An analyst used the regression line for the date to the right to predict the annual salary for a registered nurse with 28 years of experience is this a valid prediction? Explain your reasoning Registered Nurses 70 65 55 A No, the prediction is not meaningful because the regression line may not be used to generate meaninghel predictions B. Yes, the prediction is meaningful because x 28 makes sense in the context of the original data set. C. Yes, the prediction is meaningful because x = 28 is not part of the original data set. D. No, the prediction is not meaningtul because x = 28 is outside the range of the original data set
Answers
The answer is No. The prediction is not meaningful because the regression line may not be used to generate meaningful predictions for values of x that are outside the range of the original data set.
The regression line is a line that best fits the data points in the original data set. The line can be used to predict the value of y for a given value of x. However, the regression line is only valid for values of x that are within the range of the original data set.
In this case, the value of x is 28. This value is outside the range of the original data set, which is from 1 to 10. Therefore, the prediction is not meaningful.
It is important to note that the regression line is only a prediction. The actual value of y for a given value of x may be different from the predicted value. This is because the regression line is based on a limited amount of data.
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Related Questions
John spent 80% of his money and saved the rest. Peter spent 75% of his money and saved the rest. If they saved the same amount of money, what is the ratio of John’s money to Peter’s money? Express your answer in its simplest form.
Answers
The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.
Let's assume John has 'x' amount of money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'
So,
p = x - 80x/100 (equation 1)
q = y - 75y/100 (equation 2)
According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.
p = q
x- 80x/100 = y - 75y/100
x - 0.8x = y - 0.75y
0.2x = 0.25y
x = 0.25y/0.2
x/y = 0.25/0.2
x/y = 25/20
x/y = 5/4
Hence, the ratio of John's money to Peter's money is 5/4.
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8th grade math problems I need help I will mark brainliest + 50 points
Answers
Step-by-step explanation:
just a question should I help you with all of them?
when physicians diagnose arterial blockages, they quote the reduction in flow rate. if the flow rate in an artery has been reduced to 10.0% of its normal value by a blood clot and the average pressure difference has increased by 20.0%, by what factor has the clot reduced the radius of the artery?
Answers
The radius reduced to 57.3% of its normal value.
The expression of Poiseuille's law for flow in a tube is:
Q = Δpπr⁴/8ηl
where:
Q = is the flow rate
P₁ = is the pressure at first end of vain
P₂ = is the pressure at the other end
η = is the viscosity of the concrete
r - radius of pipe
l = is the length
Re arrange the expression for the radius of the pipe,
r = (8Qηl/πΔP)¹/⁴
the flow rate in an artery has been reduced to 10.0%and the difference in blood pressure is increased by 20%.
so,
Q' = 0.100Q and
ΔP' = 1.20ΔP
SUbstitute the above points.
r' = (8( 0.100Qηl/π(1.20ΔP))¹/⁴
= 0.537(8Qηl/πΔP)¹/⁴
Combine the expression of radius before the flow and pressure changes and the expression derived or the new radius,
r' = 0.537r
Hence the radius reduced to 57.3% of its normal value.
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Find two positive numbers whose difference is 13 and whose product is 230
Answers
Answer:
23 and 10
Step-by-step explanation:
23 - 10 = 13
23 * 10 = 230
Answer:
10 and 23
Step-by-step explanation:
an account with an apr of 4% and quarterly compounding increases in value every three months by
a.1%
b.1/4%
c.4%
Answers
The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.
Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.
To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.
Your answer: a. 1%
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12 ÷ 4 = no one has it
Answers
Answer: 3
Step-by-step explanation:4 X 3 is 12
Comparing two algorithms.
Say we have two different algorithms with respective runtimes of f(n) and g(n). Given the following cases, prove whether or not f(n) = ϴ(g(n)) is true in each case. Show your work but with the crucial steps only. P.S. sqrt(n) means the square-root of n, aka n^(½).
Case
f(n)
g(n)
A
log(n^200)
log(n^2)
B
sqrt(n)
log(n)
C
3^n
5^n
D
sin(n)+3
cos(n)+1
Answers
f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).
A) \(log(n^200) log(n^2)\)
Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100
This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.
B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sqrt(n) / log(n)]
As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
C) 3^n 5^n
Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([3^n / 5^n]\)
As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
D) sin(n) + 3 cos(n) + 1
Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]
As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.
Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.
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Its in the form of a picture
Answers
The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
What is the slope-intercept form?
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.
A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.
Let's check each of the given equations to see which ones are of this form:
A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.
B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.
C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
2y = -6x - 4
y = -3x - 2
This equation has the same slope as the given line, so it is parallel to the given line.
D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
-2y = -6x - 4
y = 3x + 2
This equation has the same slope as the given line, so it is also parallel to the given line.
Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
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Need Help Please! Geometry question! I’m Not Sure with my answer!
Answers
∠A= ∠R , and the triangle is congruent.
What are angles?
When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
ΔBAT AND ΔCRBwith the help of SAS property we can say thattriangle is congruent and equal.Hence,∠A= ∠R , and the triangle is congruent.
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which of these is equal to .13?
a. 1/3
b. 1 1/3
c. 13/100
d. 12/90
Answers
Answer:
C. 13/100
Step-by-step explanation:
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 430 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 350 vines sprayed with Action were checked. The results are:
Insecticide Number of Vines Checked (sample size) Number of Infested Vines
Pernod 5 430 26
Action 350 40
At the 0.01 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Hint: For the calculations, assume the Pernod 5 as the first sample.
1. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.)
H0 is reject if z< _____ or z > _______
2. Compute the pooled proportion. (Do not round the intermediate values. Round your answer to 2 decimal places.)
3. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Do not round the intermediate values. Round your answer to 2 decimal places.)
4. What is your decision regarding the null hypothesis?
Reject or Fail to reject
Answers
1 The decision rule for a two-tailed test at a 0.01 significance level is:
H0 is reject if z < -2.58 or z > 2.58
2 The pooled proportion is calculated as: p = 0.0846
3 The value of the test statistic (z-score) is calculated as: z = -2.424
4 There is not enough evidence to conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.
How to explain the significance level2 The pooled proportion is calculated as:
p = (x1 + x2) / (n1 + n2)
p = (26 + 40) / (430 + 350)
p = 66 / 780
p = 0.0846
3 The value of the test statistic (z-score) is calculated as:
z = (p1 - p2) / ✓(p * (1 - p) * (1/n1 + 1/n2))
z = (26/430 - 40/350) / ✓(0.0846 * (1 - 0.0846) * (1/430 + 1/350))
z = -2.424
4 At the 0.01 significance level, the critical values for a two-tailed test are -2.58 and 2.58. Since the calculated z-score of -2.424 does not exceed the critical value of -2.58, we fail to reject the null hypothesis.
There is not enough evidence to conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.
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Y-2#)_424-435 help me
Answers
Thanks for the points!
Answer:
thanks for points
Step-by-step explanation:
In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!
Answers
The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.
How does this work?A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.
When we add two rational numbers together, we can use the following formula:
a/b + c/d = (ad + bc) / bd
where a, b, c, and d are integers and b and d are not equal to zero.
This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.
For example, if we want to add 1/2 and 2/3 together, we can use the formula above:
1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6
Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.
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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).
If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.
help help help help help help help help help help help help help
Answers
helppppppppppppppppppppppppppppp
Answers
Answer:
12000 cubic meters
Step-by-step explanation:
v=(1/3)(900)(40)
What is -5n+7<57 and 6n+2<8
Answers
Answer:
if -5n+7<57, then n>-10.
if 6n+2<8, then n<1.
Step-by-step explanation:
-5n+7<57
1. subtract 7 from both sides:
-5n+7 -7< 57 -7
-5n<50
2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):
-5n ÷-5<50 ÷-5
n>-10
6n+2<8
1. subtract 2 from both sides:
6n+2 -2<8 -2
6n<6
2. divide both sides by 6:
6n ÷6<6 ÷6
n<1
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.interchangingreflectingexponentintercept
Answers
The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.
For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.
The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.
In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.
Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.
Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.
Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.
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Introduction to Probability
Please show all work
Suppose you are taking an exam that only includes multiple choice questions. Each question has four possible choices and only one of them is correct answer per question. Questions are not related to the material you know, so you guess the answer randomly in the order of questions written and independently. The probability that you will answer at most one correct answer among five questions is
Answers
The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.
To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.
For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.
For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.
To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:
Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.
Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.
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What is the sampling method used in research that involve selecting the same percentage of groups of participants, such as the same percentage of republicans and democrats
Answers
The sampling method used in research that involves selecting the same percentage of groups of participants, such as the same percentage of Republicans and Democrats, is called stratified random sampling.
Stratified random sampling is a sampling method in which a population is divided into strata (subgroups) based on particular characteristics, such as race, gender, age, income, etc. Then, a random sample is taken from each stratum in proportion to the population's size.
This Stratified random sampling method is used when researchers want to ensure that there is adequate representation of each subgroup in the sample, as it allows for equal representation of all subgroups. By dividing the population into strata, the variability within each stratum is reduced, leading to more accurate results.Stratified random sampling ensures that all subgroups are adequately represented, reducing bias and improving the generalizability of the findings. This Stratified random sampling method is commonly used in political polling, where researchers want to ensure that their sample is representative of the population in terms of political affiliation, gender, age, and other factors.Hence, the researchers can easily estimate the percentage of the whole population who share the characteristics that each stratum represents using Stratified random sampling method.
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Solve using long division
(12y^4-5y^2+y+7) ÷ (3y^2-2)
Please show steps at least a little please and thank you sm
Answers
Answer:
Ill be back let me solve it
Step-by-step explanation:
someone solve this and tell me steps
Answers
Answer:
m<A = 35
m<B = 55
Step-by-step explanation:
Complementary angles mean the 2 angles add up to 90 so:
y - 16 + y + 4 = 90
2y - 12 = 90
2y = 102
y = 51
m<A:
y - 16
51 - 16
35
m<B:
y + 4
51 + 4
55
HELP!!!!! Correct only!
Answers
Answer:811.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
(7.5ftx9ftx12ft)+[5(9ftx12ft)+2(1/2x5x√(4.5^2+1.5^2)ft)]
=810ft+[540ft+2(1/2x5x6.75)ft]
=810ft+(540ft+33.75ft)
=1383.75ft
(sorry I'm not too sure if it is correct )
in a stopwatch time study, the number of cycles that must be timed is a function of: (i) the variability of observed times. (ii) the desired accuracy for the estimated job time. (iii) the desired level of confidence for the estimated job time.
Answers
To calculate the number of cycles we need above 3 options
Stop Watch Time Study:
Stop Watch Time Study is one of the equipment used for Time Study. It is employed for measuring the time taken by an operator to complete the work. Stop watch used for time study purpose should be very accurate and preferably be graduated in decimals so that it can recover even up to 0.01 minute.
A large hand in the stop watch is revolved at a speed of one revolution per minute. The dial of the stop watch is divided into 100 equal divisions. The small hand inside the stop watch revolves at a speed of one revolution in 30 minutes.
Given that
In a stopwatch time study, the number of cycles that must be timed is a function of:
options are
(i) the variability of observed times.
(ii) the desired accuracy for the estimated job time.
(iii) the desired level of confidence for the estimated job time
To calculate the number of cycles we need above 3 options
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well im of brainly for the rest of the month probably, everyone better bring it up to a C
Answers
Answer:
lol
Step-by-step explanation:
How much is 11 pounds of apples
Any prices are fine
Answers
Answer:
.......................... think the ans is 14.52 is ans
Which function would be produced by a horizontal stretch of the graph of y =
Vat followed by a
reflection in the s-axis ?
Answers
Answer:
the answer to you question is c
Step-by-step explanation:
Consider a competitive industry with a large number of firms, all of which have identical cost functions c(y) = 2y² +8 for y> 0 and c(0) = 0. Marginal cost is MC(y) = 4y. Suppose that initially the demand curve for this industry is given by D(p) = 20 - p (The output of a firm does not have to be an integer number, but the number of firms does have to be an integer) (a) What is the supply curve of an individual firm? If there are n firms in the industry, what will be the industry supply curve? (b) What is the smallest price at which the product can be sold? (c) What will be the equilibrium number of firms in the industry? equilibrium price? What will be the equilibrium output of each firm? equilibrium output of the industry? (d) Now suppose that the demand curve shifts to D(p) = 21 p. What will be the equilibrium number of firms? (Hint: Can a new firm enter the market and make nonnegative profits?) (e) With the new demand curve D(p) 21 p, what will be the equilibrium price? What will be the equilibrium output of each firm? What will be the equilibrium output of the industry? (f) Now suppose that the demand curve shifts to D(p) = 24 - p. What will be the equi- librium number of firms? What will be the equilibrium price? What will be the equilibrium output of each firm? What will be the equilibrium profits of each firm? = What will be the What will be the
Answers
The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the industry's output is Y = 3, and the profit of each firm = -2.
a) Supply curve of an individual firm
The price received by the individual firm will be P. Its demand curve is given by
D(p) = 20 - p.
Each firm chooses output to maximize its profit. Profit maximization occurs when the price is equal to the marginal cost. Mathematically,
P = MC(y)
4y = P
y = P/4
Thus the supply curve of the firm is y = P/4
b) The smallest price at which the product can be sold. The product can be sold at the minimum of the supply curve, which is y = 0, given P ≥ 0. Therefore the smallest price is P = 0.
c) Equilibrium price and output
Equilibrium occurs when each firm is producing at its profit-maximizing output given the output of other firms. Let the number of firms in the industry be n. The output of the industry is Y = ny. The industry supply curve is given by
S(P) = nP/4
The equilibrium price intersects the industry supply curve with the demand curve. Thus the equilibrium price satisfies
S(P) = Y
nP/4 = 20 - P
=> P = 80/(4 + n).
The equilibrium number of firms is the number that makes the industry supply curve equal to the demand curve. Thus
20 - P = nP/4
=> P = 80/(4 + n)
=> n = (80 - 20P)/P
= 20/P - 4.
Thus the equilibrium number of firms is a function of P and can range between 1 and infinity, but it must be an integer. The equilibrium output of each firm is given by
y = P/4 = 20/(4n + n²)
The equilibrium output of the industry is given by
Y = n
y = 5/P = (n² + 4n)/80.
d) Equilibrium number of firms with new demand curve D(p) = 21 - p.
The intersection of this curve with the marginal cost curve is at p = 21/5. This is greater than the minimum possible price of 0. Thus there is a positive profit to be earned in this industry, and new firms can enter the market.
e) Equilibrium price and output with new demand curve with the new demand curve D(p) = 21 - p, the industry supply curve and the equilibrium price are as given in part (d). The equilibrium output of each firm is given by y = P/4 = 21/20, and the equilibrium output of the industry is given by Y = 21/4.
f) Equilibrium number of firms, price, output, and profit with demand curve D(p) = 24 - p. This demand curve intersects the marginal cost curve at p = 6. The minimum possible price is P = 0. Thus there is a range of prices from 0 to 6 where firms can profit positively.
The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the output of the industry is Y = 3, and the profit of each firm is (6)(3/2) - (2)(2(3/2)² + 8) = -2.
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Consider a random sample of 100 females and 100 males. Suppose
12 of the females are left-handed and 10 of the males are
left-handed. What is the point estimate for the difference between
population p
Answers
The point estimate for the difference between the population proportions of left-handed individuals in females and males is 0.02.
To estimate the difference between the population proportions of left-handed individuals in females and males, we can use the point estimate formula:
Point Estimate = p1 - p2
where:
p1 = proportion of left-handed females
p2 = proportion of left-handed males
Given that there are 12 left-handed females out of a sample of 100 females, we can estimate p1 as 12/100 = 0.12.
Similarly, there are 10 left-handed males out of a sample of 100 males, so we can estimate p2 as 10/100 = 0.1.
Now we can calculate the point estimate:
Point Estimate = p1 - p2 = 0.12 - 0.1 = 0.02
Therefore, the point estimate for the difference between the population proportions of left-handed individuals in females and males is 0.02.
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Please Help I WILL MARK YOU BRAINLIEST.SHOW YOUR WORK PLEASE
Answers
Answer:
3⅞ is the answer to the question.
Step-by-step explanation:
The ten lightest tomatoes are in ¼, ⅜, ½, ⅝ and ⅞.
In ¼, there are 3 tomatoes, so that would be “¼×3=¾”.
In ⅜, there are 2 tomatoes, so that would be “⅜×2=¾”.
In ½, there are 3 tomatoes, so it would be “½×3=3/2”.
In ⅝, there is 1 tomato, so it would be “⅝×1=⅝”.
In ⅞, there is 1 tomato, so that would be “⅞×1=⅞”.
Now add all together:
¾ + ¾ + 3/2 + ⅝ + ⅞
= 5+5+7+6+8/8
= 31/8
= 3⅞
DB bisects AC at point E.
AE = 4x + 2 and AC = 40. Find x.
1) Write the equation that you will set up to solve for x. (2 points)
2) Solve for x. Show all your work
Answers
The equation setup up to solve for x is 2( 4x + 2 ) = 40 and the numerical value of x is 4.5.
What is the numerical value of x?A bisector divides segments or angles into two equal halves.
Given the data in the question;
AC is bisected at point EAE = 4x + 2AC = 40Numerical value of x = ?Since AC is bisected at point E and we know that a bisector divides segments or angles into two equal halves.
AC = 2 × AE
Hence
40 = 2( 4x + 2 )
Rewrite the equation such that x will be at the left side.
2( 4x + 2 ) = 40
To solve for x, remove the parenthesis using distributive property.
2( 4x + 2 ) = 40
2×4x + 2×2 = 40
Rewrite the equation such that x will be at the left side.
8x + 4 = 40
Subtract 4 from both sides.
8x + 4 - 4 = 40 - 4
8x = 36
Divide both sides by 8
8x/8 = 36/8
x = 36/8
x = 4.5
Therefore, the equation setup up to solve for x is 2( 4x + 2 ) = 40 and the numerical value of x is 4.5.
Learn more about bisectors here: https://brainly.com/question/17445304
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