Step-by-step explanation:
$ 1: 2: 3: 4: 5: 6: 7: 7: in ratio
probability on two dice
1, 2, 3, 4, 5, 6, 7, 7.
The probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Let x be the probability of rolling a 1.
Ratios are 1:2:3:4:5:6
Then,
x + 2x + 3x + 4x +5x + 6x = 1
21x = 1
x = 1/21
The possible combinations of two rolls that total 7 are:
{(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ; (6,1)}
The probability P of rolling a total of $7$ on the two dice is equal to the sum of the probabilities of rolling each combination.
[tex]\rm P = \dfrac{1}{21}\cdot\dfrac{6}{21}+\dfrac{2}{21}\cdot\dfrac{5}{21}+\dfrac{3}{21}\cdot\dfrac{4}{21}+\dfrac{4}{21}\cdot\dfrac{3}{21}+\dfrac{5}{21}\cdot\dfrac{2}{21}+\dfrac{6}{21}\cdot\dfrac{1}{21}\\\\=\dfrac{8}{63}[/tex]
Thus, the probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.
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Find the area of the figure. Round to the nearest TENTH.
Answer:
Step-by-step explanation:
12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.
Answer:
A=L*B
=12*9
=108
A=0.5base *H
=0.5(9)*7
=31.5
A=108+31.5
A=139.5
I’m literally dy!ng pls help
Answer:
Option c, G(x) = 12x
Step-by-step explanation:
Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1
In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.
- f(x) = x by m vertically stretches the graph of f by a factor of m units if
m > 1
- vertically compresses the graph of f by a factor of m units if
0 < m < 1.
This means the larger the absolute value of m, the steeper the slope.
Answer:
Here, the parent should pass through the origin, which is through the coordinate (0,0).
The only function that passes through this (0,0) point and is vertically stretched is only valid is:
y = 12x
Does anyone knows this? I need help. Please explain
Answer:
you can put a point on (0,1) and (-1,0) and put a line through the two points
Step-by-step explanation:
Which graph shows a negative slope and a positive y-intercept?
Answer:
The last one ( bottom left)
Step-by-step explanation:
negative slope means the line is going downwards
positive y intercept means the line hits the y axis on a positive number
Which, if any, of the following are solutions to the equation
y = 3x + -2?
A. (0,2),
B. (1.5)
C. (2,0)
D. (2,3)
E. (3,2)
F. (5,1)
G. None are solutions
Answer:
I think none are solutions
Paul drove for one and a half hours at 65 mph before he realized he had forgotten his wallet. After Paul drove home and grabbed the wallet, he realized that he had only three hours to go one hundred eighty miles. At what speed should he drive to cover the distance in time?
Solve y-8/3=-7 show work
Answer: y = -13
Step-by-step explanation:
Given:
[tex]\displaystyle \frac{y-8}{3} =-7[/tex]
Multiply both sides by 3:
[tex]\displaystyle y-8 = -21[/tex]
Add 8 to both sides:
[tex]\displaystyle y= -13[/tex]
Given equation,
y - 8 / 3 = -7Aim :
To find value of y.Cross multiplying them,
>> y - 8 = -7 × 3
>> y - 8 = -21
Transposing -8 from L.H.S. to R.H.S.,
>> y = -21 + 8
>> y = -13
Therefore :
Value of y is -13.please answer question below asap!
Answer:
36 students.
Step-by-step explanation:
5 + 7 = 12.
So the number of students must be a multiple of 12.
So as the number is between 25 and 43 it must be 36.
Rewrite x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
A. a = 4 and b = 3
B. a = 3 and b = 2
C. a = 2 and b = 1
D. a = 1 and b = 4
Answer:
D. a=1 and b=4
Step-by-step explanation:
x^2-2x+(-2/2)^2 =3+(-2/2)^2
x^2-2x+(-1)^2=3+(-1)^2
x^2-2x +1 =4
(x-1)^2=4
Therefore a=1 and b=4
help pleas for 12 points
Answer:
126 ft²
Step-by-step explanation:
surface area of rectangular prism: 2(LW + HW + WL)
Here Given:
Length: 9 ftWidth: 3 ftHeight:3 ftSurface Area:
2(LW + HW + WL)2(9*3 +3*3 + 9*3)2(27 +9 + 27)2(63)126height= 3 ft
width= 3 ft
length= 9 ft
to find:the surface area of the given prism.
solution:[tex]s.a = 2(hw + wl + hl )[/tex]
[tex]s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)[/tex]
[tex]s.a = 126 \: {ft}^{2} [/tex]
therefore, the surface area of the given prism is 126 square feets.
Solve the inequality 7x - 35 < 2(x – 5)
7x - 35 < 2(x -5)
Use distributive property on the right side:
7x -35 < 2x - 10
Add 35 to both sides:
7x < 2x + 25
Subtract 2x from both sides
5x < 25
Divide both sides by 5
X < 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve the inequality 7x-35<2(x-5)
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
First, use the distributive property on the right-hand side:-
7x-35<2x-10
Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.
Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.
Therefore
7x-35-2x<-10
Combine like terms:-
5x-35<-10
Now add 35 on both sides:-
5x<-10+35
On simplification,
5x<25
Divide by 5 on both sides:-
x<5
So the values of x less than 5 will satisfy this inequality.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
if ABC intersect with Efc what would it be please help!
Answer:
image below
Step-by-step explanation:
According to the box-and-whisker plot shown above, what are the following:
6. The median?
7. The first quartile?
8. The third quartile?
9. The minimum value?
10. The maximum value?
Please help me 6 threw 10 i been asking for help forever i sent in the box
Answer:
median: 80
first q: 60
third q: 100
min: 40
max: 110
Step-by-step explanation:
The median is the middle (piece of data), the middle line in the box. Min is smallest number. Max is biggest number. First quartile is the left side of the box. Third quartile is right side of box.
During normal breathing, about 12% of the air in the
lungs is replaced after one breath. If the initial amount of
air in the lungs is 500 mL, how much of the original air is
present after 8 breaths?
The original air present after 8 breaths will be equal to 179.81 ml.
What is an equation?
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
It is given in the question that:-
During normal breathing, about 12% of the air in the lungs is replaced after one breath
If the initial amount of air in the lungs is 500 mL
how much of the original air is present after 8 breaths?
The calculation for the eduction of the air will be done by the following equation:-
[tex]\rm =Volume \ present\times (0.88)^n\\\\\\= 500\times (0.88)^8[/tex]
=179.88 ml
Hence original air present after 8 breaths will be equal to 179.81 ml.
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Answer:
8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.8 breathes = 179.81 ml.Step-by-step explanation:
Order from least to greatest 7.2 7.04 7.413 7.134
Answer:
7.04, 7.134 ,7.2, 7.413
Step-by-step explanation:
What is the radius of a hemisphere with a volume of 281,250 2.14 cm^3
Answer:
:
Answer:the radius would be 88cm
Step-by-step explanation:
radius. r = base circumference. C = volume. V = curved surface area.
I need help with this math problem brainliest for the best answer
Answer:
It is the first one
Hope this helps!
Answer:
I believe it is 4x+10y=200, x+y=38
Explanation:
A rectangular banner has a perimeter of 192 inches and a length of 60 inches.
What is the width of the banner? please answer!
width= area /length
width= 192/60
Width= 3.2 inches
Answer:
36 is the width.
Step-by-step explanation:
A rectangle has four sides.
So the equation should be:
60+60+?+?= 192.
In order to cancel out the two 60s, you subtract it from 192.
So,
?+?=72.
The sides opposite of a rectangle is congruent, thus,
72/2=36.
The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.
60+60+36+36=192.
Hopefully this helped!
A water tank has a radius 5 feet and height 11 feet. How much water can it hold?
The water tank hold 863.50 [tex]ft^{3}[/tex] of water.
What is Volume of cylinder?
The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.
The water tank is in the shape of cylinder whose radius = 5 feet
and, height= 11 feet
Volume of water tank =[tex]\pi r^{2} h[/tex]
= 3.14 * 5 * 5 * 11
= 3.14*25*11
= 863.50 [tex]ft^{3}[/tex]
Hence the water tank hold 863.50 [tex]ft^{3}[/tex] of water.
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Find the distance between the pair of points. Give an exact answer and an approximation.
(3,4) and (5,11)
Answer: [tex]\displaystyle d=\sqrt{53}[/tex]
Step-by-step explanation:
We will use the distance formula to solve. See attached and view the work below.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(5-3)^2 +(11-4)^2}[/tex]
[tex]\displaystyle d=\sqrt{(2)^2 +(7)^2}[/tex]
[tex]\displaystyle d=\sqrt{4+49}[/tex]
[tex]\displaystyle d=\sqrt{53}[/tex]
Since 53 is prime, this is the simplest form. Since it asks for an exact answer, we are done.
giving the following sequence: 21, 24.5, 28 write an equation for the nth term
Answer:
tₙ = (3.5x + 17.5)
Which one of these numbers is a composite number a.17 b.51 c.97 d.89
Step-by-step explanation:
The correct answer here is 51
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Which one of these numbers is a composite number: 17, 51, 97, or 89?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Composite numbers are divisible by 3 or more numbers.
17 is divisible by 1 and 17 only, so it's not composite.
51 is divisible by 1, 51, 3, and 17, so it's composite.
97 and 89 are divisible by two numbers only, so they are not composite.
So we conclude that the answer is
51
Good luck with your studies.[tex]\rule{300}{1}[/tex]
.......................................................
Answer:
What are we suppose to answer...
Noah bowled 3 games for his bowling team. in the second game, he scored 10 points more than in the first game; in the third game, he scored 10 points more than in the second game. his average score was 230 points for the 3 games. how many points did noah score in the third game?
Answer:
240 points game 3
Step-by-step explanation:
use what is given and put everything in variable terms since this asks for the average, you have to divide by the number of games in the end
156,161,190,165,172,165,184,168,184,149,169,172,172,178,215,180,165,178,178,182,164,184,187,189,190 in order.
Answer:
least to greatest: 149,156,161,164,165,165,165,168,169,172,172,172,178,178,178,180,182,184,184,184,187,189,190,190,215
Greatest to least: 215,190,190,189,187,184,184,184,182,180,178,178,178,172,172,172,169,168,165,165,165,164,161,156,149
Step-by-step explanation:
Use the GCF and the distributive property to write 18 + 45 as a product.
Answer:
(6x9) + (9x1)
Step-by-step explanation:
can someone help me on this question pls and thank you
Answer:
(c) 2205 cm³
Step-by-step explanation:
The volume of the original prism is the product of its dimensions. The volume of one of two identical pieces will be half that.
__
prism volumeV = LWH
V = (21 cm)(21 cm)(10 cm) = 4410 cm³
piece volumeEach piece will have a volume that is half that:
V = 4410 cm³ ÷ 2 = 2205 cm³ . . . volume of each part
Do these sides make a triangle ?
Yes or no
1) 7cm , 11cm , 14cm
2) 10cm , 8cm , 2cm
Answer:
yesnoStep-by-step explanation:
For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.
__
1)7 + 11 = 18 > 14 . . . . Will make a triangle.
__
2)2 + 8 = 10 . . . not greater than 10. Will not make a triangle.
__
This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...
a +b > c and b +c > a and c +a > b
_____
Additional comment
There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.
Given g(x) =(x² +5)/3x find g(p + 4) Please answer with work
Answer:
g(p + 4) = [p² + 8p + 21 / 3p + 12]
Step-by-step explanation:
Function :
g(x) = (x² + 5) / 3x
Substitute x = p + 4 :
⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)
⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]
⇒ g(p + 4) = [p² + 8p + 21 / 3p + 12]
Help me with this. Need to pass my finals
Answer:
90 degree counter clockwise rotation about the origin
reflect across the x-axis
Step-by-step explanation: