Answer:
9/12=3/4
Step-by-step explanation:
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
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
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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Which is the best estimate for the total length of the bricks.
Please answer fast will give 100 point things.
QUESTION BELOW
I WILL REPORT TROLLS!
THANK YOU
Answer:
A. 56
Step-by-step explanation:
Let the three consecutive integers be:
xx + 1x + 2Given:
The sum of three consecutive integers is 30 more than twice the smallest integer.Create an equation with the given information and solve for x:
\(\implies x+(x+1)+(x+2)=2x+30\)
\(\implies 3x+3=2x+30\)
\(\implies 3x+3-2x=2x+30-2x\)
\(\implies x+3=30\)
\(\implies x+3-3=30-3\)
\(\implies x=27\)
Therefore, the three consecutive integers are:
27, 28 and 29.So the sum of the first and last integer is:
\(\implies 27+29=56\)
Answer:
a) 56 --- (27, 28, 29)
Step-by-step explanation:
Forming the equation,
→ x + (x + 1) + (x + 2) = 2x + 30
Now the value of x will be,
→ x + (x + 1) + (x + 2) = 2x + 30
→ x + x + 1 + x + 2 = 2x + 30
→ 3x - 2x = 30 - 3
→ [ x = 27 ]
The last integer will be,
→ x + 2
→ 27 + 2 = 29
Sum of first and last integer is,
→ x + (x + 2)
→ 27 + (27 + 2)
→ 27 + 29 = 56
Hence, required answer is 56.
A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
is gun’s velocity of pushing behind?
answer fast please
Answer:
The recoil velocity of the gun is \(0.72\,\,\frac{km}{h}\) and is pointing in opposite direction to the velocity of the bullet.
Step-by-step explanation:
Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).
We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg
In mathematical terms, we have:
\(5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}\)
Question 7(Multiple Choice Worth 5 points)
(Scale Factor MC)
Ascale drawing of a famous statue uses a scale factor of 260:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
O261 2 feet
0312.0 feet
O216.7 feet
O258.8 feet
The actual height of the statue is 0312.0 feet. Since the scale factor is 260/1.
What is meaning height?
Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.
Given that to draw a drawing the painter use the scale factor 260:1. It means if the height of a statue in the drawing is 1 unit then the actual height of the statue will be 260.
The height of a statue in the drawing is 1.2 feet.
Assume that the height of the statue be x feet.
Therefore,
x/1.2 = 260/1
x/1.2 = 260
Multiply both sides by 1.2:
x = 260 × 1.2
x = 312
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The correct option is B, 312.0
what is the formula for this seqyence 5,10,20,40,80
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
Choose the linear inequality that describes the graph the grey area represents the shaded region
Answer:
Explain to me how you expect anyone to do this,
as you haven't provided the graph or the inequalities.
Step-by-step explanation:
A casual fast food restaurant offers 4 different toppings that each can be served over one of 3 bases: a piece of fry bread, a salad, or on rice. Further, customers can choose one of 3 different sauces to be served with their order.
How many distinct filling-base-sauce combinations does a customer at this restaurant have to choose from?
Answer: 36 combinations
Step-by-step explanation:
Since you have 4 toppings, 3 bases and 3 sauces, you can just multiply them to get the different combos.
4 * 3 * 3
= 36
list lowest to greatest 182.205 182.05 182.105 183.025
Answer:
182.050,182.105, 182.205, 183.025
Step-by-step explanation:
I just know math, there's no real explanation for it other than it's how the numbers work.
Solve the system 6x -2y+z= -2 2x+ 3y - 3z =11 x+ 6y=31
Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
Solve the inequality and graph the solution. 1/2x < 6
Answer:x<12
Step-by-step explanation:
2/1 x 1/2x<6/1 x 2/1
X<12
1. You have learned several techniques for solving quadratic equations. Create an equation that would be best for each technique listed below. Then explain why that technique would be best for each equation that you created.
2.What is the discriminant and what happens if you are solving and the discriminant turns out to be negative?
The techniques that can be used to best explain for each equation that I have created are:
What are the techniques?A) For graphing - This is often used in checking if your answer is correct, if the math is known to be a little tedious, graphing is recommended
(b) For factoring: x^2 -3x +4 '
Where: (x-4)(x+1)=0
Then x=-1, 4
(c) For square root method: x^2 = 64
Therefore x = + or - \(-\sqrt{64}\) = + or - 8
(d) For completing the square: x^2 + 4x = 11 and x^2 +4x + 4
Note that: x^2 +4x + 4
= x^2 + 4x = -4
= x^2 +4x + 4 = -4 + 4
= (x+2)^2 = 0
So, x = -2
(e) For quadratic formula: 6x² + 7x -19 =0
x= [-b + or - sqr(b² - 4ac)]/2a
Note that b=7
a=6
c=-19
Therefore
x= [-7+ or - sqr(49+4(6)(9)]/2
2. if the discriminant is said to be negative, then the equation is one that is made up of two imaginary or complex solutions.
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See full question below
You have learned several techniques for solving quadratic equations. Create an equation that would be best for each technique listed below. Then explain why that technique would be best for each equation that you created.
a. graphing
b. factoring
c. square root method
d. completing the square
e. quadratic formula
2. What is the discriminant and what happens if you are solving and the discriminant turns out to be negative?
Which situation is best described by this number line?
-8-7-6 -5 4 -3 -2 -1 0 1 2 3 4
5 6 7 8
Ryder owed his mom $2.50. He also owes his father $875.
Ryder owed his mom $2.50. He does some chores and makes $625
B. Ryder had $6.25. He needs to buy school supplies and ends up owing his
mother $2.50
Ryder owed his mom $2.50. He babysits his sister and makes $875
Helppp
Answer: B. Ryder had $6.25. He needs to buy school supplies and ends up owing his mother $2.50
Step-by-step explanation: The number line only has single digits and every other answers have extreme changes while B has the lowest change that fits in the number line.
Note: If p(a) = 0 then (x - a) is a factor of p(x)
given that f(-1), f(-2) are zeros of f(x) find the missing values of these coefficients p, q
f(x) = x³ + px² - qx - 4
After finding the values of the coefficients factor and find the solutions of x1, x2 and x3.
Answer:
Since f(-1) = 0 and f(-2) = 0, we can set up two equations:
(-1)³ + p(-1)² - q(-1) - 4 = 0
(-2)³ + p(-2)² - q(-2) - 4 = 0
Simplifying each equation, we get:
-1 + p - q - 4 = 0
-8 + 4p - 2q - 4 = 0
Simplifying further, we get:
p - q = 5
2p - q = 6
Solving for p and q, we can add the two equations together to eliminate q:
p - q + 2p - q = 5 + 6
3p - 2q = 11
Then, we can substitute the value of q from the first equation into this equation to solve for p:
3p - 2(q + 5) = 11
3p - 2q - 10 = 11
3p - 2q = 21
3p - 2(5 + p) = 21
p - 10 = 7
p = 17
Substituting this value of p into either equation for q, we get:
q = p - 5 = 12
Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:
-1 | 1 17 -12 -4
|__ -1 -16 28
1 1 12
This gives us the factorization:
f(x) = (x + 1)(x² + x + 12)
To find the solutions, we can use the quadratic formula on the quadratic factor:
x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)
x = (-1 ± sqrt(1 - 48)) / 2
x = (-1 ± sqrt(-47)) / 2
x1 = (-1 + i(sqrt(47))) / 2
x2 = (-1 - i(sqrt(47))) / 2
Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.
Step-by-step explanation:
give me thanks for more! your welcome bud!
Write an expression and then evaluate when x = 6.
A number squared minus 3 times the same number.
Answer:
18
Step-by-step explanation:
x2-3x
6^2-3(6)= 18
.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place. please show me how you got this and what steps u did please hurry
Weight. Average
Homework30%. 95
Projects 15%. 80
Tests 50% 77
Attendance 5% 50
Answer:
I'm not in college but you can do this
During the candy sale, nick sold 100 bars,Olivia sold 94,Brandon sold 53, and Grace sold 75. (Rank from greatest to least
The ranking from greatest to least goes on Nick, Olivia, Grace, and Brandon.
So in this, we have to rank the person who got most of the candy bars first and that is Nick.
After Nick Olivia has 94 candy bars so she is second in order.
Then on the third Grace had 75 candy bars.
And at the least Brandon is there with 53 candy bars.
Nick sold 100 candy bars
Olivia sold 94 candy bars
Grace sold 75 candy bars
Brandon sold 53 candy bars
Therefore, the ranking from greatest to least is Nick, Olivia, Grace, and Brandon.
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Please help Do not use me for a point please please help
-16/99
I believe this is correct, please mark brainliest! Have an amazing day and stay safe!
How many dimensions does a point have?
A. One
B. Two
C. Three
D. Zero
Answer:
D
Step-by-step explanation:
zero because it has no size
A translation 5 units right and 6 units down maps A onto A'. Write thetranslation as a vector.
A translation 5 units right and 6 units down maps A onto A'. Write the
translation as a vector.
we have that
the rule for the translation is
A(x,y) -------> A'(x+5, y-6)Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?
Answer:
Each pupil get 6 sheet
Step-by-step explanation:
Given:
Number of green sheet = 36
Number of blue sheet = 42
Find:
Common factor
Computation:
36 = 6 x 6
42 = 6 x 7
So, 6 is a common factor
Each pupil get 6 sheet
Each student should get 6 papers
The lowest common multiple is the smallest factor of a set of numbers.
The highest common factor is the biggest factor of a set of numbers.
A multiple of a number is a number that can divide another number without a remainder.
Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
The common factors of both numbers are : 1,2,3,6
Each student should get 6 papers
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Events A and B are independent. The P(A) = 3/5, and P(not B) = 2/3. What is P(A and B)?
Given:
Events A and B are independent.
P(A)=
\(\frac{3}{5}\)P(not B)=
\(\frac{2}{3}\)Required:
P(A and B).
Answer:
We have given that P(A)=
\(\frac{3}{5}\)P(not B)=
\(\frac{2}{3}\)Then P(B)=
\(\begin{gathered} P(B)=1-P(not\text{ B}) \\ P(B)=1-\frac{2}{3}=\frac{1}{3} \end{gathered}\)Hence, P(A and B)=
\(P(A)\cdot P(B)=\frac{3}{5}\times\frac{1}{3}=\frac{1}{5}\)Final Answer:
P(A and B)=
\(\frac{1}{5}\)Please help me with this question!!!
Answer:
θ = ±2π/3 +2kπ . . . . . for any integer k
Step-by-step explanation:
2·cos(θ) +1 = 0
cos(θ) = -1/2 . . . . . subtract 1, divide by 2
The cosine function has the value -1/2 for θ = ±2π/3 and any integer multiple of 2π added to that.
θ = ±2π/3 +2kπ . . . . . for any integer k
Can mow his lawn at rate of 15 per hour. how many get per hour is this
Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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okay that's fine the volume of the figure in cubic yards.
We are asked to find the volume of the cone.
Recall that the volume of a cone is given by
\(V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h\)Where r is the radius and h is the height of the cone.
As you can notice, we are not given the height of the cone but instead, we are given the slant length.
So, let us first find the height of the cone.
As you can see, we can use the Pythagorean theorem to find the height (h)
\(\begin{gathered} r^2+h^2=L^2 \\ 9.6^2+h^2=26.5^2 \\ h^2=26.5^2-9.6^2 \\ h^2=702.25-92.16 \\ h^2=610.09 \\ h=\sqrt[]{610.09} \\ h=24.7\: yd \end{gathered}\)So, the height of the cone is 24.7 yards.
Now let us find the volume of the cone
\(\begin{gathered} V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h \\ V=\frac{1}{3}\cdot\pi\cdot9.6^2\cdot24.7 \\ V=\frac{1}{3}\cdot\pi\cdot92.16^{}\cdot24.7 \\ V=2383.79\: yd^3 \end{gathered}\)Therefore, the volume of the given figure is 2383.79 cubic yards.
The 1st option is the correct answer.
3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.
Step-by-step explanation:
1/5 of 175
=1/5×$175
=$35
sale price = original price - discount price
= $175 -$35
= $140
What system of equations is shown on the graph below?
Answer:
don't know
Step-by-step explanation:
you didn't put any options g
Find last year's salary if, after a 5% pay raise, this year's salary is $36,750?
Answer:
36750*5%
then minus the answer from the present salary that was last year's salary
A manufacturer makes two type if products X and z at each if two different locations A and B. the materials used to make each if the products are steel, glass and plastic. suppose it takes three units of steel, one unit of glass and two units of plastic to make one unit of product X and four units of steel and one half units of glass and three units of plastic to make one unit of product Z. suppose further that steel, glass and plastic cost birr 10, 2, and 3 per unit respectively at location A. at location B steel, glass abd plastic cost 9,3 and 4 per unit respectively. using matrix algebra. find the material cost of making one of each product at each of the two locations.
Using matrix algebra, the material cost of making one of each product at each location is as follows:
Product X Product Z
Location A birr 38 birr 50
Location B birr 38 birr 49.5
What is matrix algebra?Matrix algebra involves the arrangement of numbers in a rectangular array.
Matrices are arranged in columns and rows to express some mathematical values.
Data and Calculations:Matrix O: Materials Requirement Per UnitSteel Glass Plastic
Product X 3 1 2
Product Z 4 0.5 3
Matrix P: Materials Cost Per UnitSteel Glass Plastic
Location A 10 2 3
Location B 9 3 4
Matrix R: (O x P) Material Cost of Product XSteel Glass Plastic Total
Location A 30 2 6 38
Location B 27 3 8 38
Matrix R: (O x P) Material Cost of Product ZSteel Glass Plastic Total
Location A 40 1 9 50
Location B 36 1.5 12 49.5
Thus, Product X costs birr 38 at locations A and B, respectively, while Product Z costs birr 50 and birr 49.5 at locations A and B, respectively.
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