tay Uso Newton's method to find both ponitive intersection points (the x values of f(x) - e' and g(x) = 2x". Make a graph to identity good til guenses. (You need to use Newton's method twice, each with different initial guesses) The smallest positive interesection point is: The largest positive intersection point is: a) The function f(x) = exp(x) / (1 + 2exp(x)) has an inflection point near -0.5. Use Newton's method to find it The inflection point occurs at?
Previous question
Answers
The smallest positive intersection point is approximately x = 0.379.
The largest positive intersection point is approximately x = 1.311.
The inflection point of \(f(x) = e^x / (1 + 2e^x)\) occurs at approximately x = -0.474 by newton's method.
To find the positive intersection points of the functions \(f(x) = e^x - e\) and g(x) = 2x, we can use Newton's method. The algorithm for Newton's method involves repeatedly applying the following formula until convergence:
x[n+1] = x[n] - f(x[n]) / f'(x[n])
Let's start with the first intersection point:
First, we need to find a good initial guess for the first intersection point. Looking at the graph of the functions f(x) and g(x), we can estimate that the first intersection point is somewhere between x = 0 and x = 1. Let's choose x[0] = 0.5 as the initial guess.
Next, we calculate the derivatives of the functions f(x) and g(x):
\(f'(x) = e^x / (1 + 2e^x)^2\\g'(x) = 2\)
Now we can apply Newton's method to find the first intersection point:
x[1] = x[0] - f(x[0]) / f'(x[0])
\(= 0.5 - (e^0.5 - e) / (e^0.5 / (1 + 2e^0.5)^2)\)
≈ 0.396
Repeat step 3 until convergence. Iterating a few more times, we find:
x[2] ≈ 0.380
x[3] ≈ 0.379
x[4] ≈ 0.379
After a few iterations, the value of x[n] stabilizes around 0.379. Therefore, the smallest positive intersection point is approximately x = 0.379.
Now let's find the second intersection point:
For the second intersection point, we can estimate that it is somewhere between x = 1 and x = 2. Let's choose x[0] = 1.5 as the initial guess.
Calculate the derivatives of the functions:
\(f'(x) = e^x / (1 + 2e^x)^2\\g'(x) = 2\)
Apply Newton's method:
x[1] = x[0] - f(x[0]) / f'(x[0])
\(= 1.5 - (e^1.5 - e) / (e^1.5 / (1 + 2e^1.5)^2)\)
≈ 1.313
Iterate a few more times to find the second intersection point:
x[2] ≈ 1.311
x[3] ≈ 1.311
x[4] ≈ 1.311
The value of x[n] stabilizes around 1.311. Therefore, the largest positive intersection point is approximately x = 1.311.
Moving on to finding the inflection point of the function \(f(x) = e^x / (1 + 2e^x):\)
We need to find a good initial guess for the inflection point. From the graph of f(x), we can estimate that the inflection point is near x = -0.5. Let's choose x[0] = -0.5 as the initial guess.
Calculate the second derivative of f(x):
\(f''(x) = (2e^x - e^2x) / (1 + 2e^x)^3\)
Apply Newton's method:
x[1] = x[0] - f'(x[0]) / f''(x[0])
\(= -0.5 - (e^{-0.5} - e^{-1}) / ((1 + 2e^{-0.5})^3 - 2e^{-1})\)
≈ -0.474
Iterate a few more times:
x[2] ≈ -0.474
x[3] ≈ -0.474
x[4] ≈ -0.474
The value of x[n] stabilizes around -0.474. Therefore, the inflection point occurs at approximately x = -0.474.
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Related Questions
Based on the graph shown, which features are correctly stated?
A)
Vertex: (1,-4)
B
Axis of symmetry: -4
09
y-intercept:(-3,0)
D)
x-intercepts: (-1,0) and (3, 0)
E)
Function: f(x) = x2 - 2x - 3
Answers
Answer:
D
Step-by-step explanation:
Answer: A
D
E
Step-by-step explanation:just got it right
Find the value of x.
Answers
Answer:
x = 20
Step-by-step explanation:
Intersecting Chords Theorem: ab = cd
Step 1: Label our variables
a = x
b = x - 11
c = x - 8
d = x - 5
Step 2: Plug into theorem
x(x - 11) = (x - 5)(x - 8)
Step 3: Solve for x
x² - 11x = x² - 8x - 5x + 40
x² - 11x = x² - 13x + 40
-11x = -13x + 40
2x = 40
x = 20
Answer: x=20
Step-by-step explanation:
\(ab=cd\)
\(x(x - 11) = (x - 5)(x - 8)\)
\(x^2 - 11x = x^2 - 13x + 40\)
\(x^2 - 11x = x^2 - 8x - 5x + 40\)
\(-11x = -13x + 40\\2x = 40\\x = 20\)
An equilateral triangle is similar to a scalene triangle.1) Always2) never3) sometimes
Answers
Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.
If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.
In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.
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Find the 92nd term of the arithmetic sequence 11, 19, 27,
Answers
Answer:
739
Step-by-step explanation:
a sub 92 = 11 + (92 - 1) * 8
a sub 92 = 11 + 728
a sub 92 = 739
Isabel and Khalil buy peaches and apricots. At the fruit stand, peaches cost $0.85 each, and apricots cost $0.55 each. Tax is included in the cost of each fruit. The friends have $5 to spend. Which is a possible combination of the number of peaches and apricots they can get for $5? Responses 1 peach, 8 apricots 1 peach, 8 apricots 2 peaches, 5 apricots 2 peaches, 5 apricots 3 peaches, 7 apricots 3 peaches, 7 apricots 4 peaches, 3 apricots 4 peaches, 3 apricots
Answers
The possible combination of the number of peaches and apricots they can get for $5 is 2 peaches and 5 apricots.
What is the possible combination?The equation that represents the total cost of peaches and apricots is:
Total cost = (number of peaches x cost of one peach) + (number of apricots x number of apricots)
$5 = ($0.85 x p) + ($0.55 x a)
Total cost of buying 1 peach and 8 apricots:
($0.85 x 1) + ($0.55 x 8) = $5.25
Total cost of buying 2 peaches and 5 apricots:
($0.85 x 2) + ($0.55 x 5) = $4.45
Total cost of buying 3 peaches and 7 apricots:
($0.85 x 3) + ($0.55 x 7) = $6.40
Total cost of buying 4 peaches and 3 apricots:
($0.85 x 4) + ($0.55 x 3) = $5.05
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Find the missing angle Sin 30=Cos ( )
Answers
Answer:
sin(30)=cos(60)
Step-by-step explanation:
sin(30°)=½ in degrees(not radians)
and cos(60°)=½ in degrees
DETERMINING EDIBLE PORTION COST EDIBLE PORTION COST = 1. You paid $5.30 a pound for cucumbers which have a yield ratio of 90%. After trimming the cucumbers, how much did they actually cost you per pound? 2. The whole chicken you purchase has a yield ratio of 62%. If you are only paying $3.20 a pound, how much are you actually paying after the chicken has been deboned? 3. You are buying zucchini at $1.20 a pound, but you must trim 12% of it away before you can use it. How much would the cleaned zucchini cost in a bread recipe that calls for 7 ounces?
Answers
Cucumbers: $4.77 per pound, Chicken: $1.98 per pound, Zucchini for bread recipe: $0.58.
To find the actual cost per pound of cucumbers after trimming, we multiply the price per pound ($5.30) by the yield ratio (90%). The result is $4.77 per pound.
For the chicken, we multiply the price per pound ($3.20) by the yield ratio (62%). The actual cost per pound after deboning is $1.98.
To calculate the cost of cleaned zucchini in a bread recipe, we first determine the amount of zucchini needed. 7 ounces is approximately 0.44 pounds. Then, we multiply this by the price per pound ($1.20) and account for the trim ratio (12%). The cost of cleaned zucchini for the recipe is approximately $0.58.
Therefore, the actual cost per pound of cucumbers is $4.77, the cost per pound of deboned chicken is $1.98, and the cost of cleaned zucchini for the bread recipe is approximately $0.58.
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A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 3 nper namtenitith bame: men. Based on chance alone, what is the probability that one woman and one man will be ropotnt: chosen to be on the committee? Your answer should be rounded to + decimal places (where applicable). Question 6 A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 tope andberin the bome men. Based on chance alone, what is the probability no women are chosen to be on the so point committee? Your answer should be rounded to 4 decimal places (where applicable).
Answers
In order to find the probability that one woman and one man will be chosen to be on the committee, we will use the concept of combination. The number of ways to select 2 members out of 5 can be calculated as follows: 5C2 = 10.
Therefore, there are 10 possible pairs of members that can be chosen. Out of these 10, the number of pairs that consist of one woman and one man can be calculated as follows: 2C1 * 3C1 = 6. Therefore, there are 6 possible pairs consisting of one woman and one man.So, the probability of selecting one woman and one man can be calculated as follows:Probability = Number of favorable outcomes / Total number of outcomes Probability = 6/10Probability = 0.6 The given problem deals with the selection of members for a committee from a club. There are 2 parts to this problem, and both of them require a different approach to solve it. In the first part, we need to find the probability that one woman and one man will be chosen to be on the committee. In the second part, we need to find the probability that no women are chosen to be on the committee.Let us first focus on the first part. The given club has nominated 2 women and 3 men for the committee. Therefore, there are 5 members from which 2 members have to be selected. The number of ways to select 2 members out of 5 can be calculated as follows: 5C2 = 10. Therefore, there are 10 possible pairs of members that can be chosen. Out of these 10, the number of pairs that consist of one woman and one man can be calculated as follows: 2C1 * 3C1 = 6. Therefore, there are 6 possible pairs consisting of one woman and one man. So, the probability of selecting one woman and one man can be calculated as follows:Probability = Number of favorable outcomes / Total number of outcomesProbability = 6/10Probability = 0.6In the second part, we need to find the probability that no women are chosen to be on the committee. In other words, both members selected have to be men. Therefore, there are 3 men from which 2 members have to be selected. The number of ways to select 2 members out of 3 can be calculated as follows: 3C2 = 3. Therefore, there are 3 possible pairs of members that can be chosen. Out of these 3, only 1 pair consists of both men. So, the probability of selecting both men can be calculated as follows:Probability = Number of favorable outcomes / Total number of outcomesProbability = 1/3Probability = 0.3333
The probability of selecting one woman and one man for the committee is 0.6, and the probability of selecting no women for the committee is 0.3333.
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A survey is taken at a movie theater in Wayside. The first 200 people who entered the theater were asked about their favorite type of movie. What is true about this situation?
The population is the first 200 people at the theater, and the sample is the total number of people who go to the movie theater.
The population is the number of people who go to the movie theater, and the sample is the number of people in the town of Wayside.
The population is the total number of people who go to the movie theater, and the sample is the first 200 people at the theater.
The population is the number of people in the town of Wayside, and the sample is the number of people who go to the movie theater.
Answers
A survey is taken at a movie theater in Wayside. The first 200 people who entered the theater were asked about their favorite type of movie. The true about this situation is: The population is the total number of people who go to the movie theater, and the sample is the first 200 people at the theater.
In this situation, the population refers to the entire group of people who go to the movie theater in Wayside. The population includes all individuals who have the potential to be surveyed about their favorite type of movie.
The sample, on the other hand, is a subset of the population and represents the first 200 people who entered the theater. These 200 individuals are selected to provide information about the preferences of the larger population.
It is important to note that the sample is not the entire population but rather a smaller representative group. By surveying the sample, we aim to gather insights and make inferences about the preferences of the larger population of moviegoers in Wayside.
The correct answer is: The population is the total number of people who go to the movie theater, and the sample is the first 200 people at the theater.
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Traduce a lenguaje algebraico los siguientes enunciados. 1. La diferencia del triple de un número y otro 2. La suma de un número con el triple de la diferencia de otro y cinco 3. La quinta parte de la adición del doble de un número con diez 4. El producto de un número por siete, disminuido en dos: 5. El cociente de un número y 3 es igual a 18 6. La edad de Esteban es el doble de la de su hermano Martin aumentada en 3 la suma de las edades de Esteban y Martin es 30 años
Answers
Answer:
(1) La traducción algebraica de la oración es \(z = 3\cdot x - y\).
(2) La traducción algebraica de la oración es \(z=x+3\cdot (y-5)\).
(3) La traducción algebraica de la oración es \(z = \frac{2\cdot +10}{5}\).
(4) La traducción algebraca de la oración es \(z = 7\cdot x -2\).
(5) La traducción algebraica de la oración es \(\frac{x}{3} = 18\).
(6) La traducción algebraica de la oración es \(x =2\cdot (y+3)\), \(x+y = 30\).
Step-by-step explanation:
Explicamos el procedimiento de este ejercicio a continuación:
1) Leer cuidadosamente la oración.
2) Ir traduciendo a términos algebraico a medida que se avanza en la lectura.
(1) Presentamos el desarrollo y la conclusión de este caso:
(i) La diferencia:
\(z = (\,\,\,\,)-(\,\,\,\,)\)
(ii) La diferencia del triple de un número y:
\(z = 3\cdot x - (\,\,\,\,)\)
(iii) La diferencia del triple de un número y otro:
\(z = 3\cdot x - y\)
La traducción algebraica de la oración es \(z = 3\cdot x - y\).
(2) Presentamos el desarrollo y la conclusión de este caso:
(i) La suma:
\(z = (\,\,\,\,)+(\,\,\,\,)\)
(ii) La suma de un número y:
\(z = x +(\,\,\,\,)\)
(iii) La suma de un número y con el triple de:
\(z = x + 3\cdot (\,\,\,\,)\)
(iv) La suma de un número y con el triple de la diferencia de otro y cinco:
\(z=x+3\cdot (y-5)\)
La traducción algebraica de la oración es \(z=x+3\cdot (y-5)\).
(3) Presentamos el desarrollo y la conclusión de este caso:
(i) La quinta parte de:
\(z = \frac{(\,\,\,\,)}{5}\)
(ii) La quinta parte de la adición del doble de un número con diez:
\(z = \frac{2\cdot +10}{5}\)
La traducción algebraica de la oración es \(z = \frac{2\cdot +10}{5}\).
(4) Presentamos el desarrollo y la conclusión de este caso:
(i) El producto de:
\(z = (\,\,\,\,)\cdot(\,\,\,\,)\)
(ii) El producto de un número por siete,:
\(z = 7\cdot x\)
(iii) El producto de un número por siete, disminuido en dos:
\(z = 7\cdot x -2\)
La traducción algebraca de la oración es \(z = 7\cdot x -2\).
(5) Presentamos el desarrollo y la conclusión de este caso:
(i) El cociente de:
\(z = \frac{(\,\,\,\,)}{(\,\,\,\,)}\)
(ii) El cociente de un número y 3:
\(z = \frac{x}{3}\)
(iii) El cociente de un número y 3 es igual a 18:
\(z = 18\)
\(\frac{x}{3} = 18\)
La traducción algebraica de la oración es \(\frac{x}{3} = 18\).
(6) Presentamos el desarrollo y la conclusión de este caso:
(i) La edad de Esteban:
\(x\)
(ii) La edad de Esteban es el doble de:
\(x = 2\cdot (\,\,\,\,)\)
(iii) La edad de Esteban es el doble de la de su hermano Martín aumentada en 3:
\(x =2\cdot (y+3)\)
(iv) La edad de Esteban es el doble de la de su hermano Martín aumentada en 3. La suma de las edades de Esteban y Martin es 30 años:
\(x =2\cdot (y+3)\)
\(x+y = 30\)
La traducción algebraica de la oración es \(x =2\cdot (y+3)\), \(x+y = 30\).
Write the slope-intercept form of an equation that passes through the given points.
(4,1),(8,2)
Answers
Answer:
y = 1/4x or y = 0.25x
Step-by-step explanation:
In this question, we are trying to write an equation with the given points.
To solve this question, we would use the slope formula: y2-y1/x2-x1
Find the slope by plugging in variables:
2-1/8-4
1/4 = m
The slope would be 1/4
Find the y intercept:
To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:
1 = 1/4(4) + b
Solve:
1 = 1/4(4) + b
1 = 1 + b
Subtract 1 from both sides
0 = b
This means that the y-intercept is 0.
Our equation will be: y = 1/4x
Express the polynomial a(x)=x² + 5x+2 as a linear combination of the vectors c(x) = x²+x, b(x) = 1+x=2x²
Answers
We can express a(x) = x² + 5x + 2 as a linear combination of the vectors c(x) and b(x) as follows: a(x) = 4c(x) - b(x)/2.
To express the polynomial a(x) = x² + 5x + 2 as a linear combination of the vectors c(x) = x² + x and b(x) = 1 + x + 2x², we need to find the coefficients that will give us a linear combination equal to a(x).
Let's assume the linear combination is of the form a(x) = c(x) + kb(x), where k is a scalar coefficient. We need to find the value of k.
Expanding the expression, we have a(x) = (1 + x) + k(1 + x + 2x²).
Combining like terms, we get a(x) = (1 + k) + (1 + k)x + 2kx².
To match this with the polynomial a(x) = x² + 5x + 2, we equate the corresponding coefficients:
1 + k = 5, 1 + k = 0, 2k = 1.
Solving these equations, we find k = 4, k = -1, and k = 1/2.
Therefore, we can express a(x) = x² + 5x + 2 as a linear combination of the vectors c(x) and b(x) as follows: a(x) = 4c(x) - b(x)/2.
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The Smiths have invited you over for dinner; you know that after you knock on their door one of their children will answer. What is the probability that a girl answers
Answers
The probability that a girl answers the door when the Smiths' children open depends on the gender distribution of their children. The probability that a girl answers the door is 1/3 or approximately 33.33%.
Without any additional information about the Smiths family, we cannot determine the exact probability. However, if we assume that the probability of having a boy or a girl is equal (i.e., a 50% chance for each), we can make an estimate.
Under this assumption, let's consider the possible outcomes for the Smiths' children: BB (both boys), BG (one boy and one girl), and GG (both girls). Since we know that one of their children will answer the door, the outcomes BB and BG are possible scenarios in which a boy answers. The only scenario in which a girl answer is GG. Therefore, the probability that a girl answers the door is 1/3 or approximately 33.33%.
It is important to note that this estimation assumes an equal probability for each gender and that the gender of one child does not affect the gender of the other. In reality, the probability could differ depending on the specific circumstances and family dynamics of the Smiths.
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A cylindrical Paint storage tank is 8 feet high and has a radius of 3 feet. What is the maximum volume of Paint that can be stored in the
tank?
Answers
Answer:
Step-by-step explanation:
The maximum volume of paint that can be stored in the cylindrical tank occurs when it is completely filled. The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
In this case, the height of the cylindrical tank is 8 feet and the radius is 3 feet. So we can substitute these values into the formula to get:
V = π(3^2)(8)
V = π(9)(8)
V = 72π
Therefore, the maximum volume of paint that can be stored in the tank is 72π cubic feet, which is approximately 226.2 cubic feet if we round to one decimal place.
PLEASE YALL WHAT IS THE SOLUTION SYSTEM OF EQUATIONS 6X - 3Y =15 AND 2X +2Y=20
Answers
Answer:
x=5
y=5
Step-by-step explanation:
6(5)=30-3(5)=15
2(5)=10+2(5)=20
so the points where they meet is 5,5
Hope this helps
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller? 5 and 10
Answers
Answer:
Part A: 100%
Part B: 50%
Step-by-step explanation:
The difference between 10 and 5 is 5
5 is 100% of 5, so 10 is 100% greater than 5 (part A)
5/5 = 1 = 100%5 is 50% of 10, so 5 is 50% less than 10 (part B)
5/10 = 1/2 = 50%Part A is 100%, and Part B is 50%
-Chetan K
Answer:
10 is 100% greater than 5
5 is 50% less than 10
Step-by-step explanation:
big brain
What are the x-and y intercepts for the graph of 5x-2y=20?
Answers
Answer: y = (5)(2)x-10
Step-by-step explanation:
Find the distance between the points (10, -4) and (1, 8).
Answers
Answer:
15
Step-by-step explanation:
Use the distance formula
d = distance
\(d=\sqrt{(10-1)^2 + (-4 - (8))^2\\\)
Solve the equation to get the following:
\(d=\sqrt{9^2 + (-12)^2}\)
\(d = \sqrt{81+144\)
\(d=\sqrt{225\)
\(d = \sqrt{15\)
Find the volume of the solid
Answers
ANSWER
480 cm^2
Step-by-step explanation:
divide it into 3 blocks
0.6. Divided by 01.518
Answers
Answer:
0.4
Step-by-step explanation:
0.6÷1.518=0.395256917
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 606060 megabytes on it before the transfer, and an additional 444 megabytes were transferred onto it each second.
Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).
Answers
3.- El maestro Juanito se durmió el domingo a las 9:34 pm y se despertó a las 6:35 am para
estar puntal a sus clases. ¿Cuántas horas durmió?
Answers
Answer:
durmio 9 horas
Step-by-step explanation:
si cuentas a como va el reloj (de 1 a 12 y de am a pm) y empiesas desde Las 6 se va hasta que llegue a 12, empieza a ser 1 otravez.
Suppose Rafiq went to the nursery and bought a tree priced at $42.99 and two packages of fertilizer
priced at $13.99 each. The sales tax rate is 7.0%. Find the total cost of his purchase, including tax, to the
nearest cent.
Answers
The total cost of his purchase, including tax, to the nearest cent is $75.94.
To find the total cost of Rafiq's purchase, including sales tax:
Calculating the cost of the tree and fertilizer:
Cost of Tree = $42.99
Cost of Fertilizer = 2 x $13.99 = $27.98
Total cost = cost of tree + cost of fertilizers
= $42.99 + $27.98
= $70.97
Sales tax = $70.97 x 0.07 = $4.968
Total cost including tax = $70.97 + $4.968 = $75.938
Rounding to the nearest cent:
Total cost = $75.94
The total cost of Rafiq's purchase, including sales tax, is $75.94.
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5. The pre-image triangle ABC is reflected across a line to form the image triangle A′B′C′. Which of the following describes the line of reflection?
A. It is a horizontal line.
B. It rises from left to right.
C. It is a vertical line.
D. It falls from left to right.
Answers
Answer:
B
Step-by-step explanation:
It has to reflect from one side to the other therefor left to right.
Answer:
B
Step-by-step explanation:
Both of them are congruent, meaning that they are the same but are reflected.
Triangle A C B is cut by bisector C D. The lengths of sides A C and C B are congruent.
CD bisects ∠ACB. Which statements must be true? Check all that apply.
AD = BD
AC = CD
m∠ACD = m∠BCD
m∠CDA = m∠CDB
m∠DCA = m∠DAC
Answers
The statements that are true are AD = BD , m∠ACD = m∠BCD , m∠CDA = m∠CDB , Option A , C and D
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given a Δ ACB
CD is the angle bisector of ∠ACB
AC ≅ CB
To determine which statement are true
First it has to be proved that Δ DCB is congruent to Δ ACD
In the triangles
AC = CB (Given )
∠ACD = ∠DCB (CD is the angle bisector of ∠ACB)
DC = DC ( Common side )
thus Δ DCB is congruent to Δ ACD
Therefore the following statements are true
AD = BD (CPCTC)
m∠ACD = m∠BCD (CPCTC)
m∠CDA = m∠CDB (CPCTC)
Therefore Option A , C and D are the statements that are true .
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Answer:
Step-by-step explanation:
a,c,d
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
Answers
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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g(t) = t^2 - 5 f(t) = -31 - 4 Find g((-4t)
Answers
I plugged in -4 for t and found the answer.
Good luck!
While mining john found a large metal bar that weighed 25grams john was also able to determine that the bar had 13 grams of silver in it . What percent of the weight of the bar was silver
Answers
Answer:
52%
Step-by-step explanation:
13/25=0.52
0.52 as a percent is 52%
a healthcare provider saw that 48% of their members received their flu shot in a recent year. the healthcare provider tried a new advertising strategy in the following year, and they took a sample of members to test if the proportion who received their flu shot had changed. does the data provide convincing evidence that the proportion of members who received their flu shot changed from the most recent year?
Answers
We reject the null hypothesis and conclude that there is convincing evidence that the proportion of members who received their flu shot changed from the most recent year.
To answer this question, we need to perform a hypothesis test. Let's set up the null and alternative hypotheses:
Null hypothesis: The proportion of members who received their flu shot did not change from the most recent year, p = 0.48.
Alternative hypothesis: The proportion of members who received their flu shot changed from the most recent year, p ≠ 0.48.
We can use a significance level of α = 0.05, which means we want to be 95% confident in our conclusion.
Let's say the healthcare provider took a sample of 500 members and found that 260 of them received their flu shot.
We can calculate the test statistic as follows:
z = (P - p) / sqrt(p(1-p)/n)
where P is the sample proportion, p is the null hypothesis proportion, and n is the sample size.
Using the values given above, we get:
z = (0.52 - 0.48) / sqrt(0.48*0.52/500) = 2.29
This test statistic has a p-value of 0.022, which is less than our significance level of 0.05. Therefore, we reject the null hypothesis and conclude that there is convincing evidence that the proportion of members who received their flu shot changed from the most recent year. The healthcare provider's new advertising strategy appears to have had an impact.
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Twelve freinds go to a resturant together to celebrate a birthday. The food bill is $192.77 and $48.19 is added on for tax and tip. If the friends plan to divide the bill evenly between the 12 people, how much does each person owe
Answers
Answer:
20.08
Step-by-step explanation:
add 192.77 and 48.19 and then divide that by 12