Answer:
$15
Step-by-step explanation:
Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (- 1, - 1)?
Answer:
y=-1x-1
Step-by-step explanation:
it should be this
Answer:
D. y+1=3(x+1)
A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table below shows the data:
Number of workers
(x) 0 10 20 30 40 50 60 70 80 90
Number of units
(y) 2 52 102 152 202 252 302 352 402 452
Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points)
Part B: Write a function which best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;
Part A:
Yes there is a strong positive correlationPart B:
The function is y = 5•x + 2Part C:
The slope indicates the number of units produced by each worker dailyThe y-intercept indicates that two units can be produced without workers.How can the existence of a correlation and the best fit function for the data be found?Part A:
The correlation is the relationship between variables based on statistical data.
From the given table, the difference between consecutive terms of the x and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.
Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10
Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50
Therefore;
There is a strong positive correlation between the number of workers, x, and the number of units produced, y.Part B:
Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the x and y-values is a linear function, which can be found as follows;
Slope of the equation, m = ∆y/∆x
Which gives;
m = 50/10 = 5
y - 2 = 5•(x - 0)
The function that best fits the data is therefore;
y = 5•x + 2Part C:
The slope of the function is the coefficient of the variable x in the equation, y = m•x + c
The slope of the plot, 5, indicates that each worker produces 5 units dailyThe y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c
The y-intercept of the linear equation, y = 5•x + 2, which is 2, indicates that the initial number of units of products at the factory before workers arrive is 2.Learn more about finding relationship between variables here:
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In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-seventh of the surviving ships were lost in a storm after the battle. Finally, the twenty-four remaining ships sailed home. How many ships were in the fleet before the engagement?
Answer:
60 ships.
Step-by-step explanation:
Let the total number of ships in the naval fleet be represented by x
One-third of the fleet was captured = 1/3x
One-sixth was sunk = 1/6x
Two ships were destroyed by fire = 2
Let surviving ships be represented by y
One-seventh of the surviving ships were lost in a storm after the battle = 1/7y
Finally, the twenty-four remaining ships sailed home
The 24 remaining ships that sailed home =
y - 1/7y = 6/7y of the surviving fleet sailed home.
Hence
24 = 6/7y
24 = 6y/7
24 × 7/ 6
y = 168/6
y = 28
Therefore, total number of ships that survived is 28.
Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4
Total number of ships in the fleet(x) =
x = 1/3x + 1/6x + 2 + 28
Collect like terms
x - (1/3x + 1/6x) = 30
x - (1/2x) = 30
1/2x = 30
x = 30 ÷ 1/2
x = 30 × 2
x = 60
Therefore, ships that were in the fleet before the engagement were 60 ships.
Solve the following system of equations using the substitution method.
y = -2
4x - 3y = 18
A) (-3,2)
B) (3,-6)
C) (3,6)
D) (3,-2)
Choose all the equations that are true if y = 6.
52.37 – 46.37 = y
2 / 3 y = 4 1/2
8y = 48
3.2 + y = 9
y = 4 = 24
Answer:
The first and third.
Step-by-step explanation:
For the first one, you just subtract 52.37 and 46.37 and the answer is 6, so that makes the equation 6=y, which is right. The second one equals 6.75, so that's not what we need. For the third one, you divide by 8 on both sides to isolate y, and that results in y=6, which is right. For the fourth one you subtract by 3.2 on both sides to isolate y and that results in 5.8, which isn't what we need. I think for the last one you meant to type y=4+24, in which case that would be y=28, which isn't what we need.
can someone help me with this? thank you!
Answer:
240cm³
Step-by-step explanation:
To find our answer we will multiply the volume, width, and height.
4 · 20 · 3 = 240. Therefore, 240cm³ is our answer.
Have a good day!
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's calculate its volume ~
Volume of a rectangular prism is :
\(\qquad \sf \dashrightarrow \:v = l \cdot w\cdot h\)
\(\qquad \sf \dashrightarrow \:v = 20 \cdot 4\cdot 3\)
\(\qquad \sf \dashrightarrow \:v = 240 \: \: cm {}^{3} \)
Triangles ABC and XYZ are similar. Find side x. Triangle ABC: 12, 18, 9. Triangle XYZ: 4, x,
The value of x is 6 using similarity of triangle.
What is Similarity of triangle ?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose forms are similar to one another.
Properties:
Despite having the same form, each might have different sizes.There are no matching angles that are not equal.Similar equivalent side ratios exist.side AB is proportional to side XY
side AC is proportional to side XZ
Since we know side AB and side XY are proportional to each other, if we divide side AB by side XY, we can find the size difference...
12 / 4 = 3
The smaller triangle is 3 times smaller than the bigger triangle so we can find side XZ by dividing side AC by 3...
18 / 3 = 6
x = 6.
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Math is not my strong suit could I get some help
Answer:
4!!!!!!!!!!!!!!!!!!!!!!!
Of the 117 students enrolled in Ms. Manzi's physics
classes this semester, 15 students
already
completed a precalculus course. Among the remaining
students, 72 students are taking precalculus currently.
When 1 of Ms. Manzi's physics students is selected at
random, what is the probability that the student has
NOT already completed precalculus and is NOT taking
it currently?
0.2564 or 25.64%.
Explanation:
Out of the 117 students, 15 have already completed precalculus and 72 are currently taking it. So, the number of students who have either already completed precalculus or are currently taking it is:
15 + 72 = 87
The number of students who have not already completed precalculus and are not currently taking it is:
117 - 87 = 30
So, the probability that a randomly selected student has not completed precalculus and is not currently taking it is:
30/117 = 0.2564 (rounded to four decimal places)
So, the probability that a randomly selected student has not completed precalculus and is not currently taking it is approximately 0.2564 or 25.64%.
A group of researchers investigated the effect of media usage (whether or not subjects watch television or use the Internet) in the bedroom on "Tiredness" during the day (measured on a 50 point scale
a. Identify each of the variables, state whether the variables are quantitative or categorical, and identify each variable as either explanatory or response variables. nterviewed
b. To collect these data, the researchers randomly selected homes to visit and i the adult member of the household whose birthday was nearest. Is this an experiment or an observational study? Briefly explain.
YES, This is an observational study.
The variables in this study are:
Media usage: categorical (explanatory variable)
Tiredness: quantitative (response variable)
This is an observational study. The researchers are observing and measuring the relationship between media usage and tiredness, but they are not manipulating or controlling any variables. They are collecting data by randomly selecting homes to visit and interviewing the adult member of the household whose birthday was nearest.
An observational study draws conclusions from a sample of a population in disciplines like epidemiology, social sciences, psychology, and statistics when the independent variable is not under the researcher's control due to ethical considerations or practical limitations. One typical observational study examines how a therapy may affect its participants, but the researcher has no control over which group the subjects are assigned to—the treated group or the control group. Unlike experiments like randomized controlled trials, when each subject is arbitrarily assigned to either a treated group or a control group, this does not happen. Observational studies naturally create challenges for inferential analysis because they lack an assignment mechanism.
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how many nonisomorphic simple graphs are there with n vertices, when n is a) 2? b) 3? c) 4?
Answer:
Step-by-step explanation: is (2 b)
a square with an area of 144 cm² is reduced by a factor of 1/3 how long are the new sides of the square?
Answer:
4 cm
Step-by-step explanation:
The square root of 144 is 12 (12 x 12 = 144) so we know our sides of the square are 12 cm²
12 / 3 = 4
(\(\frac{12}{1} x \frac{1}{3}\))
The sides of the new square are 4 :)
Hope this helps and is correct, have a nice day! :D
Please Help!! :)
Write the contrapositive of the given conditional statement.
Conditional Statement: "If a shape has four sides, then the shape is a rectangle."
Answer:
"If the shape is not a rectangle, then the shape doesn't has four sides."
Step-by-step explanation:
Given conditional statement is,
" Is a shape has four sides, then the shape is a rectangle."
Here we have two statements:
Statement p → A shape has four sides
Statement q → The shape is a rectangle.
Contrapositive of the statement will be:
If \(\sim q\) then \(\sim p\).
Therefore, contrapositive will be,
"If the shape is not a rectangle, then the shape doesn't has four sides."
Can someone please help me please!!
Answer:
137 i am sorry if incorrect
Step-by-step explanation:
What is the simplest form of the product 3 sqrt 4x^2.
Answer:
6x
Step-by-step explanation:
\(\sqrt{4x^2}\) = \(\sqrt{4}\) × \(\sqrt{x^2}\) = 2 × x = 2x
Then
3\(\sqrt{4x^2}\)
= 3 × 2x
= 6x
a) There exists a simple graph with 6 vertices, whose degrees are 2,2,2,3,4,4. b) There exists simple graph with 6 vertices whose degrees are 0,1,2,3,4,5 c) There exists simple graph with degrees 1,2,2,3 d) A graph containing an Eulerian circuit is called an Eulerian graph. If 61 and 62 Are Eulerian graph, and we add the following edges between them, then resulting graph is Eulerian: 6
No simple graph with six vertices and the above degrees exists.Graph with 6 vertices with degrees 0, 1, 2, 3, 4, 5.For a simple graph, the sum of the degrees of all vertices must be even.The resulting graph is also an Eulerian graph.
a) There exists a simple graph with 6 vertices, whose degrees are 2,2,2,3,4,4.
The given degrees 2, 2, 2, 3, 4, 4 sum up to 17, which is an odd number.
A simple graph with six vertices whose degrees are all even must have a sum of degrees of 6 × 2 = 12, which is even.
Therefore, no simple graph with six vertices and the above degrees exists.
b) There exists a simple graph with 6 vertices whose degrees are 0, 1, 2, 3, 4, 5.
The sum of degrees of vertices in a graph is twice the number of edges, so there are a total of 2 × (0 + 1 + 2 + 3 + 4 + 5) = 30 degrees in this graph.
For the graph to be simple, there can be a maximum of one vertex of degree 5 and one vertex of degree 0.
The graph may be formed by starting with a vertex of degree 5, and joining it to the vertices of degrees 4, 3, 2, 1, and 0 in turn.
The resulting graph is shown in the following figure:Graph with 6 vertices with degrees 0, 1, 2, 3, 4, 5
c) There exists a simple graph with degrees 1, 2, 2, 3.
The degree sequence has an odd sum, so no simple graph can have that degree sequence.
This is because, for a simple graph, the sum of the degrees of all vertices must be even.
d) A graph containing an Eulerian circuit is called an Eulerian graph.
If 61 and 62 Are Eulerian graph, and we add the following edges between them, then the resulting graph is Eulerian:6For 6 to be added as an edge to both 1 and 2, they must have even degree.
Since they were originally Eulerian graphs, each vertex already had even degree.
After 6 is added as an edge to both vertices, it becomes possible to start at one vertex and traverse the graph by using edges that have not been used before and eventually return to the starting vertex.
Hence, the resulting graph is also an Eulerian graph.
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Simplfy 7xy + 8x + 5xy + 6x
Answer:
12xy+14x
Step-by-step explanation:
12xy+14x
Hope this helps :3
Answer:
12xy + 14x
Step-by-step explanation:
I believer this is correct
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?
96 square ft
Step-by-step explanation:
UKMT Q8??? I have inserted the photo of the question
Answer: The distance is 15 units.
Step-by-step explanation:
Let's define the bottom left corner of the left rectangle as the point (0, 0).
we know that the rectangles are of 10 by 14, then the point O will be exactly on the middle of these two quantities (because the long side is on the horizontal axis, the point O could be written as):
O (7, 5)
Point M is on the top of the rectangle, then we know that the y component will be equal to 14.
And the x component is on the middle of the rectangle (this side is the one that measures 10 units)
the middle is 5.
And we also need to add the 14 units of the other rectangle that is lying down, then the x-component of this rectangle is 14+ 5 = 19
The point M is (19, 14)
We want to find the distance between the points (7, 5) and (19, 14)
We know that the distance between points (a, b) and (c, d) is:
Distance = √( (a - c)^2 + (b - d)^2)
In this case, the distance between points O and M will be:
distance = √( (7 - 19)^2 + (5 - 14)^2) = 15
Distance between points O and M is 15 units.
Please help me answer this question fast!!!!!!
What is a solution?
Answer:
A solution is a the thing you get when you do a math question
Step-by-step explanation:
Answer:
In math, it is the answer to a problem or question
In chemistry, a solution is a homogeneous mixture of two or more substances.
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
It would take \(2.7\) seconds, correct to 1 decimal place/nearest tenth.
Step-by-step explanation:
Step 1: Understanding the formula
The formula is given as \(h=16t^{2}\), where \(h\) represents the height, and \(t\) represents the time.
Step 2: Substituting and solving
The question asks for the time that would take when the height is \(117~\text{feet}\).
So, substitute \(117\) for \(h\) in the formula, since \(h\) denotes the height:
\(h=16t^{2}\\117=16t^{2}\)
Now, let's solve the equation to find the time, \(t\):
\(117=16t^{2}\\\\\text{Divide by 16 on both sides of the equation:}\\\frac{117}{16}=\frac{16t^{2}}{16}\\\\\text{Simplify:}\\7.3125=t^{2}\\\\\text{Square root both sides of the equation:}\\\sqrt{7.3125}=\sqrt{t^{2}}\\\\\text{Calculate:}\\2.7 \approx t\\\\\text{Rearrange the equation:}\\t\approx2.7\)
So, it takes about \(2.7\) seconds to travel \(117\) feet, according to the formula.
If X is a normal random variable that has mean = 20 and standard deviation = 2, the standardized value of X = 16 is ? The normal distribution with parameter values mean = 0 and standard deviation = 1 is called a standard normal distribution.?
The standardized value of X = 16, given that X is a normal random variable with mean = 20 and standard deviation = 2, is -2.
To find the standardized value of X = 16, we need to convert it into a standard normal random variable by using the formula for standardization.
The standardization process involves subtracting the mean of the random variable and dividing by its standard deviation.
Given that X has a mean of 20 and a standard deviation of 2, the formula for standardization is:
Z = (X - μ) / σ
Where Z represents the standardized value, X is the original random variable, μ is the mean, and σ is the standard deviation.
Plugging in the values, we have:
Z = (16 - 20) / 2
Z = -4 / 2
Z = -2
Therefore, the standardized value of X = 16 is -2.
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find the area of the trapezoid below by decomposing it into fimilar shape?
Answer:
168 feet
Step-by-step explanation:
area of trapezoid = length (a)+ breadth(b) / 2 height
Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?
Answer:
1
Step-by-step explanation:
The leading coeffecient is the number behind the x^2 value. There is an imaginary one there.
NO LINKSS PLS!!! Help a girl out plsss I need to passThe following comparative stem-and-leaf plot represents the ages in years)
of the members of two professional basketball teams. Which of the following
statements is correct?
Answer:
B
Step-by-step explanation:
A bakery sells two types of cakes, chocolate and vanilla. The chocolate cakes sell for $5 each, and the vanilla cakes sell for $3 each. If the bakery sold a total of 50 cakes and earned $200 in total sales, how many of each type of cake did they sell?
Step-by-step explanation:
Let's use "x" to represent the number of chocolate cakes sold and "y" to represent the number of vanilla cakes sold.
From the problem statement, we know that the bakery sold a total of 50 cakes, so we can set up an equation:
x + y = 50
We also know that the total sales were $200. If the chocolate cakes sold for $5 each and the vanilla cakes sold for $3 each, we can set up another equation for the total sales:
5x + 3y = 200
We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:
y = 50 - x
Substituting this expression for y into the second equation, we get:
5x + 3(50 - x) = 200
Simplifying this equation, we get:
2x + 150 = 200
2x = 50
x = 25
So the bakery sold 25 chocolate cakes. To find the number of vanilla cakes sold, we can substitute x = 25 into the equation y = 50 - x:
y = 50 - 25
y = 25
So the bakery also sold 25 vanilla cakes.
Therefore, the bakery sold 25 chocolate cakes and 25 vanilla cakes.
Just answer the question thanks.
The distance in meters that was traveled is given as 300 meters
How to solve for distanceAcceleration = 60 / 40
= 3 / 2
When the velocity that we have in the graph is 30 m/s the time in seconds is twenty seconds
We have to use the formula s = 1 / 2 a t ^2
= 1 / 2 x 3 / 2 x 20^2
= 1200 / 4
= 300 meters
Hence the train traveled for a distance of 300 meters
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Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She can earn up to $175 per week (including the
allowance).
- How many hours per week can Lin work? Explain or show your reasoning,
Answer:
Step-by-step explanation:
y=8.25x+10
20 hours
8.25*20 is 165
165+10 is 175
solve by substitution
x=1+6y, x+2y=9
x = 1 + 6y
x = 9 - 2y
1 + 6y = 9 - 2y
8y = 8
y = 1
x = 8