Given:
A fair 6 sided die is rolled and then a second fair die is rolled.
To find:
The probability that you roll 1, 2, or 3 on the first die and roll 5 on second.
Solution:
If two fair die are rolled, then the total possible outcomes are
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)}
So, total outcomes = 36.
Favorable outcomes of getting 1, 2, or 3 on the first die and roll 5 on second are (1,5), (2,5), (3,5).
So, favorable outcomes = 3
We know that
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{3}{36}[/tex]
[tex]\text{Probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
Using the GCF, what is the factored form of 24v – 84?
3(8v – 28)
6(4v – 14)
12(2v – 7)
24(v – 60)
Answer: 2(3+x)(5-x)
Step-by-step explanation:
Answer:
2(3+x)(5-x)
Step-by-step explanation:
(X) 10.9.PS-7
Find the volume of the
triangular prism.
3.6 cm
9 cm
5.4 cm
The volume of the triangular prism is
3
cm
Answer:
9 cm because 69
Step-by-step explanation:
3(x+2)^2=48 with word steps
Answer:
Divide both sides by 3.
(x+2)^2=16
Square root both sides.
x+2= ± 4 (plus OR minus, can be either so we have to include both)
Minus 2 from both sides.
x=-2 ± 4
Add and minus the 4 to -2.
x = -2-4 = -6 and x=-2+4 = 2
Answer: x = -6, x = 2
Step-by-step explanation:
3(x+2)^2 = 48
(X+2)^2 = 16 —> divide both sides by 3.
(X+2) = 4 or -4 —> take square root. Remember plus or minus!
X + 2 = 4 —> make (x+2) equal to 4.
X = 2 <— solution.
X + 2 = -4 —> make (x+2) equal to -4.
X = -6 <— solution.
-5 1/2 + 6 3/4 + (-4 1/4)
Answer:
-3
Step-by-step explanation:
-5 1/2 + 6 3/4 - 4 1/4
= 1 1/4 - 4 1/4
= -3
Graph the inequality y<4
Hi there!
Hope this helps!
y could be anything so I made it less than 4.
PLZ HELP U WILL GET POINTS IF CORRECT ILL GIVE BRAINLIEST
Answer:
8 & 1/3
Step-by-step explanation
Answer:
14/3+11/3=25/3=8 1/3
Step-by-step explanation:
Find the gradient of the line segment between the points (-6,2) and (4,3).
Give your answer in its simplest form.
Gradient = 0.1
Step-by-step explanation:
ΔX = 4 – -6 = 10
ΔY = 3 – 2 = 1
Gradient = m = ΔY/ ΔX = 1/10 = 0.1
The gradient of a line segment is a measure of how steep the line is. A line with a large gradient will be steep; a line with a small gradient will be relatively shallow; and a line with zero gradient will be horizontal.
The selling price is $750. The rate of the sales tax is 5%. How much is the sales tax?
Answer:
37.5
Step-by-step explanation:
Selling price= 750
Sales tax= 5%
5/100 because we are looking for 5% ot of 100%
750*0.05
The weight of a bunch of graphs is estimated to be 3 lbs. The actual weight is 2.7 lbs. What is the percent error in the estimate? Enter your answer, rounded to the nearest tenth, in the box.
Answer:
11.1%
Step-by-step explanation:
(3 - 2.7)/2.7 = 11.1%
(measured - true) x 100 = percent error
true
PLEASE HELP AND QUICK WITH SHOWING THE WORK
Answer:
1. g=0
2. t=-11
3. v=56
4. d=-27
Step-by-step explanation:
1. add 4 to both sides
2. divide both sides by -5
3. multiply both sides by -7
4. multiply both sides by -3
Answer:1) g=0
2)t=-11
3)v=56
4)d=-27
Step-by-step explanation:
1) add 4 to both sides, g=0
2)divide by -5 on both sides to isolate the variable
3) multiply by the reciprocal (opposite) of -1/7 which is -7 on both sides to get 56
4) multiply by the denominator on both sides, so -3 to get -27
I need help I need help on this question
Answer: Option B
Step-by-step explanation:
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, 1). (3 points)
y = negative 1 over 2 x − 1 over 2
y = 2x + -5
y = − 1 over 2 x − 7 over 2
y = 2x − 8
Answer:
y=2x+-5. I think.
Step-by-step explanation:
An arts academy requires there to be 5 teachers for every 100 students and 3 tutors for every 36 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 96?
Answer:
20 students per teacher, 12 students per tutors, and 8 tutors for 96 students
Step-by-step explanation:
100/5=20
36/3=12
96/12=8
12
10. Find the value of x given ACAB – ADFE.
D
as
A
30
21
77
11x + 11
B
Answer
a
Step-by-step explanation:
please help! it would be much appreciated
Answer:
20
Step-by-step explanation:
Evaluate the expression for the given value of x.
5x + 6 for x = 4
A train covers a distance of 51 km in 45 minutes. How long will it take to cover 221 km?
Answer:
A train covers a distance of 51km in 45 minutes how long will it take to cover 221km. :. Total time it will take to cover 221 km= 195 minutes i.e. 3 hours 15 minutes. Hope it helps
Does the point (–84, –82) satisfy the equation y = x + 2?
Answer:
It does satisfy the equation y=x+2
Step-by-step explanation:
To find if it satisfy the equation y=x+2 is by subsituting x with -84 and y with -82
-82=-84+2
2-84= -82
-82=-82 which is true so it satisfy the equation
Dale finished his English assignment in 1/3 hours . Then he completed his chemistry assignment in 1/2 hours . How much more time did dale spend on his chemistry assignment?
write your answer as a fraction in simplest form .
Answer:
1/6 hours
Step-by-step explanation:
Since it wants a fraction form all you have to do is subract 1/3 from 1/2
1/2 - 1/3
cross multiply:
3/2-2/3
subtract the numerator but multiply the denominator and simplify if you have to:
1/6
2. What is an
example of TIME?
high and low
slow and fast
sharp and fluid
(Dance class)
Answer:
the awnser should be. slow and fast
Simplify, 4(x + 6) + 2 (3x- 5)
Answer:
10x + 14
Step-by-step explanation:
begin by distributing the numbers outside of your parentheses:
4x + 4(6) + 6x - 2(5)
4x + 24 + 6x -10
then just combine like terms:
4x + 6x + 24 - 10
10x + 14
oque apresenta caracteristicas cultural
Answer:
iniciações, tradições, história, valores e princípios, propósito, símbolos e limites.
Step-by-step explanation:
Brainliest PLSSS
What is the 3rd root of 125
Answer:
its five
Step-by-step explanation:
Find ∠LMQ in the parallelogram LMNQ.
Answer:
29 degrees
Step-by-step explanation:
alternate interior angles are equal
The measure of angle LMQ in the parallelogram LMNQ is 29 degrees
From the diagram, we have the following parameters
Angle NLQ = 100 degreesAngle MQN = 29 degreesAlso, from the diagram, angles MQN and LMQ are alternate interior angles
This means that, both angles are congruent
So, we have:
[tex]\angle LMQ = \angle MQN[/tex]
This gives
[tex]\angle LMQ = 29^o[/tex]
Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees
Read more about parallelograms at:
https://brainly.com/question/3050890
solve. 3x+4y=36y=-1/2x+8
Answer:
7.5
Step-by-step explanation:
3x+4y=36y=-1/2+8=
PLEASE HELP
Sarah gets a job paying $32,000 a year with the promise of a pay increase of 4% per year.
a. Write a recursive routine to help find Sarah's yearly pay each year.
Start with: 32000
Rule: Multiply by 1.04
b. To the nearest dollar, how much will Sarah make year 5?
c. During what year will Sarah first make more than $40,000 per year?
Answer:
a) P(x) = 32000*1.04^xb) $37435c) During year 7Step-by-step explanation:
Given
Initial pay = $32000Increase rate = 4%a. Formula
P(x) = 32000*1.04^xb. Year 5 is after 4 years, so we are looking for the value of P(4)
P(4) = $32000*1.04^4 = $37435c. P(x) = 40000, x = ?
40000 = 32000*1.04^x1.04^x = 40000/320001.04^x = 1.25log 1.04^x = log 1.25x = log 1.25 / log 1.04x = 5.69, this is 6 years afterThe required number of the years is 6 + 1 = 7
5. What is the value of x to the nearest tenth? The figure is not drawn to scale.
Answer:
5.46
Step-by-step explanation:
Using pythagoras theorem;
AD^2 = 5.3^2 - 4.1^2
AD^2 = 28.09-16.81
AD^2 = 11.28
AD = √11.28
AD = 3.36
x^2 = 3.36^2+4.3^2
x^2 = 11.28 + 18.49
x^2 = 29.77
x = 5.46
Hence the value of x is 5.46
PLEASE HELP NOW WILL GIVE CROWN!!!
Answer:
ADD MORE POINTS FOR THIS WHOLE SHEET YA NO FOU. ADD MORE POINTS THE WE CAN TALK!
Step-by-step explanation:
1. The quadratic parent function f(x) = x2 was transformed to
create function g(x). Which of the following represents function
g(x)?
A. g(x) = -6f(x)
B g(x) = f(x - 6)
c. g(x) = f(x + 6)
D 0.9(x) = f(x) - 6
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
The graph of g(x) is the graph of f(x) shifted 6 units left , then
g(x) = f(x + 6) → C
A train travels 5,812 miles each month for 24 months. How many miles did the train travel in total?
139,488 miles
139,588 miles
139,688 miles
139,788 miles