A single die is rolled twice. The 36
equally likely outcomes are shown to the right.
Find the probability of getting two numbers
whose sum is 3.
First Roll
Second Roll
2010
0 (1,1) (1.2) (1.3) (1,4) (1,5) (1,6)
D (2.1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3.1) (3,2) (3.3) (3,4) (3.5) (3.6)
3.4) )
EID (4.1) (4,2) (4,3) (4.4) (4.5) (4,6)
3 (5.1) (5.2) (5.3) (5,4) (5.5) (5,6)
3 (6.1) (6,2) (6.3) (6,4) (6,5) (6,6)
The probability of getting two numbers whose sum is 3 is
(Type an integer or a simplified fraction.)
Answers
Answer:
1/18
Step-by-step explanation:
There are only two possibilities that result in a sum of 3, (2,1) or (1,2).
Related Questions
it costs 13$ for admission to amusement park, plus 1.50$ for each ride.if you have a total of 35.50 to spend, what is the greatest number of rides you can go on
Answers
Answer:
Thus, the greatest number of rides I can go on is 15 rides
Step-by-step explanation:
I have $35.50 to spend for admission plus rides in the amusement park.
Admission costs $13. That leaves me with
$35.50 - $13 = $22.50
to spend on rides.
Considering each ride costs $1.50, we can find the maximum number of rides by dividing the remaining money by the cost per ride as follows:
$22.50 / $1.50 = 15
Thus, the greatest number of rides I can go on is 15 rides
rewrite 8x8x8 using an exponent
Answers
The exponential form of the given number 8x8x8 is 8³.
What is exponential form?The exponential form is a way of writing numbers using bases and powers. It tells us how many times are we actually multiplying a number to get the result.
Given is a number, 8x8x8,
As we know,
a×a×a××a×a×a×a×a×a...... n times = aⁿ
The number 8 is multiplied by itself 3 times, so, it will have a power of 3,
Therefore, 8x8x8 = 8³
Hence, the exponential form of the given number 8x8x8 is 8³.
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How do I factor this?
Answers
Answer:
3y(4y - 1)²
General Formulas and Concepts:
Alg I
FactoringStep-by-step explanation:
Step 1: Define expression
48y³ - 24y² + 3y
Step 2: Simplify
Factor GCF: 3(16y³ - 6y² + 3y)Factor GCF: 3y(16y² - 6y + 3)Factor trinomial: 3y(4y - 1)(4y - 1)Rewrite: 3y(4y - 1)²The most common type of harmony in the Baroque Period was:
a
Polyphony
b
Monophony
c
Homophony
*please None i will give you 12 points*
Answers
Question:
The most common type of harmony in the Baroque Period was
answer: Harmony came to be thought of as chords that laid the foundation for the melody. Major and minor as we know them today became established as keys instead of modes, and the harmonic patterns of tonality began to evolve. hmm
Polyphony is having multiple voices, harmony is how those multiple voices interact and relate to each other. Polyphony doesn't necessarily mean playing at the same time either, just the act of having multiple voices in a piece. Melodic independence and consonant treatment. so i think it is A.Polyphony
Graph
Slope-Intercept Form
Point-Slope Form
y-1=1(x-1)
Answers
JJ is paid $1000 per month plus 8% commission on all he sells. He sold $15,000 last month. What was he paid in total?
Answers
Answer:
15000+1000=16000
Step-by-step explanation:
PLS HELP!!!! ASAP
Give an example of like terms and an example of unlike terms. Which of these are like terms and which are unlike terms 3x, 2x, 4y, 7z?
Answers
Answer:
PLS HELP!!!! ASAP
Like terms 3x, 2x
Different terms 4y, 7z
Step-by-step explanation:
Example similar terms
3x + x = 5x
Example different terms
4 years + 7z
Alyssa performed an experiment to measure the acceleration of a falling ball. She ran the experiment many times. Her results were distributed normally, with a mean of 9.75 meters per second and a standard deviation of 0.08 meters per second. Alyssa can be 95% sure that her next measurement will fall between the values of and meters per second.
Answers
Answer:
Alyssa can be 95% sure that her next measurement will fall between the values of 9.59 and 9.91 meters per second.
Step-by-step explanation:
I just took the test and got it right
The 95% measurement will fall between 9.59 m/s and 9.91 m/s
Given;
the mean of the normal distribution, m = 9.75 m/s
standard deviation from the mean, d = 0.08 m/s
To find:
the range of Alyssa's 95% data
let this range = X
The 95% of the data will fall within 2 standard deviation below and the above the mean.
2 standard deviation below the mean = m - 2d
2 standard deviations above the mean = m + 2d
From the given values, m - 2d = 9.75 - 2(0.08) = 9.59 m/s
m + 2d = 9.75 + 2(0.08) = 9.91 m/s
Thus, the range of the 95% data = 9.59 m/s < X < 9.91 m/s
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When Elena makes bird food, she usually mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same. Select the correct amount of seeds and syrup. *
Answers
Answer:3 cups of seeds and 2 tablespoons of maple syrup
-OR-
6 cups of seeds and 4 tablespoons of maple syrup
Step-by-step explanation:
As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"
The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"
Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.
Answer:
I don't quite know how much Elena has in bird food but here is what you can do: If Elena has for example 6 cups of seeds then she will need 3 cups of maple syrup I think. 9-6=3 which is the difference that Elena needs to make her bird food. I hope this helps!
Which equation represents the line that goes through the point (0,2) and has a slope of 1/2
Answers
Answer:
1st answer is correct y=(1/2)x+2
Step-by-step explanation:
Fill in the blank to make the two fractions equivalent.
4/5= ?/20
Answers
Answer:
16/20 here is why :)
Step-by-step explanation:
4/5 = 16/20
--- -----
x4
5x?=20
?=4
so you do the same for the numerator
4x4=16
hope this helped.
Which statement is not one of the axioms of Euclidean geometry?
A. If two points lie in space, there is only one line that can pass through them.
B. If three points lie on the same line, there is only one plane that can pass through them.
C. If two points lie on a plane, the line containing them also lies on the plane.
D. If two planes intersect, their intersection is a line.
Answers
Answer:
B. if three points lie on the same line there is only one plane that can pass through them.
Step-by-step explanation:
Ruth develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches. Determine the length of the other side of the instrument.
Answers
Answer:
7.2 inches
Step-by-step explanation:
Pythagorean Theorem
a
You've been given the longest side = 14 and the side of the triangle = 12,
Do [tex]14^{2} - 12^{2}[/tex], which will give you an answer of 52.
After doing this since you're calculating a side and you've been given the longest side already it can't possibly be an answer of 52.
Square root 52 and you'll get 7.2.
Your answer should be 7.2 inches.
What is the value of x?
7.5/x= 30/16
Answers
Answer:
4
Step-by-step explanation:
I divided 30/16 and got 1.875, then I knew that 7.5 would have to have the same answer. I did a process of elimination by dividing 7.5 by numbers at random and finally divided by 4 and got the answer. Another way to get the answer would be to cross multiply the equation.
7.5/4=30/16
120=30x
4=x
A line passes through the point (10, -1) and has a slope of 3/2 .
Write an equation in slope-intercept form for this line.
Answers
Answer:
y=3/2x-16
Step-by-step explanation:
The equation of the line passing from points (10, -1) is y = 3x/2 - 16.
What is equation of a line?A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It conveys the slope, x-intercept, and y-intercept of the line and can be expressed in a variety of ways. Y = mx + c and axe + by = c are the two versions of the equation of a straight line that are most frequently employed.
Given slope = 3/2 and points (10, -1)
equation of line is given by y = mx + c
m = 3/2
y = 3/2x + c
substitute points,
-1 = 10*3/2 + c
c = -16
equation of line is y = 3x/2 - 16
Hence the equation is y = 3x/2 - 16.
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A line passes through the point ( 18 , − 11 ) and has a slope of − 5 . Write an equation in slope-intercept form for this line.
Answers
Answer:
The equation of the line in the slope-intercept form is y = -5x + 79
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The slope of the line is -5
∴ m = -5
∵ The form of the equation is y = m x + b
→ Substitute the values of m in the form of the equation
∴ y = -5x + b
→ To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The line passes through the point (18, -11)
∴ x = 18 and y = -11
∵ -11 = -5(18) + b
∴ -11 = -90 + b
→ Add 90 to both sides to find b
∵ -11 + 90 = -90 + 90 + b
∴ 79 = b
→ Substitute it in the equation
∴ y = -5x + 79
∴ The equation of the line in the slope-intercept form is y = -5x + 79
Find the value of x in the triangle shown below.
X=?
Answers
Answer:
x = 74Step-by-step explanation:
180 = x + x + 32
180 - 32 = 2x
148 = 2x
x = 148 / 2
x = 74
In the figure shown, lines 1 and 2 are parallel. The sum of the measures of angles 4 and 5 is 150°. What is the measure of angle 1? a. 75° b. 105° c. 115° d. corresponding angles
Answers
Answer:
C. 105°
Step-by-step explanation:
The measure of <1 is 105.
What is parallel line?Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions. Two straight lines are said to be parallel if their slopes are equal and they have different y-intercepts. Given below are a few important properties of parallel lines that actually reflect the characteristics of parallel lines.
For the parallel lines cut by a transversal, the following properties hold true:
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.Given:
<4 + <5 = 150 (given)
As, from the figure
<4 = <5 (alternate exterior angle)
Then,
<4 + <4 = 150
2<4 = 150
<4 = 75
and <5 = <4 = 75
Now, <1 + <5 = 180 (linear pair)
<1 + 75 = 180
< = 180 -75
<1 = 105
Hence, the measure of <1 is 105
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If the base of a triangle is doubled then new area= ________ times old area
Answers
Answer:
As base and height are becoming double the new area is 4 times the original area. When the length of the sides of a triangle double, the area becomes quadruple.
Simplify the following expression (3x-5)(4-9x)+(2x+1)(6x^2+5)
Answers
12x³-21x²+67x+30
Como es la fórmula del perímetro de un hexágono?
Espero respuesta
Gracias
Answers
Answer:
El Perímetro de un hexágono es igual a la suma de todos sus lados.
Step-by-step explanation:
el perimetro siempre es la suma de los lados de cualquier figura
Que tengas un buen día
OMG CAN ANYBODY HELP ME OUT WITH HIS!?!?!?!? I NEED IT PLEASE I WILL GIVE BRAINLIEST IF ITS RIGHTTTT
Answers
Answer:
I would say C
Step-by-step explanation:
Hope I helped
Answer this please!!!!! Will mark.
Answers
Answer:
4.75
Step-by-step explanation:
u×t=5 +1/2×-2×1/2²
Hey, here is ur answer:
_________________________________________
s = (10 x[tex]\frac{1}{2\\}[/tex]) + ([tex]\frac{1}{2}[/tex]x- 2x [tex]\frac{1}{2\\}[/tex]²)
5 + (-0.25)
= 4.75
--------------------------------------------------------------------------
Hope this helped
Stay happy nd safe
:D
Alex earned $75 mowing lawns. He decided to put $25
into saving and spent $29.99 on a new shirt. He wants
to buy socks for $6.25 per pair. What is the maximum
number of pairs of socks he can buy?
Answers
Answer:
Alex can buy "3" socks
Step-by-step explanation:
75- 25 =50
50- 29.99 = 20.01
20.01/ 6.26= 3.02
Since you can't get a portion of a sock you just take the first number (which is 3). Therefore, Alex can only buy three socks.
What Is the answer to this
2/3p+3=
p=3/5
Answers
Answer:
3 and. 2/5
Step-by-step explanation:
2/3 x 3/5 = 2/5
2/5 + 3 = 3.4 or 3 2/5
(6*3 Square root ÷9=
Answers
The square root of 9 is 3
18/3 is 6
Answer is 6
Hope I helped:)
The arctic tern flies from the Arctic to the Antarctic and back every year, a total distance of 22,000 miles! In late summer, the terns start their migration south, and it takes about 3 months to go the 11,000 miles. What is the average velocity, in miles per day, that these birds travel?
Answers
Answer:
The birds travel at an average velocity of 122.2 miles per day
Step-by-step explanation:
The arctic terns fly a total distance of 22,000 miles in their yearly migration from the Arctic to the Antarctic and back again.
The average speed is the ratio between the total distance traveled by the time they took to travel.
Assume we take an average month of 30 days, then the time the arctic terns take to travel the 11,000 miles back is 30*3= 90 days.
The average velocity is
[tex]\displaystyle v=\frac{11,000}{90}=122.2[/tex]
v=122.2 miles/day
The birds travel at an average velocity of 122.2 miles per day
Answer:
The artic tern flies 11000 miles about 3 months at an average velocity of 122.222 miles per day.
Step-by-step explanation:
h(x) = x2 + 3x – 2; 12 - h(7)10
Answers
Answer:
2x + -10 = 10 + -3x
Reorder the terms:
-10 + 2x = 10 + -3x
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
hope dis helps <3
Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me
Answers
Refer to question: https://brainly.com/question/18999872
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd
Consider the expression 3(5+2•4)+(-3)
Answers
i've considered it, ty
