Answer:
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
Step-by-step explanation:
Step ( i ) :-
Given the two dice are thrown ,The total number of exhaustive cases
n(S) = 6² = 36
Let 'E₁' be the event of getting the sum is odd on two dice
E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}
n(E₁) = 18
Let 'E₂' be the event of getting the sum is multiple of 5 on two dice
E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}
n(E₂) = 7
n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4
Step(ii):-
The probability that the event of getting the sum is odd on two dice
[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]
The probability that the event of getting the sum is multiple of '5' on two dice
[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]
The probability that the event of getting the sum is odd and multiple of '5' on two dice
[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)
= [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]
[tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]
P(E₁∪E₂) = 0.58 = 58%
Final answer:-
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
The probability that the sum is odd or a multiple of 5 is 56 %.
Probability :When two dice are rolled, then
Total number of outcomes is [tex]=6^{2}=36[/tex]
Outcomes for the sum is odd or a multiple of 5 ,
[tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]
Number of favourable outcomes are [tex]=20[/tex]
the probability that the sum is odd or a multiple of 5 is,
[tex]P(E)=\frac{20}{36} =0.56[/tex]
Learn more about the probability here:
https://brainly.com/question/24756209
Factor completely −5x3 + 10x2
Answer:
(2 - x)5x²Step-by-step explanation:
-5x³ + 10x² = 10x² - 5x³ (Commutative property of addition)
= 2×(5x²) - x×(5x²)
= 5x² × (2 - x) (Factor out 5x²)
Answer:
−5x2(x − 2)
Step-by-step explanation:
I took the test
Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What was the length of the trim when she started? Write your answer in yards
Answer:
16.028 yards
Step-by-step explanation:
1 inch=0.0833333 foot
24 inches=0.0833333×24
=1.9999992 foot
The mirror is square shaped and each side is 24 inches
If each 24 inches=1.9999992 foot
Then,
4 sides of 24 inches=1.9999992×24
=47.9999808 foot
Maria has 1 foot of trim left
Total Length of trim when she started=47.9999808+0.0833333
=48.0833141 foot
=16.02777136667 yards
Approximately,
16.028 yards
Use the given information below to find the first 6 terms of a sequence. *
Captionless Image
1. -7, -19, -43, -91, -187, -379,...
2. -1, -7, -19, -43, -91, -187,...
3. -1, -6, -11, -16, -21,...
4, -6, -11, -16, -21, -26,...
Answer:
2. -1, -7, -19, -43, -91, -187,...
Step-by-step explanation:
[tex] \purple{ \bold{a_1 = - 1}}...(given) \\ a_n = 2a_{n - 1} - 5 \\ a_2 = 2a_{1} - 5 = 2( - 1) - 5 = - 2 - 5 = \\ \purple{ \bold{a_2 = - 7}} \\ \\ a_3 = 2a_{2} - 5 = 2( - 7) - 5 = - 14 - 5 \\ \purple{ \bold{a_3 = - 19}} \\ \\ a_4 = 2a_{3} - 5 = 2( - 19) - 5 = - 38 - 5 \\ \purple{ \bold{a_4 = - 43}}\\ \\ a_5 = 2a_{4} - 5 = 2( - 43) - 5 = - 86 - 5 \\ \purple{ \bold{ a_5 = - 91}}\\ \\ a_6 = 2a_{5} - 5 = 2( - 91) - 5 = - 182- 5 \\ \purple{ \bold{a_6 = - 187}}\\ [/tex]
Hence, first six terms of the given sequence are -1, -7, -19, -43, -91, -187,...
Un faro enciende cada 12 segundos, otro cada 18 segundos y un tercero cada minuto. A las 7:30pm los tres coinciden. Averigua a qué hora vuelven a coincidir los 3. (Siga el formato de hora correcto. Por ejemplo: 7:30pm. Sin espacios)
Answer:
7:33 p.m.
Step-by-step explanation:
Para resolver este problema, necesitamos encontrar el mínimo común múltiplo de los intervalos en los cuales se encienden los faros. Para eso necesitamos primero convertir el tiempo que tarda el tercer faro en segundos. Sabemos que cada minuto tiene 60 segundos en total, así que el tercer faro se encenderá cada 60 segundos.
Luego de tener todos los tiempos en segundos, procedemos a escribirlos en una tabla como la siguiente:
12 18 60
La idea es buscar los números primos que todos tengan en común y dividirlos todos entre dichos números primos hasta que ya no podamos dividirlos más, por ejemplo, estos números se pueden dividir todos dentro de 2 así que hacemos eso:
12 18 60 | 2
6 9 30 | 2 dos de estos números nuevos pueden ser dividos entre dos también, así que hacemos justo eso.
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3 ahora todos pueden ser divididos entre 3, así que obtenemos:
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3 uno de estos números se puede dividir entre 3 y obtenemos.
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3
1 1 5 | 5 y finalmente dividimos entre 5 para obtener:
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3
1 1 5 | 5
1 1 1
luego que terminamos la tabla tomamos todos los números que usamos para dividir y los multiplicamos entre si para obtener:
2*2*3*3*5=180s
los tres focos se volverán a prender luego de 180s. Si pasamos los 180s a minutos, tenemos que:
[tex]\frac{180}{60}=3min[/tex]
entonces lo único que tenemos que hacer es sumarle esos 3 minutos a la hora que nos dieron originalmente para obtener:
7:30 + 3 min = 7:33pm
la cual es nuestra respuesta.
what’s the sum of 0.25 and 0.6
the answer is 0.85
because 25 plus 60
is 85
Factor x²−16 completely, SHOW STEPS PLEASE
Answer: (x +4)(x - 4)
Step-by-step explanation: Since x² - 16 represents the difference of two squares, it can be factored as the product of two binomials, one that has a plus in it and one that has a minus in it.
The first position in each binomial is filled by
the factors of x² that are the same, x times x.
The second position in each binomial is filled
by the factors of 16 that are the same, 4 times 4.
The answer therefore is (x + 4)(x - 4).
can someone please help me :)
Answer:
B
Step-by-step explanation:
Need help with this question anybody there
Answer:
Read below
Step-by-step explanation:
I don't know your teacher's name but I know the answer to the other question.
Each additional mile will take a longer time of 2 minutes. Because the miles increase, the time would increase. If you think about it and you work as a pizza deliverer, the time should increase if the number of miles also increases. It's not magic.
WHAT IS 666x666 help me
Answer:
666 x 666 = 443,556
Answer:
443556
Step-by-step explanation:
666 * 666 = 443556
666
x666
-------
443556
Answer this to be called the smartest...... What has 4 lags in the morning, 2 in the afternoon, and 3 at night..?
Answer:
A person
Step-by-step explanation:
I have heard this riddle multiple times, it is very well known and ( in my opinion ) very intriguing;
If we are considering the 4 legs in the morning, we can assume it to be a baby crawling on all 4's. 2 legs in the afternoon represents a more elderly person, a young child or adult on their 2 legs, and 3 in the night models an elderly person, using a walking stick as their " leg "
Answer; In other words, a person has 4 legs in the morning, 2 in the afternoon, and 3 at night
A human is one who has 4 legs in the morning, 2 in the afternoon, and 3 at night.
What is a riddle?
A statement, inquiry, or phrase with a hidden or double sense that is presented as a problem to be answered is called a riddle. A riddle often consists of a topic or a statement with numerous interpretations that must be resolved. Riddles can be humorous brain teasers or wanted-to-think puzzles. It is similar to working to remedy a riddle.
Morning represents a baby. A baby crawling in the morning has four legs and hands included.
An adult represent afternoon walks with two legs and they are the one who have to sand on their own.
An elderly person representing night who walks with the aid of a cane or walking stick is known as "3 legs in the evening." as they might have trouble while walking.
Learn more about riddle, Here:
https://brainly.com/question/478260
#SPJ2
Y = 3x -1 Y = 2x + 3
Answer:
x = 4
y = 11
Step-by-step explanation:
You can make the equations 3x - 1 = 2x + 3
x = 4
y = 11
Need help! Up to 100 points
Link or something. It's has been a nightmare with these questions...
Answer:
Part B
Part 1 describes a quartic function that's been reflected over the x-axis and translated up and to the right. (It's quartic because it has those bumps; it's like a quadratic in that its end behavior is down-down, but it has more bumps than a quadratic.)Part 2 describes an exponential decay function that approaches a horizontal asymptote. (This one looks just like Part 3 in the previous graph.)Part C
You're going to have to do this scatter plot on your own with the given software, because I don't know how your software works, but I can tell you that #1 will look like a quadratic, #2 a cubic, #3 a quartic, #4 a really fun third root that looks like a cubic on the y-axis instead of the x-axis.
Part D
You can look on Worldometer for graphs of the coronavirus; they have graphs in every individual country. I advise using the total cases on a logarithmic scale, because the question specified that it can't be linear.
HELPPP URGENT URGENT HELP PLEASE!
in the diagram below what is the objects surface area?
if you answer this not only you will get hella points you will be considered SUPERIOR and a GOD OF BRAINLY
Answer:
Surface Area = 4928 ft^2
Step-by-step explanation:
Easy way -
First find the area of each face i.e.
56 * 20 = 1120
65 * 20 = 1300
33 * 20 = 660
2 * (1/2 * 56 * 33) = 1848
Total = 4928 ft^2
Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the line of symmetry?
Answer:
see attachement
Step-by-step explanation:
What is the volume of this solid?
A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches.
Recall the formula V = Bh.
280 cubic inches
385 cubic inches
465 cubic inches
560 cubic inches
Answer:
the answer: 280ci
Step-by-step explanation:
:] [:
Answer:
280
Step-by-step explanation:
please help will vote brainliest
Answer:
D
Step-by-step explanation:
Start by factoring out each radical.
[tex]\sqrt{16x^{3}} = \sqrt{16}*\sqrt{x^{3}} = 4\sqrt{x^{3}}[/tex]
[tex]\sqrt{8x} = \sqrt{4} * \sqrt{2x} = 2\sqrt{2x}[/tex]
Add them to get:
[tex]\frac{4\sqrt{x^{3}}}{2\sqrt{2x}} = \frac{4\sqrt{x}\sqrt{x}\sqrt{x}}{2\sqrt{2}\sqrt{x}} = \frac{4\sqrt{x}\sqrt{x}}{2\sqrt{2}} = \frac{2x^{2}}{\sqrt{2}} = \sqrt{2} x^{2}[/tex]
D is the answer
mark has a friend named Chole how different are marks and chole DNA ?
Answer:
xx vrs. xy chromosomes in their genetics
A baker makes muffins that serve one person each. For a party the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people. By what scale factor will the muffin need to be dilated? Round your answer to the nearest tenth.
the muffins are contained in creative paper liners. how many times more paper will be required for the dilated Muffin as for the original. Round your answer to the nearest Tenth
Answer:
100
100
Step-by-step explanation:
1 person to 100 people
The scale factor is 100
The paper fits 1 muffin
now it will have to a muffin 100 times bigger
100 is the scale factor
−36+x<8?
Need help fast :p
Answer:
download my math scanner it's the only math app I know actually works
Four students do not come to school one day. This is of 1/6 the total number of students in the class. How many total students are there in the class?
Answer:
There are 24 students in the class.
Step-by-step explanation:
If four students are 1/6 of the class, you need to multiply 4 times 6 to get 24.
PLEASE HELP!! The cost for parking in the local covered parking lot is calculated by ƒ(h) = 4.5 + 1.5⌈(h - 1)⌉ where h is the number of hours you parked. What is the cost for parking in the garage for 75 minutes?
Answer:
The cost of parking in the garage for 75 minutes is 4.875.
Step-by-step explanation:
The costs of parking h hours is given by the following function:
[tex]f(h) = 4.5 + 1.5(h-1)[/tex]
Cost of parking 75 minutes.
1 hour is 60 minutes. How many hours are 75 minutes?
1h - 60 min
xh - 75 min
[tex]60x = 75[/tex]
[tex]x = \frac{75}{60}[/tex]
[tex]x = 1.25[/tex]
75 minutes is 1.25 hours. So we have to find f(1.25).
[tex]f(1.25) = 4.5 + 1.5*(1.25-1) = 4.875[/tex]
The cost of parking in the garage for 75 minutes is 4.875.
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (-4, 2)
The answer that I got was 7/7
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is y2-y1 / x2-x1. The point (-4,2) could be labeled as x1 and y1, where x1 is -4 and y1 is 2 and the point (3,9) could be labeled as x2 and y2, where x2 is 3 and y2 is 9. So then the equation would be set up as the following: 9-2 / 3--4. Simplified, the equation equals 1, because when you subtract it comes out as 7/7.
Hope this helps :)
If f(x) = 22 + 2x – 10, what is f(-2)?
-16
-10
Answer:
idkfin4infiotnoitrnin
Step-by-step explanation:
bye
Two student fill the fish tank with.The fish hold 4gallon of water the-students each has a measuring cup.How many times do the student need to fill the one cup measured To get 4gallon?
Coach Walker wants to buy equal numbers of footballs and basketballs for her PE class. The footballs cost $9 each, and the basketballs cost $7 each. Coach Walker has $208 for the purchase. How many of each type of ball can she buy?
Answer:
13 footballs and 13 basketballs
Step-by-step explanation:
Let f = footballs
b = basketballs
f=b since we are buying an equal number
9f+7b = 208
Substitute f=b
9f+7f = 208
16f = 208
Divide by 16
16f/16 = 208/16
f=13
We are buying 13 footballs
Since f=b
We are buying 13 basketballs
what’s the answer for this question
A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2
Answer:
[tex]\frac{1}{3}[/tex] chance.
Step-by-step explanation:
The only factors of 6 on a die is 1, 2, 3, and 6
The chance of getting 4 or 5 (not factors of 6) is [tex]\frac{2}{6} =\frac{1}{3}[/tex] chance.
(None of the options you gave is correct)
The probability of getting numbers which is not a factor of 6.
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
To understand more, check below explanation.
Probability :The numbers on die which is factors of 6 is,
1,2,3,6
So that, numbers on die which is not factor of 6 is, 4 and 5.
We have to find probability that the score is not a factor of 6.
Total number of favorable outcomes = 2
Total outcomes = 6
Probability that the score is not a factor of 6,
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
Learn more about the probability here:
https://brainly.com/question/24756209
Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.
Answer:
[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.
So: [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]
Hope this helps :)
Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?
Answer:
She would earn 728 $ in commission
Step-by-step explanation:
I just need some help with my pre-alg :)
Answer:
C
Step-by-step explanation:
Look at the attachment
