Data set T has a positive correlation coefficient" and "Data set T has a correlation coefficient that is closer to 1 or -1".
The given data sets are labeled as data set S and data set T with correlation coefficients -0.91 and 0.89 respectively. Our objective is to determine which data set has a stronger linear relationship and how we know this.
Part A: Which data set has a stronger linear relationship? Solution: The strength of the linear relationship between the data sets can be judged by correlation coefficient values. A correlation coefficient is a statistical measure used to determine the strength and direction of a relationship between two variables.
It is a value between -1 and 1 where -1 indicates a perfect negative relationship, 0 indicates no relationship and 1 indicates a perfect positive relationship. The correlation coefficient closer to 1 or -1 indicates a stronger linear relationship between the two variables.
Data set T has a correlation coefficient of 0.89 which is closer to 1 as compared to data set S which has a correlation coefficient of -0.91 which is closer to -1. Therefore, data set T has a stronger linear relationship. Thus, the correct answer is "Data set T has a stronger linear relationship".
Part B: How do you know this?Solution: As explained earlier, a correlation coefficient closer to 1 or -1 indicates a stronger linear relationship between two variables.
A positive correlation coefficient indicates a positive linear relationship between two variables and a negative correlation coefficient indicates a negative linear relationship between two variables. Data set T has a positive correlation coefficient of 0.89 indicating a positive linear relationship between the two variables.
In contrast, data set S has a negative correlation coefficient of -0.91 indicating a negative linear relationship between the two variables.
Hence, we can conclude that Data set T has a stronger linear relationship than data set S because it has a higher correlation coefficient which is closer to 1.
Therefore, the correct answers are "Data set T has a positive correlation coefficient" and "Data set T has a correlation coefficient that is closer to 1 or -1".
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find ABD
help please!!
Answer:
20 degrees
Step-by-step explanation:
If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!
Answer:
\(m\angle ABD =20^\circ\)
Step-by-step explanation:
According to the given statement the two angles are equal.
\(3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ\)
Best Regards!
If two measurements have the same number of decimal
places and the same number of significant digits, is it ever possible for the
result of an operation performed using these measurements to have a different
number of decimal places or significant digits than the original measurements?
Explain.
Answer:
Yes.
Step-by-step explanation:
Yes, it is possible. For example, 0.2 and 0.2 both have one decimal place and one significant digit. Their product, 0.04, has one significant digit, but has 2 decimal places.
an implicit equation for the plane through (4,−3,1) normal to the vector ⟨3,0,1⟩ is
The implicit equation is 3x+ z -13=0
An implicit equation for the plane through (4,-3,1) normal to the vector <3,0,1> is:
ax + by + cz + d = 0
where a = 3, b = 0, c = 1, d = -13
Implicit function is a function with multiple variables, and one of the variables is a function of the other set of variables. A function f(x, y) = 0 such that it is a function of x, y, expressed as an equation with the variables on one side, and equalized to zero. An example of implicit function is an equation y2 + xy = 0.
The relation y = f(x) is an explicit function, with y represented in terms of x. Further in a implicit function, the relationship between x and y is expressed as g(x, y) = 0, where y is an implicit function of x. More specifically the value of x defines the value of y such that on substitution of x, y in the expression on the left-hand side, equalizes it to zero.
Also, a function f(x, y, z) = 0 such that one variable is dependent on the other two variables, is an implicit function.
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hi please figure this out me and my sister are so confused
Answer:
y = - 7
Step-by-step explanation:
Since the solution is always the same for y, y equals that solution and does not depend on x.
Consider the following series. [infinity] Σn = 1 4^(n + 1) 5^−n. Determine whether the geometric series is convergent or divergent. Justify your answer. O Converges; the series is a constant multiple of a geometric series. O Converges; the limit of the terms, an, is 0 as n goes to infinity. O Diverges; the limit of the terms, an, is not o as n goes to infinity. O Diverges; the series is a constant multiple of the harmonic series.
Converges; the series is a constant multiple of a geometric series. Option A
The given series can be written as:
\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)
= \(4 * \sum n=1 to \infty (4/5)^n\)
This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.
The sum of a convergent geometric series with first term a and common ratio r is given by:
sum = a / (1 - r)
Applying this formula, we get:
sum = 4 / (1 - 4/5) = 4 * 5 = 20
Therefore, the given series converges to 20.
The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.
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54. 92x +3 - 2187
What is x
Answer:
x=39.76693372
Step-by-step explanation:
Subtract 2187 from 3.
54.92x−2184=0
Add 2184
to both sides of the equation.
54.92x=2184
Divide each term by 54.92
and simplify.
x=39.76693372
urn a contains six white balls and seven black balls. urn b contains five white balls and three black balls. a ball is drawn from urn a and then transferred to urn b. a ball is then drawn from urn b. what is the probability that the transferred ball was white given that the second ball drawn was white?
Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.
To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:
P(A|B) = P(B|A) * P(A) / P(B)
where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.
In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:
P(A|B) = P(B|A) * P(A) / P(B)
P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.
P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.
P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.
To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.
The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.
Therefore, we can calculate P(B) as follows:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= (2/3) * (6/13) + (5/9) * (7/13)
= 89/117
Now we can plug in all the values into Bayes' theorem to find P(A|B):
P(A|B) = P(B|A) * P(A) / P(B)
= (2/3) * (6/13) / (89/117)
= 52/89
Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.
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On a typical day, brianne uses her computer for 3 hours and her hair dryer for 10 minutes. what is the total cost of using both appliances for 6 days?
The total cost of using both appliances for 6 days is about 3000-4000 watt.
According to the statement
Brianne uses her computer for 3 hours
Brianne uses hair dryer for 10 minutes
Now we use the formula
C = wtc/1000
substitute the values in it
then
C = 600*6/1000
C = 3.6
and same for hair dryer
So, The total cost of using both appliances for 6 days is about 3000-4000 watt.
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Two parallel chords in a circle have lengths 10 and 14, and the distance between them is 6. The chord parallel to these chords and midway between them is of length $\sqrt{a}$. Find $a$.
The value of a is 184. The above solution is derived using Pythagoras' theorem .
by using Pythagoras' theorem we will get 3 equations
\(x^2 + 7^2 = r^2\)\((3-x)^2 + (\frac{\sqrt{a}}{2}) ^2 = r^2\)\(5^2 + (3+ (3- x))^2 = r^2\)now equating 1 and 3 equations we will get,
\(x^2 + 7^2 = 5^2 + (3+ (3- x))^2\)
\(x^2 + 7^2 = 5^2 + (6^2+ x^2 + 12x)\)
after solving this equation we get x = 1
now putting the value of x in equation 1 we get
\(r^2 = x^2 + 7^2\\r^2 = 1 + 49\\r^2 = 50\)
now putting the value of r in equation 2 we get
\((3-x)^2 + (\frac{\sqrt{a}}{2}) ^2 = r^2\)
\((3-1)^2 + (\frac{\sqrt{a}}{2}) ^2 = 50\)
on solving the equation, we get
a = 184
What is Pythagoras' theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry.According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle.To learn more about Pythagoras' theorem with the given link
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URGENT
Find the length of side x in simplest radical form with a rational denominator.
value of side x in the triangle is 6 ( simplest radical form with a rational denominator is 6/1).
Define right triangleA right triangle is a triangle that has one angle measuring 90 degrees, which is also called a right angle. The hypotenuse is the side that faces the right angle, while the legs are the other two sides.
Define trigonomteric functionTrigonometric functions are a set of mathematical functions used to relate the angles and sides of a right triangle. Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent are the six fundamental trigonometric functions (cot).
In the given right angles triangle
Using trigonomteric function
Tan30°=√12/x
1/√3=√12/x
x=√12×√3
x=√36
x=6
Hence, value of side x in the triangle is 6.
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A syllabus has the following weighted grade scale: 15% HW 60% Exams 25% Final The lowest exam from the class will be dropped. A student had the following scores: 100% HW 90% Exam 1, 86% Exam 2, 92% Exam 3, 84% Exam 4 78% Final. Calculate the final grade in the course.
To calculate the final grade in the course, we need to take into account the weighted grade scale and the fact that the lowest exam score will be dropped.
Let's break down the calculation step by step:
Calculate the average exam score after dropping the lowest score:
Exam 1: 90%
Exam 2: 86%
Exam 3: 92%
Exam 4: 84%
We drop the lowest score, which is Exam 2 (86%), and calculate the average of the remaining three exam scores:
Average exam score = (90% + 92% + 84%) / 3
= 88.67%
Calculate the weighted score for each category:
Homework (HW): 15% of the final grade
Exams (average of three exams): 60% of the final grade
Final Exam: 25% of the final grade
Weighted HW score = 100% * 15%
= 15%
Weighted Exam score = 88.67% * 60%
= 53.20%
Weighted Final Exam score = 78% * 25%
= 19.50%
Calculate the final grade:
Final Grade = Weighted HW score + Weighted Exam score + Weighted Final Exam score
Final Grade = 15% + 53.20% + 19.50%
= 87.70%
The final grade in the course, taking into account the weighted grade scale and dropping the lowest exam score, is 87.70%
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Research question: Are more than half of all ring-tailed lemurs left hand dominant? A sample of 60 ring-tailed lemurs was obtained and each individual's hand preference (right/left) was recorded. Which of the following procedures should be conducted to directly address this research question? O Paired means t test O One sample proportion z test O One sample mean t test
The procedure that should be conducted to directly address this research question is the one sample proportion z test. This is because the research question is about the proportion of ring-tailed lemurs that are left hand dominant, which is a categorical variable. The sample size is greater than 30, so the central limit theorem can be applied and the distribution of the sample proportion can be assumed to be approximately normal. Therefore, a one sample proportion z test can be used to test whether the proportion of left hand dominant ring-tailed lemurs is greater than 0.5.
The one sample proportion z test is a statistical test used to determine whether a sample proportion is significantly different from a hypothesized population proportion. This test requires a categorical variable and a sample size greater than 30 in order to apply the central limit theorem and assume normality of the distribution of the sample proportion. The test statistic is calculated by subtracting the hypothesized population proportion from the sample proportion and dividing by the standard error of the sample proportion.
To directly address the research question of whether more than half of all ring-tailed lemurs are left hand dominant, a one sample proportion z test should be conducted. This test is appropriate for a categorical variable with a sample size greater than 30 and assumes normality of the distribution of the sample proportion. The test will determine whether the proportion of left hand dominant ring-tailed lemurs is significantly different from 0.5, which is the null hypothesis.
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For parts (a) and (b), write an inequality to represent the given statement. Let x represent the number of hours that Emily spends studying algebra, and let y represent the number of hours she spends studying history. a. Emily will spend no more than 2 hr studying history. b. The number of hours spent studying algebra cannot be negative. Select one: a. a. y<2; b. x≥0 b. a. y≤2; b. x≥0 C. a. x≤2; b. y≥0 d. a. x>2; b. y≥0
The correct answer is: a. y ≤ 2; b. x ≥ 0. To represent the given statements as inequalities, let's consider the variables x and y,
x: Number of hours Emily spends studying algebra.
y: Number of hours Emily spends studying history.
a. Emily will spend no more than 2 hours studying history.
This statement can be translated into the inequality y ≤ 2. It means that the value of y should be less than or equal to 2. This ensures that Emily does not exceed 2 hours of studying history.
b. The number of hours spent studying algebra cannot be negative.
This statement can be translated into the inequality x ≥ 0. It means that the value of x should be greater than or equal to 0. This ensures that the number of hours spent studying algebra is not negative.
Therefore, the correct choice that represents the given statements is:
a. y ≤ 2; b. x ≥ 0.
Option (a) correctly represents the statement that Emily will spend no more than 2 hours studying history, as indicated by y ≤ 2.
Option (b) correctly represents the statement that the number of hours spent studying algebra cannot be negative, as indicated by x ≥ 0.
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(a) Determine the probability that the algorithm is incorrect if it is known the photo is about fashion.
(b) Using the answers from part (a) and 3.29(b), compute
P (mach learn is pred fashion | truth is fashion)+ P (mach learn is pred not | truth is fashion)
(c) Provide an intuitive argument to explain why the sum in (b) is 1
The probability of the algorithm being incorrect when the photo is about fashion depends on the accuracy of the algorithm in predicting fashion-related content. This probability can be calculated based on the given information.
(a) The probability of the algorithm being incorrect, given that the photo is about fashion, can be denoted as P(incorrect | fashion). This probability depends on the accuracy of the algorithm in correctly identifying fashion-related content. If the algorithm has a high accuracy in predicting fashion-related content, then P(incorrect | fashion) would be low. On the other hand, if the algorithm has a low accuracy in predicting fashion-related content, then P(incorrect | fashion) would be high.
(b) Using the answers from part (a) and 3.29(b), we can compute P(mach learn is pred fashion | truth is fashion) + P(mach learn is pred not | truth is fashion), where P(mach learn is pred fashion | truth is fashion) is the probability that the algorithm predicts fashion correctly when the truth is indeed about fashion, and P(mach learn is pred not | truth is fashion) is the probability that the algorithm predicts fashion incorrectly when the truth is about fashion.
(c) The sum of P(mach learn is pred fashion | truth is fashion) + P(mach learn is pred not | truth is fashion) is 1 because these two probabilities together represent all possible outcomes when the truth is about fashion. The algorithm can either predict fashion correctly (P(mach learn is pred fashion | truth is fashion)) or predict fashion incorrectly (P(mach learn is pred not | truth is fashion)), but there is no other possibility. Therefore, the sum of these two probabilities is equal to 1, as it accounts for all possible outcomes.
Therefore, the sum of P(mach learn is pred fashion | truth is fashion) + P(mach learn is pred not | truth is fashion) is 1.
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BLOOD TYPES For every 10 people that donated blood, 3 had blood type A positive. If 51 people who had type A positive donated blood, how many people donated blood?
Answer:add all the numbers together then divide the answer by 10
Step-by-step explanation:
I need the answer in 15 mins!!!
About How Much Greater Is The Area Of The Largest Ocean Than The Area Of The Smallest Ocean?
The Pacific Ocean is the largest and deepest of the world ocean basins. Covering approximately 63 million square miles.
Arctic Ocean
The Central Arctic Ocean is the world's smallest ocean and is surrounded by Eurasia and North America.
(5.4 million square miles), is the world's smallest ocean.
Knowing that.... 63 - 5.4 = 57.6
57.6 million square milesHere you goooooooooo
Answer:i can't read the full thing, type it out and explain what it's asking so that it's easier for me to answer, please
Step-by-step explanation:
Find missing length.
One diagonal of a kite is twice as long as the other diagonal. If the area of the kite is 240 square inches, what are the lengths of the diagonals?
If one diagonal of a kite is twice as long as the other diagonal and the area of the kite is 240 square inches, then the length of the shorter diagonal is 4√15 inches and the length of the longer diagonal is 8√15 inches.
To find the length of the diagonals, follow these steps:
Let the length of the shorter diagonal = x. So, the length of the longer diagonal = 2x.Area of the kite = (1/2)×product of diagonals= (1/2)×x×2x= x² square inchesSince the area of the kite is 240 square inches, then x² = 240 ⇒x = √240 ⇒x = 4√15 unitsTherefore, the length of the shorter diagonal is x = 4√15 inches and the length of the longer diagonal is 2x = 8√15 inches.Learn more about kite:
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A carpenter wants to make a ladder, but he want to calculate the required wood for it. The distance between each step is 1 foot Price of wood is 500 per foot calculate the price of wood as well. Example: Input: Output: Enter the length of ladder in foot: 25 Enter the width of ladder in foot: 2 Required wood in foot: 98 Cost of wood is: 49000
Answer:
Part A
The required wood for the ladder is 98 feet
Part B
The cost of the wood is 49,000
Step-by-step explanation:
Part A
The dimensions of the ladder to be made with wood are;
The distance between each step of ladder = 1 foot
The length of the ladder = 25 feet
The width of the ladder = 2 feet
The required wood = 2 × 25 feet/rail + 2 feet/steps × 24 steps = 98 feet
The required wood for the ladder = 98 feet
Part B
The cost of the wood = 500/foot × 98 feet = 49,000
The cost of the wood = 49,000
Transcribed image text: Let gbe a differentiable function such that g(10) = 2e and g' (x) = 5e VI. What is the value of g (2) ? А 1.329 B 4.107 с 6.441 D 9.544
Based on a differentiable function g'(x) = 5x, the value of g(2) is 1.329 (A).
To find the value of g(2), we need to use the formula for the derivative of a differentiable function, which is:
g'(x) = (g(x+h) - g(x))/h.
Since we know that g'(x) = 5e and g(10) = 2e, we can plug these values into the formula and solve for g(2):
5e = (g(2+8) - g(2))/8
5e = (g(10) - g(2))/8
5e = (2e - g(2))/8
40e = 2e - g(2)
g(2) = 2e - 40e
g(2) = -38e
g(2) = -38(2.71828)
g(2) = -103.29464
g(2) = 1.329
Therefore, the value of g(2) is 1.329.
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Find the slope of the line that passes through Point A(3, -9) and the origin using m=rise/run
Answer:
-3
Step-by-step explanation:
To find the slope (m) of the line that passes through Point A(3, -9) and the origin (0, 0), we can use the formula:m = rise/run = (change in y)/(change in x)We can calculate the change in y and change in x as follows:
Change in y = y2 - y1 = 0 - (-9) = 9
Change in x = x2 - x1 = 0 - 3 = -3
Substituting these values into the formula, we get:
m = rise/run = 9/-3 = -3
Therefore, the slope of the line that passes through Point A(3, -9) and the origin is -3.
Solve x. 16.8 = x + 2.3
Answer: 14.5
Step-by-step explanation:
16.8 = x + 2.3
x + 2.3 = 16.8 = x + 2.3 - 2.3 = 16.8 - 2.3
= 14.5
Answer:
The solution to the equation 16.8 = x + 2.3 is x = 14.5.
Step-by-step explanation:
The given equation is a simple linear equation of one variable.
A linear equation is an equation that can be written in the form:
ax + b = 0 where x is the variable, a and b are constants, and a is not equal to 0.Linear equations are called linear because the variables appear only in the first power (i.e., degree 1), and the equation represents a straight line when graphed in two dimensions.
This is a linear equation in one variable.
To solve for x, we need to find x on one side of the equation. We can do this by subtracting 2.3 from both sides of the equation:
16.8 - 2.3 = x
Simplifying the left-hand side, we get:
14.5 = x
Therefore, the solution to the equation 16.8 = x + 2.3 is x = 14.5.
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5(1-b)=8(b+2) solve for b
Step-by-step explanation:
Hey there!!
Here,
\(5(1 - b) = 8(b + 2)\)
\( \: \: \: \: \: 5 - 5b = 8b + 16\)
\( \: \: \: \: \: \: \: 8b + 5b = 5 - 16\)
\( \: \: \: \: \: \: \: 13b = - 11\)
\( \: \: \: \: \: \: \: b = \frac{ - 11}{13} \)
Therefore the value of b is -11/13.
Hope it helps...
Step-by-step explanation:
first open up the brackets according to BODMAS to get
5-5b=8b+16
then collect like terms together and make sure to change the sighns eg - becomes +
5-16=8b+5b
you get
-11=13b
then divide both sides with 13 to get b
-11/13=b ( you can leave as a negative decimal according to the question)
Hoang has worked as a nurse at Springfield general hospital for 8 years longer than her friend bill. Two years ago,she had been at the hospital for twice as long. How long has each been at the hospital ?
Answer:
bill = 6
hoang = 14
Step-by-step explanation:
the following equations can be formed from the question
H = 8 + b eqn 1
h - 2 = 2b eqn 2
make h the subject of the formula in eqn 2
h = 2b + 2
2b + 2 = 8 + b
collect like terms
2b - b = 8 - 2
b = 6
h = 8 + 6 = 14
Her friend bill has worked 6 years in the hospital and Hoang has worked 14 years in the hospital.
She worked as a nurse for 8 years longer than her friend bill.
let
x = how long bill has worked in the hospital
Therefore,
Time Hoang has worked in the hospital = x + 8
Two years ago she has been at the hospital for twice as long . Therefore,
x + 8 - 2 = 2x
6 = x
x = 6
Her friend bill has worked 6 years in the hospital and Hoang has worked 6 + 8 = 14 years in the hospital.
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Amy, ravi, and bob have a total of $127 in their wallets. bob has 4 times what ravi has. ravi has $7 less than amy. how much do they have in their wallets
Amy has $ 27, Bob has $ 80 and Ravi has $ 20 amounts in their wallets.
Finding unknown quantity using Linear Equation:
A mathematical statement used to find an unknown quantity in a given problem is known as a Linear Equation. Here to represent the unknown quantity we will use variables like x, y, and so on.
Here we have,
Amy, Ravi, and Bob have a total of $127 in their wallets.
Since we don't know the amount of each person we represent them with different variables
Let 'a' be Amy's amount
'b' be Bob's amount
'r' be Ravi's amount
Then the total amount a + b + r = 127 -----(1)
Given that,
Bob has 4 times what Ravi has
=> b = 4r ----(2)
Ravi has $7 less than Amy
=> r = a - 7 ----(3)
From (2) and (3)
b = 4(a - 7)
b = 4a - 28 ----(4)
Now substitute (3) and (4)
=> a + 4a - 28 + a - 7 = 127
=> 6a - 35 = 127
=> 6a = 162
=> a = 27
From (3)
r = a - 7 = 27 - 7 = 20
From (2)
b = 4r = 4(20) = 80
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um so like hii,, not school related or anyrhing but ill just like to ask anyone if they know the reason why ur phone (samsung) like randomly delted ur music and photos. yah and ill like to know how u could resolve that from happening again
Answer: Can you check the "Recently Deleted" folder? You may find this in the "My Files" app. If this does not work, and you can confirm you have no backups whatsoever, then your photos are as good as gone. This has happened to Android devices in the past (or Samsung devices mostly) where all their media would just disappear. As far as I know, all Samsung themselves say is to restart your phone to try your luck. An app crashing or some form of corrupt media may have caused your photos to go missing. There may, however, still be a small chance that the photos are there, somewhere on your phone, you just can't find them. I advise checking the storage in "Device Care" and see if the Gallery app is using much storage. If it is, I would connect it to a PC and look through the files again.
Step-by-step explanation:
What is 2 7/10+4 1/10 in simplest form
Answer:
\(6\frac{4}{5}\)
Step-by-step explanation:
\(2\frac{7}{10}\) + \(4\frac{1}{10}\) = ( 2 + 4 ) + ( \(\frac{7}{10}\) + \(\frac{1}{10}\) ) = 6 \(\frac{7+1}{10}\) = 6 \(\frac{8}{10}\) = \(6\frac{4}{5}\)
How might a business encourage its employees to participate in a retirement investment plan?
O By charging fines to those who do not sign up
O By offering a large variety of plan options
O By charging higher transaction fees than brokers
O By offering plans with strong returns and low fees
The correct option regarding how a business might encourage its employees to participate in a retirement investment plan is given as follows:
By offering a large variety of plan options.
What are retirement investment plans?
Retirement investment plans are plans in a which a part of the employee's salary goes towards savings, which are retirement plans, as the monetary amount is saved, generating investment, and then when the employee retires this amount with interest is deposed from the bank account.
The most well know retirement plan is the 401k, and the company should offer various options to it's employees, as they may have different interests, such as how long it will take for them to retire, or the amount they want to save, depending on their costs of living.
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a 21-ft ladder is leaning against a building. if the base of the ladder is 9 ft from the base of the building, what is the angle of elevation of the ladder?
A 21-ft ladder is leaning against a building. if the base of the ladder is 9 ft from the base of the building, then the angle of elevation of the ladder will be: α = 71° .
From trigonometry we have:
cos α = 7/21
7 = 21 cos(α)
and:
α = arc cos(7/21) = 70.5 ≈ 71∘
The angle of elevation is the angle between the horizontal line of sight and the article.
Considering that, A 21-ft stepping stool is resting up against a structure. Assuming the foundation of the stepping stool is 9 ft from the foundation of the structure,
Subsequently, Angle of Elevation is x = 71° and the Level of stepping stool arriving at the wall = 21 ft .
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