Answer:
P(2) = 1/18
P(3) = 1/9
P(4) = 1/6
P(5) = 1/6
P(6) = 1/6
P(7) = 1/6
P(8) = 1/9
P(9) = 1/18
Step-by-step explanation:
Each die has six possible outcomes, so both dice together have 6*6 = 36 outcomes:
(1,1), (1,1), (1,2), (1,2), (1,3), (1,3),
(2,1), (2,1), (2,2), (2,2), (2,3), (2,3),
(3,1), (3,1), (3,2), (3,2), (3,3), (3,3),
(4,1), (4,1), (4,2), (4,2), (4,3), (4,3),
(5,1), (5,1), (5,2), (5,2), (5,3), (5,3),
(6,1), (6,1), (6,2), (6,2), (6,3), (6,3).
The sum of the values for each outcome is:
2, 2, 3, 3, 4, 4,
3, 3, 4, 4, 5, 5,
4, 4, 5, 5, 6, 6,
5, 5, 6, 6, 7, 7,
6, 6, 7, 7, 8, 8,
7, 7, 8, 8, 9, 9.
To find the probability of each sum, we just need to divide the number of times this sum appears over the total number of possibilities (36), so we have:
P(2) = 2/36 = 1/18
P(3) = 4/36 = 1/9
P(4) = 6/36 = 1/6
P(5) = 6/36 = 1/6
P(6) = 6/36 = 1/6
P(7) = 6/36 = 1/6
P(8) = 4/36 = 1/9
P(9) = 2/36 = 1/18
What is the simplified expression for..
Answer: A) 3/2
Step-by-step explanation:
Any negative exponent can go to the other side of the fraction as a positive exponent. For example, a negative 3 exponent in the numerator can become a positive 3 exponent in the denominator. Thus, simply use this rule and combine like terms to get 3/2.
find clarissa salary when she sells $1700 worth of merchandise.
Answer:
361.25
Step-by-step explanation:
first subtract her sales
900 - 500 equals 400
next subtract her earnings
489-405= 85
next divide the remainder of her earnings by the remainder of her sales
85/400=.2125
finally multiply this by 1700
0.21 to 5 * 1700 equals 361.25
9 (y+2) -5 (y-6) = -4y -9 solve for y
[tex]
9y+18-5y+30=-4y-9 \\
8y+57=0 \\
y=-\frac{57}{8}=-7.125 \\
[/tex]
Hope this helps.
Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Step-by-step explanation:
First off, Let's Simplify!
[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]
Next, Let's Combine Like Terms!
[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]
~~~~~~~~~~~~~~~~~~~~~~~
[tex]4y + 48 = -4y - 9[/tex]
Now, Let's Isolate the Variable!
[tex]8y + 48 = -9[/tex]
[tex]8y = -57[/tex]
Final Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Hope that helps and maybe earns a brainliest!
Which of the following is a solution of the system
x – 2y < 4 and y > – 2x – 5?
1. (1, -4)
2. (-8, 2)
3. (0,0)
4. (-3,0)
Answer:
Option 3.
Step-by-step explanation:
The given inequalities are
[tex]x-2y<4[/tex]
[tex]y>-2x-5[/tex]
If (a,b) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (a,b).
For point (1,-4),
[tex](1)-2(-4)<4\Rightarrow 9<4[/tex] False
[tex]-4>-2(1)-5\Rightarrow -4>-7[/tex] True
Since, first inequality is false for (1,-4) point, therefore (1,-4) is not the solution.
For point (-8,2),
[tex](-8)-2(2)<4\Rightarrow -12<4[/tex] True
[tex]2>-2(-8)-5\Rightarrow 2>11[/tex] False
Since, second inequality is false for (-8,2) point, therefore (-8,2) is not the solution.
For point (0,0),
[tex](0)-2(0)<4\Rightarrow 0<4[/tex] True
[tex]0>-2(0)-5\Rightarrow 0>-5[/tex] True
Since, both of inequalities are true, therefore (0,0) is a the solution.
For point (-3,0),
[tex](-3)-2(0)<4\Rightarrow -3<4[/tex] True
[tex]0>-2(-3)-5\Rightarrow 0>-11[/tex] False
Since, second inequality is false for (-3,0) point, therefore (-3,0) is not the solution.
Hence, option 3 is correct.
What is the simplified value of the exponential expression 27 1/3?
1/3
1/9
3
9
Answer:
Step-by-step explanation:
27^1/3
27 is cube root of 3
so it can also be written as (3)^3
∴ {(3)^3}^1/3
3 and 3 will get cancelled
so it will be 3^1
= 3
Answer: it is c
Step-by-step explanation:
what is the volume of a right trianular prism with the dimesions of 15 11 17
Answer:
1402.5 Cubic Units
Step-by-step explanation:
Volume of a Triangular Prism: V = [tex]\frac{1}{2}bhl[/tex]
b - base
h - height
l - length
15 is the height, 17 is the length, and 11 is the width (assuming which is the base).
[tex]V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5[/tex]
The volume of the prism should be 1402.5 cubic units.
5x+2y=57 what is x and y equal to?
ffefefertjuylijhq DS3NUFHUFH4UFUFHUFUEFNUEFNUEFN
I dont understand the problem
Answer:
equation of a line:
y = mx+c
1) find the gradient, m
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 4 - ( - 4)}{ - 10 - 1} [/tex]
[tex]m = 0[/tex]
2) find y-intercept, c using coordinate (1,-4)
y = mx + c
-4 = 0(1) + c
c = -4
the equation of line:
y = mx+c
y = 0(x) + c
y = c
y = -4
Round the numbers to estimate the quotient.
29 1/5 ÷ 4 6/7
Nhich numbers should be used?
Answer:
≈ 5.8
Step-by-step explanation:
Step 1: Round the fractions
29 1/5 = 146/5 = 29.2 ≈ 29
4 6/7 = 34/7 = 4.85714 ≈ 5
Step 2: Divide
29/5 = 5.8
The answer is under
a particular dam contains approximately 1,500,000,000,000 cubic feet of water. for a week long spike flood, water was released at a rate of 25,900 cubic feet per second. how much water was released during the flood?
what percentage of the dam was released during the flood?
Answer:
Total released water = 15,664,310,000 cubic feet
Total % of released water = 1.04%
Step-by-step explanation:
Given:
Water capacity = 1,500,000,000,000 cubic feet
Total seconds in a week = 7 × 24 × 60 × 60
Per seconds release amount = 25,900 cubic feet
Computation:
Total released water = 25,900 × 7 × 24 × 60 × 60
Total released water = 15,664,310,000 cubic feet
Total % of released water = 15,664,310,000 cubic feet / 1,500,000,000,000
Total % of released water = 0.0144
Total % of released water = 1.04%
When constructing parallel lines, how can you verify the lines constructed are parallel?t is being constructed based on the markings in the following diagram?
Answer:
You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.
Step-by-step explanation:
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
12 points!
A point located at (3,-2) is translated right 3 units and down 4 units. What are the coordinates of the image?
(0-2)
(6,-6)
(6,2)
(0,-6)
Answer: (6,-6)
Step-by-step explanation: so, the x coordinate before is 3, and traveling right is a positive number. So to find the x coordinate after, add 3 because it is going right 3 units, which is 6. The y coordinate was -2 before. Going down in terms for the y coordinate means negative, or to subtract, so the y coordinate after would be -6, because -2+4=-6
Hope you understand :)
What is the complete factorization of the polynomial below?
x^3 - 3x^2 + x-3
O A. (x-3)(x + 1)(x - )
O B. (x-3)(x- )(x-1)
O C. (x+3)(x-)(x-1)
O D. (x+3)(x+)(x-)
Answer:
(x-3)(x+i)(x-i)
Step-by-step explanation:
khan
The complete factorization of the polynomial is A = ( x + i ) ( x - i ) ( x - 3 )
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = x³ - 3x² + x - 3 be equation (1)
On simplifying , we get
A = ( x³ - 3x² ) + ( x - 3 )
Taking x² as the common term , we get
A = x² ( x - 3 ) + ( x - 3 )
Now , on factorizing the equation , we get
A = ( x² + 1 ) ( x - 3 )
where the value of ( x² + 1 ) = x² - i²
So , A = ( x² - i² ) ( x - 3 )
A = ( x + i ) ( x - i ) ( x - 3 )
Therefore , the value of A is ( x + i ) ( x - i ) ( x - 3 )
Hence , the factorized equation is A = ( x + i ) ( x - i ) ( x - 3 )
To learn more about factorizing click :
https://brainly.com/question/804076
#SPJ7
2 3 8 63 what number is next
Answer:
The answer is 3968
63 squared= 3969
3969-1 = 3968
Please help I will mark brainliest for correct answers!
Answer:27.5
Step-by-step explanation:
Answer:
B. 27.5
Step-by-step explanation:
37 is the Q2, which is the median,
Q1 is 27 + 28 / 2 = 27.5
Simplify 27/25 A. 1/7 B. 3/9 C. 3/5 D. 9/15 I will mark you as brainliest
Answer:
I think it's D
Step-by-step explanation:
What is a solution in math?
A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
Answer:
what the variable is equal to
Step-by-step explanation:
for example, in a equation like 1x = 2x/2 the solution could be x=1
Polygons ABCDE and KPVMS are congruent. Which of the following statements is true?
SK, DE
PV, DC
BD, PV
CD, VM
Does anyone know how to do all of this
Answer:
price paid of speakers= £40.5
price paid of headphones=£ 5.6
price paid of book=£6.65
price paid of mobile phone=£42
price paid of mouse=£ 15.75
price paid of DVD=£11.05
solution,
1. Cost of speakers:
Discount percent=10 %
Marked price=£45
discount amount= discount % of MP
=10% of 45
=£4.5
Selling price= MP - discount amount
=£45-£4.5
=£ 40.5
2. cost of headphones:
discount amount= discount% of MP
=20% of 7
=£1.4
Selling price= MP- Discount amount
=£7-£1.4
=£ 5.6
3. cost of books:
discount amount= discount percent of MP
= 30% Of 9.50
=£ 2.85
selling price= MP- Discount amount
= £ 9.50-£2.85
=£ 6.65
4. cost of mobile phone:
discount amount= discount% of MP
=40% of 70
=£ 28
selling price= MP- Discount amount
=£70-£28
=£ 42
5. cost of mouse:
discount amount= discount% of MP
= 25% of 21
=£ 5.25
selling price= MP- Discount amount
=£21-£5.25
=£ 15.75
6. cost of DVD:
discount amount= discount % of MP
= 15% of 13
= £ 1.95
selling price= MP- discount amount
=£ 13 -£ 1.95
=£ 11.05
Hope this helps...
Good luck on your assignment..
How can you check if a point is an element of the function?
Answer:
Graph or make a table of the function.
Step-by-step explanation:
When you graph the function just look on the graph to see that point is part of your function. Same would go for the table. Just look and see if your numbers match.
Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line connects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °
Answer:
[tex]mGH=80^\circ[/tex]
Step-by-step explanation:
Circle F and J are congruent.
[tex]\angle DFE \cong \angle GJH[/tex]
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
[tex]mGH=\angle DFE = 80^\circ[/tex]
The measure of arc GH is 80 degrees.
Answer:
Arc GH=80°
Step-by-step explanation:
Edge 2020
Create a scatterplot using your data
Hours: 0.7
GPA: 1.11
Hours: 21.9
GPA: 3.69
Hours: 18
GPA: 3.7
Hours: 15.5
GPA: 3.92
Hours: 19.5
GPA: 3.77
Hours: 0.7
GPA: 1.11
Hours: 21.9
GPA: 3.69
Hours: 15.5
GPA: 3.92
Answer:
If hours = x-axis and GPA = y-axis
Step-by-step explanation:
Answer:
[see graph]
Step-by-step explanation:
I used a graphing tool to plot the given information.
Time is always the independent variable. The GPA will be the dependent variable.
This means that the time would be the x-value and the GPA would be a y-value.
I did not do the repeating values. Hope this helps.
Which algebraic expression represents the phrase below?
five times the sum of a number and eleven, divided by three times the sum of the number and eight
5(x + 11) + 3(x + 8)
StartFraction 5 x + 11 Over 3 x + 8 EndFraction
Start Fraction 5 (x + 11) Over 3 (x + 8) EndFraction
5x + 11 + 3x + 8
Answer:
5(x+11)/3(x+8) = 5x+55/3x+24
Step-by-step explanation:
The Answer Happens to be:
c
Please answer this question now
Answer:
The coordinates of C are (2,2)
Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1
Answer:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
Step-by-step explanation:
In the figure attached, the question is shown. The function:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.
The roots of x² + 3x - 4 are -4 and 1
(-4)² + 3(-4) - 4 = 01² + 3(1) - 4 = 0Then, x² + 3x - 4 = (x + 4)(x - 1)
The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.
The function can be simplified as follows:
[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]
[tex]\frac{2}{x+4}[/tex]
Then, it has a removable discontinuity at x = 1
Answer:
D
Step-by-step explanation:
Draw a model to represent the ratio 1 to 3. Describe how to use the model to find an equivalent ratio. Please help I'm really stuck.
Answer: See below
Step-by-step explanation:
Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table
1 2 3 4 5 6 7 8 9 10......
3 6 9 12 15 18 21 24 27 30......
We see that in each set of numbers the 2nd number is 3 times the first number.
If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.
Which of the following ratio is equivalent to this ratio: 4:5
1)8:5
2) 8:16
3) 8:10
4) 2:3
Answer:
3) 8:10
Step-by-step explanation:
You can simply multiply the entire ratio by 2 to get your answer:
2(4:5)
2(4):2(5)
8:10
Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3
Answer:
the answer is X<3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Lauren opened a lemonade stand on her street. It costs her $8.00 to buy the supplies each day, and she sells lemonade for $2.50 a cup. If she wants to make at least $175.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Lauren needs to sell? Input your answer as a whole number.
Answer: 74 Cups
Step-by-step explanation:
What is the question asking?
The question is asking for the minium number of cups Lauren needs to sell
Total in profits they need to make?
They need to make 183$ because 175 + 8 = 183
183 / 2.5 = 73.2
because we need to sell at least 183$ worth we need to sell 74 cups or else we will not be making it all the way there.
<!> Brainliest would be appreciated! <!>
PLEASE HELP IM STUCK
Answer:
Vertex: (0, 12)
Direction: Upwards
Step-by-step explanation:
Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).