Answer:
Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice. If we roll n dice then there are 6n outcomes.
We can also consider the possible sums from rolling several dice. The smallest possible sum occurs when all of the dice are the smallest, or one each. This gives a sum of three when we are rolling three dice. The greatest number on a die is six, which means that the greatest possible sum occurs when all three dice are sixes. The sum of this situation is 18.
When n dice are rolled, the least possible sum is n and the greatest possible sum is 6n.
There is one possible way three dice can total 3
3 ways for 4
6 for 5
10 for 6
15 for 7
21 for 8
25 for 9
27 for 10
27 for 11
25 for 12
21 for 13
15 for 14
10 for 15
6 for 16
3 for 17
1 for 18
A bag contains 55 coins of $1 and ¢50 denominations. Find the number of coins of each denomination, if the total amount in the bag is $40.
Answer:
Number of $1 coins are 25 and number of 50 cent coins are 30.
Step-by-step explanation:
Let's set up the equations.
Let there are x number of $1 coins
There are y number of 50 cent coins
So, x+y =55
1 x+0.50 y =40
Solve the equations for x and y.
Solve the first equation for y.
y=55-x
Substitute y as 55-x into the second equation.
1 x+0.50(55-x)=40
Solve the equation for 'x'.
Distribute the 0.50 to get rid the ( ).
1 x+27.5-0.50 x= 40
Combine like terms
0.50 x +27.5=40
Subtract both sides 27.5
0.50 x =12.5
Divide both sides by 0.50
x=25
Now, plug in x as 25
y=55-25
y=30
So, number of $1 coins are 25 and number of 50 cent coins are 30.
A model train is inches long. Each car in this train is inches in length. How many cars are in the train?
Answer:
5
Step-by-step explanation:
PLEASE HELP ASAP
There are 600 ninth graders. The ratio of boys to girls is 3:2. How many girls are there? How many
boys are there?
Find the area of the shaded region.
I need help! It is confusing, I need a little help
I really need help!!! Thank you!
Answer:
it's A, multiply and see, you get the same answer as in the question
Step-by-step explanation:
Question:
Taylor tried to solve an equation step by step, Fond Taylor’s mistake
Options:
A-step 1
B-step 2
C-step 3
D- Taylor did not make a mistake
(Picture is step by step equations)
Answer:
Step 1
Step-by-step explanation:
7 should have been multiplied by 4.5
What is 67^9 × 487^2 ÷ 976??
Help me PLS :(((
Answer:
The answer would be 6.61121573 x 10^18.
Step-by-step explanation:
46 in = ___ft ___in PLEASE HELP!!
Answer:
Step-by-step explanation:
46 in = 3.83333foot inches is 552 PLEASE HELP!!
14pt = 7 qt but i need the work
The US liquid quart is a unit of fluid volume equal to one fourth of a gallon, two pints, or four cups. The liquid quart should not be confused with the dry quart (US) or the imperial quart, which are different units.
The quart is a US customary unit of volume. Quarts can be abbreviated as qt; for example, 1 quart can be written as 1 qt.
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere? Use 3.14 for Pi.
Answer:
99437
Step-by-step explanation:
Use the sphere formula 4pi r^2.
By the way, can you follow me on Brainly?
Thanks!
Which ordered pair makes both inequalities true?
y>-2x + 3
y
I need help please!!!!!
Filling Out Your 1040
The second page of the 1040 is where you determine how much tax you owe or will be refunded. Use the numbered
icons and your W-2 to help you fill out this form. If any fields don't apply to you, leave them blank.
Answer:
here you go!!!
Step-by-step explanation:
the other answer might not fit your's
Step-by-step explanation:
so here's what I got
will make the brainly help
Answer:
A
E
11.C
12.B
13.E
14.A
15.D
Step-by-step explanation:
Good luck ^^
Question 3 V (t) 30(1.05), where t is the time, in years, since opening the account Connie deposits $30 into an account. The value of the account, in dollars, can be modeled as To the nearest cent, what is the average rate of change in the value of the account for the first 3 years? A $0.63/year B $1.58/year С $3.15/year thing D $4.73/year
Answer:
b
Step-by-step explanation:
The average rate of change in the value of the account for the first 3 years is, $3.15/year. So Option C is correct.
What is the rate?Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.
So formula for the rate is,
m = change in one quantity/change in another quantity = Δy/Δx
The average rate of change in the value of the account for the first 3 years can be calculated as follows:
Let t = 0 be the time when the account is opened,
and t = 3 be the end of the third year.
The value of the account at t = 0 is V(0) = 30,
and the value of the account at t = 3 is
V(3) = 30(1.05)³
The average rate of change in the value of the account over the first 3 years is given by the formula:
⇒ (V(3) - V(0)) / (3 - 0)
⇒ (30(1.05)³ - 30) / 3
⇒ $3.15/year
Hence, the average rate of change in the value of the account over the first 3 years is approximately $3.15/year
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2( x + 7) - (-18 + 4/5)
Answer:
[tex]2x+ \frac{156}{5}[/tex]
Step-by-step explanation
simplify step-by-step.
2(x+7)−(−18+
4
5
)
Distribute the Negative Sign:
=2(x+7)+−1(−18+
4
5
)
=2(x+7)+(−1)(−18)+−1(
4
5
)
=2(x+7)+18+
−4
5
Distribute:
=(2)(x)+(2)(7)+18+
−4
5
=2x+14+18+
−4
5
Combine Like Terms:
=2x+14+18+
−4
5
=(2x)+(14+18+
−4
5
)
=2x+ [tex]\frac{156}{5}[/tex]
Solve for X help pleassee
A group of friends wants to go to the amusement park. They have no more than $415 to spend on parking and admission. Parking is $19, and tickets cost $36 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.
Answer:
p≤11
that's all i got from the delta math thing
|x+2), if x >- 1
Plz plz plz help
Someone please help me
Answer:
Option 3 or Option 4.
Step-by-step explanation:
I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.
On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.
In case you only can answer with one, I'll say is option 3, hope it helps!
help with this please!,
Answer:
-6
Step-by-step explanation:
g(-4) here x = -4
So, we have to take g(x) = x - 2
g(-4) = -4 -2 = - 6
g(1) , here x = 1 ,
So, we have to take g(a)= -x +1
g(-1) = -1 + 1 = 0
g(-4) + g(-1) = -6 +0 = -6
If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields consecutive terms of a geometric sequence. What are the first three terms in the geometric sequence? 3
Given:
[tex]x = 1, y = 7,z = 15[/tex]
A number is added to x, y, and z yields consecutive terms of a geometric sequence.
To find:
The number which is added to x, y, and z, then find the first three terms in the geometric sequence.
Solution:
Let the unknown number be k.
After adding k to x, y, and z, we get
[tex]x = 1+k, y = 7+k,z = 15+k[/tex]
These are the consecutive terms of a geometric sequence. So,
[tex](7+k)^2=(1+k)(15+k)[/tex]
[tex]49+14k+k^2=15+k+15k+k^2[/tex]
[tex]49+14k=15+16k[/tex]
Isolate the variable terms.
[tex]49-15=16k-14k[/tex]
[tex]34=2k[/tex]
[tex]\dfrac{34}{2}=k[/tex]
[tex]17=k[/tex]
The unknown number is 17.
Now,
[tex]x=1+k[/tex]
[tex]x=1+17[/tex]
[tex]x=18[/tex]
Similarly,
[tex]y=7+k[/tex]
[tex]y=7+17[/tex]
[tex]y=24[/tex]
And
[tex]z=15+k[/tex]
[tex]z=15+17[/tex]
[tex]z=32[/tex]
Therefore, the three terms in the geometric sequence are 18, 24, 32.
Find the volume. Answer without units. *
2
4- in
5
3 in
3
16 - in
4
Answer:
the answer is 221.1
Step-by-step explanation:
The volume of the rectangular prism is 221.1 in³.
What is volume?The volume of any object defined the capacity of it, how much it can hold something is called its volume.
Given is rectangular prism, we need to find the volume of the same,
So, we know that the volume of a rectangular prism is the product of its dimensions.
V = length × width × height.
[tex]V = 16\frac{3}{4} \times 4\frac{2}{5} \times 3[/tex]
[tex]V = \frac{67}{4} \times \frac{22}{5} \times 3[/tex]
V = 4422/20
V = 221.1
Hence, the volume of the rectangular prism is 221.1 in³.
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7. Consider the inequality below. PART A: Select all values of x that make the inequality true. *
6x < 42
Answers:
1, 2, 3, 4, 5, and 6
write 1.87 as a fraction.
Answer:
[tex]1\frac{87}{100}[/tex]
Step-by-step explanation:
A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).
In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.
[tex]\frac{187}{100}[/tex]
Simplify, write as a mixed number,
[tex]1\frac{87}{100}[/tex]
5n + 34 = -2(1-7n)
n=
ill mark brainliest and 20 points
Answer:
[tex]n=4[/tex]
Step-by-step explanation:
Expand −2(1−7n): −2+14n
5n+34=−2+14n
Subtract 34 from both sides
5n+34−34=−2+14n−34
Simplify
5n=14n−36
Subtract 14n from both sides
5n−14n=14n−36−14n
Simplify
−9n=−36
Divide both sides by −9
−9n
−9 =
−36
−9
Simplify
n=4
When calculating total wall length, do you include the lengths of windows and doors? Or exclude them?
You calculate wall-length like this.
Measure the length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length. Subtract areas that will not be covered.
Kaylee read 19 1/2 pages in 3/4 of an hour. If she continues reading at the same rate,
how many pages will she read in an hour?
Answer: The answer is 26.
Step-by-step explanation:
Simple, find the unit rate. That's 19.5 / 0.75 = 26.
or using fractions:
19 2/4 divided by 3/4
78/4 divided by 3/4
78 / 3 = 26
4 / 4 = 1
Unit rate = 26books/1 hour
Zeke earned 23 extra credit points. Sofia earned e fewer extra credit points than Zeke. Write
an expression that shows how many extra credit points Sofia earned.
Answer:
s = 23 - e
Step-by-step explanation:
In this expression, s is equal to the amount of extra credit Sofia earns. She earns e less points than the 23 points Zeke earns.
So, s (Sofia's points) = 23 (Zeke's points) - e (the difference in points).
The expression is s = 23 - e.
Good luck ^^
Find the radius of the circle
Answer:
9
Step-by-step explanation:
Ed solved a puzzle 3/4 faster than Brett. Brett solved the puzzle in 135 seconds. How long did it take Ed to solve the puzzle.
Answer:
101.25 seconds.
Step-by-step explanation:
We know that Ed solved the puzzle 3/4 faster than Brett.
Then if Brett solved the puzzle in a time T, Ed solved the puzzle in a time (3/4)*T.
We know that Brett solved the puzzle in 135 seconds, then:
T = 135s
This means that Ed solved the puzzle in:
time = (3/4)*T = (3/4)*135s = 101.25 seconds.