Answer:
.05 yd
Step-by-step explanation:
5/91.44=.05468066
What is the mathematical model of an AST for a BL statement?
The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.
This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.
The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.
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On a hike you climbed to an altitude of 125 feet above sea level. Base camp is located at 32 feet below sea level. How far did you climb from base?
Answer:
32
Step-by-step explanation:
(1,-8) Slope=-1
Find the parallel and the perpendicular slope EXPLAIN PLEASE
The parallel slope is -1 and perpendicular is 1.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given that, Slope of a line = -1,
We know that, slope of parallel line are equal and the slope for the perpendicular line are negative reciprocal of each other,
Therefore,
The slope parallel to line = -1
The slope perpendicular to the line = 1
Hence, the parallel slope is -1 and perpendicular is 1.
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Let's find
11
6
- Im
First, write the addition so the fractions have denominator 6.
Then add.
1 1
6
1
3 6
0 0
6
The required addition of the given fraction is given as 7/6.
Given that, a mixed fraction is given 1 1 /6 we have to determine the simplified fraction.
Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Given fraction = 1 1 /6
This fraction is written as 1 + 1/6
Simplifying the fraction by multiplying the one with 6 and adding the product to the 1 in the numerator,
= [1×6 + 1]/6
= 7/6
Thus, the required addition of the given fraction is given as 7/6.
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how do u write y=e^-1.5t into y=ab^x
Consequently, the exponential function y=e-1.5t can be changed to y=abx. The transcendental number is the most popular exponential-function base.
what is exponential function ?The formula for a mathematical function called an exponential function is f (x) = an x, where x is a variable and an is a fixed quantity known as the function's base. The exponential-function base that is most frequently used is the transcendental number e, or approximately 2.71828. An example of an exponential function is the growth of bacteria. Some bacteria can multiply by two in one hour. There will be twice as many germs around after x hours as there were at the beginning. F(x) = 2x is the formula for this.
given
y=e^-1.5t
f(x) = 2. x
f(x) = 1/ 2x = 2. -x
f(x) = 2. x+3
f(x) = 0.5. x
y=ab^x
Consequently, the exponential function y=e-1.5t can be changed to y=abx. The transcendental number is the most popular exponential-function base.
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Sin^-1(x-1)=Tan^-1(3)
The solution to the equation\(sin^(-1)(x - 1)\) = \(tan^(-1)(3)\) is approximately x ≈ 4.0777.
To solve the equation\(sin^(-1)(x - 1)\)= \(tan^(-1)(3),\) we need to find the value of x that satisfies the equation.
First, let's simplify the equation by taking the inverse trigonometric functions on both sides:
x - 1 = \(tan(tan^(-1)(3))\)
The inverse tangent\((tan^(-1))\) of 3 is a known value.\(tan^(-1)(3)\) is approximately 1.249, which is the angle whose tangent is 3.
Now we can rewrite the equation:
x - 1 = tan(1.249)
Using a calculator, we can find that tan(1.249) is approximately 3.0777.
Now we can solve for x by adding 1 to both sides of the equation:
x = 3.0777 + 1
x ≈ 4.0777
Therefore, the solution to the equation \(sin^(-1)(x - 1)\) = \(tan^(-1)(3)\)is approximately x ≈ 4.0777.
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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x-7 items, respectively. The first plant produces how many more items daily than the second plant?
The first plant produces more items daily than the second plant
(Simplify your answer)
CETTE
What’s the answer
To find the difference in the number of items produced by the two plants, we can subtract the production level of the second plant from that of the first plant. This gives us:
\(8x + 15 - (3x - 7) = 5x + 22\)Therefore, the first plant produces \(5x + 22\) more items daily than the second plant.
a researcher took a random sample of 100 students from a large university. she computed a 95% confidence interval to estimate the average weight of the students at this university. the confidence interval was too wide to provide a precise estimate. true or false? the researcher could produce a narrower confidence interval by increasing the sample size to 150.
It's true that the researcher could produce a narrower confidence interval by increasing the sample size to 150.
A confidence interval is a range of values within which the true value of a population parameter is expected to fall with a certain degree of confidence. The width of a confidence interval depends on several factors, including the sample size, the level of confidence chosen, and the variability of the data.
If the confidence interval is too wide, it means that there is a lot of uncertainty about the true value of the population parameter. In other words, the sample size is not large enough or the data is too variable to provide a precise estimate.
Increasing the sample size can help to reduce the width of the confidence interval, as it provides more information about the population and can help to reduce the impact of random sampling error. Therefore, it is true that the researcher could produce a narrower confidence interval by increasing the sample size to 150.
However, it is important to note that other factors, such as the level of confidence chosen and the variability of the data, will also affect the width of the confidence interval.
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Your friend surveyed 100 people who took either vitamin C, zinc, or
Echinacea supplements to prevent getting a cold. The participants
were asked if they had a cold or no cold in the last 30 days.
no cold
cold
total
vitamin C
41
zinc
12
5
17
echinacea
21
total
26
100
What ratio of people in the survey took Echinacea?
Answer:
27 : 100
Step-by-step explanation:
Given :
__________ no cold ____ cold _____ total
Vitamin C ___ 41 ________ 15 ______ 56
Zinc _______ 12 _________5 ______ 17
Echinacea __ 21 _________ 6 ______ 27
Total ______ 74 _________ 26 ____ 100
The ratio of people who took Echinacea :
Number of people who took Echinacea : total number of people in the survey
From the TOTAL column:
Number of people who took Echinacea = 27
Total Number of people in survey = 100
Hence, ratio equals :
27 : 100
In ∆ABC, /_ABC = 90° and is the mid-point of side AC, then prove by vector method that: OA = OB=0C
If in ∆ABC, /_ABC = 90° and is the mid-point of side AC. Using vector method OA = OB = 0C.
What is vector method?We can prove this using vector method as follows:
Let's label the vertices of the triangle as follows: A (the right angle), B (the top vertex), and C (the midpoint of AC).
We can represent the position vectors of A, B, and C as follows:
→OA = a
→OB = b
→OC = (→OA + →OC)/2 = (a + c)/2
We can then use the fact that →AC = →OC - →OA:
→AC = →OC - →OA = (a + c)/2 - a = (c - a)/2
Since →AC is perpendicular to →BC, we can use the dot product to set up an equation:
→AC · →BC = 0
(→c - →a)/2 · →b = 0
→b · →c - →b · →a = 0
Since →c · →a = |→c||→a| cos 90° = 0, we can simplify this to:
→b · →c = 0
We can use the fact that →OC = →OB - →BC:
→OC = →OB - →BC = b - (c - a) = a + (b - c)
Since →AC is perpendicular to →BC, we know that →AC is a scalar multiple of →OB - →OC:
→AC = k(→OB - →OC)
Substituting in the expressions for →AC and →OC, we get:
(c - a)/2 = k(b - a - c)
Simplifying, we get:
(b - c) = 2k(b - a - c)
2b - 2c = 2kb - 2ka - 2kc
2c = 2kb + (2a - 2b + 2c) = 2kb + 2c
2c = 2(kb + c)
c = kb + c
kb = 0
Since k cannot be zero (otherwise →AC would be the zero vector), we have:
b = 0
Substituting this into the expression for →OC, we get:
→OC = a + (0 - c) = a - c
Since →AC is perpendicular to →BC, we know that →AC is a scalar multiple of →OA - →OC:
→AC = k(→OA - →OC)
Substituting in the expressions for →AC and →OC, we get:
(c - a)/2 = k(a - c)
Simplifying, we get:
a - c = -2kc + a - c
2kc = 0
Since k cannot be zero (otherwise →AC would be the zero vector), we have:
c = 0
Substituting this into the expression for →OC, we get:
→OC = a
Therefore:
→OA = a
→OB = b = 0
→OC = a
So, we have proved that OA = OB = 0C using vector method.
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solve in 25 mins thanks
(1) You are told that \( c_{0}=300, T=400, G=400, I_{0}=300, c_{1}=0,4 \operatorname{og} b=1 \) ? Find the IS curve and explain what it shows.
It represents the level of output at which planned spending (I + C + G) equals total income.
The IS curve is the intersection of the investment and saving curve. The investment curve is a downward sloping curve, while the saving curve is upward sloping. It can be obtained by equating total income with total output and deriving the relationship between interest rates and GDP.
It represents the combinations of interest rates and output where the market for goods and services is in equilibrium. The equation for the IS curve can be given as:Y = C(Y-T) + I(r) + G
Where, C(Y-T) is consumption I(r) is investment Y is output G is government spending T is taxes r is the interest rateGiven,C0 = 300T = 400G = 400I0 = 300c1 = 0.4b = 1
We can calculate the IS curve as follows: Y = C(Y-T) + I(r) + G
⇒ Y = C0 + c1 (Y-T) + I0 + bY - br + G
⇒ Y - c1Y + br = C0 - c1T + I0 + G
⇒ (1-c1) Y = C0 - c1T + I0 + G - br
⇒ Y = 1/(1-c1) * (C0 - c1T + I0 + G - br)
Substituting the given values, we get, Y = 1/(1-0.4) * (300 - 0.4*400 + 300 + 400 - 1r)
⇒ Y = 1/0.6 * (600 - r)
⇒ Y = 1000 - 1.67r
Therefore, the IS curve equation is given by Y = 1000 - 1.67r. It shows the combinations of interest rates and output levels at which the goods market is in equilibrium.
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Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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Describe fully the single transformation which takes shape A to shape B
Answer:
Translation down by 1 then reflection over Y axis.
Step-by-step explanation:
a value at the center or middle of a data set is a ____
a. measure of center
b. measure of spread
c. sample
d. outlier
A value at the center or middle of a data set is a measure of center. It is a statistical value that represents the central or average value of a dataset.
In statistics, a measure of center refers to a value that represents the central tendency or average of a data set. It provides a single value that summarizes the central or typical value of the data. The measure of center is used to understand the central position or location of the data points.
Common measures of center include the mean, median, and mode. The mean is calculated by summing all the values in the data set and dividing by the total number of values. The median is the middle value of a sorted data set, or the average of the two middle values if there is an even number of values. The mode represents the value that occurs most frequently in the data set.
These measures of center help in understanding the central tendency of the data and provide a representative value around which the data points are distributed. They are useful for summarizing and analyzing data sets, allowing for comparisons and making inferences about the data.
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A group of 15 teenagers owes $75 at a pizza parlor. If they split the bill evenly, how much will each person owe?
Answer:
$5 each teenager
Step-by-step explanation:
divide 75 by 15
Can someone help me please
Answer:
A=11x^2 -4x-2
Step-by-step explanation:
3x^2 +2x-4 +8x^2 -2 -5x+2
(8+3)x^2 +(2-1-5)x -4+2
=11x^2 -4x-2
Suppose you walk down a school hallway at a rate of 5 ft/s, and you reach your destination in 20 seconds. How do you write a function that models this situation, and how do you determine the domain?
Answer:
Step-by-step explanation:
Let's write a equation.
5 ft = 20 seconds
(five feet is reachable in 20 seconds)
Divide both sides by 5.
5/5=1
20/5=4
1 ft = 4 seconds
Let's say the destination is d and f is foot.
d = 4f
A value of KG was experimentally determined to be 1.2x10³ kgmol/(m².s.atm) for A diffusing through stagnant B. For the same flow and concentrations, predict k' and the flux of A for equimolar counter-diffusion. The partial pressures are pai = 0.18 atm, PA2 = 0.06 atm, and P = 1 atm.
The value of KG, 1.2x10³ kgmol/(m².s.atm), represents the mass transfer coefficient for A diffusing through stagnant B.
To predict k' and the flux of A for equimolar counter-diffusion, we need to consider the partial pressures and use the given value of KG.
First, let's calculate k' using the following equation:
k' = KG * (PA1 - PA2) / Pwhere PA1 is the partial pressure of A on one side, PA2 is the partial pressure of A on the other side, and P is the total pressure.
Given that PA1 = 0.18 atm, PA2 = 0.06 atm, and P = 1 atm, we can substitute these values into the equation:
k' = 1.2x10³ kgmol/(m².s.atm) * (0.18 atm - 0.06 atm) / 1 atm
Simplifying the equation:
k' = 1.2x10³ kgmol/(m².s.atm) * 0.12 atm / 1 atm
k' = 1.2x10³ kgmol/(m².s)
So, the value of k' for equimolar counter-diffusion is 1.2x10³ kgmol/(m².s).
Next, let's calculate the flux of A for equimolar counter-diffusion using the equation:
Flux of A = k' * (PA1 - PA2)
Substituting the values:
Flux of A = 1.2x10³ kgmol/(m².s) * (0.18 atm - 0.06 atm)
Simplifying the equation:
Flux of A = 1.2x10³ kgmol/(m².s) * 0.12 atm
Flux of A = 144 kgmol/(m².s.atm)
Therefore, the flux of A for equimolar counter-diffusion is 144 kgmol/(m².s.atm).
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evaluate the integral. 10) ∫ (2x-1) ln(3x) dx
To evaluate the integral 10) ∫ (2x-1) ln(3x) dx, we will use integration by parts, which involves the formula ∫udv = uv - ∫vdu, where u and dv are differentiable functions.
Step 1: Choose u and dv:
u = ln(3x), so du = (1/x) dx
dv = (2x - 1) dx, so v = x^2 - x
Step 2: Apply integration by parts formula:
∫ (2x-1) ln(3x) dx = uv - ∫vdu
= (x^2 - x)ln(3x) - ∫(x^2 - x)(1/x) dx
Step 3: Simplify the integral:
= (x^2 - x)ln(3x) - ∫(x - 1) dx
Step 4: Integrate the simplified integral:
= (x^2 - x)ln(3x) - (x^2/2 - x). Step 5: Add the constant of integration, C:
= (x^2 - x)ln(3x) - (x^2/2 - x) + C
So, the evaluated integral is ∫ (2x-1) ln(3x) dx = (x^2 - x)ln(3x) - (x^2/2 - x) + C.
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Please help, I’ll mark as brainliest
Perimeter:
2L + 2W = 380
2L = 380 - 2W
C(W) = (2W x 9) + ((380-2W) x 8)
\(\tt C(W)=18W-16W+3040=2W+3040\)
Mark incorrectly says that 3 1/3 is the same as 3.13. convert 3 1/3 to a decimal correctly. what did he do wrong
Answer:
3.33
Step-by-step explanation:
3 1/3 is equal to ((3*3)+1)/3
= 10/3
= 3.33 ---------> Final answer
The clearinghouse and research center on servant leadership is now called a. The Center for Applied Ethics b. The Service and Leadership Center c. The Greenleaf Center for Servant Leadership d. The Center for Service and Ethical Behaviors
The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.
The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.
It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.
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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.
The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.
The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.
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In AABC, mA = 70° and m28=35".
Select the triangle that is similar to AABC.
A. APQR, in which m2P = 70° and
mAR= 75°
B. AMNP, in which mM= 70° and
m2N = 105
C. AJKL, in which mJ = 35° and
mZL=105"
D. ADEF in which m2D = 75° and
mZF=15°
Note that where in triangle ABC, m∠A = 70° and m∠8=35" the dimension that are similar to the above is: Option A ΔPQR, in which m∠P = 70° and m∠R= 75°
How is this so?Note that for the triangles to be similar, they must have the same internal angles or angles in a similar ratio.
We know that the angles 70° and 35°. By subtracting these from ΔABC we get the third angle which is ∠75°
So since to be a similar triangle, they must have the same angles, note that he only triangle with similar properties is ΔPQR because:
m∠P = 70° and m∠R= 75°.
180 - (70+75) = 35°
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Pizza Shop A pizza shop uses flour at a daily rate that is normally distributed with a mean of 15 pounds and a standard deviation of 6 pounds. When the pizza shop places an order for the flour it requires 4 days for the order to arrive. What is the reorder point if the pizza shop wants to limit the probability of a stockout to 7 percent? 63.10 pounds 60.00 pounds 75.04 pounds 62.16 pounds 77.76 pounds 71.40 pounds 107.76 pounds
The closest option to the reorder point is 71.40 pounds.
To determine the reorder point, we need to find the demand during the lead time and the safety stock.
First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.
Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.
Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.
The standard deviation is given as 6 pounds.
So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.
Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.
Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.
Therefore, the closest option to the reorder point is 71.40 pounds.
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Which statement is true for the vertical number line?
Answer:
a is correct
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Because -4 4/5 is FAR below 4 2/5
please specific explanation!
An \( R \)-module is cyclic if it can be generated by one element. Prove that every cyclic module is isomorphic to the \( R \)-module \( R / I \) for some ideal \( I \subset R \).
The cyclic \( R \)-module \( M \) is isomorphic to \( R/I \) for the ideal \( I \subset R \), as desired.
Every cyclic module is isomorphic to the \( R \)-module \( R/I \) for some ideal \( I \subset R \).
To prove this, let \( M \) be a cyclic \( R \)-module generated by an element \( m \). This means that every element \( x \) in \( M \) can be written as \( x = rm \), where \( r \) belongs to the ring \( R \).
Consider the map \( \varphi : R \to M \) defined by \( \varphi(r) = rm \). We will show that \( \varphi \) is a surjective homomorphism.
- **Homomorphism**: Let \( r_1, r_2 \) be elements of \( R \). Then \( \varphi(r_1 + r_2) = (r_1 + r_2)m = r_1m + r_2m = \varphi(r_1) + \varphi(r_2) \). Similarly, \( \varphi(r_1r_2) = (r_1r_2)m = r_1(r_2m) = r_1\varphi(r_2) \), satisfying the homomorphism property.
- **Surjective**: For any \( x \) in \( M \), we have \( x = rm \) for some \( r \) in \( R \). Thus, \( \varphi(r) = rm = x \), which shows that \( \varphi \) is surjective.
By the First Isomorphism Theorem, we know that \( M \) is isomorphic to the quotient module \( R/\ker(\varphi) \). Let's denote \( I = \ker(\varphi) \), which is an ideal in \( R \).
To show the isomorphism, we need to prove two things:
1. \( I \) is an ideal:
- \( I \) is a subgroup of the additive group of \( R \) since \( \ker(\varphi) \) is a subgroup.
- For any \( r \) in \( R \) and \( i \) in \( I \), we have \( \varphi(ri) = r\varphi(i) = r0 = 0 \). Hence, \( ri \) belongs to \( I \), and \( I \) is closed under multiplication with elements from \( R \).
2. The isomorphism between \( M \) and \( R/I \):
Define a map \( \psi : R/I \to M \) by \( \psi(r+I) = rm \). We can show that \( \psi \) is well-defined, a homomorphism, and an isomorphism.
- **Well-defined**: If \( r_1 + I = r_2 + I \), then \( r_1 - r_2 \) belongs to \( I \). So, \( \psi(r_1 + I) = r_1m = (r_2 + (r_1 - r_2))m = r_2m + (r_1 - r_2)m = \psi(r_2 + I) \).
- **Homomorphism**: The addition and scalar multiplication in \( R/I \) are inherited from \( R \), and \( \psi \) preserves these operations.
- **Isomorphism**: \( \psi \) is bijective since it has an inverse given by \( \varphi \). It is also a homomorphism, satisfying the isomorphism property.
Therefore, the cyclic \( R \)-module \( M \) is isomorphic to \( R/I \) for the ideal \( I \subset R \), as desired.
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Which equation represents the line that passes through the point (-2,5) and has a slope of - 3
Answer: Answer:
A. is your answer
When using the Slope Method, your answer is y - 5 = 4(x - 2).
Feel free to give brainliest.
Have a great day everyone!
I'm learning the pythagorean theorem whats the answer and how do you solve it
Answer:
The answer is 13.9284 or the further rounded version which is 14
Step-by-step explanation:
Equation: a^2+b^2=c^2
Filled in equation: 5^2+13^2=c^2
Ok let's solve it...
5x5 is 25
13x13 is 169
169+25= 194
Next, you need to square 194
The square root of 194 is 13.93
Hope this helped!
Plz mark brainliest :D
lindsay is going to the gym to use either a stairmaster or a stationary bike. she would prefer the stairmaster, but using a bike is acceptable as well. the probability of getting a stairmaster is .20. given that she gets the stairmaster, the probability that she will have it for forty minutes straight is .10. given that she gets a bike, the probability is 0.50 that she will be able to use it for forty minutes straight. what is the probability that lindsay worked out for forty minutes straight today?
In this problem, we are asked to find the probability that Lindsay was able to work out for 40 minutes straight at the gym.
To do this, we must take into account the probabilities of her getting either a stairmaster or a stationary bike, and the probability of being able to use it for 40 minutes straight given the equipment she gets.
To find the probability that Lindsay worked out for 40 minutes straight, we need to use the law of total probability. The probability of working out for 40 minutes straight can be expressed as:
P(40 minutes straight) = P(Stairmaster) * P(40 minutes straight | Stairmaster) + P(Bike) * P(40 minutes straight | Bike)
Plugging in the values given, we have:
P(40 minutes straight) = 0.20 * 0.10 + 0.80 * 0.50 = 0.22
So, the probability that Lindsay worked out for 40 minutes straight today is 0.22.
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