If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes?
a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7)
b. P(even or odd)
c. P(prime or 1)
Answer: See below
Step-by-step explanation:
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
a) The probability of a multiple of 3 or a multiple of 7 is 40%.
b) The probability of even and odd is 100%.
c) The probability of the number being prime is 45%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
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An Isosceles Triunde
has legs measure
3x^4 - 6x-1 unit.
The Perimeter of the
triangle is
7x^4 - 3x^3-x-6
Find the Base.
Answer:
base = [tex]x^4 - 3x^3+11x-4[/tex]
Step-by-step explanation:
An isosceles triangle has 2 sides of equal length (a) and base (b)
⇒ perimeter of an isosceles = 2a + b
Given:
[tex]\textsf{leg (a)}=3x^4 - 6x-1[/tex] [tex]\textsf{perimeter}=7x^4 - 3x^3-x-6[/tex][tex]\implies \textsf{perimeter}=2a+b[/tex]
[tex]\implies 7x^4 - 3x^3-x-6=2(3x^4 - 6x-1)+b[/tex]
[tex]\implies 7x^4 - 3x^3-x-6=6x^4 - 12x-2+b[/tex]
[tex]\implies x^4 - 3x^3+11x-4=b[/tex]
Therefore, base = [tex]x^4 - 3x^3+11x-4[/tex]
Answer:
Perimeter=sum of sides
Let base be y[tex]\\ \tt\longmapsto 3x^4-6x-1+3x^4-6x-1+y=7x^4-3x^3-x-6[/tex]
[tex]\\ \tt\longmapsto 6x^4-12x-2+y=7x^4-3x^3-x-6[/tex]
[tex]\\ \tt\longmapsto y=x^4-3x^3+11x-4[/tex]
If a disease outcome had odds of 1:1 in a high-risk subgroup, that would mean that the disease outcome would certainly occur (100% probability). True False
explain why the product of one positive factor less than 1 and one factor greater than 1 is between both factors
Answer:
because the force of attraction is greater than one
Two numbers add to 336 and the first is 126 bigger than the five times the second. What are the two numbers?
Answer:
301, 35
Step-by-step explanation:
1st number = x, 2nd = y
x + y = 336
x = 126 + 5y
Then
(126 + 5y) + y = 336
6y = 336 - 126 = 210
y = 210/6 = 35
x = 126 + 5y = 126 + 5*35 = 301
Or x = 336 - 35 = 301
The two numbers are 301 and 35
Please help me with this question
Answer:
8 cm
Step-by-step explanation:
V = 1/3 (Base Area) × h
216cm³ = 1/3(81cm²) × h
216cm³ = 27cm² × h
÷ 27cm ÷ 27cm
8 cm = h
I hope this helps!
Square DEFG with vertices D(0,0).
E(2, 4), F(6,2), and G(4,-2):
k = 5/2
Dilation involves changing the size of a square
The vertices of the image are (0,0), (5,10), (15,5) and (10,-5)
How to determine the image of the squareThe vertices of the square are given as:
D(0,0), E(2, 4), F(6,2), and G(4,-2)
The scale factor (k) is given as:
k = 5/2
So, the image of the square is:
[tex]D' = 5/2 * (0,0) = (0,0)[/tex]
[tex]E' = 5/2 * (2, 4) = (5,10)[/tex]
[tex]F' = 5/2 * (6, 2) = (15,5)[/tex]
[tex]G' = 5/2 * (4,-2) = (10,-5)[/tex]
Hence, the vertices of the image are (0,0), (5,10), (15,5) and (10,-5)
Read more about dilation at:
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Gavin has $20 to spend at an arcade. He spends $8.75 on lunch and plans to use the rest of his money on game tickets. Each game ticket costs $1.25. The inequality 1.25t+8.75 ≤20 can be used to find t, the number of game tickets Gavin can buy. What is the solution to this inequality?
Answer: 9 tickets
Step-by-step explanation: you have to subtract the $8.75 from lunch and then divide it by $1.25 to see the maximum quantity of tickets he can purchase with his remaining money
please answer this question
Answer:
7km
Step-by-step explanation:
[tex] {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km[/tex]
Twenty-three more than three times a number is equal to the difference between -32 and twice the number. Find the number.
Answer:
the answer would be -202
Step-by-step explanation:
since the number your starting with is 23 you would take 23 and × by 3 which gives you 69 then take -32 and subtract that by 69 then what ever you got for that you would multiply it by 2 and then get -202
Find the factored form of the expression.
3x^2 + 300 = 0
The answer needs to be . 3(x − 10 i )(x + 10 i ) can you show the work to get to this?
Answer:
Step-by-step explanation: 3x^2 + 300 = 0
is a monomial expresion.
find four consecutive odd integers such that the sum of twice the smallest and the largest is 11 more than the sum of the middle two integers
Answer:
x+(2+x)+(4+x)+(6+x)= x+12
2x + 6+x = 3x +6
2+ x + 4+x= 2x + 6
2x + 6 + 11 = 3x+6
2x + 17 = 3x +6
3x-2x = 17-6
x = 11
therefore the four consecutive odd integers are
11, 13, 15 and 17
Your friend is having trouble analyzing solutions to linear equations. Create a study guide for your friend and include the following.
Explain what a solution to an equation is.
Provide an example of an equation with exactly one solution. Prove why it has one solution.
Provide an example of an equation with no solution. Prove why it has no solution.
Provide an example of an equation with infinitely many solutions. Prove why it has infinitely many solutions.
Explain the general process for determining whether an equation has one, infinitely many, or no solution.
Answer:
Sana all my jówa haha thanks
Celia will be celebrating her 18th birthday. She plans to purchase coin purses as give away gifts A purse costs 50 pesos. How much will the number of coin purses (n) cost if the total cost i represented by A? Write the rule or equation of the situation and give at least 3 ordered pairs.
PLSSS PATULONG PO
Answer:
Rule: A=50n
Step-by-step explanation:
Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.
Our rule is: A=50n
Then we insert 3 values for n, and solve to get the ordered pairs.
n=3 purses, A=3*50=150 dollars
n=4 purses, A=200 dollars
n=5 purses, A=250 dollars
The ABC Book club charges $40 monthly fee, plus $2 per book read in that month. The east book club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many y books must be read in 1 month for the total charges from each club to be equal
1
2
4
5
6
75
A square box is being cut apart and has the measurement shown below what is the surface area of the box
Answer:
73.5 in^2
Step-by-step explanation:
Box has six sides as represented in the image. Since it is a square, you can multiply the 2 sides to find area of the square. 3.5x3.5=12.25 and since there are 6 sides, 12.25x6=73.5.
Nuka is weaving beaded strips. The double number line shows that they can weave 7 cm of the strip in 4
minutes.
4
+
+
0
Time
A
(minutes)
Length
(cm)
H
0
+ +
7
Based on the ratio shown in the double number line, what length can Nuka weave in 5 minutes?
cm
Report a problem
Number lines are used to represent numbers and ratios using regular intervals
Nuka can weave 8.75 cm of strip in 5 minutes
How to determine the length of stripRepresent the ratio with:
Ratio = Length : Time
From the number line, they can weave 7cm of the strip in 4 minutes.
So, we have:
Ratio = 7cm : 4 minutes
Represent the length of strip made in 5 minutes with x.
So, we have:
x : 5 minutes = 7cm : 4 minutes
Remove the common units
x : 5 = 7cm : 4
Express as fraction
[tex]\frac x5 = \frac 74[/tex]
Divide 7 by 4
[tex]\frac x5 = 1.75[/tex]
Multiply through by 5
[tex]x= 8.75[/tex]
Hence, Nuka can weave 8.75 cm of strip in 5 minutes
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Someone help me please
Answer:
A is 75
B is 15
C is 105
Step-by-step explanation:
90-75=15
B is 15
A and C have a total of 180 degrees
180-75=105
C is 105
180-105=75
A is 75
help!! Please !! Thank you if you help
Given that a:b:c= 20 : 35 : 15, a) simplify a : b:c, b) find a:b,
c) find c:b
Answer:
a) 4:7:3
b) 4:7 / 20:35
c) 3:7 / 15:35
Activity
In this activity, you will first find the cubes of positive and negative numbers and
then find whether the solution to an equation is a perfect cube.
Question 1
Part A
Complete the table by cubing each positive x-value.
PLS HELPPP???!!
Answer:
2 8
3 27
4 64
5 125
6 204
7 343
8 512
9 729
10 1000
PLease hurry! i need it! And the testing thing is happening, so before 6 pm?
Answer:
y = 6
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}-x+3y=9\\y = \dfrac{2}{3}x\end{cases}[/tex]
Step 1: Substitute the second equation into the first and solve for x.
[tex]\\\implies -x+3\left(\dfrac{2}{3}x\right)=9\ \textsf{[ Multiply. ]}\\\\\implies -x+2x=9\ \textsf{[ Combine like terms. ]}\\\\\implies \boxed{x=9}[/tex]
Step 2: Substitute 9 as the value of x in any equation and solve for y.
[tex]\\\implies-9+3y=9\ \textsf{[ Add 9 to both sides. ]}\\\\\implies -9+9+3y=9+9\\\\\implies 3y=18\ \textsf{[ Divide both sides by 3. ]}\\\\\implies \dfrac{3y}{3}=\dfrac{18}{3}\\\\\implies \boxed{y=6}[/tex]
The solution to the given system of equations is (9, 6).
Learn more here:
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How much water should be added to 3 gallons of pure alcohol in order to obtain a solution that is 50% alcohol?
Answer: 3 gallons of water
Step-by-step explanation:
3 gallons of alcohol +3 gallons of water = 6 gallons total
alcohol = 3/6 = 50%
Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial: 4cd -25c^2 -0.16d^2
Answer:
= -(5c - 0.4d)^2
Step-by-step explanation:
4cd - 25c^2 - 0.16d^2
= 4cd - (5c)^2 - (0.4d)^2
= -[(5c)^2 -2*5*0.4cd + (0.4d)^2]
= -[(5c)62 - 2*(5c)*(0.4d) + 0.4d)^2]
= -(5c - 0.4d)^2
V=lxwxh……………………….::::
Answer:
below
Step-by-step explanation:
6x6x3=108
hello help me with this question thanks in advance
need solution
As per questions,
1)Angle SKR = 90° (Diagnols dissecting each other in a Kite forms a right angle)
[Option C]
2)Angle RAT = 32° (Given RAT means that the value is given for the middle alphabet, which means A is 64°. As RAK is half of full angle A, so, 64÷2 )
[Option A]
3)Angle ARS = 116° (180°-64° = 116°)
[Option D]
4)Angle KRS = 58° (We know that ARS is 116°, So, KRS is its half, which means 116÷2)
[Option B]
5)All of the above as all the given sides have 90° angle.
[Option D]
If (-3, y) lies on the graph of y = 3^x, then y =
-1
1/27
-27
Answer:
1/27
Step-by-step explanation:
If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y
They gave us that x is -3 (the first number in an ordered pair is the x).
y = 3^x
y = 3^(-3)
y = 1/(3^3)
**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**
y = 1/27
Because3^3 is 3×3×3 is 27
PLEASE HELP I'LL GIVE ANYTHING
simplify the expression
60m - 15 (4 - 8m) + 20
Answer:
180m-40
Step-by-step explanation:
60m- 60 + 120 +20
=180m-40
180m-40
Step-by-step explanation:
if right please brainliest
Please answer the question in the picture
Answer:
your answer will be (yes = true)
A burrito costs $6.50 at a local restaurant.
Answer the questions below.
Answer:
there is no question you just made a statement