cone in the figure. ( use rr=3.14.)
Answer:
Answer D
Step-by-step explanation:
The formula is [tex]A = pi r(r+\sqrt{h^2+r^2})[/tex]. We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.
A patrolmen spend 25% of every day completing paperwork. The patrol and shift each day is 8 hourZ how much of his time does he spend doing paperwork each day
Answer:
25 percent of 8 is 2 so 2 hours
Step-by-step explanation:
Can someone Give me the answer?
Answer:
(0,5)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
From the graph, the graphs intersect at x = 0 and y =5
Step-by-step explanation:
I have trouble with these types of questions as well, but hopefully this might help.
Write the following numbers in increasing order: −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2
Answer:
-12,-10,-3,-1.4,-1,0.25,2,5.2,12
Step-by-step explanation:
The following number −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2 in increasing order
-12,-10,-3,-1.4,-1,0.25,2,5.2,12
It's arranged this way starting from the negative sign because positive it's greater than negative and if the negative gets to approach zero it's get smaller
Answer:
-10 ; -3 1/2 ; -1.4 ; -1 ; -1/2 ; 0.25 ; 2 ; 5.2