If at least one of the rolls is a 1, then there is a 1/12 chance that the total of the two dice roll will be less than 4.
A dice roll is what?idiom, informal, used to indicate that a situation could result in either a good or negative outcome. It's always a gamble to open a new restaurant. Whether we succeed or fail is up to chance.
Dice formula: What is it?Probability is calculated as follows: 3 out of 36 potential outcomes x desired outcomes = 0.0833. 8.33 percent is the calculated percentage. 7 is also the most frequent outcome when two dice are used. There are also six different ways to do it. The chance in this situation is 6 x 36 = 0.167, or 16.7%.
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I need help here and fast
The image here given an example of perpendicular line.
Correct option is: yes, the lines are intersect at right angle.
What does two perpendicular lines look like?Two lines are perpendicular if they cross at a point where they provide a pair of linear angles that are congruent. If a transversal in a plane is parallel to one of two parallel lines, it is also parallel to the other line. Lines that cross at a straight angle (90°) are said to be perpendicular. Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.
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Craig is building a bicycle ramp with a 3-ft rise over a 10-ft horizontal run as shown in the figure. What is the length m of the ramp? Round to the nearest tenth.
Answer:
10.4
Step-by-step explanation:
m² =10²+3² = 109
so m =√109 = 10.4
Students on the school track team may compete in up to 3 events. The probability distribution for the number of events in which a student competes is provided. Let X = the number of events a student competes in. Calculate the median of the distribution.
0.5
1
1.5
2
Median of the probability distribution is 1.
Correct option is B.
What is median?The median of a set of data is the middlemost number or center value in the set. The median is also the number that is halfway into the set.
The median for a random variable X is m such that P(X≤m)≥1/2 and P(X≥m)≥1/2.
Given,
The probability distribution for the number of events in which a student competes is provided.
X is number of events,
P(X) is probability
Here,
For median value, P(x) ≥ 1/2
P(x) = 4/8 = 1/2
Value of X for P(x) = 1/2 is 1.
Median = 1
Hence, 1 is the median of probability distribution.
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RAMON WROTE THE EXPRESSION d-0.2d TO SHOW THE PRICE OF WINTER CLOTHING ON SALE FOR 20% OFF. RAQUEL WROTE TE EXPRESSION 0.08d TO SHOW THIS PRICE.WHOSE EXPRESSION IS CORRECT?HOW DO YOU KNOW
Ramon expression for price on sale d - 0.2d is equal to the calculated expression for the price on sale, hence correct
Raquel expression for the price 0.08d is not equal to calculated expression for price after discount 0.8d , hence incorrect.
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given,
Expression by Ramon to show the price of winter clothing with discount
= d - 0.2d
Expression of Price by Raquel = 0.08d
Let the price of the clothing is d,
Discount = 20% = 20% × d = 20d/100 = 0.2d
Price on sale = d - 0.2d
Solving the expression,
Price = d(1 - 0.2)
Price after discount = 0.8d
Hence, by the calculation
Ramon expression for the price on sale d - 0.2d is correct
while Raquel expression is incorrect because the expression for the price is 0.8d.
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y ticket. each ticket has a probability of 0.3 of winning a prize. after seven days, what is the probability that jorge has won at least one prize? round your answer to four decimal places.
Jorge has a ticket has a probability of 0.3 of winning a prize. after seven days, probability that jorge has won at least one prize is 0.9176
Let the probability of Jorge winning be 0.3 so ,
Probability of not winning be (1-0.3)⁷
(0.7)⁷
= 0.0823
Therefore, Jorge not winning is 0.0823.
If he wins at least one prize is,
1 - P(win nothing)
1 - 0.0823
= 0.9176
Therefore, the probability that the Jorge wins at least one prize is 0.9176.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.
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Triangle XYZ with vertices X(1,8), Y(8,7) and Z(7,-2): (x,y) -> (x-9,y-5)
Therefore, the new triangle XYZ with vertices X'(-8,3), Y'(-1,2) and Z'(-2,-7) is obtained after the transformation.
What exactly does a triangle mean?Triangles are called polygons if they have four quadrants or more. Its form is a simple geometric figure. When put together, the characters ABC create a right-angled triangle. When the boundaries are incompatible, Euclidean geometry generates a new rectangle with square corners. Triangles are regarded as polygons because they have three edges and three corners. Where a triangle's three edges intersect determines where its corners are. A triangle's interior sides add up to 180 degrees.
Here,
After the transformation, the new vertices of the triangle will be:
X(1-9, 8-5) = (-8,3)
Y(8-9, 7-5) = (-1,2)
Z(7-9, -2-5) = (-2,-7)
Therefore, the new triangle XYZ with vertices X'(-8,3), Y'(-1,2) and Z'(-2,-7) is obtained after the transformation.
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Which expression has a solution of 36, if p = 4?
Answer:
9p, because 9x4=36
Step-by-step explanation:
Identify the central angle.
Use the Screen Shot to answer
A) Angle ACB
B) Angle CAO
C) Angle AOB
D) Angle CBO
Which letter choice is correct?
what is (9t3n3)(−2t n2)?
The solution of the expression (9t³n³)(−2t n²) will be -18t⁴n⁵.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is (9t³n³)(−2t n²). The given expression will be solved as:-
E = (9t³n³)(−2t n²)
E = 9 x -2 x t³ x t x n³ x n²
E = -18 x t³⁺¹ x n³⁺²
E = -18t⁴n⁵
Therefore, the solution of the expression is E = -18t⁴n⁵.
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is it possible to have a connected graph with six (6) vertices of degrees 1, 1, 2, 2, 2, and 3? if possible, why possible explain. if not possible, why not possible explain.
No, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.
As we know that the sum of the degrees of the vertices in a connected graph must be equal to twice the number of edges.
So, in this case, the sum of the degrees must be equal to 2 * K, where K is the number of edges in the graph.
Since the degrees of the vertices are 1, 1, 2, 2, 2, and 3,
the sum of the degrees is 1 + 1 + 2 + 2 + 2 + 3 = 11.
The number of edges must be K = 11 / 2 = 5.5,
which is not possible as the number of edges must be a positive integer.
Therefore, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.
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c. Suppose the team ends up selling 78 cookies at next years's opening game. Find the percent erroe in the number of cookie that you estimated would be sold in your solution to part (b).
percent error = (a - x)/(x) * 100%, where x is the exact value and a in the aproximate value.?
The percent error would be : {c - 78}/{c} x 100
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the team ends up selling 78 cookies at next year's opening game.
Let the estimated value be {c} cookies. Now, we know -
%error = {a - x}/{x} x 100
%error = {c - 78}/{c} x 100
Therefore, the percent error would be : {c - 78}/{c} x 100.
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The function f(x) = x + 3 represents the length of a rectangle, and the function g(x) = 6x − 5 represents the width of the rectangle. What is the area of the rectangle if x = 3?
−72
19
78
117
Answer: 78
Step-by-step explanation:
(3) + 3 = 6
6(3) - 5 = 13
13 x 6 = 78
:)
Alan bought 4 pounds of red apples and g pounds of green apples. Write an expression that shows how many pounds of apples Alan bought in all.
Answer:
Step-by-step explanation:
It would be 4+g
Since we are trying to find how many lbs in total we would add the total we already know which is 4 and then add the g pounds of green apples
To calculate the total amount of apples Alan has bought, we simply apply the concept of Algebraic Expressions and add the pounds of red apples (which is 4) to the pounds of green apples (which is represented by g). This can be represented in a mathematical expression as 4 + g.
Explanation:Alan bought 4 pounds of red apples and g pounds of green apples. To find out how many pounds of apples he bought in total, we need to add the quantities together. So, the expression that shows that is 4 + g. This means that Alan bought 4 pounds of red apples and g pounds of green apples, adding those two quantities together gives the total pounds of apples he bought.
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Evaluate 8.3x + 7.5y when x = 3 and y = 4.
8.3( blank) + 7.5( blank) = blank + 30.0= Answer?
Answer:
54.9
Step-by-step explanation:
Substitute the provided values of x and y into the provided expression:
8.3(3) + 7.5(4)
= 24.9 + 30.0
= 54.9
A lottery exists where balls numbered 1 to 16 are placed in an urn. To win, you must match the balls chosen in the correct order. How many possible outcomes are there for this game?
The number of possible outcomes will be 524160.
What are permutations and combinations?When an order or sequence of arrangement is required, permutations are used. Combinations are used when there are only a limited number of possible groups to find and there is no requirement for the order or sequence of arrangements. For different kinds of things, permutations are used. Combinations are employed for similar items.
Given that a lottery exists where balls numbered 1 to 16 are placed in an urn. To win, you must match the balls chosen in the correct order.
The arrangement can be calculated as:-
¹⁶C₅ = 16 x 15 x 14 x 13 x 12
¹⁶C₅ = 524160
Therefore, the number of possible outcomes will be 524160.
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PLS HELP!!!!!!!!!!!!!!!!!
Problems 1-6
1.) Thalia is currently 104 cm tall, and the doctor tells her she can expect to grow at 2.2 cm per year for the foreseeable future. What is the function rule (equation) for this scenario?
2.) In the problem above, identify the linear function's parameters.
3.) The 2011 population of manatees in Florida was 5,067. The animal is thought to be experiencing annual exponential decay of 1.1%. What is the function rule for this scenario?
4.) In the problem above, identify the exponential function's parameters (the independent and dependent variables).
5.) Does problem 3 describe growth or decay? Why? Use a complete sentence.
6.) What is the growth or decay rate in problem 3?
Answer:The function rule for Thalia's height (h) in years (t) is h(t) = 104 + 2.2t.
The linear function's parameters are: h0 = 104 (initial height), and k = 2.2 (the rate of growth in cm per year).
The function rule for the population of manatees (P) in years (t) is P(t) = 5,067 * (1.011)^(-t), where t is the number of years passed since 2011.
The exponential function's parameters are: P0 = 5,067 (the initial population), t (the number of years passed since 2011), and k = 0.011 (the decay rate).
Problem 3 describes decay. The population of manatees is decreasing by a certain percentage each year, indicating a decrease in the number of animals over time.
The decay rate in problem 3 is 1.1% (or 0.011 in decimal form).
Step-by-step explanation:
1.) The function rule (equation) for Thalia's height over time can be modeled as h(t) = 104 + 2.2t, where h(t) is her height in cm at time t in years.
2.) In the equation for Thalia's height, 104 is the y-intercept and 2.2 is the slope.
3.) The function rule for the manatee population in Florida can be modeled as P(t) = P0 * 0.989^t, where P(t) is the population at time t in years and P0 is the initial population (5,067).
4.) In the equation for the manatee population, P0 is the initial population and 0.989 is the decay rate. The independent variable is t (time in years) and the dependent variable is P (population).
5.) Problem 3 describes decay. This is because the population of manatees in Florida is decreasing at a constant rate of 1.1% per year.
6.) The growth or decay rate in problem 3 is -1.1%.
Step-by-step explanation:
hope you appreciate it.
Need help with figuring out this question
The translated function is g(x) = ∛(x + 4) + 3, so the correct option is C.
Which function is g(x)?We can see that function g(x) is a translation of f(x), which is the parent cubic root function:
f(x) = ∛x
We can see that g(x) is a translation of 3 units up, and 4 units to the left.
Then the function will be written as:
g(x) = f(x + 4) + 3
Replacing f(x) we will get:
g(x) = ∛(x + 4) + 3
Then the correct option is C.
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what are the implications of an empty row (i.e., one with no check marks or x's) in the roof portion of the house of quality?
Implications of an empty row in the roof portion of the house of quality Customer requirements are potentially not being met by the product.
The house of quality serves as a form of conceptual road map for interfunctional communication and planning. In order to discuss design goals, people with various issues and responsibilities can refer to evidence patterns on the grid of the home.
Quality function deployment is a set of planning and communication procedures that concentrates and organises capabilities inside an organisation in order to first create, then manufacture, and finally sell products that consumers want to buy and will continue to buy. The idea that items should be high-quality is the cornerstone of the house of quality.
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x=y*10^z where 4 Find an expression for x^2 in standard form.
The expression for x² in standard form is x² = (yˣ×10)²= y²×10².
What is expression?Expression is a mathematics combination of symbol such as number and operators which produce the mathematical result and expression can involve a single trauma multiple term and usually consist of a combination of constant variables operators function.
This means that if x is given in the form of x = y×10, then x² can be expressed as y² × 10². This form is advantageous because it allows for easier manipulation of the numbers. For example, if x = 5 ×10², then x²can be expressed as (5×10²)²= 5²× 10²×²= 25 × 10⁴. This expression is much easier to understand than the expanded form of x² = 5²× 10² × 10² = 25 ×10².
In addition, this expression for x²allows for efficient calculation of larger powers of x. For example, if x = 5 ×10², then x²can be expressed as (5×10² = 5³ × 10²×³= 125 × 10⁶. This is much faster to calculate than the expanded form of x³= 5³ ×10² ×10²× 10² = 125 ×10⁶.
Therefore, the expression for x² in standard form is an effective way to manipulate and calculate larger powers of x.
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3-3×6+2=??
Answer=____?
Only for genius.90 percent are fail this question
Answer: -13
Step-by-step explanation:
A meal costs $110 plus a service charge of 18%.
Calculate the total cost of the meal
The total cost for a meal of $110 plus a service charge of 18% is $129.8.
What is the total cost of the meal?Given that, the meal costs $110 plus a service charge of 18%.
Cost of meal = $110Service charge = 18%Cost of meal = ?The total cost of the meal will be the addition of cost of meal and the service charge.
Total cost = cost of meal + service charge
Total cost = $110 + ( 18% × $110 )
Note that 18% is the same as 18/100
Total cost = $110 + ( 18/100 × $110 )
Total cost = $110 + ( 0.18 × $110 )
Total cost = $110 + ( $19.8 )
Add $110 and $19.8
Total cost = $129.8
Therefore, the total cost of the meal is $129.8.
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(2 x + 3) - (x + 2) =
Answer:
Step-by-step explanation:
X+
(2x+3)-(x+2)
First you subtract 3 by 2. You wil get 1.
They you subtract 2x by x. You will get 1
So, your answer is x+1
three married couples have bought 6 seats in the same row for a concert. in how many different ways can they be seated
The 3 couples can be seated in 20 ways.
Permutations CalculationsThe answer I provided uses the concept of permutations. In permutation, we calculate the number of arrangements or ways in which a set of elements can be arranged.
In this case, the question is asking for the number of ways in which 6 individuals (3 married couples) can be seated in a row. To find the number of arrangements, we can use the formula for permutations of multiples:
P(n, k) = n! / (n-k)!
Where n is the number of items to arrange and k is the number of identical items. In this case, n = 6 (number of individuals) and k = 3 (number of married couples).
However, we need to also account for the fact that within each married couple, the two individuals can be seated in either order. Hence, we need to divide the result by 2! for each couple, giving us the formula:
P(6, 3) / (2! * 2! * 2!) = 6! / (3! * 3!) = 20
So there are 20 different ways in which the 3 married couples can be seated in a row.
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To go from Dukeville to Karlton, you can travel along the two main high-
ways or the direct route along Valley Road.
Dukeville
Hwy 141
36 mi.
Valley Road
48 mi.
Hwy 55
Karlton
a. How long is the highway route?
b. How long is the Valley Road route? 85
c.
How many miles do you save by taking
the direct route?
According to the data, the highway is 84 miles, the length of Valley Road is 60 miles, and the shortest mile is 24 miles less than the longest.
How to calculate the length of the highway?To calculate the length of the Highway route we must perform the following mathematical procedure:
36 miles + 48 miles = 84 miles.How to calculate the length of the Valley Road Route?To calculate the length of the Valley Road Route we must perform the following mathematical procedure:
36 + 48 + c²1296 + 2304 = c²3600 = c60 milesHow many miles are saved by taking the shortest route?To calculate the length that is saved by taking the shortest route we must carry out the following mathematical procedure:
84 miles - 60 miles = 24 miles.Note: This question is incomplete due to missing information. Here is the missing information.
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multiply the following numbers -6 -2 -1
Answer: -12
Step-by-step explanation: -6*-2 = 12 and then 12*-1 = -12.
Answer: -12
Step-by-step explanation:
-6 x -2 x-1
12 x -1
-12
What is the slope of a line that is perpendicular to the line in Exercise 3?
The line perpendicular to the line with an equation y = 6x have a slope of -1/6
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
The slope intercept form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept.
Two lines are perpendicular if the product of their slopes is -1.
Line M goes through the points (0, 0) and (1, 6). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-0=\frac{6-0}{1-0} (x-0)\\\\y=6x[/tex]
The slope of the line y = 6x is 6.
The line perpendicular to y = 6x have a slope of -1/6
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let f(x) = e^x and g(x) = x + 6. what are the domain and range of (gof)(x)?
The value of the domain and the range of the composite function (gof)(x) as per f(x) = e^x and g(x) = x + 6 is equal to x∈ R⁺ ( real numbers ) and
x > 6 , x∈ R⁺ respectively.
Function f(x) is equal to e^x
Function g(x) = x + 6
Composite function (gof)(x) is equal to:
(gof)(x)
= g ( f(x))
= g ( e^x )
= e^x + 6
Domain represents all input values and range represents all output values.
Domain of the composite function (gof)(x) is equal to x∈ R⁺ (real numbers)
Range of the composite function (gof)(x) is equal to x > 6 , x∈ R⁺
Therefore, the domain and range of the composite function (gof)(x) is equal to x∈ R⁺ ( real numbers ) and x > 6 , x∈ R⁺ respectively.
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Find the rate of change between the following points:
(-3,0)
(-2,-3)
Answer:
Below
Step-by-step explanation:
Rate of change is slope = rise / run = (0 - -3) / (-3 - -2) = 3/-1 = -3
Simplify
(18a²b-9ab²)÷9ab²
Answer:
2a^2b^3−a^2b^4
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
The length of the hypotenuse is 6.4 yards.
Step-by-step explanation:
We can use the Pythagorean Theorem to evaluate the hypotenuse.
The formula for the Pythagorean Theorem is
[tex]a^2+b^2=c^2[/tex]
Where [tex]a[/tex] and [tex]b[/tex] are the legs of the triangle; and [tex]c[/tex] is the hypotenuse.
We are given the values of both legs.
[tex]a=4\\b=5[/tex]
Inserting these values into the equation gives us
[tex]4^2+5^2=c^2[/tex]
Lets solve for [tex]c[/tex].
Evaluate [tex]4^2[/tex].
[tex]16+5^2=c^2[/tex]
Evaluate [tex]5^2[/tex].
[tex]16+25=c^2[/tex]
Add [tex]16[/tex] and [tex]25[/tex].
[tex]41=c^2[/tex]
Take the square root of both sides to eliminate the exponent.
[tex]\sqrt{41} =c[/tex]
[tex]\sqrt{41}=6.40312[/tex]
Rounding to the nearest tenth leaves us with
[tex]c=6.4[/tex]
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