Given:
Nancy decides to roll a dice three times.
To find:
The probability that she will roll all even numbers.
Solution:
If a dice is rolled, then the possible numbers are
Total number = {1,2,3,4,5,6} = 6
Even numbers = {2,4,6} = 3
Odd numbers = {1,3,5} = 3
Probability of getting an even number [tex]=\dfrac{\text{Even number}}{\text{Total numbers}}[/tex]
[tex]P(\text{Even})=\dfrac{3}{6}[/tex]
[tex]P(\text{Even})=\dfrac{1}{2}[/tex]
So, probability of getting all even numbers is
[tex]P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})[/tex]
[tex]P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}[/tex]
[tex]P(\text{All even})=\dfrac{1}{8}[/tex]
Therefore, the required probability is [tex]P(\text{All even})=\dfrac{1}{8}[/tex].
The probability that Nancy will roll all even numbers will be:
"[tex]\frac{1}{8}[/tex]".
ProbabilityAccording to the question,
Number of times dice rolled = 3
Total numbers = {1, 2, 3, 4, 5, 6}
= 3
Even numbers = {2, 4, 6}
= 3
Odd numbers = {1, 3, 5}
= 3
Now,
The probability of getting even numbers will be:
= [tex]\frac{Even \ numbers}{Total \ numbers}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
hence,
The required probability be:
= P(Even) × P(Even) × P(Even)
= [tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}[/tex]
= [tex]\frac{1}{8}[/tex]
Thus the above answer is correct.
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What conclusions can you draw from the distances that you recorded in question 7
Answer:
If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line is a perpendicular bisector of the connecting line segments.
Step-by-step explanation:
Emerson is cutting boards that are 3/4 foot long to make bird houses. How many pieces can he cut from a board that is 9 feet
Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled. Almost-equals30 × 1015 meters Almost-equals3 × 108 meters Almost-equals30 × 108 meters Almost-equals3 × 1015 meters
Answer:
B. Almost-equals3 × 108 meters
Step-by-step explanation:
I just did the assignment:)
Answer:
B
Step-by-step explanation:
Just took the asignment.
A rate of 5 yards per second is equal to how many yards per minute?
Answer:
300 yards per minute
Step-by-step explanation:
60 seconds in a minute 5 yards per second
5x60=300 yards per minute
dot is taller than dab but shorter than dee, and dave is taller than don prove: E is the last letter of the name of the tallest person
Step-by-step explanation:
It starts off by saying Dot is taller than Dab.
Then it says he is shorter the dee.
Then it states that another name dave is taller then don.
We dont necessarily know if dee or dave is the tallest but both of there last names end with E so it proves the question at hand.
1 point
If one person can stand on a 4 square feet floor area, how many persons
can stand on 64 square foot floor area? Which proportion accurately solves
this problem? *
A) 1/4= X/64
B) 1/4= 64/x
C)1/64= 4/x
D)4/64= x/1
Answer:
A) 1/4=X/64
Step-by-step explanation:
It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.
Hope that helps!
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
A. -28.47° latitude and 7.35° longitude
B. -28.47° latitude and -7.35° longitude
C. 28.47° latitude and -7.35° longitude
D. 38.34° latitude and 220.95° longitude
E. -38.34° latitude and 220.95° longitude
Answer:
I think the answer is A
Step-by-step explanation:
Because you add both latitude (22.27+ -6.20) = -28.47 because a negative plus a positive equals a a negative then you add the longitude (114.15 -106.80) = 7.35 so the answer would be
-28.47 latitude and 7.35 longitude.
the answer would be C.)28.47 lat -7.35 long
Ace's brother is 9 years older than three times his age. the sum of their ages is 57 .how old is Chris?
show me your equation and answer
Answer:
3x+9=57; Chris is 16 years old
Step-by-step explanation:
3x+9=57
Move the Constant to the right
3x=57-9
Calculate
3×=48
Divide both sides
x= 16
The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages
Answer:
Noelle: 20 Dad: 54
Step-by-step explanation:
The age of Noelle's Dad is 6 less than 3 times Noelle's age looks like this:
d=3n-6
While the sum of their two ages is 74, looks like this:
n+d=74
The system is:
{d=3n−6
{n+d=74
Now, substitute the first equation into the second equation and solve for n.
n+(3n−6)=74
4n-6=74
Add 6 to both sides
4n=80
Divide both sides by 4
n=20 (<---- Noelle's Age!)
Now plug n into the second equation
d=3(20)-6
d=60-6
d=54 (<---- Noelle's Dad's Age!)
xy given x=3/5 and y= -3/4
Answer:
-9/20
Step-by-step explanation:
xy
Let x=3/5 and y= -3/4
3/5 * -3/4
-9/20
Answer: -9/20
Step-by-step explanation: xy means x times y, so all you need to do is substatute 3/5 in for x and -3/4 in for y multiply numerators times numerators and denominators times denominators.
The maximum speed that an X43A plane can reach is 7,500 miles per hour. At this speed, how many feet
can the X43A travel in 1 second? (1 mile = 5,280 feet)
Answer:
11000 feet/secondsStep-by-step explanation:
This problem requires that we convert from miles per hour to feet per seconds
Given that the speed of the X43A plane is 7500 mph
and that 1 mile = 5,280 feet)
[tex]=\frac{7500miles}{h} *\frac{5280 feet}{mile} \frac{1hour}{3600 seconds} \\\\=\frac{7500*5280}{3600} \\\\=\frac{396*10^5}{3600} \\\\=11000 feet/seconds\\\\=11*10^3feet/seconds\\\\[/tex]
Therefore the speed of the X43A plane in feet per second is 11000
What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?
i have attached a file you can see it from there.
Angad, Caroline and Sarah share some sweets in the ratio 4:2:1. Angad gets 20 sweets. How many sweets are there altogether?
Answer:
35 sweets altogether
Step-by-step explanation:
20÷4=5
5*2=10
9(x +3) = 4x -3 cant figure it out
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]9\left(x+3\right)=4x-3[/tex]
Expand:
[tex]9x+9\times3=4x-3[/tex]
[tex]9x+27=4x-3[/tex]
Subtract 27 from both sides:
[tex]9x+27-27=4x-3-27[/tex]
[tex]9x=4x-30[/tex]
Subtract 4x from both sides:
[tex]9x-4x=4x-30-4x[/tex]
[tex]5x=-30[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{-30}{5}[/tex]
[tex]x=-6[/tex]
A turtle was swimming 2 feet below the surface of a pond. While looking for food, he went
down 7 more feet
What is the position of the turtle now relative to the surface of the pond?
Answer:
-9 feet
Step-by-step explanation:
The turtle was already at -2 feet below sea level, then the turtle went 7 more feet down. Which means that -2 +7 = -9
1/2 of the total dog population in your town is 130 dogs. How many dogs are there in your town?
Answer:
260
Step-by-step explanation:
hope it helps
9) Gabriel took three math tests last semester. He scored a 91 on the first test, a
72 on the second test, and he couldn't remember what he scored on the third
test. When he saw his progress report, he saw that the average score for his
three tests was an 80. What did Carlos score on his third test?
PLEASE ANSWER ASAP I GOT UNTIL 6:30 AND I DONT GET IT
The average of anything can be calculated by adding up all the terms and dividing by the number of terms.
In this case,
the number of terms = 3
x = the missing test score.
(91 + 72 + x) / 3 = 80
Let's multiply both sides by 3
91 + 72 + x = 240
Combine like terms.
163 + x = 240
Subtract 163 from both sides
x = 77
Carlos scored a 77 on his third test.
What does it mean for a function to have a root?
Answer:
Step-by-step explanation:
A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .
Answer:
A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .
Jamie is playing a card gameJamie's score changes by - 12 points for 8 turns in a row. What is the total of jamies score? Plz answer fast
Answer:
-96
Step-by-step explanation:
Assuming that the scores start at 0,
-12 x 8 = -96
Total of Jamies score in card game is -96
Given that;
Each turn score = -12
Number of turn = 8
Find:
Total of Jamies score
Computation:
Total of Jamies score = Each turn score × Number of turn
Total of Jamies score = -12 × 8
Total of Jamies score = -96
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1. Identify the domain of the relation.
{ (2.5). (3. 8), (4, 11). (5. 14)}
Answer:
The domain is 2,3,4,5
Step-by-step explanation:
Domain is the x values of the input values
You have to put the domain numbers in least to greatest format. And separate the number is commas, not braces
The domain is 2,3,4,5
Hope this helps!
simplify to create an equivalent expression-4(z+3)-4(5-4z)
Answer:
12z−32
Step-by-step explanation:
Distribute:
=(−4)(z)+(−4)(3)+(−4)(5)+(−4)(−4z)
=−4z+−12+−20+16z
Combine Like Terms:
=−4z+−12+−20+16z
=(−4z+16z)+(−12+−20)
=12z+−32
Que es un paralelogramo
The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages
What is the degree of the polynomial −6x3y2+5x4−7z?
Answer:
4
Step-by-step explanation:
The degree of a polynomial is a coefficient with the highest power. In the polynomial given, the highest degree (power) is 4.
Best of Luck!
Rachel works 5 days a week and works 7.5 hours on each of the days she works. How many hours does
Rachel work in 3 weeks
Answer: 112.5 hours
Step-by-step explanation:
solve the equation x to the power of 2=10
Answer:
√10,−√10
Step-by-step explanation:
award brainliest
The fifth grade team ordered 5,000 markers for a project. Only 1/10 of the markers have been delivered. How many markers does the team have?
Answer:
500 markers
Step-by-step explanation:
Multiply 5000 by 1/10
[tex]5000*\frac{1}{10} \\\\= \frac{5000}{10}\\[/tex]
Simplify (dividing the numerator and denominator by 10)
[tex]\frac{5000}{10} \\= \frac{500}{1}\\= 500[/tex]
I hope this helped! If it did, a brainliest would be much :)
3x+4=17x-10 what is x
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]3x+4=17x-10[/tex]
Subtract 4 from both sides:
[tex]3x+4-4=17x-10-4[/tex]
[tex]3x=17x-14[/tex]
Subtract 17x from both sides:
[tex]3x-17x=17x-14-17x[/tex]
[tex]-14x=-14[/tex]
Divide both sides by -14:
[tex]\frac{-14x}{-14}=\frac{-14}{-14}[/tex]
[tex]x=1[/tex]
Answer:
1
Step-by-step explanation:
Step 1:
3x + 4 = 17x - 10
Step 2:
4 = 14x + 10
Step 3:
14 = 14x
Answer:
x = 1
Hope This Helps :)
Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B) + n(C)
Answer:
b. psychology drama French chemistry English
The mean of 6 numbers is 3 the median is 6. List the numbers
Answer:
Step-by-step explanation:
We have 6 numbers, the mean is the average of all 6, so adding all 6 numbers together and dividing by 6 will give you 3. Because of this we know the 6 numbers will have to add up to 18.
The median is the middle number, but we have an even number so the median is found by adding the 2 middle numbers and dividing by 2.
Because the mean is low, we can guess the first 2 numbers will be small, so let's try 1.
1 + 1 + _ + _ + _ + _
The remaining 4 numbers will have to add up to 16, and the next 2 numbers need to add up to 12. There would not be any possible combination where this would work. Now we know our first 2 numbers are too big.
Now we try 0.
0 + 0 + _ + _ + _ + _
Now our remaining 4 numbers neet to be 18, but the middle 2 need to add to 12 (so when we divide by 2 we get 6) so 0 is still too big!
-2 + -2 + _ + _ + _ + _
If we try -2 now the next 4 numbers need to add to 22, but that's still not going to work because 22-12 = 10 and the last 2 numbers have to be the same, or larger than the middle 2.
-3 + -3 + _ + _ + _ + _
With -3 then our total of the remaining 4 numbers needs to be 24 and 24-12 = 12 so this could be an option!
Our numbers could be:
-3, -3, 6, 6, 6, 6
Let's check:
-3 + -3 + 6 + 6 + 6 + 6 = 18 18/6 = 3 and our middle 2 numbers are 6 so our median would be 6.
If the numbers all have to be different we can come up with a different solution by making our first 2 numbers smaller.
-9, -5, 5, 7, 9, 11
Let's check
-9 + -5 + 5 + 7 + 9 + 11
-14 + 32 = 18 mean 18/6 = 3 median 5+7 = 12 and 12/2 = 6
So that could also work! There are actually many options that would be correct!
One of the set of numbers whose mean is 3 and median is 6 is 0, 1, 5, 7, 2 and 3.
What is Mean?Mean of a set of numbers is the average value of the numbers. Mean is calculated by taking the sum of the given numbers divided by the total number of numbers.
Let x₁, x₂, x₃, x₄, x₅ and x₆ be the six numbers.
We have mean = 3
⇒ (x₁ + x₂ + x₃ + x₄ + x₅ + x₆) / 6 = 3
⇒ x₁ + x₂ + x₃ + x₄ + x₅ + x₆ = 18
Median is the midpoint of the set of numbers arranged in ascending or descending orders.
If the number of set of numbers are odd, then median is the midpoint of the set and if the number of the set is even, then median is the average of the middle two elements.
Median = 6
Since there are 6 numbers here median = (x₃ + x₄) / 2
(x₃ + x₄) / 2 = 6
(x₃ + x₄) = 12
So x₁ + x₂ + x₅ + x₆ = 18 - 12 = 6
Lets just say x₁ = 0, x₂ = 1, x₅ = 2 and x₆ = 3, the sum of which equals 6.
Now, let x₃ = 5 and x₄ = 7, such that x₃ + x₄ = 12
So one of the set which satisfies the given conditions is x₁, x₂, x₃, x₄, x₅ and x₆ = 0, 1, 5, 7, 2 and 3 respectively.
Hence, one of the list of 6 numbers whose mean equals 3 and median equals 6 is 0, 1, 5, 7, 2 and 3.
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