Since the dice is fair, each number (1 through 6) has an equal probability of appearing on each roll. The probability of rolling a six on any one roll is 1/6. Hence, 1/6 times of 480 is 80 times.
What is probability ?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.
To find the expected number of times Caroline would roll a six, we can use the formula:
Expected number of occurrences = Probability of occurrence x Number of trials
In this case, the probability of rolling a six is 1/6, and the number of trials is 480. Therefore, the expected number of times Caroline would roll a six is:
Expected number of times = (1/6) x 480 = 80
Therefore, Caroline would expect to roll a six 80 times out of 480 rolls.
Find more on probability:
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Jack has 18 yards of fabric that he wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack create? Come up with two different strategies for solving. (1 yd = 3 ft)
Answer:
54 foot long pieces
Step-by-step explanation:
Jack has 18 yards of fabric that he wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack create? Come up with two different strategies for solving. (1 yd = 3 ft)
Step 1
Convert yards to foot
1 yd = 3 ft
18 yards = x
Cross Multiply
x = 18 × 3 ft
= 54 ft
Step 2
He wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack create?
This is calculated as:
1 foot = 1 piece.
54 feet = x
x = 54 × 1 piece
x = 54 pieces
58 plus what equals 180
Answer:
answer 122.............................
Answer:
180 - 58 = 122 your awser will be 122
I need help with only B pls
Answer:
The population is increasing
Step-by-step explanation:
You can tell that function is increasing from the equation because the rate of change is [tex]\frac{5}{4} = 1.25[/tex]
Since this value is greater than [tex]1[/tex] it indicates that the population is being increased.
plz mark me brainliest. :)
A parallelogram has a perimeter of 5012 inches. The two longer sides of the parallelogram are each 1614 inches.
Write an equation to find the length x of each of the shorter sides.
Answer:
16 1/4 x 2 = 32.5
50 1/2 - 32.5 =18
18 ÷ 2 = 9
Answer 9
The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LMJK:KL:LM is equal to 1:4:4.1:4:4. If JM=45,JM=45, find JL.JL.
Answer: JL = 25
Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.
Suppose first segment JK measures d.
The total ratio is the sum of each part
d + 4d + 4d = 9d
The sum of each part corresponds to the total measure of the line segment. Then:
9d = 45
d = 5
Segment JL is
JL = d + 4d
JL = 5d
JL = 5.5
JL = 25
Segment JL measures 25 units.
3. QRY ≅ JLS Write another valid congruency statement
Congruent triangles have equal corresponding sides lengths and angles
Another valid congruency statement is Triangle RYQ ≅ Triangle LSJ
How to determine the congruency statementThe congruency statement is given as:
Triangle QRY ≅ Triangle JLS
The above means that triangles QRY and JLS are congruent,
So we have the following congruent points
Points Q and J
Points R and L
Points Y and S
So, another valid congruency statement is Triangle RYQ ≅ Triangle LSJ
Read more about congruent triangles at:
https://brainly.com/question/1675117
Show me How much is 1 5/6 as a mixed fraction
Answer:11/6
Step-by-step explanation: hope it helped if it dint tell me what exactly what i need to do and ill do it :)
Answer:
I am not sure what you are asking for
Step-by-step explanation:
1 5/6 already is the mixed fraction, if you meant to put 1 5/6 as an improper fraction your answer would be 11/6.
Or if you possibly meant 15/6 as a mixed fraction your answer would be 2 3/6
If this is not the answer you were looking for, please correct me so I can help you out.
what is the square root of 8
Answer:
2.82842712475
Step-by-step explanation:
√8 = 2.82842712475
Write the equation of the line with slope −1/2 and y-intercept −3.
On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
A senior citizen ticket costs $11, and a child ticket costs $9.
Step-by-step explanation:
Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.
First day:
8s + c = 97
Second day:
6s + 4c = 102
We have a system of 2 equations in 2 unknowns.
8s + c = 97
6s + 4c = 102
We will use the addition method to solve the system.
Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.
-32s - 4c = -388
(+) 6s + 4c = 102
----------------------------
-26s = -286
Divide both sides by -26.
s = 11
Now substitute s with 11 in the first original equation and solve for c.
8s + c = 97
8(11) + c = 97
88 + c = 97
Subtract 88 from both sides.
c = 9
Answer: A senior citizen ticket costs $11, and a child ticket costs $9.
can somebody help me ?
Answer:
Step-by-step explanation:
Basically find the slope first.
(6,1)(9,5)
5-1/9-6
m=4/3
y=mx+b
1=4/3(6)+b
b=-7
y=4/3x-7
find the ratio of the following 1) 25to 35
Answer:
The ratio of 25/35 is
Step-by-step explanation:
25/35
=5/7 (both cut by 5)
So, your answer is 5:7
Answer:
25/35 = 5/7 = 5:7 is the ratio
Step-by-step explanation:
question is in the pic
Scott can you help I am confused... Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from 2.25 to 2.50 per gallon each week. Write a compound inequality to model all of the possibilities amount of money (m) Naviah spends on gas each week.
Answer:
Amount of money Naviah spends each week is ranged from 18 to 30
( 18 ≤ m ≤ 30 )
Step-by-step explanation:
Let Naviah buys gas each week = x gallons
As given,
Naviah buys at least 8 but no more than 12 gallons of gas each week.
⇒8 ≤ x ≤ 12
Now,
Let the price of gas each week = p
As given,
The price of gas ranged from 2.25 to 2.50 per gallon each week.
⇒2.25 ≤ y ≤ 2.50
Now,
Amount of money spend (m) = (Total gas buy)(Price of gas)
= xy
⇒ m = xy
Now,
we have
8 ≤ x ≤ 12 and 2.25 ≤ y ≤ 2.50
Multiply both the inequality , we get
8×2.25 ≤ x.y ≤ 12×2.50
⇒18 ≤ xy ≤ 30
⇒18 ≤ m ≤ 30
∴ we get
Amount of money Naviah spends each week is ranged from 18 to 30.
Create a polynomial that has 10 roots.
Answer:
(x – 3)(x + 5)(x + ½) = (x2 + 2x – 15)(x + ½) = x3 + 2.5x2 – 14x – 7.5
A certain stock opens with a price of
$0.23. Over the first few days the stock
value increases at an average rate of 70%
per day. If this trend continues, how much
will the stock be worth in 14 days?
Answer:$387.27
Step-by-step explanation:
Hope this helps.
Each supply bin has 4 bottles of glue and 3 pairs of scissors. What is the ratio of total supplies to bottles of glue?
Answer:
7 : 4
Step-by-step explanation:
Find the value of x so that function has the given value j(x) = -6x + 2;j(x) = 20
Answer:
-3
Step-by-step explanation:
what divided by 68 equals 7?
Answer:
476
Step-by-step explanation:
because if you do the reverse way its 68 x 7 which is 476 and if your not sure if your answer is right check it by doing 476/68 and see if it equals 7
hope it helps
Answer:
9.174 you can check it by dividing 68 and 9.174 which gives u 7
Step-by-step explanation:
hope this helps
John thinks of a number.
He adds 15 to his number then multiplies by 2. His answer is 32.
What was his number?
Need help again :/
Answer:
1
Step-by-step explanation:
We do the inverse of everything he has done
He multiplied by 2 so we divide
32 ÷ 2 = 16
He adds 15 so we subtract
16 - 15 = 1
To Check
1 + 15 = 16
16 x 2 = 32
Which of the following is a solution of y-x<-3?
(6,2)
(2,6)
(2,-1)
Answer:
2,-1 es la respuesta de -3
Help me plssssss I need help
please help.............
Answer:
Step-by-step explanation:
Multiply the y in the binomial by every term in the trinomial. Repeat this for the 3, and sum them all up
[tex](y+3)(y^2+8y-2)\\y^3+8y^2-2y+3y^2+24y-6\\y^3+11y^2+22y-6[/tex]
Answer:
No
Step-by-step explanation:
Why should anyone help you when all you do is steal points
Jon invested a total of $1500 in two
simple interest accounts. Account A
earns 4% interest and Account B earns
6%. Jon earned a total of $80 interest
after one year. How much did Jon invest
in each account?
A $500 in A, $1000 in B
B $750 in A, $750 in B
C $1000 in A, $500 in B
D $1400 in A, $100 in B
Answer:
the answer is A.
Step-by-step explanation:
Multiply.
−3/7xy(−35x^3y^2)
Enter your answer in the box.
Answer:
[3] / [(245)(x^4) (y^3)]
Step-by-step explanation:
anyone know the answer?
Answer:
C. 3x + 5
Step-by-step explanation:
Go to m a t h w a y . c o m (with no spaces, wont let me post without) trust me, this will save u in math
please show working
Answer:
234 cm²
Step-by-step explanation:
area = (base*height) / 2 = (52*9) / 2 = 234
The diameter of a circle measures 22 yd. What is the circumference of the circle?
Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
69.08 yd
Step-by-step explanation:
Please help me... Thanks :)
When a number is doubled and then added to 24 , the result is 49 . Find the number .
treat people with kindness ♡
Answer:
5
Step-by-step explanation:
reasoning: first I subtracted 24 by 49 which is 25
btw: ( I hope the meaning double means squared)
25 square root is 5
5x5=25
pls give brainliest
correct me if im wrong.
Answer:
5
Step-by-step explanation:
All u have to do is divide the numbers
Hope this helped lol
Please help, I don't understand this. (please no fake answers)
19.4 units
Since we know 2l+2w equals the perimeter we can input what we know for l and w.
2*6.2 + 2*3.5
12.4 + 7
19.4 units