If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 5.
The probability is
Answers
=====================================================
Explanation:
Refer to the dice chart below. It represents all possible ways to roll two dice and sum up the face values.
According to the table, there are...
A = 1 copy of the sum "2"B = 2 copies of the sum "3"C = 3 copies of the sum "4"D = 4 copies of the sum "5"There are A+B+C+D = 1+2+3+4 = 10 instances where we get a sum between 2 and 5. The table shows 6*6 = 36 sums total. This means there are 36-10 = 26 sums where they are between 6 and 12, aka "the sum being greater than 5".
Those 26 sums are what we focus on. Out of those 26 items, four of them are sums of "9".
The probability we want is therefore 4/26 = 2/13
The probability that the sum of the dice is 9, given that the sum is greater than 5 is 0.154
See attachment for the sample space of a roll of two dice.
From the attached sample space,
The number of sum greater than 5 is: 26The number of sum greater than 5 that is 9 is: 6Represent the events that a sum is greater than 5 with A, and a sum is greater than 5 is 9 with B.
So, we have:
[tex]n(A) = 26[/tex]
[tex]n(A\ n\ B) = 4[/tex]
The probability that the sum of the dice is 9, given that the sum is greater than 5 is then calculated using:
[tex]Pr = \frac{n(A\ n\ B)}{n(A)}[/tex]
This gives
[tex]Pr = \frac{4}{26}[/tex]
[tex]Pr = 0.154[/tex]
Hence, the probability is 0.154
Read more about probability at:
https://brainly.com/question/251701
Related Questions
Please any math experts help thanks you
Answers
Answer:
[tex]\frac{p^2-25}{p^2-10p+25}[/tex]
We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]
-----------------------------
[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]
Now we can factorise the denominator:
[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]
[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]
Cancel out the common factor of (p-5):
[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]
Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
Answers
Answer:
Below in bold.
Step-by-step explanation:
The length of the side opposite to theta:
= √(24^2-21^2)
= √(24-21)(24+21)
= √(135)
= 3√15.
sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.
cos theta = 21/ 24 = 7/8. sec theta = 8/7.
tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.
PLS ILL GIVE BRAINLIEST!!!!
Answers
Answeryawa ka
Step-by-step explanation:
If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?
A. 9
B. 7
C. 13
D. 2
Answers
Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
O In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality
O In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
O The process is exactly the same for solving the equation and solving the inequality
O The process for solving the equation is entirely different from solving the inequality.
Answers
you would use elimination to solve.
Pahelp yawa T^T[tex]{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{5pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎︎︎︎︎︎ ︎︎︎︎︎︎︎︎[/tex]
pasagut 6-7 lang T^T
sabog na akow HAHAH
Answers
6-7
y < -1 -4
x > -4 y ≥+ 2
hope it helps
wait Lang SA 6-7
Answer:
ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok
Is X=7 an oblique Line?
Answers
Answer:
no
Step-by-step explanation:
Generally oblique is used to describe the relationship between 2 lines, but only 1 is given. Oblique means slanted to a degree other than a multiple of 90°, usually in reference to the other line.
x = 7 is a vertical line, and that is exactly 90°, -90°, or even 270° or -270° depending on how you look at it, so it is not oblique on its own.
Answer:
x = 7 is not an oblique line.
Step-by-step explanation:
x = 7 is the standard equation for a vertical line, x = a, with an undefined slope. Vertical lines do not have horizontal change. Hence, its line will not be oblique (or slanted).
The equations in slope-intercept form (y = mx + b), standard form (Ax + By = C), and point-slope form [y - y₁ = m(x - x₁)] will most likely represent an oblique line, as long as its slope (m) ≠ 0. A line with a zero slope is a horizontal line (which is also not an oblique line).
Therefore, x = 7 is not an oblique line, but rather a vertical line.
Plz help!! Given: DE is a midsegment of ABC. Show all work.
Find the value of x and y.
And What is the length of AC? !Please show all work!
Incase photo is blurry
AE-y+6
EC-x-3
DE-x+2
BC-24
Answers
Answer:
AC=14
X=10
Y=1
Hoped this helped!
Step-by-step explanation:
DE is half of BC, therefore x=10. AE and EC have to be the same length, which is 7. SO, y=1 and x is 10.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with
the same number of each fruit in each basket. What is the greatest number of fruit
baskets he can make? How many of each type of fruit will be in the baskets?
Answers
Answer:
3 baskets and 6 oranges, 9 pears, 4 bananas
Step-by-step explanation:
the common denominator is 3
Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answers
Answer:
Sam is NOT correctStep-by-step explanation:
Let's find the diagonal measures using Pythagorean and compare:
[tex]SQ=\sqrt{12^2+6^2} =\sqrt{4*6^2+6^2} =\sqrt{5*6^2} =6\sqrt{5}[/tex]and
[tex]OM=\sqrt{6^2+6^2} =\sqrt{2*6^2} =6\sqrt{2}[/tex]Find the ratio of diagonals:
SQ / OM = √5 / √2 ≠ 2Estimate each product 11.9×21=
Answers
Answer:
249.9
uhm.. correct me if im wrong
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
Answers
To study the effects of a medication on migraines, every 10th adult from an alphabetized list of patients who suffer from migraines were selected. Then, the sample was surveyed about the number of migraines they have each month. The names of the 50 adults selected were written on equal sized tiles, placed in a bag, and mixed well. The people with names on the first 25 tiles selected were given the migraine medication. The remaining 25 people were given a placebo. After six months, all patients were surveyed again about the number of migraines they had each month. The change in the mean number of migraines between the two groups was compared. Which of the following is the best description of the randomization approach? random selection random assignment both random selection and random assignment neither random selection nor random assignment
Answers
Answer:
Random Assignment
Step-by-step explanation:
fred bags groceries at Wegman's. on average he fills 21 bags for every three customers what IS FREDS AVERAGE RATE OF CHANGE
Answers
Answer:
The rate of change will be the number of bags Fred fills for 1 customer.
Write a ratio.
21 : 3
x : 1
To solve for x, cross multiply.
3x : 21
Divide both sides by 3.
x = 7
Fred’s average rate of change is 7 bags.
:)
The cost of 2 bunches of
roses and 5 bunches of
carnations is £45.
The cost of 3 bunches of
roses and 4 bunches of
carnations is £50.
Find the cost of one bunch of each
Answers
Answer:
vtdOveractivity of the pituitary gland is called hyperpituitarism. Several disorders related to an overactive pituitary gland can occur.
...
Symptoms may include:
Nervousness.Rapid or irregular heartbeat.Weight loss.Fatigue.Muscular weakness.
Which number replaces the question mark? 19 11 11 ? 12
Answers
Answer:
i think 12
Step-by-step explanation:
Answer:
4 + 3 + 2 = 9
Step-by-step explanation:
You have to add all the numbers in the cube.
These are the following ones.
19 = 4 + 8 + 7
11 = 2 + 8 + 1
11 = 5 + 5 + 1
4 + 3 + 2 = 9
12 = 2 + 7 + 3
please what is measurement BAC
Answers
Answer:
54 degrees? I'm not an expert, but judging by the pic, I would say 54 degrees.
A box has 10 red, 5 blue and 5 yellow balls. Draw 6 balls one by one with replacement. Then calculate the probability that
Answers
Answer:
I would say its a 16.5 %
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is 4cm longer than either of its legs note that an isosceles right triangle is a right triangle who’s legs are the same length find the exact length of its legs and it’s hypotenuse
Legs ? Cm
Hypotenuse? Cm
Answers
Answer:
Step-by-step explanation:
let the side of triangle=x
hypotenuse=x+4
(x+4)^2=x^2+x^2
x^2+8x+16=2x^2
x^2-8x-16=0
x²-8x=16
x²-8x+16=16+16=32
(x-4)²=16×2=(4√2)²
x-4=±4√2
x=4±4√2
either x=4+4√2=4(1+√2)
or x=4-4√2=-4(√2-1)<0 (rejected)
leg x=4(1+√2)≈4(1+1.414)≈4×2.414≈8.828≈8.83 cm
hypotenuse≈8.83+4=12.83 cm
help me plz im desperate
Answers
Answer:
B) y = 2x - 3
Step-by-step explanation:
We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.
For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).
So, that's our answer. If you need more help, let me know! :)
Answer: B
Step-by-step explanation:
The slope is 2 as it shown rise (2) over run (1)
Y-intercept is -3
What is the solution to the system of equations? y=−2x−64x−y=−36 (−15, 24) (−7, 8) (−5, 4) I don't know.
Answers
Answer:
Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).
A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]
Given the following system of equations:
[tex]y=-2x-64[/tex] ...equation 1.
[tex]x-y=-36[/tex] ...equation 2.
To find a solution to the given system of equations, we would use the substitution method:
First of all, we would make x the subject of formula in equation 2.
[tex]x=-36+y[/tex] ...equation 3.
Substituting eqn. 3 into eqn. 1, we have:
[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]
For the value of x:
[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]
Read more: https://brainly.com/question/14413983
what is pulmonary function
Answers
Answer:
pulmonary function is the blood or gas flow from or to the lungs
Step-by-step explanation:
the lungs take in oxygen and take out c02
The lungs' main role is to bring in air from the atmosphere and pass oxygen into the bloodstream. From there, it circulates to the rest of the body. Help is required from structures outside of the lungs in order to breathe properly.
Please help me answer this question!!!
Answers
Answer:
B
Step-by-step explanation:
<STR = <SRT Given the markings of the triangle
<STR + <STU = 180 Supplementary angles
(2x - 9) + 7x = 180 Remove the brackets
2x - 9 + 7x = 180 Combine
9x - 9 = 180 Add 9 to both sides
9x = 180 + 9 Combine
9x = 189 Divide by 9
9x/9 = 189/9
x = 21
find the amount of money Khairul had initially
Answers
Answer
Find the amount of money Khairul had initially
money with Khairul initially = 6x = 6(60) = 360
Step-by-step explanation:
For a particular event, 808 tickets were sold for a total of $3110. If students paid $3 per ticket and no student paid $5 per ticket. How many students tickets were sold?
Answers
Evaluate the line integral, where C is the given curve. z2 dx x2 dy y2 dz, C C is the line segment from (1, 0, 0) to (5, 1, 2)
Answers
I assume the integral is supposed to be
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz[/tex]
Parameterize C by
[tex](x(t),y(t),z(t)) = (1-t)(1,0,0) + t(5,1,2) = (1+4t, t, 2t)[/tex]
with 0 ≤ t ≤ 1, and dx = 4 dt, dy = dt, and dz = 2 dt. Then the line integral is
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1 (2t)^2(4\,dt) + (1+4t)^2\,dt + t^2(2\,dt)[/tex]
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1(1+8t+34t^2)\,dt[/tex]
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = 1+4+\frac{34}3 = \boxed{\frac{49}3}[/tex]
Can someone help me please I will mark u brilliant
Answers
Answer:
6.333... is greater
Step-by-step explanation:
6.3 is larger than 6.2
Answer:
6.33333
Step-by-step explanation:
6.29
6.33333
The 3 is greater than the 2.
Hope this helps :)
Use properties to evaluate 1/3 (-15 ÷ 1/2 ) 1/4?
A. - 5/2
B. 5/8
C. - 5/8
D. 5/2
Answers
see the attachment for explanation
hope it helps[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{\dfrac{1}{3}(-15 \div \dfrac{1}{2})(\dfrac{1}{4})}\\\\\mathbf{= \dfrac{1}{3}(-15\div 0.5)(0.25)}\\\\\mathbf{= \dfrac{1}{3}(-30)(0.25)}\\\\\mathbf{= -10(0.25)}\\\\\mathbf{= \boxed{\bf -\dfrac{5}{2}}\approx -2.5}\\\\\\\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{Option\ A. -\dfrac{5}{2}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\bf{Amphitrite1040:)}[/tex]
brainiest to whoever correct
Answers
Answer:
y = 138
Step-by-step explanation:
90 + 4x + 3x + 6 = 180
96 + 7x = 180
7x = 84
x = 12
———
3(12) + 6
36 + 6
42
———
180 - 42 = 138
Help help math math help help
Answers
Answer:no they are not
Step-by-step explanation:
As all angles are 60∘ each and given all sides are equal then it can be said as congruent.
Answer:
no
Step-by-step explanation: