When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
Answers
Because there are 36 total possibilities, the probability P (sum of 12 OR 5) is 7/36.
What is the definition of probability?It is defined as the ratio of favorable outcomes to total outcomes; in other words, the probability is the number that indicates the likelihood of an event occurring.
Given data;
Total outcomes rolling a pair of dice =6×6=36
Probability obtaining the total of 12 is;
P(A) = 1/36
P(A) = 1/36
P(A) = 1/36
Probability of obtaining the total is less than 5:
P(B)=6/36
the probability of rolling the sum of 12 OR less than 5 is calculated as;
P(sum of 12 OR 5) = 1/36 + 6/36
P= 7/36
Hence,the probability P (sum of 12 OR 5) is 7/36.
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Related Questions
In circle J with the measure of minor arc \stackrel{\Large \frown}{HK}=58^{\circ}, HK ⌢ =58 ∘ , find \text{m} \angle HLK.m∠HLK
Answers
By applying the central angle property, the measure of angle HLK is equal to 29°.
What is the central angle property?The central angle property states that an inscribed angle is equal to half the measure of a central angle that is subtended by the same arc.
This ultimately implies that, a central angle is double (twice) the measure of an inscribed angle that is subtended by the same arc.
By applying the central angle property, we have:
HK = 2m∠HLK
58 = 2m∠HLK
m∠HLK = 58/2
m∠HLK = 29°.
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1. How many ounces of pure salt must be added to 11oz of
40% salt solution to produce a 75% solution? (Pure salt is 100%.)
Round your answer to the nearest hundredth of an oz.
oz.
Answers
To produce a 75% solution, it is required to add a total of 3.85 ounces of pure salt to the initial solution.
How many ounces of salt are there in the initial solution?11 oz = 100x = 40x = 11 x 40 / 100x = 4.4 ozHow many ounces of salt need to be added?4.4 oz = 40x = 75x = 75 x 4.4 / 40x = 8.258.25 - 4.4 = 3.85 ouncesLearn more about ounces in: https://brainly.com/question/26950819
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What is the length of AP?
Answers
Answer: 4) 24
Step-by-step explanation:
Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour.
d) On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home, Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off ad pick up points.
Answers
Answer:
Pick up point is 1.43 km from the school and drop point is 3.57 km from the school ( to the nearest hundredth).
Step-by-step explanation:
School <----------- 5 km ---------------> Home
_______ P _______ D _______
x km y km 5-x-y km
_______
y
_________________
5-x km
D is the point where Peter drops off N and P is the pick point x km from the school where Peter picks up R. He travels back y km to pick up R.
We work in times:
Time = distance / speed
The time that R walks from the school to point P is the same as Peter travels the distance (x + 2y) km, so we have
x/5 = (x + 2y)/20
20x = 5x + 10y
15x - 10y = 0 A
The time that N walks home equals the time that Peter travels y + 5 - x km.
So (y + 5 - x)/20 = (5 - x - y)/5
5y + 25 - 5x = 100 - 20x - 20y
15x + 25y = 75
3x + 5y = 15 B
Solving equation A and B
15x - 10y = 0
3x + 5y = 15
Multiply the second equation by 2:
6x + 10y = 30
Adding this to the first equation
21x = 30
x = 30/21 = 1.4285
So 3(1.4285) + 5y = 15
y = 2.1428
Pick up x = 1.43 km
and the drop is 1.43 + 2.14 = 3,57 km from the school
The mean length of 7 childrens' index finger is 9.4cm. The mean length of 5 adults' index finger is 10.2cm. What is the mean length (rounded to 2 DP) of these 12 people's index finger?
Answers
Answer:
9.73 cm to 2 DP
Step-by-step explanation:
Total of the lengths involved = 7*9.4 + 5*10.2
= 116.8 cm
So the mean of the 12 fingers
= 116.8/12
= 9.73 cm to 2 DP.
. Find the value of x for which ABCD must be a parallelogram.
B
3x
4x - 5
A
D
Answers
Answer:
x = 5
Step-by-step explanation:
make them equal to each other
3x = 4x-5
x = 5
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tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children. If 45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets: How many adults attended the showing
Answers
Taking into account the definition of a system of linear equations, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Amount of adults that attended the showingIn this case, a system of linear equations must be proposed taking into account that:
"x": number of adults attended the Saturday matinee showing."y": number of children attended the Saturday matinee showing.The tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children.
45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets.
So, the system of equations to be solved is
[tex]\left \{ {{x+y=45} \atop {4.50x+2y=162.5}} \right.[/tex]
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "x" from the first equation you get:
x=45 - y
Then, substituting the expression in the second equation you get:
4.50×(45 - y) +2y=162.5
Solving:
4.50×45 - 4.50y +2y=162.5
4.50×45 - 4.50y +2y=162.5
202.5 -2.5y= 162.5
-2.5y= 162.5 -202.5
-2.5y= -40
y= (-40)÷ (-2.5)
y=16
Now, replacing in the expression x=45 - y you get:
x=45 -y
x= 45-16
x= 29
Finally, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.
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how to make a decimal into a fraction
Answers
Answer:
you have to make a fraction into a whole number.
Step-by-step explanation:
Find the three arithmetic means in this sequence.
2, __, __, __, -18
Answers
Answer:
-16 -14 -12
Step-by-step explanation:
This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
y
1
4
2
-5
3
-14
-23
5
-32
O A. The data represent an exponential function because there is a
common ratio of
5
4
OB. The data represent a linear function because there is a common
difference of -9.
OC. The data represent a linear function because there is a common
difference of 9.
OD. The data represent an exponential function because there is a
4
Answers
Answer:
Its a linear function as there is a common difference of -9.
Step-by-step explanation:
x y Difference
1 4
2 -5 -9
3 -14 -9
4 -23 -9
5 -32 -9
For a difference in x of we have a difference in y of -9.
What is the solution to the following
equation?
7x - 20 = -41
-
a). X=-3
b). X=3
Answers
Answer:
A). X = -3
Step-by-step explanation:
Step 1: Add 20 to both sides.
[tex]7x-20+20=-41+20[/tex] [tex]7x=-21[/tex]Step 2: Divide both sides by 7.
[tex]7x/7 = -21/7\\[/tex] [tex]x=-3[/tex]Step 3: Check if solution is correct.
[tex]7(-3)-20=-41[/tex] [tex]-21-20=-41[/tex] [tex]-41=-41[/tex]HELP ASAP THIS IS DO TOMORROW!
Answers
Answer:
The volume of the box is 250cm³
Step-by-step explanation:
V = Length * Width * Height
V = 5cm * 5cm * 10cm
V = 250cm³
The volume of the given box (rectangular prism).
Solution:[tex]V = whl[/tex]
[tex]V = 10 \times 5 \times 5[/tex]
[tex]\large\boxed{\sf{V = 250 \: {cm}^{3}}}[/tex]
Therefore, the volume of the given box (rectangular prism) is 250 cubic centimeters.
i have 1 day to answer this so please help me
Answers
Answer:
The answer is D. Hope this helps :)
Lorenzo increases all the prices on his restaurant menu by 8%
After the increase, the price of lasagne is £9.45
Work out the price of lasagne before the increase.
Answers
Step-by-step explanation:
to add 8% the simplest operation is to multiply the basic amount by 1.08.
so,
£9.45 = original price × 1.08
original price = £9.45/1.08 = £8.75
the price before the increase was £8.75.
math question need helpp
Answers
Answer:
(5^6)/(5^3) = 5^3 or 125
Step-by-step explanation:
^ = raised power
(5^6)/(5^3)
because base (5) is same:
law of indices: n^a ÷ n^d = n^(a-d)
therefore
5^6 ÷ 5^3 = 5^(6-3)
= 5^3 which is 125
I don't have a question but x + 8900 = 390
Answers
Answer:
you did it wrong you have to subtract X from 8900.
First you want to subtract 390 from 8900 and that equals
85103. What is the best description of an isosceles triangle?
a triangle with a right angle
a triangle with all equal sides
a triangle with no equal sides
a triangle with two equal sides
Answers
Answer:
a triangle with two equal sides
Step-by-step explanation:
Please Help I Don't Understand
Answers
Answer:
[tex] \frac{8}{5} = \frac{2}{m - 3} \\ \\ \implies \: 8(m - 3) = 2 \times 5 \\ \\ \implies \: 8m - 24 = 10 \\ \\ \implies \: 8m = 10 + 24 \\ \\ \implies \: 8m = 34 \\ \\ \implies \: m = \frac{34}{8} \\ \\ \implies \: \boxed{m = 4.25}[/tex]
therefore , second option is correct.
hope helpful ~
2) Frank's Auto Zone charges $125 for parts and $75 per hour for labor.
Gracie's Engine Works charges a flat fee of $425 for the same job. Aft
how many hours would the companies charge the same amount?
Mark only one oval.
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
Answers
Answer:
the answer is c 4 hours because it's 75 per hour
A box has a length of 5 feet, width of 4 feet, be a height of 8 inches. what is the volume of the box in cubic inches
Answers
Answer:
160in³
Step-by-step explanation:
V = lwh
V = 5(4)(8)
V = 40(4)
V = 160in³
contsruction workers resurface parts of the N1 highway . they completed 2km per day how many kilometers are completed in total after the first three years
Answers
Answer:
2 190km
Step-by-step explanation:
365×3= 1 095
1 095×2km= 2 190km
Frank worked 48 hours this week. He gets paid $18 per hour for the first 40 hours and then
Gets time-and-a-half (1.5) for the rest of the time. How much money did he make this week
in total?
Answers
Help please thank you!
Answers
Answer:
Here is the answer...hope it helps
a little help!!!!!!!!!!!!!!!
Answers
Answer:
See below ~
Step-by-step explanation:
2. a. Combination (as there is no particular order in which they are selected)
3. b. 5 (As there are 5 letters present)
4. Ways in which the word can be arranged :
13! / (2! x 2! x 2! x 2!)13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 1613 x 12 x 11 x 10 x 9 x 7 x 6 x 5 x 4 x 3 a. 389,188,8005. No. of ways :
17 x 16 x 1517 x 240c. 40806. P (Honda) :
No. of Hondas / Total Cars36/67b. (.5373)Find the value of x in the equation without evaluating the power
Answers
Answer:
See below
Step-by-step explanation:
2 ^(5+x) = 2^8 (because 256 = 2^8)
equate the exponents 5+x = 8 then x = 3
1/3 ^(2+x) = 1 / 3^ 6 (because 729 = 3^6 )
equate the exponents 2+ x = 6 then x = 4
Answer:
a) x = 3
b) x = 4
Step-by-step explanation:
Use the Exponential Power Rule.
[tex]a^x \times a^y = a^{x+y}[/tex]
Also covert the term on the right to the same base as on the left.
If you are allowed to have calculator do [tex]\log_{\text{base}} (\text{number})[/tex] to get the exponent. For example [tex]\log_{2} (256) = 8[/tex], that means [tex]256 = 2^8.[/tex]
Without calculator you can divide with base untill you have it fully factored, then count. For example:
256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1
We had to divide with base two 8 times so 256 = 2⁸.
a)
[tex]2^5 \cdot 2^x = 256\\2^{5+x} = 2^8[/tex]
Now that we have same base we can equate the exponents!
[tex]5 + x = 8\\x = 8 - 5\\x = 3[/tex]
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = \frac{1}{729}\\\\(\frac{1}{3})^{2+x} = \frac{1}{3^6}\\\\(\frac{1}{3})^{2+x} = (\frac{1}{3})^6[/tex]
[tex]2 + x = 6\\x = 6 - 2\\x = 4[/tex]
The quotient of (x4 – 3x2 4x – 3) and (x2 x – 3) is a polynomial. what is the quotient?
Answers
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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If $535 is invested at an interest rate of 7% per year and is compounded continuously how much for the investment be worth in 15 years?
Answers
Answer:
some people an fly high until good bye
Step-by-step explanation:
Answer:
The final balance would be $1,528.84
Step-by-step explanation:
The final balance would be $1,528.84 and the total compound interest would be $993.84
What is the missing number in the table?
x
1
2
3
4
5
y
6
36
216
???
7,776
252
396
864
1,296
Answers
help me please I need it
Answers
Answer:
A
Step-by-step explanation:
The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.
Which algebraic representation shows a reduction? (x, y) → (x - 3, y - 3) (x, y) → (12x, 12y) (x, y) → (-3x, -3y) (x, y) → (-3x, y)
Answers
Answer:
hello!!!!
im pretty sure the answer is (x, y) --> (-3x, -3y)
please read the explanation it always helps!!!
Step-by-step explanation:
reduction most likely means that you are dealing with dilations in geometry....
and that means you will need to multiply both x and y by a negative number.
i hope this helps!!!