p = 12. we can get this answer just b y simplifying the given algebraic equation
what is algebraic equation ?
An algebraic equation is a mathematical statement that describes the relationship between two or more quantities using algebraic symbols and operations. These equations typically involve one or more variables, which represent unknown values that need to be determined.
In the given question,
To solve for p, we need to isolate the variable p on one side of the equation.
We can do this by dividing both sides by 5:
5p = 60
p = 60/5
p = 12
Therefore, p = 12.
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how does this function compare to the logistic mean response function in part (a) of problem 14.4? b. for what value of x is the mean response equal to .5?
This function compare to the logistic mean response function in part is as following:
The equation is, E{Yi} = πi = Fl = (β0 + β1xi)
E{Yi} = Exp(βo + β1Xi) / 1 + Exp(βo + β1Xi)
A) plot the logistic mean response function. When βo = 20 and β1 = -0.2
Let,
E{Yi} = Exp(βo + β1Xi) / 1 + Exp(βo + β1Xi)
where,
βo = 20
β1 = -0.2
E{Yi} = 1/2
Xi = 100
B) = For what value of X is the mean response equal to 0.5
Mean response = 1/2
= E{Yi} = Exp(βo + β1Xi) / 1 + Exp(βo + β1Xi)
= 1/2
= Exp(βo + β1Xi)
Xi = -βo/β1
c) The odds when x = 125, when x = 126 and the ratio of the odds, when x = 126 to odds when x = 125
Odd = \(e^{\beta o + \beta 1 Xi}\)
Odd(125) = \(e^{\beta o + \beta 1 125}\)
odd(126) = \(e^{\beta o + \beta 1 +126}\)
Rate of odd = Odd126/odd125
Rate of Odd = \(e^{\beta 1}\)
One of the most popular techniques in data mining in general and binary data categorization in particular continues to be logistic regression (LR). The primary goal of this study is to provide an overview of the key LR features when applied to data analysis, specifically from an algorithmic and machine learning standpoint.
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Complete question:
a. Plot the logistic mean response function (14.16) when = 20 and β,--.2
b. For what value of X is the mean response equal to.5:?
c. Find the odds when X 125, when X-126, and the ratio of the odds when X-126 to the odds when X-125. Is the odds ratio equal to exp(B,) as it should be?
Write the inequality given in the diagram below
Answer:
x < 2
Step-by-step explanation:
the open circle above 2 on the number line indicates that x cannot equal 2
the arrow points left indicating values of x are less than 2 , that is
x < 2
The sequence -20,-18 -16 -14 is
Answer:
linear
Step-by-step explanation:
To complete the sentence:
because it has a continuous jumps of +2
Solve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly
producer is given by the function C(x)=0.8x + 40,000. Find C(50,000), the cost of producing 50,000
jars.
A) $40.80
B) $80,000 C)$50,040
D) $40,000
Answer: 80,000
Step-by-step explanation:
Plug in 50,000 where the x are and then just solve from there
Which set of statements would describe a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles
which subshell (for example, 1s) is designated by each set of quantum numbers below?
The subshell designated by each set of quantum numbers is as follows:
a) n=3, l=1 -> 3p subshell
b) n=4, l=2 -> 4d subshell
c) n=2, l=0 -> 2s subshell
d) n=5, l=3 -> 5f subshell
In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.
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5 (x-9) =55 A subtract 5 B divide 5 C add 9 D subtract 55
The operation carried out is divide 5. option B
What is an algebraic expression?An algebraic expression is described as an expression consisting of variables, terms, coefficients, constants and factors.
These algebraic expressions are also made of arithmetic or mathematical operations, such as;
DivisionMultiplicationAdditionSubtractionParenthesesBracket, etcFrom the information given, we have that;
5(x-9) =55
Divide both sides by 5, we have;
x - 9 = 55/5
Find the value
x - 9 = 11
collect like terms
x = 11 + 9
x = 20
Hence, the value is 20
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ad←→ is tangent to circle b at point c. the measure of ∠abc is 40º. what is the measure of ∠bac?
the measure of ∠bac, which is formed by the radius of the circle and the tangent line, is also 90º. This is because ∠bac and ∠abc are complementary angles, meaning their measures add up to 90º.
When a tangent line is drawn to a circle at a specific point, it forms a right angle with the radius of the circle that passes through that point. In this case, the tangent line ad←→ is drawn to circle b at point c. The angle ∠abc is given as 40º.
Since ∠abc is formed between the tangent line ad←→ and the radius of the circle that passes through point c, it is a right angle. By definition, a right angle measures 90º.
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Two functions are given below. Make sure to explain!
Answer:
B. The graph of p is less steep than the graph of q.
Step-by-step explanation:
We can start by looking at each equation's y-intercepts, which are both -3/11, eliminating option A.
Next, we take a look at each equation's slope to see which is larger.
5/8 is 0.625 in decimal form. 8/5 is 1.6 in decimal form.
Therefore, q(x) has the larger slope, meaning the graph of p is less steep than the graph of q. (B.)
What is the positive solution to this equation?
3x2−20x=7
Answer:
6-20x=7
-20x= 7-6
-20x=14
-20×/20=14/20
×=14/20
Evaluate the line integral R = ∫_c y^2dx+xdy where C is the arc of the parabola x = 4 - y^2 from (-5, -3) to (0,2).
The line integral of the given function, ∫_c y²dx+xdy, along the arc of the parabola x = 4 - y² from (-5, -3) to (0, 2), can be evaluated by parameterizing the curve and then calculating the integral using the parameterization.
To evaluate the line integral, we first need to parameterize the given curve. Since the parabola is defined by x = 4 - y², we can choose y as the parameter. Let's denote y as t, where t varies from -3 to 2. Then, we can express x in terms of t as x = 4 - t².
Next, we differentiate the parameterization to obtain dx/dt = -2t and dy/dt = 1. Now, we substitute these values into the line integral expression: ∫_c y²dx + xdy = ∫_c y²(-2t)dt + (4 - t²)dt.
Now, we integrate with respect to t, using the limits of -3 to 2, since those are the parameter values corresponding to the given endpoints. After integrating, we obtain the value of the line integral.
By evaluating the integral, you will find the numerical result for the line integral along the arc of the parabola x = 4 - y² from (-5, -3) to (0, 2), based on the given function ∫_cy²dx + xdy.
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Which of the following lines is perpendicular to the line with this equation ?
y =4/5X – 12
a. y= -4/5x +9
b. y=5/4x +4
c. y= -5/4x -15
d.y= 4/5x -5
Answer:
soln,
a
y=5/4×-15
Answer:
C: y = -5/4x - 15
Step-by-step explanation:
A perpendicular line is always the negative reciprocal of the slope. In this case, the slope is 4/5. Therefore, the negative reciprocal is -5/4. Only look at the numbers connected to X for the slope, do not look at the constant.
help me pleaseeeeee!!!!
Answer:
12
Step-by-step explanation:
9^2 + b^2 = 15^2
=
81 + b^2 = 225
=
b^2 = \(\sqrt{144}\)
b = 12
Hope this helps :)
Comment of you need mroe help!!
how to dived inters -6÷5
To make a division between two integer, for example -6÷5. The first thing we need to do is:
• Define the sign of the result.
For that we use the law of signs:
• when you divide a negative number by a positive number, the answer will be negative.
,• When you divide a positive number by a negative number, the answer will be also negative
,• When you divide a negative number by a negative number, the answer will be a positive number.
In this example, we have the first case, so the answer will be negative.
Now we move to making th division between 6 and 5, for that we arrange the numbers as follows:
And we start by finding how many times does the number 5 fits into the number 6. The answer to that is that 5 can fit into 6 one time.
Q3 A dart is randomly thrown and lands within the boundaries of a 6 foot by 6 foot square. The unshaded regions are each a quarter of an inscribed circle. What is the probability that the dart lands in one of the shaded regions? Express your answer as a common fraction in terms of pi. PLEASE GIVE THE FULL EXPLANATION AND NOT JUST THE ANSWER!!!
Answer:
\(Pr = \frac{8 - \pi}{8}\)
Step-by-step explanation:
Given
See attachment for square
Required
Probability the \(dart\ lands\) on the shaded region
First, calculate the area of the square.
\(Area = Length^2\)
From the attachment, Length = 6;
So:
\(A_1 = 6^2\)
\(A_1 = 36\)
Next, calculate the area of the unshaded region.
From the attachment, 2 regions are unshaded. Each of this region is quadrant with equal radius.
When the two quadrants are merged together, they form a semi-circle.
So, the area of the unshaded region is the area of the semicircle.
This is calculated as:
\(Area = \frac{1}{2} \pi d\)
Where
\(d = diameter\)
d = Length of the square
\(d =6\)
So, we have:
\(Area = \frac{1}{2} \pi (\frac{d}{2})^2\)
\(Area = \frac{1}{2} \pi (\frac{6}{2})^2\)
\(Area = \frac{1}{2} \pi (3)^2\)
\(Area = \frac{1}{2} \pi *9\)
\(Area = \pi * 4.5\)
\(Area = 4.5\pi\)
The area (A3) of the shaded region is:
\(A_3 = A_1 - A_2\) ---- Complement rule.
\(A_3 = 36 - 4.5\pi\)
So, the probability that a dart lands on the shaded region is:
\(Pr = \frac{A_3}{A_1}\) i.e. Area of shaded region divided by the area of the square
\(Pr = \frac{36 - 4.5\pi}{36}\)
Factorize:
\(Pr = \frac{4.5(8 - \pi)}{36}\)
Simplify
\(Pr = \frac{8 - \pi}{8}\)
Which line plot displays a data set with an outlier?
help me
Please help with the picture below.
A dietician wants to discover if there is a correlation between age and number of meals eaten outside the home. The dietician recruits participants and administers a two-question survey: (1) How old are you? and (2) How many times do you eat out (meals not eaten at home) in an average month? Perform correlation analysis using data set: "Ch 11 – Exercise 06A.sav" posted in the Virtual Lab. Follow a through d
a. List the name of the variables and the level of measurement
b. Run the criteria of the pretest checklist for both variables(normality, linearity, homoscedasticity), document and discuss your findings.
c. Run the bivariate correlation, scatterplot with regression line, and descriptive statistics for both variables and document your findings (r and Sig. [p value], ns, means, standard deviations)
d. Write a paragraph or two abstract detailing a summary of the study, the bivariate correlation, hypothesis resolution, and implications of your findings.
Correlation analysis:
a. The variables used in the research study are "age" and "number of times eaten out in an average month." The level of measurement for age is an interval, and the level of measurement for the number of times eaten out is ratio.
b. Pretest Checklist for NormalityAge Histogram Interpretation:
A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.
Mean = 45.17, Standard deviation = 14.89, Skewness = -.08, Kurtosis = -0.71.
The histogram for the age of respondents is approximately bell-shaped, indicating normality.
Number of times eaten out Histogram Interpretation:
A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.
Mean = 8.38, Standard deviation = 8.77, Skewness = 2.33, Kurtosis = 9.27.
The histogram for the number of times the respondent eats out in an average month is positively skewed and not normally distributed. Therefore, it is not normally distributed.
Linearity:
Age vs. Number of times Eaten Out
Scatterplot Interpretation:
A scatterplot indicates linearity when there is a straight line and all data points are scattered along it. The scatterplot displays that the number of times respondents eat out increases as they get older. The relationship between the variables is linear and positive.
Homoscedasticity:
Age vs. Number of times Eaten OutScatterplot Interpretation: The scatterplot displays no fan-like pattern around the regression line, which indicates that the assumption of homoscedasticity is met.
c. Bivariate Correlation and Descriptive Statistics
Age and the number of times eaten out in an average month have a correlation coefficient of.
150, which is a small positive correlation and statistically insignificant (p = .077). The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77.
The scatterplot with regression line shows a positive slope that indicates a small and insignificant correlation between age and the number of times the respondent eats out in an average month.
d. The research study aimed to determine whether there is a correlation between age and the number of meals eaten outside the home. The data were analyzed using a bivariate correlation analysis, scatterplot with regression line, and descriptive statistics. The results indicated a small positive correlation (r = .150), but this correlation was statistically insignificant (p = .077).
The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77. The findings showed that there is no correlation between age and the number of times the respondent eats out in an average month.
Therefore, the researcher cannot conclude that age is a significant factor in the number of times a person eats out. The implications of the findings suggest that other factors may influence a person's decision to eat out, such as income, time constraints, and personal preferences. Further research could be done to determine what factors are significant in the decision to eat out.
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Which is the graph of g(x) = 2x-1+3?
O
-12
-8
-4
8-
4
-8
-12+
8
X
Answer:
See below
Step-by-step explanation:
The question is garbled. I don't see a graph nor can I interpret the list of numbers.
g(x) = 2x-1+3 can be simplified to:
g(x) = 2x+2
This line is shown in the attached graph. It has a slope of 2 and a y-intercept of 2.
The legs of a right triangle measures 9ft and 12ft. What is the length of the hypotenuse
Answer:
The hypotenuse would be 15ft
Step-by-step explanation:
You would use pythagorean theorum which would make the equation 9²+12²=c²
next step would be to make it √81+144=c²
then you would get √225=c²
then you just calculate the square root of 225 and you have your answer.
SOMEBODY PLEASE HELP I WILL GIVE BRAINLIEST!! i need these answers Asap!! thank you!
Answer:
Simplifying
h(23) = 55
Reorder the terms for easier multiplication:
23h = 55
Solving
23h = 55
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by '23'.
h = 2.391304348
Simplifying
h = 2.391304348
Step-by-step explanation:
Simplifying
H(4) = k
Reorder the terms for easier multiplication:
4H = k
Solving
4H = k
Solving for variable 'H'.
Move all terms containing H to the left, all other terms to the right.
Divide each side by '4'.
H = 0.25k
Simplifying
H = 0.25k
Connie says that she can use the equation 6^2+5^2=c2 to find the distance between points X and Y in the diagram at the right
Do you agree with Connie? Explain why or why not.
Record: 0/5 Score: 0 Penalty: 1 off
Complete: 0%
Jereme Nixon
Using Trig to Find Angles
Mar 01, 12:19:51 PM
?.
In AQRS, the measure of ZS=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure
of ZR to the nearest tenth of a degree.
R
7.7
Answer:
Step-by-step explanation:
57.6
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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Which of the following is the graph of y = 0.25csC(x+1)+1?
Answer: D
I got a 100 on the quiz! sorry if this is somehow wrong but I'm pretty sure of it!
Need help ASAP. Need to know how to get x and y from x-2y=-13 and y=-2x-6. Not seperate, the xy for both combined if that makes sense. One answer.
Answer:
\(x = -5\\y = 4\)
Step-by-step explanation:
Not sure I understand that part of your question ...not separate, the xy for both combined.
Here are the solution steps to determine x and y values
Given equations are
\(\begin{amatrix}x-2y=-13 \dots [1] \\\\ y=-2x-6\dots\dots[2]\end{amatrix}\)
In equation [2] get all the variables to the left side and the constant on ther right side:
Add 2x to both sides of the equation:Let's examine equations [1] and [3]:
\(\begin{aligned}x - 2y &= - 13 \dots [1]\\ 2x + y &= -6\;\;\dots[3]\\\end{aligned}\)
Multiply eq [1], \(x - 2y = -13\) throughout by \(2\):
\(2(x - 2y) &= 2(- 13) \implies 2x - 4y = -26 \dots[4]\\\)
Subtract the equations:
\(2x+y=-6\\-\\\underline{2x-4y=-26}\\\\5y=20\\\\y = \dfrac{20}{5} = 4\)
\(\mathrm{For\:}2x-4y=-26\mathrm{\:plug\:in\:}y=4\):
\(2x-4\cdot \:4=-26\:\\\\2x - 16 = -26\\\\2x = -26 + 16\\\\2x = -10\\\\x = -10/2 = -5\)
Someone pls help ASAP!!!!
immediate help needed !!!!!!!! plz help me !!!! with this question
Answer:
Step-by-step explanation:
Suppose that you are perfocming the probability experiment of reling one fair sh-sided die. Let F be the event of rolling a four or a five, You are interested in now many times you need to roll the dit in order to obtain the first four or five as the outcome. - p e probabily of success (event Foccurs) +g= probability of falifure (event f daes not occur) Part (m) Part (b) Part (c) Find the wates of p and q. (Enter exact numbers as infegens, tractions, or docinais) p=
q=
D Part (d) Find the probabiriy that the first occurrence of event F(roling a four or fivo) is on the fourel trial (Rround your answer to four cecimal places.)
In an experiment involving rolling a fair sh-sided die, the probability of success (event F occurs) is equal to the probability of failure (event F does not occur). The probability of success is p, and the probability of failure is q. The number of rolls needed to obtain the first four or five is given by X. The probability of the first occurrence of event F on the fourth trial is 8/81.
Given, An experiment of rolling one fair sh-sided die. Let F be the event of rolling a four or a five and You are interested in now many times you need to roll the dit in order to obtain the first four or five as the outcome.
The probability of success (event F occurs) = p and the probability of failure (event F does not occur) = q.
So, p + q = 1.(a) As given,Let X be the number of rolls needed to obtain the first four or five.
Let Ei be the event that the first occurrence of event F is on the ith trial. Then the event E1, E2, ... , Ei, ... are mutually exclusive and exhaustive.
So, P(Ei) = q^(i-1) p for i≥1.(b) The probability of getting the first four or five in exactly k rolls:
P(X = k) = P(Ek) = q^(k-1) p(c)
The probability of getting the first four or five in the first k rolls is:
P(X ≤ k) = P(E1 ∪ E2 ∪ ... ∪ Ek) = P(E1) + P(E2) + ... + P(Ek)= p(1-q^k)/(1-q)(d)
The probability that the first occurrence of event F(rolling a four or five) is on the fourth trial is:
P(E4) = q^3 p= (2/3)^3 × (1/3) = 8/81The value of p and q is:p + q = 1p = 1 - q
The probability of success (event F occurs) = p= 1 - q and The probability of failure (event F does not occur) = q= p - 1Part (c) The probability of getting the first four or five in the first k rolls is:
P(X ≤ k) = P(E1 ∪ E2 ∪ ... ∪ Ek) = P(E1) + P(E2) + ... + P(Ek)= p(1-q^k)/(1-q)
Given that the first occurrence of event F(rolling a four or five) is on the fourth trial.
The probability that the first occurrence of event F(rolling a four or five) is on the fourth trial is:
P(X=4) = P(E4) = q^3
p= (2/3)^3 × (1/3)
= 8/81
Therefore, the probability that the first occurrence of event F(rolling a four or five) is on the fourth trial is 8/81.
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Try solving 4.7m X 13m
Answer:
61.1m
Step-by-step explanation:
Is your answer