If a six-sided die is rolled 5 times, what is the probability of rolling numbers less than 3 ?
Distributions of probabilities help to model our world, allowing us to estimate the likelihood of a said event or to approximate the variability of incidence. It is a common way of describing the probability of an event as well as possibly forecasting it, and the further calculation can be defined as follows:
The possibility of rolling a six on a 6-sided die is [tex]\frac{1}{6}[/tex]. There are
Three 6's are therefore [tex]\binom{1}{6}^3[/tex] likely to roll.
The probability that you don't roll a 6 is [tex]\binom{5}{6}[/tex] and you are not 6 double the record is[tex]\binom{5}{6}^2[/tex].
In 5 tests, there are 10 different ways [tex]\binom{5}{3}=10[/tex] to rolle three 6s.
Then we all have together:
[tex]\to 10 \times \binom{1}{6}^3 \times \binom{5}{6}^2 \approx 0.0322[/tex]
Therefore, the final answer is "0.0322".
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The sum of 2 consecutive integers is -9. find the numbers.
Answer:
-4, -5
Step-by-step explanation:
-4+-5=-9
Given a right triangle, find the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm. (Round to two decimal places.)
The length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
a² + b² = c² (Pythagoras theorem)
where, c is the hypotenuse (longest length) of a triangle.
And a and b are the two other side of the triangle excluding the longest one.
Let x be the length of the missing leg of the given right triangle.
x² + 5² = 13²
x² = 13² - 5²
x² = 169 - 25
x² = 144
x = √144
x = 12
Hence, the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.
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Find X
put step by step please
Answer:
x = 29.7 or 29.69848480
Step-by-step explanation:
Use the formula a² + b² = c²
21² = 441
20² = 400
400 + 441 = 882
√882 = 29.7
You square the number at the end to cancel out the squared number, since both 21 and 20 aren't originally squared.
factorise xsquared - 9
Answer:
( x - 3) (x + 3)
Step-by-step explanation:
by factorizing and putting the formula
out of all the permutations of the letters in the word dog if you chose at random what is the probability that its actually an English word
Answer:
1/3
Step-by-step explanation:
Total letters in DOG=3
All possible permutations=3!=6
Words are DOG,GOD, OGD,ODG,DGO,GDO
Actual English words=2 out of 6
Probability that it is an actual English word=2/6=1/3
I hope it's helpful!
4.35 = a + 3.25 * help
Answer:
4.35 - 3.25= 1.1
A = 1.1
Step-by-step explanation:
a number divided by the sum of 4 and 7
Answer:11
Step-by-step explanation:
Answer:
11/ 4 + 7 = 11/11 = 1?
Step-by-step explanation:
I WILL GIVE BRAINLIEST FOR CORRECT ANSWER. Explain how to use the distributive property to find the product (3) ( 4 1/5 ) .
Answer:
3x4 then you do 3x1/5 because youre distibuting to all numbers in this case multiplecation
Step-by-step explanation:
A library shelf has 6 FICTION for every 2 NON-FICTION books. If 8 NON-FICTION books are counted on the shelf how many FICTION book are their in order to maintain the same ratio?
Answer:
48
Step-by-step explanation:
Answer:
the answer is 24
Step-by-step explanation:
if you cross multiply and divide, 6 multiplied by 8 is 48 and divided by 2 is 24. this can also be seen in ratio from 2:6= 8:24
Ann worked 14 hours and earned a total of $108.50.
How much did she earn per hour?
Answer:
108.50 divided by 14= 7.75
Step-by-step explanation:
hellpp fast please a
Answer:
C. 3x+30
Step-by-step explanation:
5(2x+6)-7x can be rewritten as
10x+30-7x which can be simplified as
3x+30
CAN SOMEONE PLEASE HELP but also draw the graph with the answer so it will be easier for me to understand plzzz !!!
Answer:
do week one first then the next. trust me dont get stressed god didnt get everything done in one day either.
Step-by-step explanation:
Determine if the given point satisfies either equations and is a solution of the system of inequalities
4y-23x _5x-11
The rest see it on the photo
Answer:
(0,0) satisfies 4y - 23x < 9
(0,0) satisfies 5/2y > 5x -11
The point (0,0) is a solution of the system.
Step-by-step explanation:
Points
What conclusion can Ms. Andrews make about the performance of her first- and second-period
classes?
A The first-period class had a higher median score than the second-period class,
B. The second-period class scores had a higher mean than the first-period class scores,
The first-period class scores had a greater range than the second-period class scores,
The second-period class scores had a greater range than the first-period class scores,
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10:29
Answer:
Step-by-step explanation:
Itd be a
Can someone please help me with this? I need it done ASAP! Will mark brainliest. Random answers will be reported.
Answer:
(-5, 8)Step-by-step explanation:
P(4, -3) → P'(-1, 5)Find the difference:
-1 - 4 = -5 for x5 - (-3) = 8 for yThe translation rule is:
(x, y) → (x + (-5)), (y + 8)Answer:
(-5, 8)
Step-by-step explanation:
The ratio of red jellybeans to purple jellybeans is 9:5. What fraction of the jellybeans are red?
PLEASE HELP BEST ANSWER GETS BRAINLEST
Answer:
3.6
bEcause 3x3=9+0.5= 9.5
Pleas helpppp!!!! I need some help rn
Answer: D
Step-by-step explanation: it’s equivalent if u find the first system and then work it out to find the same system (2,-1)
Use the given parallelogram to find the length of side AB. A parallelogram has vertices A B C D. Side A B is labeled x plus 3, and side C D is labeled 2 x minus 6. (1 point) 6 8 9 12
Answer:
c
Step-by-step explanation:
i an smart
a team lost 3 games and won 7 games what was the team's win loss ratio
Answer:
1 to 2.333
Step-by-step explanation:
3/3=1 7/3=2.333 . . .
So I think its (1:2.33) or 1 to 2.33
In an isosceles triangle the base angles are both 32 degrees, find the vertex
Answer:
116 deg
Step-by-step explanation:
note that an isoceles triangle always have 2 base angles that are equal.
Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.
We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:
base angle + base angle + vertex angle = 180°
or,
32° + 32° + x° = 180°
64° + x = 180 deg
x = 180 - 64
x = 116 deg
I really need the answer like ASAP !!
Answer:
D. 7/4
Step-by-step explanation:
A is on the 3/4 line
Since it it would be written as 1 3/4, it needs to be improper
3/4 + 4/4 = 7/4
Answer:
7/4
Step-by-step explanation:
For the top part of the fraction, count as many lines until you get to A: 7
For the bottom part of the fraction, count how many lines between each two numbers: 4
Solve:
p + 6 = 23
A. p = 17
B. p = 14
C. p = 13
D. p = 12
Answer:
A) 17
Step-by-step explanation:
p=23-6
p=17
Hope I helped!
Answer:
A
Step-by-step explanation:
If you rewrote these percents as fractions which one could be written as a whole number over 10? A. 1% B. 5% C.25% D. 40%
Answer:
D. 40%
Step-by-step explanation:
Hi! All you basically need to do in this question is to really think. The tenths placement is what you are looking for.
Let us use money for example. a penny would represent 1%. It needs to be in tenths, 1/10, 2/10, 3/10, and so on to be a whole number. A penny is simplified to be only 1/100. This will not work.
B is 5%. This would represent a nickel. A nickel is simplified to be 1/20. This will not work. C is 25%. This would represent a quarter.
A quarter simplified is 2.5/10... not a whole number.
However 40% is 4/10, making it our answer.
Hope this helps!
8
While at work, Nina checks her email once every 80
minutes. In her 8-hour work shift, how many times
does she check her email?
Answer:
8 i think
Step-by-step explanation:
A customer left a
delivery guy a $3.50
tip.The tip was 20% of
the bill. How much
was the bill?
Answer:
$3.57
Step-by-step explanation:
3.50 x 0.20 = .07
3.50 + .07 = 3.57
The bill was $3.57
Answer:
4.20
Step-by-step explanation:
Tip calculator helps
Fill in the blank with the correct response.
In a standard normal distribution
___% of the data is within 2 standard deviations of the mean.
Answer:
In a standard normal distribution
95% of the data is within 2 standard deviations of the mean.
have a nice day! (^o^)
if you have two whole cakes one round and one square are they both the same.
Answer:
depend if one cake is 25 ounces and the other is 23 they are not the same, just bc one is square and one is circle does not mean they came be the same it just depends on the weight or size ig
How many ways can a committee of 2 be selected from a club with 12 members?
Select one:
a. 132
О O
b. 33
О O
c. 2
d. 66
O
Can some do me a huge favor and help me out with this math question. I suck at math. I’m better at reading. I would be really grateful ❤️
Answer:
192.
Step-by-step explanation:
Since it is length x width x height, I would do 6 x 2 first since that's easier. So, 16 x 12 is 192.