Answer:
686 cm^2
Step-by-step explanation:
4(7)=28
7(7)=49
49 x 28= 1372
1372/2=686
hopes this helps
Will left out a statement from the proof shown. Which statement is best explained
by the alternate interior angles postulate?
PHOTO ABOVE
Answer:
i think 3
Step-by-step explanation:
Events F, G, and H are such that
P(F) = 0.7
P(G) =0.6
P(H) = 0.5
P(FG) = 0.4
P(FH) = 0.3
P(GH) = 0.2
P(FGH) = 0.1
------------------
Find:
P(F'G'H)
(F' means complement of F) and can you draw a venn diagram aswell? Thanks)
(F' means complement of F) is: The probability of F' would be the probability of F not occurring, which is 1-P(F).
The best way to answer this question is to use a Venn diagram to represent the events F, G, and H. F' would represent the complement of F, which means that the event would occur if F does not occur. Using the Venn diagram, you can see that P(GH) = 0.2 means that G and H intersect in the diagram.
The intersection of G and H would represent the probability of both G and H occurring at the same time, which is 0.2. The diagram is below:The total probability of the events occurring together is represented by the shaded area in the Venn diagram. In this case, the shaded area is 0.2, which means that the probability of events G and H occurring together is 0.2.
Since F' is the complement of F, it would be represented by the empty area outside of F. The probability of F' would be the probability of F not occurring, which is 1-P(F).
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a) 5x-12=2x-3
b) 8x+2=5x+8
c) 7x-5=4x-2
please
What's the question?
What are we supposed to do?
May I please receive help?
Answer:
a: x=22
b: c=31 d=61 e=88
Step-by-step explanation:
For "a"
Step 1: (x+9)+(3x-5)+(4x)=180
Step 2: 8x + 4 =180
Step 3: x=22
For "b"
Step 1: (22+9)= 31 for "c"
Step 2: 3x22-5= 61 for "d"
Step 3: 4x22= 88 for "e"
Louis wants to make a scale drawing of his bathroom. The room is 12 feet long by 8 feet wide. If he uses a scale of 1cm = 4ft, how big would the bedroom be in the scale drawing?
Jingle Corporation produces toy footballs. Each football sells for $9. 95 with a variable unit cost of $7. 10. Assuming a fixed cost of $11,400 what is Jingle's breakeven point?.
Answer:
Jingle's breakeven point is achievable if 4000 units are sold.
Step-by-step explanation:
how to find what is the value of the correlation coefficient?
The value of the correlation coefficient is represented by the symbol "r." It is a statistical measure that determines the degree of correlation or association between two variables.
There are various methods of calculating r, but the most common one is the Pearson correlation coefficient. To calculate the Pearson correlation coefficient, follow these steps:
Step 1: Collect the data for the two variables you want to determine the correlation for. The data should be continuous and normally distributed.
Step 2: Calculate the mean of both variables.
Step 3: Calculate the standard deviation of both variables.
Step 4: Calculate the covariance of the two variables using the formula below: `Cov(X, Y) = Σ [(Xi - Xmean) * (Yi - Ymean)] / (n-1)
`Step 5: Calculate the correlation coefficient using the formula below: `r = Cov(X, Y) / (SD(X) * SD(Y))` where r is the correlation coefficient, Cov is the covariance, SD is the standard deviation, X is the first variable, Y is the second variable, Xi and Yi are the individual values of X and Y, X mean and Y mean are the means of X and Y, and n is the number of observations. The resulting value of r ranges from -1 to +1. A value of -1 indicates a perfect negative correlation, a value of 0 indicates no correlation and a value of +1 indicates a perfect positive correlation.
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Move values to the lines to complete the sentence about triangle p’ q’ r’
I need help worth 20 points
Answer:
a
Step-by-step explanation:
LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm, and
The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.
Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:
x² + (LV/2)² = DV²/4
y² + (OE/2)² = LE²/4
Simplifying each equation and substituting the given values, we get:
x² + (LV/2)² = 81/4
y² + (OE/2)² = 225/4
We also know that the diagonals bisect each other, so we can set up another equation:
LV/2 + OE/2 = LO = VE
Substituting the given value for LE, we get:
LV/2 + OE/2 = 15
Solving this equation for one of the variables, we get:
LV = 30 - OE
Substituting this expression into the first equation above, we get:
x² + ((30 - OE)/2)² = 81/4
Simplifying and rearranging, we get:
OE² - 60OE + 675 = 0
Using the quadratic formula, we get:
OE = (60 ± √(3600 - 2700)) / 2
OE = 15 or 45
If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:
x² + 7.5² = 81/4
y² + 7.5² = 225/4
Solving these equations, we get:
x = 3√7
y = 9/√7
If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:
LV = OE = 15
x = 3√7
y = 9/√7
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Complete question:
LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.
At Al's farm 15 oranges cost, $2.25, How much does 1 cost?
Answer:
15 cents
Step-by-step explanation:
2.25 /15 = .15
Amanda wants to showcase her favorite function:f(x) = 1+√x +5. She has built a function machine that performs these operations on the input values. Her brother Eric is always trying to mess up Amanda's stuff, so he created the inverse of f(x), called it e(x), and programmed it into a machine.
a. What is Eric's equation for his function e(x)?
b. What happens if the two machines are pushed together? What is e(f(-4))? Explain why this happens.
c. If f(x) and e(x) are graphed on the same set of axes, what would be true about the two graphs?
d. Draw the two graphs on the same set of axes. Be sure to show clearly the restricted domain and range of Amanda's function.
If f(x) and e(x) are graphed on the same set of axes, they would be reflections of each other over the line y = x.
What is Function ?
Function can be defined in which it relates an input to output.
a. To find the inverse of a function, we need to interchange x and y and solve for y. Therefore, we have:
x = 1 + √y + 5
Subtracting 1 from both sides, we get:
x - 1 = √y + 5
Subtracting 5 from both sides, we get:
x - 6 = √y
Squaring both sides, we get:
\((x - 6)^2 = y\)
Therefore, Eric's equation for his Fe(x) is:
\(e(x) = (x - 6)^2\)
b. If we push the two machines together and input -4 into f(x), we get:
f(-4) = 1 + √(-4) + 5
= 1 + 2i + 5
= 6 + 2i
Then, if we input this result into e(x), we get:
\(e(f(-4)) = (6 + 2i - 6)^2\)
= \((2i)^2\)
= -4
This happens because Eric's function e(x) is the inverse of Amanda's function f(x), so e(f(x)) = x for all values of x in the domain of f(x). In this case, -4 is in the domain of f(x), so e(f(-4)) = -4.
c. This is because the inverse function reverses the input and output values of the original function, so the graphs of the two functions must be reflections of each other over the line y = x.
Therefore, If f(x) and e(x) are graphed on the same set of axes, they would be reflections of each other over the line y = x.
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Suppose events E and are mutually exclusive; with P (F) = 0.55 and P(EU F) = 0.85. Calculate the following and enter your answer one digit per box (Please simplify your numbers to the extent possible): The odds for E are: b) The odds ggainst E are: Question 26 4 pts Suppose events E and are mutually exclusive; with P(F) = 0.12 and P (EU F) 0.98 Calculate the following and enter your answer one digit per box (Please simplify your numbers to the extent possible): The odds for E are: b) The odds against E are: to
The probability The odds for E are: 0.13 The odds against E are: 0.87.
When two events are mutually exclusive, it means that they cannot happen at the same time. Therefore, the probability of their union (E U F) is simply the sum of their individual probabilities:
P(E U F) = P(E) + P(F)
We are given that P(F) = 0.55 and P(E U F) = 0.85, so we can use the above equation to solve for P(E):
0.85 = P(E) + 0.55
P(E) = 0.3
Now, to find the odds for E, we need to use the formula:
odds for E = P(E) / (1 - P(E))
Substituting the value of P(E) that we just found, we get:
odds for E = 0.3 / (1 - 0.3) = 0.43
To find the odds against E, we simply subtract the odds for E from 1:
odds against E = 1 - odds for E = 1 - 0.43 = 0.57
Therefore, the answers to the given problem are:
The odds for E are: 0.43
The odds against E are: 0.57
Using the same method for the second problem, we get:
P(E) = 0.12
odds for E = 0.13
odds against E = 0.87
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evaluate r(x) = -x -7 when x = -2, 0, and 5
Answer:
r(-2) = -5 , r(0) = -7 , r(5) = -12
Step-by-step explanation:
Plug in the numbers for x and then solve. : )
r(-2) = - (-2) - 7
r(-2) = 2 -7
r(-2) = -5
r(0)= -0 -7
r(0)=0-7
r(0) = -7
r(5) = -5 - 7
r(5) = -12
The values of r(x) for x = - 2, 0 and 5 are obtained by Substituting the values for x in the function, hence the values are :
r(-2) = -9r(0) = -7r(5) = -2When x = - 2
Substitute the value of x = - 2 into the function r(x) = - x - 7 r(-2) = - 2 - 7 = - 9When x = 0
Substitute the value of x = 0 into the function r(x) = - x - 7 r(-2) = 0 - 7 = - 7When x = 5
Substitute the value of x = 5 into the function r(x) = - x - 7 r(-2) = 5 - 7 = - 2Therefore, the required values are - 9, - 7 and - 2
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A car travels 4.5 miles in 5 minutes. Workout the average speed in miles per hour
Answer:
0.9
Step-by-step explanation:
a. Find dy/dx of the following implicit function: T(x+y²) /y-x² (x+2)
b. Using the L'Hopital's Rule, evaluate the following lim x→2+: Tln(x - 2) /In (x² - 4)
a. To find dy/dx of the given implicit function T(x+y²)/(y-x²)(x+2), we can use the quotient rule. Applying the quotient rule, we differentiate the numerator and denominator separately with respect to x, treating y as a constant. Simplifying the expression gives us the final result for dy/dx in terms of T'(x+y²).
b. To evaluate the limit lim x→2+ Tln(x - 2) / In(x² - 4) using L'Hôpital's Rule, we differentiate the numerator and denominator with respect to x. Applying the rule repeatedly until we reach an indeterminate form, we differentiate the numerator and denominator multiple times. Finally, we substitute x = 2 into the expression to obtain the value of the limit.
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Use induction to prove that if a graph G is connected with no cycles, and G has n vertices, then G has n 1 edges. Hint: use induction on the number of vertices in G. Carefully state your base case and your inductive assumption. Theorem 1 (a) and (d) may be helpful.Let T be a connected graph. Then the following statements are equivalent:
(a) T has no circuits.
(b) Let a be any vertex in T. Then for any other vertex x in T, there is a unique path
P, between a and x.
(c) There is a unique path between any pair of distinct vertices x, y in T.
(d) T is minimally connected, in the sense that the removal of any edge of T will disconnect T.
if a graph G is connected with no cycles, and G has n vertices, then G has n-1 edges.
We will prove by induction on n that if a graph G is connected with no cycles, and G has n vertices, then G has n-1 edges.
Base Case: If G has only one vertex, then there are no edges and the statement holds.
Inductive step: Assume that the statement holds for all connected acyclic graphs with k vertices, where k is some positive integer. Consider a connected acyclic graph G with n vertices. Let v be a vertex of G. Since G is connected, there is at least one vertex u that is adjacent to v. Let G' be the graph obtained from G by deleting v and all edges incident to v. Then G' is a connected acyclic graph with n-1 vertices. By the inductive assumption, G' has n-2 edges. Since G has n vertices and v is adjacent to at least one vertex, G has n-1 edges. Therefore, the statement holds for G.
By mathematical induction, if a graph G is connected with no cycles, and G has n vertices, then G has n-1 edges.
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What happen in meiosis 1 and meiosis 2?
In meiosis 1, the number of cells is doubled but the number of chromosomes is not. This results in 1/2 as many chromosomes per cell.
in meiosis 2, the number of chromosomes does not get reduced. The phases have the same names as those of mitosis.
Chromosomes
Chromosomes are threadlike structures made of protein and a single molecule of DNA that serve to carry the genomic information from cell to cell.
DNA
DNA, or deoxyribonucleic acid, is the hereditary material in humans and almost all other organisms. Nearly every cell in a person’s body has the same DNA.
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.Which of the following is true about simple linear regression and correlation?
i) The least-squares regression line always goes through the point with coordinates left parenthesis x with bar on top comma space top enclose y right parenthesis
ii) If the correlation between response and predictor is greater than 0, then the slope of the least squares regression line is always positive
iii) The least-squares regression line minimizes the summation of residuals
a. Both i) and ii)
b. Both i) and iii)
c. Only ii)
d. i), ii), and iii)
e. Only i)
f. Both ii) and iii)
g. Only iii)
The statements that are true about simple linear regression and correlation are Both i) and iii). option b is correct.
Which statements are true about simple linear regression and correlation?
Statement i) The least-squares regression line always goes through the point with coordinates \((\bar{X}, \bar{Y})\)
Statement iii) The least-squares regression line minimizes the summation of residuals.
To determine the true statements, let's analyze each option:
i) The least-squares regression line always goes through the point with coordinates \((\bar{X}, \bar{Y})\) : This statement is true. The least-squares regression line is calculated to pass through the point with the mean of the predictor variable \((\bar{X})\) and the mean of the response variable \((\bar{Y})\).
ii) If the correlation between response and predictor is greater than 0, then the slope of the least squares regression line is always positive: This statement is not necessarily true. The correlation between the response and predictor variable indicates the strength and direction of the linear relationship, but it doesn't determine the sign of the slope.
iii) The least-squares regression line minimizes the summation of residuals: This statement is true. The least-squares regression line is the line that minimizes the sum of the squared residuals, which are the differences between the observed and predicted values.
Based on the analysis, both statement i) and statement iii) are true.
Therefore, the answer is that both i) and iii) are true about simple linear regression and correlation, which is option b)
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Plz answer!! What is 35% of 75
It's 26.25.
Step-by-step explanation:
Hope this helps! :)
Solve for x on each of these questions please!
Answer:
1. x = 10
2. x = 4
Step-by-step explanation:
I use the angle ABC method:
AB² + AC² = BC²
6² + 8² = x²
x = 10
AB² + AC² = BC²
3² + x² = 5²
x = 4
HOPE THIS HELPS AND HAVE A NICE DAY <3
The function f(x)=200/x + 10 models the cost per student of a field trip when x students go on the trip. How is the parent function f(x)=1/x transformed to create the function f(x)=200/x + 10
Answer:
Step-by-step explanation:
We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.
1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.
2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.
what is the equation of a line that is parallel to y=35x−7 and passes through (15, 8)? enter your answer in the box.
Answer:
y = 35x - 517.
Step-by-step explanation:
y=35x−7
This line has a slope of 35so we can write a line parallel to it as
y - y1 = 35(x - x1) where (x1, y1) is a point on the line.
We are given this point (15, 8), so:
y - 8 = 35(x - 15)
y = 35x - 525 + 8
y = 35x - 517 is the required equation.
between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year
Explanation:
2008 - 2002 = 6 years have passed
In that time frame, we lost 26 cubic miles of ground water.
This means we lost about 26/6 = 4.333 cubic miles of ground water per year.
this is my little brothers work n I don’t even understand it either helpppp
Answer:
92
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
4+4+4 is 12. So you carry the 1 to the tenths place and keep the 2.
(1)
64
14
+14
------
2
Then you add 1+6+1+1, which is 9.
(1)
64
14
+14
------
92
An 8-yard roll of tape costs $3.04. What is the unit price?
The unit price for the tape is $0.38 or 38 cents per yard.
The unit price is the price of one unit of measurement for a particular substance.
The unit price of a substance is used to calculate the total cost of a particular substance or the cost of a fraction of a substance.
Unit price is calculated by dividing the total cost by the total quantity of the product.
The given price of the product is $3.04 for a 8-yard roll of tape.
So to find the unit price we divide the total cost by the total length to find the cost of 1 yard of tape.
Unit price = $3.04 ÷ 8
or, Unit price = $ 0.38
Therefore the unit price of the tape is $0.38 or 38 cents.
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Please help me, thank you :)
Answer:
14+14 + 4pi= 28 + 4pi
\(\pi\)
Ten years after 850 high school seniors graduated ,400 had a college degree and 310 were married. Half of the students with a college degree were married. What is the probability that a student does not have a college degree
0.529 is the probability that a student does not have a college degree.
From the information given, we know that:
P(B) = 310/850P(A and B) = P(B) - P(college degree and B)P(college degree and B) = P(B|college degree) * P(college degree)P(B|college degree) = 1/2 (since half of the college graduates are married)P(college degree) = 400/850The formula for conditional probability:
P(A|B) = P(A and B) / P(B)
Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).
Using these values, we can calculate:
P(college degree and B) = (1/2) * (400/850) = 0.235
P(A and B) = 310/850 - 0.235 = 0.07
Finally, we can calculate P(A) using the formula for total probability:
P(A) = 1 - P(college degree)
= 1 - (400/850)
= 0.529
Therefore, the probability that a student does not have a college degree is 0.529.
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determine which function has the greater rate of change in problems 1−3
1.
x y
-------
-1 0
0 1
1 2
2 3
(1 point)
The rates of change are equal.
The graph has a greater rate of change
The table has a greater rate of change.
none of the above
2. y = 2x + 7
The slopes are equal.
The graph has a greater slope.
The equation has a greater slope.
none of the abov
3. As x increases by 1, y increases by 3
The slopes are equal.
The graph has a greater slope.
The function rule has a greater slope.
none of the above
The table has a greater rate of change.
The rates of change are equal.
In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.
The slopes are equal.
The equation has a greater slope.
In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.
The function rule has a greater slope.
The slopes are equal.
In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.
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which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2
Answer:
For a general quadratic equation like:
y = a*x^2 + b*x + c
a is the leading coefficient.
And we define the vertex of this as (h, k)
Where h is:
h = -b/(2*a)
and k is the y-value given when we use x = h.
Now, in this case we have:
f(x) = 5*x^2
We can see that the leading coefficient is 5, then a = 5.
To find the value of h we use:
h = -b/(2*a)
there is no lineal term, thus b = 0, then:
h = -0/(2*5) = -0/10 = 0
and k is given by
f(h) = f(0) = 5*0^2 = 0
then k = 0.
Concluding:
a = 5
h = 0
k = 0