Given:
Two dice are rolled together.
Total number of possible outcomes.
To find:
The list of total possible outcomes.
The probability of getting a sum of 11 in these outcomes.
The probability of getting a sum less than or equal to 4.
The probability of getting a sum of 13 or more.
Solution:
If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3
The probability of getting a sum of 11 in these outcomes is
[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]
[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]
Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].
Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6
The probability of getting a sum less than or equal to 4 is
[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]
[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]
Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].
Sum of 13 or more = empty set because maximum sum is 12.
The probability of getting a sum of 13 or more is
[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]
[tex]P({sum\geq 13})=0[/tex]
Therefore, the probability of getting a sum of 13 or more is 0.
The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?
Answer:
The time the patient expected to survive after diagnosis is 29 years.
Step-by-step explanation:
It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.
That is,
[tex]\mu=15\\\sigma=5[/tex]
An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.
Compute the time the patient expected to survive after diagnosis as follows:
[tex]X=\mu+a\sigma[/tex]
[tex]=15+(2.8\times 5)\\\\=15+14\\\\=29[/tex]
Thus, the time the patient expected to survive after diagnosis is 29 years.
7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
10=(-2)(-2)+b
10=4+b
10-4=b
6=b
Pls halp,due today thank uu
If “a” represents a number on the real number line and the result of “a + b” is located to the left
of a then which of the following must be true about the value of “b”?
(1) b is positive
(2) b is negative
(3) b is zero
(4) b is less than a
Answer:
(2) b is negative
Step-by-step explanation:
If b is negative then the result of a + b would actually be a - b, which is located to the left of a. For answer 1, the number would be located on the right and for 3 the answer would be in the same place. Finally, for answer 4, the number would still be located to the right of a, just a smaller distance than a away.
Write the equation of the line in slope-intercept from (y=Mx+b) given:
A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?
Answer:
[tex]\frac{23}{4}[/tex] feet
Step-by-step explanation:
The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet
= [tex]\frac{5}{2}[/tex] feet
The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet
= [tex]\frac{13}{4}[/tex] feet
The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm
= [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]
= [tex]\frac{10 + 13}{4}[/tex]
= [tex]\frac{23}{4}[/tex]
The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.
RiDDLe oF tHE DaY: In the beginning of the school semester at Wilson Middle there was a murder. There were four suspects, The principal, Gardener, The counselor and the math teacher. The principal said he was in his office. The counselor said she was at the front office with school staff. The gardener said she was trimming bush leaves. The math teacher said he was giving out the end of semester school test. Who is the murder?
Answer:
the gardener
Step-by-step explanation:
it always is lol
Answer:
Math teacher
Step-by-step explanation:
It says he was giving the end of semester school test, and its the beginning of the school semester at Wilson Middle.
Solve for n
(40-2n)divided by 4=8?
Answer:
n = 4
Step-by-step explanation:
(40 - 2n) ÷ 4 = 8
10 - 0.5n = 8
-0.5n = 8 - 10
-0.5n = -2
n = 4
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
the correct answer is n=4
PLEASE HELP QUICK!!!!!
Answer:
C.
That is the closest answer since 8 times 10 6 times gets you 8 million.
Step-by-step explanation:
Answer:
C. 8×10⁶
Step-by-step explanation:
8,406,000 to nearest million is 8,000,000
8,406,000 = 8.406 × 10⁶
8,000,000 = 8 × 10⁶
3. 9x10^4. 4. 5x10^7. Please answer 3 and 4
Answer:
9 times 10 to the power of 4 is equal to 9 times 10,000
Step-by-step explanation:
3) is 4 times greater
4) 7 times greater
Answer:
hvuhbivjkfhigoveriudjkvejrsdvuweduv
Step-by-step explanation:
udsijnvcifudjkbnvueifvbbaeunidsv
;)
solve the question
Answer:
the answer is 402 the 2 lines just make the answer an even number and if its already even nothing happens
Step-by-step explanation:
Answer:
402
Step-by-step explanation:
because if it was negative in those lines, it would turn into a positive but since it is already positive, it stays that way. (if a negative is in there, change to positive/if positive in there, it stays the same)
Two less than seven times a number c is written as
That's your answer .
Please check all that apply.
Answer:
the answers should be the first, third, and fourth ones
Step-by-step explanation:
Answer:
first third fourth
Step-by-step explanation:
I think
i bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle to make my daughters halloween costume. how much yarn did i buy?
Answer:
3 5/24 yards of yarn.
The required yard of yarn purchased is given as 3 5/24 yards.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle.
Total yarn = 1 / 3 + 2 1/4 + 5/8
= 1/3 + 2 + 1/4 + 5/8
= 2 + 1/3 + 1/4 + 5/8
= 2 + [8 + 6 + 15] /24
= 2 + 29/24
= 2 + 1 + 5/24
= 3 5/24 yards of yarn
Thus, the required yard of yarn purchased is given as 3 5/24 yards.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
can someone please help :) i suck at math.
Answer:
c) -11 1/2
Step-by-step explanation:
basically, you work backwards using the inverse operation.
start with -7, subtract 5.25 and you get -12.25, then add .75 (3/4) and you get -11.5 or -11 1/2
999÷128= plz help mee
Answer:
The answer is (7.8046875)
Step-by-step explanation:
Hope this helped
what is the simplest form of 8y-4x=-56 ?
About the only thing you can do with it is divide both sides by 4.
Then you have
2y - x = -14
(−45)(158)(73)(−1)
QUICK
Answer:
If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.
Step-by-step explanation:
Write and evaluate the expression. Then, complete the statements.
six more than the product of nine and a number
Evaluate when q = 6
A 2-column table with 5 rows. Column 1 is labeled Key words with entries six, more than, product, nine, a number. Column 2 is labeled Replace with entries 6, +, times, 9, q.
First, write the expression
6 + 9q
.
Second,
evaluate
6 in for the variable, q.
Third,
simplify
using
order of operations
.
The answer is
.
Answer:
first one is
6+9q
substitute
simplify
order of operations
the answer is 60
Step-by-step explanation:
i got it on edenuity what ever it
hope i helped :)
Solve the equation. Identify any extraneous solutions.
h = sqrt 3h
-3 is a solution of the original equation. 0 is an extraneous solution.
0 and 3 are solutions of the original equation.
3 is a solution of the original equation. 0 is an extraneous solution.
0 is a solution of the original equation. 3 is an extraneous solution.
Answer:
It's the second option:
0 and 3 are both solutions.
Step-by-step explanation:
h = √(3h) Square both sides:
h^2 = 3h
h^2 - 3h = 0
h(h - 3) = 0
h = 0, 3.
If we plug h = 0 into the original equation:
0 = √(3*0) = 0 so this is a root.
x = 3:
3 = √(3*3) = 3 so this is also a root.
Answer:0 and 3 are solutions of the original equation.
Step-by-step explanation:
If you are buying at item at a store for a price of $41, and there is a 5.3% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$53.92
Step-by-step explanation:
x/100=5.3/41
Cross Multiply
41x=530
41x/41=530/41
x=12.92
41+12.92=53.92
Answer: $43.17
Step-by-step explanation:
%53 = 0.053
Percent formula:
a ( 1 + r )
41 (1 + 0.053)
41 (1.053)
43.173
round
The measure of an angle is 108°. What is the measure of a supplementary angle?
Answer:
72 degrees
Step-by-step explanation:
180-108=72
where I got 180: a supplementary angle is 180 degrees
Factor the following trinomial completely. Look first for the greatest common factor.
6r^2+14r−12
Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
Factor [tex]6r^2+14r-12[/tex]
[tex]6r2+14r-12[/tex]
[tex]=2(3r-2)(r+3)[/tex]
Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
[tex]6r^2+14r-12[/tex]
Start by factoring out the greatest common factor, [tex]2[/tex]:
[tex]2(3r^2+7r-6)[/tex]
Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):
[tex]2(3r-2)(r+3)[/tex]
_
To check:
(Multiply First, Outside, Inner, Last):
[tex]2(3r^2+9r-2r-6)[/tex]
Combine like terms:
[tex]2(3r^2+7r-6)[/tex]
Distribute the [tex]2[/tex]:
[tex]6r^2+14r-12[/tex]
2(5x+5) + 9(x-10) + 9-squared
Step-by-step explanation:
We'll use BODMAS to solve this
Open the brackets :
2(5x+5)+9(x-10)+9sq = 10x+10+9x-90+81Then we arrange them accordingly :10x+9x+10-90+81 We then calculate :19x+10-90+81BODMAS :19x+91-90 = 19x+1ANSWER :19x+1An active horse can eat up to 9 pounds of food for every 300 pounds of body weight each day. At this rate, how much does an active horse weight if he eats 36 pounds of food every day pls helpp pls
Answer:
I believe its 1,200 pounds.
Step-by-step explanation:
9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.
Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?
Answer:
personally I believe its 6..
Step-by-step explanation:
10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6
Answer:
$203
Step-by-step explanation:
To find the cost he pays back you need to mulitply 200 x 3% x 6 months.
Because you can't multiply with different units, you convert them to the same unit. (Numeric form)
To convert, we divide 3% by 100 and get 0.03
6 MONTHs is equal to 1/2 of a year which is also 0.5.
Now that all of our numbers are using the same units, we can multiply.
200(0.03)(0.5)
200 x 0.03 is 6
6 x 0.5 is 3.
We need to add the total amount her brother pays her back and the interest.
He pays her $200 for the Tablet and gives her $3 for the interest.
200+3=203.
Point B is located at (0, 2) and is translated to point B' with coordinates (1, -1), which translation did point B undergo? One unit right and three units down One unit right and one unit down Two units right and two units down Three units left and one unit up
Answer:
One unit right and three units down
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is translated a units right and b units up, its new location is at X'(x + a, y + b) while if a point is translated a units left and b units down, its location is X'(x - a, y - b).
Since point B is located at (0, 2) and translates to B' with coordinates (1, -1), the translation is given as (x + 1, y - 3) that is 1 unit right and 3 unit down.
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
Frwinds? XD
Question uh....
65x9
UwU
Answer:
585
Step-by-step explanation:
65 times 9= 585
60 times 9=540
5 times 9=45
540 plus 45= 585
~~~Hope this helps ~~~ :)
Answer:
yws can we be frwinds? `(*>﹏<*)′
Step-by-step explanation:
65x9 = 585
ε=ε=ε=┏(゜ロ゜)┛
What is the slope of this graph?
4
−14
−4
14
Answer:
-4
Step-by-step explanation:
i took the quiz on k12 :)