Answer:
a.) [tex]\frac{1}{6}[/tex]
b.) [tex]\frac{3}{15}[/tex]
c.) [tex]\frac{27}{36}[/tex]
Step-by-step explanation:
Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability
of it landing on any number between [1-6] is equi- probable
(i.e., [tex]\frac{1}{6}[/tex]).
To find - (a) Find the probability that doubles are rolled.
(b) Given that the roll results in a sum of 6 or less, and
the conditional probability that doubles are rolled.
(c) Find the probability that the larger of the two die's outcomes
is at least 4.
Proof -
As given , two fair 6-sided dice is rolled.
The sample space is as follows :
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total number of outcomes = 36
a.)
Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }
Total number of possible outcomes = 6
So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]
b.)
Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}
Now,
Total outcomes = 15
Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )
So, Probability = [tex]\frac{3}{15}[/tex]
c.)
Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total possible outcomes = 27
So, Probability = [tex]\frac{27}{36}[/tex]
Translate triangle HIK 4 units to the right and 1 unit up.
What are the coordinates of the vertices of the image?
A. H’(-10, 3), I’(-11, -6), and K’(-4, -7)
B. H’(6, 3), I’(-6, -11), and K’(-7, 5)
C. H’(10, 3), I’(11, -6), and K’(5, -7)
D. H’(-3, 10), I’(-6, 11), and K’(-7, -5)
Answer:
C. H'(10, 3 ), I(-11, -6), and K' (5, -7)
Step-by-step explanation:
Rigth on edge
How many tens are in the number 639
Answer:
63 tens are in 639 are in that number
Answer:
There are 63 full tens in 639.
Step-by-step explanation:
639÷10=63.9
Hope this helps! :)
In FGH, the measure of H=90°, HF = 91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Answer:
28.8 degrees (rounded)
Step-by-step explanation:
you need to use tan^-1 in order to find x. tan is opposite side / adjacent side.
so...
tan^-1[tex]^[/tex](50/91) = 28.78661831
Answer:
Its 29
Step-by-step explanation:
I did the detla math
туре or Movie
Number or
Students
36
Horror
Drama
26
Comedy
30
Sci-Fi
28
Based on the data in the table, what is the probability that a random
Answer: 3/4, because the probability of renting a comedy is 1/4
================================================================
Explanation:
We have 36+26+30+28 = 120 students. 30 of which rented a comedy.
The probability of renting a comedy is 30/120 = (30*1)/(30*4) = 1/4
The probability of not renting a comedy is 1 - (1/4) = 4/4 - 1/4 = (4-1)/4 = 3/4.
Or you could say that 1/4 = 0.25, so 1-0.25 = 0.75 which converts to the fraction 3/4.
If you had 4 people and 1 of them rents a comedy, then the other 3 hasn't rented a comedy.
I need help please?!!!!
Answer:
A
Step-by-step explanation:
the relationship between x and y is constant; 5/3
Answer:
the answer is A because x and y are constants
Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the angle measure of the cake that was left?
Answer:120°
Step-by-step explanation:
Given
cake is cut into 12 equal pieces
We know the top view of cake is similar to circle .
So, if a circle is divided into 12 equal parts then
each part subtend an angle of
∅ = 360/12 = 30%
If 8 slices were eaten , then 4 slices are remaining
These 4 slices measure subtend equal angle at the center therefore
4 slice measure a total of 4 × ∅
➡️ 4 x 30°
➡️ 120°
how to find the interest for a 2% interest rate loan of $3000 for 1 year, BUT instead of the 2% in the example, switch it to 3% interest on a $3500 loan.
Answer: See Explanation
Step-by-step explanation:
Simple interest is calculated as:
= principal × rate × time.
The interest for a 2% interest rate loan of $3000 for 1 year will be:
= principal × rate × time.
= $3000 × 2% × 1
= $3000 × 2/100 × 1
= $3000 × 0.02 × 1
= $60
The interest for a 3% interest rate loan of $3500 for 1 year will be:
= principal × rate × time.
= $3500 × 3% × 1
= $3500 × 3/100 × 1
= $3500 × 0.03 × 1
= $105
A serving of cereal is 2/3 cup. There are 12 cups in the box. How many
servings of cereal are in the box?
Answer:
A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.
Step-by-step explanation:
There are 18 servings of cereal in the box.
To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.
Given:
Serving size: 2/3 cup
Total cups in the box: 12 cups
To find the number of servings, we divide the total cups by the serving size:
12 cups ÷ (2/3 cup)
= 12 cups × (3/2)
= 36/2
= 18 servings
Therefore, there are 18 servings of cereal in the box.
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Find the x and y intercepts for the following equation. 4x - 2y = 16
Answer:
( 4, 0 ) and ( 0,-8 )
Step-by-step explanation:
→ Rearrange into y = mx + c format
4x - 2y = 16
→ Minus 4x from both sides
-2y = -4x + 16
→ Divide everything by 2
-y = -2x + 8
→ Multiply everything by -1
y = 2x - 8
→ Substitute x = 0 to find the y-intercept and y = 0 to find the x intercept
x = 0 then y = -8 so ( 0,-8 )
y = 0 then x = 4 so ( 4, 0 )
Five less than 3 times a number b is greater than the opposite of 8.

Answer:
6 9 4 .....digsigsigishs
Convert Decimal to Percent
0.89 =
0.54 =
0.76 =
0.33 =
0.53 =
0.12 =
Answer:
0.89 = 89
0.54 = 54
0.76 = 76
0.33 = 33
0 . 53 = 53
.0.12 = 12
Quadrilateral DEFG has vertices at D(3,4) E(8,6) F(9,9) G(4,7). Prove that DGEF is a parallelogram
Name where u from
age
favorite food
Answer:
im am Santiago i am from Brazil, i live in a favela, i play soccer in the jungle and the beach with the monkeys, i speak brazilian.
Step-by-step explanation:
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
5 times a number is 14 less than the square of that number. Find the negative solution.
Answer:
x=-2
Step-by-step explanation:
5x=x^2 - 14
x^2-5x-14=0
(x-7)(x+2)=0
x=7,-2
Yolanda made $192 for 12 hours of work. At the same rate, how many hours would she have to work to make $272?
Answer:
17 hours
take $192 and divide it by 12 so you know how much they make per hour
$192 / 12 = 16
then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)
$272 / 16 = 17
Which is the correct form of the partial fraction decomposition for StartFraction x + 9 Over x squared minus 4 EndFraction?
Answer:
for the first question B
For the second question B C and D
Step-by-step explanation:
Fart
a bottle of apple juice has 12 servings if 13 friends split the juice equally how many servings does each person get
Answer:
Each friend will get 0.92 of a serving
Step-by-step explanation: 12 servings divided by 13 peple equals 0.923
I am a fraction with a denominator of 7 and a whole numerator. I am greater than 2/5 and less than 1/2. What fraction am I?
Answer:
3/7
Hope that helps!
Step-by-step explanation:
9514 1404 393
Answer:
3/7
Step-by-step explanation:
As a fraction with a denominator of 7, the value 2/5 would have a numerator of ...
(2/5)(7) = 2.8
Similarly, the fraction 1/2 would have a numerator of ...
(1/2)(7) = 3.5
The only whole number between 2.8 and 3.5 is 3.
The fraction of interest is 3/7.
At Wendy's, 3 Baconators and 2 Frosty's cost $21.50. If 5 Baconator's and 1 Frosty cost $30, find the cost of one Baconator and one Frosty.
Answer:
1.00 would be the cost
Step-by-step explanation:
Which expression below is equivalent to the expression -3/4(-12x-20Y)
A. 9x+15y
B. 9x-15y
C. 9x-20y
D. 9x-20y
URGENT!!!!
There are two missing numbers. Twice the first plus the second is equal to 15. Also, three
times the first minus the second equals 20. What are the two numbers?
Answer:
Write a system of equations
Step-by-step explanation:
2x + y = 15
3x - y = 20
5x = 35
x = 7
2(7) + y =15
y = 1
The two missing numbers are x = 7 and y = 1.Let's denote the first missing number as "x" and the second missing number as "y".
From the given information, we can form the following equations:
Equation 1: 2x + y = 15
Equation 2: 3x - y = 20
We can solve this system of equations by elimination or substitution method.
Let's use the elimination method:
Multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the "y" term:
Equation 1: 6x + 3y = 45
Equation 2: 6x - 2y = 40
Subtract Equation 2 from Equation 1:
(6x + 3y) - (6x - 2y) = 45 - 40
Combine like terms:
6x + 3y - 6x + 2y = 5
Simplify:
5y = 5
Divide both sides by 5:
y = 1
Substitute the value of "y" into Equation 1:
2x + 1 = 15
Subtract 1 from both sides:
2x = 14
Divide both sides by 2:
x = 7
Therefore, the two missing numbers are x = 7 and y = 1.
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Julie is graduating from college. She has studied biology, chemistry, and computing and hopes to work as a forensic scientist applying her science background to crime investigation. Late one night, she thinks about some jobs she has applied for. Let A, B, and C be the events that Julie is offered a job by:
A = the Connecticut Office of the Chief Medical Examiner
B = the New Jersey Division of Criminal Justice
C = the federal Disaster Mortuary Operations Response Team
Julie writes down her personal probabilities for being offered these jobs:
P(A) = 0.6
P(B) = 0.5
P(C) = 0.3
P(A and B) = 0.2
P(A and C) = 0.1
P(B and C) = 0.1
P(A and B and C) = 0
1. Make a Venn diagram of the events A, B, and C. Mark the probabilities of every intersection involving these events and their complements. Use this diagram to answer the following.
2. If Julie is offered the federal job, what is the conditional probability that she is also offered the New Jersey job? (Round your answer to two decimal places.)
3. If Julie is offered the New Jersey job, what is the conditional probability that she is also offered the federal job? (Round your answer to two decimal places.)
Answer:
A and B
Step-by-step explanation:
Divide.
68, 302 divided by 1,000
Enter the exact quotient.
Answer:
68.30200
Step-by-step explanation:
The exact quotient of 68,302 ÷ 1000 is 68.302.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
68,302 ÷ 1000
= 68,302 / 1000
= 68.302
Thus,
The quotient is 68.302.
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Factor 3x^2 - 2x - 1
Answer:
(3x+1) (x-1)
Step-by-step explanation:
.................
The factored form of 3x² - 2x - 1 is (3x + 1)(x - 1).
To factor the quadratic expression 3x² - 2x - 1, we can look for two binomials that multiply together to give the original expression.
We need to find two binomials in the form (ax + b)(cx + d) that, when multiplied, result in 3x² - 2x - 1.
To factor this expression, we need to find two numbers that multiply to give 3 (the coefficient of x² term) and add up to -2 (the coefficient of the x term).
By trial and error or using factoring techniques, we find that the factors are (3x + 1) and (x - 1).
Therefore, the factored form of 3x² - 2x - 1 is:
(3x + 1)(x - 1).
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1) A snake has a density of 12 g per cm and a
mass of 3000 g. What is its volume in cm'?
Answer:
250
volume=density/mass
Three times the sum of a number and 18 and is at least -30
Answer:
im sry i need hte points
Step-by-step explanation:
If a triangle has sides of 9 and 14, then the remaining side must be between and , with the smaller number listed first.
Answer:
I think the answer could be 11.5
Step-by-step explanation:
It's in the middle of both numbers
a=9
b=11.5
c=14
A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?
Answer:
Step-by-step explanation:
70(10/100)=7 broken cookies.
7/70=1/10 is the fraction broken
(70-7)/70=63/70 is the fraction remaining whole
Answer:
(a) 1/7 are broken
(b) 6/7 remain whole
Step-by-step explanation:
70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)
help plz plzplz plz dssfdasfadsfadsfadfadfdsfadsf ;(
Answer:I believe its b
Step-by-step explanation: