A sample of 27 employees for the Department of Health and Human Services has the following salaries, in thousands of dollars. Assuming normality, use Excel to find the 98% confidence interval for the true mean salary, in thousands of dollars. Round your answers to two decimal places and use increasing order
Answers
The 98% confidence interval for the true mean salary of employees in the Department of Health and Human Services is (34.85, 42.27) thousands of dollars
To find the 98% confidence interval for the true mean salary of employees in the Department of Health and Human Services, we can use the following formula:
CI = x ± t*(s/√n)
where:
x is the sample mean
t is the critical t-value from the t-distribution with n-1 degrees of freedom and a confidence level of 98%
s is the sample standard deviation
n is the sample size
First, we need to calculate the sample mean and sample standard deviation:
Sample mean:
x= (28.5 + 32.1 + ... + 44.8) / 27 = 38.56
Sample standard deviation:
s = sqrt[((28.5-38.56)^2 + (32.1-38.56)^2 + ... + (44.8-38.56)^2) / (27-1)] = 6.05
Next, we need to find the critical t-value using a t-distribution table or Excel function.
Since we have a sample size of n = 27 and a confidence level of 98%, the degrees of freedom is n-1 = 26. Using Excel function "=TINV(0.01, 26)", we get a t-value of 2.485.
Substituting the values into the formula, we get:
CI = 38.56 ± 2.485*(6.05/√27) = (34.85, 42.27)
Therefore, the 98% confidence interval for the true mean salary of employees in the Department of Health and Human Services is (34.85, 42.27) thousands of dollars.
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Related Questions
HELP PLEASE ILL MARK YOU BRAINLIST…explain how to do the thing and the meaning of the symbol
Answers
Answer: (-5,8)
Step-by-step explanation:
X: 1 + (-6) = -5
Y: 2+6 = 8
1) Given the function f(x)=x-lnx-x? Find a) f'(x)=? b) f'(e)=?
Answers
(a) Using the power rule and the product rule, we can find that:
f'(x) = -1/x
(b) To find f'(e), we substitute e for x in the derivative we found in part a:
f'(e) = -1/e
The derivative of the given function f(x) = x - ln(x) - x, and then evaluate it at x = e.
a) To find f'(x), we'll take the derivative of each term in the function with respect to x:
f(x) = x - ln(x) - x
The derivative of x with respect to x is 1, and the derivative of -x is -1. To find the derivative of -ln(x), we use the chain rule. The derivative of ln(x) with respect to x is 1/x, so the derivative of -ln(x) is -1/x.
Combining these derivatives, we get:
f'(x) = 1 - 1/x - 1
b) Now, we'll find the value of f'(x) when x = e:
f'(e) = 1 - 1/e - 1
Simplifying the expression, we get:
f'(e) = 1 - (1 + e)/e
So, the answers are:
a) f'(x) = 1 - 1/x - 1
b) f'(e) = 1 - (1 + e)/e
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What is the slope of the line l ? (-2,9) (6,1)
Answers
explanation: -2-9/6-1 =-11/5
On a road trip, you stop to get gas when there is 1 4of a tank of gas left. You get the tank filled and this takes 12 gallons of gas. How much gas does the car's tank hold?
Answers
Answer: 16 gallons
Step-by-step explanation:
Since we are given the information that 1/4 of the gas is left, it simply means that (1 - 1/4) = 3/4 has been used.
The tank was filled and this was 12 gallons of gas.
Let the gas that the tank hold be represented by x. Therefore,
3/4 of x = 12
3/4 × x = 12
0.75x = 12
x = 12/0.75
x = 16
The tank holds 16 gallons of gas.
pollster wishes to estimate the true proportion of u.s. voters who oppose capitalpunishment. how many voters should be surveyed in order to be 95% confident thatthe true proportion is estimated to within 2%?
Answers
The pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.
In order to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters.
To calculate the sample size needed for this estimation, we can use the formula:
n = (Z² * p * q) / E²
where n is the sample size, Z is the z-score corresponding to the confidence level (in this case, 1.96 for 95% confidence), p is the estimated proportion of voters who oppose capital punishment, q is the estimated proportion of voters who support capital punishment (which is 1-p), and E is the desired margin of error (in this case, 0.02).
Assuming a conservative estimate of p = q = 0.5, we can plug in the values and solve for n:
n = (1.96² * 0.5 * 0.5) / 0.02² ≈ 2,401
Therefore, the pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.
In conclusion, to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters. This sample size calculation is based on the formula for calculating sample size using the z-score, estimated proportions, and desired margin of error
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1. What do you understand by "Cross-Cultural understanding?" Explain using two real-life examples. [4+6]
2. Explain me Canadian Culture. How is it different than your culture? How will it be helpful in your business success? Provide your opinion in 400 words. [50] 3. Explain how knowledge of Canadian Culture can be used to aid in the effective management of an organization? Explain in 200 words. [40]
Answers
Answer: Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:
Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.
Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.
Canadian Culture:
Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.
Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.
Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.
Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.
Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.
In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.
Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:
a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.
b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.
c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.
d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies
Step-by-step explanation:
evaluate 5(ax4)+b,
when a=1/3 and b=12
Answers
you just need to put the values of a and b where they have to be
.
hope I helped!
I don't know how to solve this. Please help me.
Answers
"three times a number, increased by
seventeen"?
Answers
a service center receives an average of 0.5 customer complaints per hour. management's goal is to receive fewer than three complaints each hour. assume the number of complaints follows the poisson distribution. determine the probability that at most three complaints will be received during the next four hours.
Answers
the probability that at most 3 complaints will be received during the next 4 hours is 0.2381 or approximately 23.81%.
Let X be the number of complaints received in 4 hours. Then X follows a Poisson distribution with mean λ = 0.5 complaints/hour × 4 hours = 2 complaints.
To find the probability that at most 3 complaints will be received during the next 4 hours, we can use the Poisson probability formula:
P(X ≤ 3) = e^(-λ) * [λ^0/0! + λ^1/1! + λ^2/2! + λ^3/3!]
P(X ≤ 3) = e^(-2) * [1/1 + 2e^(-2)/1! + 4e^(-2)/2! + 8e^(-2)/3!]
P(X ≤ 3) = 0.2381
what is number?
A number is a mathematical object used to quantify and measure things. It can be used to represent quantities such as size, amount, distance, time, and many other things. Numbers can be integers, fractions, decimals, or irrational numbers, and they can be positive, negative, or zero. In mathematics, numbers are used to perform calculations and solve problems in various fields such as science, engineering, economics, and more.
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The test statistic of z=-2.84 is obtained when testing the claim that p=1/2. using a significance level of 0.10, find the critical values. should we reject h0 or should we fail to reject h0?
Answers
You should reject H0, as the test statistic is in the rejection region.
For a hypothesis test with a significance level of 0.10, you need to find the critical values of the z-distribution to determine whether to reject or fail to reject H0.
Since it's a two-tailed test, you'll look for critical values on both sides.
The critical z-values for a 0.10 significance level are z=-1.645 and z=1.645. The test statistic z=-2.84 falls outside this range, specifically to the left of the lower critical value.
In hypothesis testing, we calculate a test statistic that measures how far our sample estimate is from the null hypothesis. We then compare this test statistic to the critical values of the distribution to determine whether to reject or fail to reject the null hypothesis.
For a significance level of 0.10, we divide the alpha level equally between the two tails of the distribution, giving a critical value of z=1.645 for the right-tail and z=-1.645 for the left-tail, as it is a two-tailed test.
Therefore, you should reject H0, as the test statistic is in the rejection region.
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Ayudaaaa porfavorrr se los suplico me
Answers
please help me asap i don’t know how to do this
Answers
Answer:
Step-by-step explanation:
the answer is 5]
C] (30 out to the movie. C] Where did the cat go? C] There is a chipmunk in the backyard. C] 15 - 22 = 100 C] It is raining now. Question 2 (3 points) QlB. Select the statement that is not a proposition. 15 - 22 = 100 If i}. (30 out to the movie. If t) It is raining now. If i) There is a chipmunk in the backyard.
Indicate whether the statement is true or false, assuming p is True and q is False. p A q O True False Question 4 (3 points) Q2A. Indicate whether the statement is true or false. 5 is an odd number and 6 is a prime number. True O False. Indicate whether the statement is true or false. Use the inclusive OR. 8 is an odd number or 7 is a prime number. True False Question 6 (3 points) Q3C. Indicate whether the statement is true or false. Use the inclusive OR. 5 is a whole number or 3 is a positive number. True False
Answers
This statement is true because both 5 is a whole number and 3 is a positive number, satisfying at least one of the conditions.
Let's go through each statement and answer the questions:
Statement 1: (30 out to the movie).
This is not a proposition because it is not a complete statement. It lacks a clear subject or predicate.
Statement 2: Where did the cat go?
This is not a proposition because it is a question and not a declarative statement.
Statement 3: There is a chipmunk in the backyard.
This is a proposition because it is a complete statement making a claim about the presence of a chipmunk in the backyard.
Statement 4: 15 - 22 = 100.
This is a proposition, but it is a false statement since 15 - 22 is not equal to 100.
Question 2: Assuming p is True and q is False.
We need a specific statement or proposition to evaluate its truth value using the given truth values of p and q.
Question 4: 5 is an odd number and 6 is a prime number.
This statement is false because 6 is not a prime number. It is divisible by 2 and 3, making it composite.
Question 5: 8 is an odd number or 7 is a prime number.
This statement is true because 8 is an odd number, satisfying the first condition.
Question 6: 5 is a whole number or 3 is a positive number.
This statement is true because both 5 is a whole number and 3 is a positive number, satisfying at least one of the conditions.
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Britney bought 3 gallons of juice for $2. 75 per gallon. She sold the juice 1-cup servings for $0. 80 each. Each serving is 1/16 gallon. How much more did She get for selling the juice than she paid to buy it?
Answers
Therefore, Britney got $30.15 more for selling the juice than she paid to buy it.
To determine how much more Britney got for selling the juice than she paid to buy it, we need to calculate the total cost and total revenue.
Britney bought 3 gallons of juice for $2.75 per gallon, so the total cost of the juice is 3 * $2.75 = $8.25.
Each serving of juice is 1/16 gallon, and she sold each serving for $0.80. Since 1 gallon is equal to 16 servings, the revenue from selling 3 gallons of juice would be 3 * 16 * $0.80 = $38.40.
To find the difference between the revenue and cost, we subtract the total cost from the total revenue: $38.40 - $8.25 = $30.15.
Therefore, Britney got $30.15 more for selling the juice than she paid to buy it.
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A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
Answers
This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.
Correct Question
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
A. The slant height of the pyramid = 2.24 yards.
B. The surface area of the composite figure = 12.94 square yards.
C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.
Step-by-step explanation:
A. What is the slant height of the pyramid?
To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:
a² + b² = c²
Where a = Height of the square pyramid represent by h
b = radius of the square pyramid represented by r
c = Slant height of the square pyramid represented by s
Therefore, we have
h² + r² = s²
Looking at the attached diagram, we are given the side length = 2 yards.
The radius of the square based pyramid = side length ÷ 2
= 2÷ 2 = 1 yard.
The height of a square based pyramid = 2 yards
Since , h² + r² = s²
The slant height of the square pyramid is calculated as :
√h² + r² = s
√(2² + 1²) = s
√5 = s
s = 2.24 yards
B. What is the surface area of the composite figure?
We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
Step 1
We find the Lateral area of the faces of the insides of the inverted pyramid
We have 4 faces, Hence,
The formula is given as
a × √( a² + 4h²
a = 2 yards
h = 2 yards
So, = 2 × √( 2² + 4 ×2²
The Lateral area of the faces = 8.94 square yards.
Step 2
Area of the 5 faces of the cube
= a²
Where a = side length = 2 yards
= 2²
= 4 square yards.
Step 3
Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards
= 12.94 square yards.
C. How many cubic yards of concrete are needed to make the planter?
This is calculated by find the Volume of the Square based pyramid.
The formula is given as :
V = (1/3)a²h
Where a = side length = 2 yards
h = height of the square based pyramid = 2 yards
V = 1/3 × 2² × 2
V = 2.67 cubic yards
ANYONE HELP? ALGEBRA 1 :”””(
Answers
Answer:
Y=-3/2x+2
Step-by-step explanation:
Answer:
y=-1.5x+2
Step-by-step explanation:
Simone arrived at her cabin after a big snow storm and realized that she would need to shovel some snow before she could go inside. The amount of snow, SSS, in cubic feet, that is left to shovel after shoveling for hhh hours is given by the equation above. What does the 555 mean in the equation
Answers
In the given equation, the number 555 represents a constant value that is used in the formula to calculate the amount of snow left to shovel after a certain number of hours.
The equation provided does not accompany the specific equation mentioned in the question. However, assuming the equation is of the form S = 555 - h, where S represents the amount of snow left to shovel and h represents the number of hours of shoveling, we can infer the meaning of the number 555.
In this equation, the constant value 555 represents the initial amount of snow that Simone had to shovel before she started removing it. It indicates the total amount of snow present at the beginning, which is the value from which the snow removed in h hours is subtracted to determine the remaining amount.
Therefore, the number 555 serves as a reference or baseline for the equation, providing information about the initial amount of snow and allowing for the calculation of the remaining snow after a specific number of hours of shoveling.
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11 point
The area of a triangle is 576 square meters. The height of the triangle is twice the size of It's base. What is the height of the
triangle?
Formula for area of a triangle: A = }bh
Answers
Answer: 48m
b×h/2=576
b×h=1152
Then find factors of 1152 that fit. 24×48=1152
Answer:
answer 3 yards c
Step-by-step explanation:
If α and β are zeroes of a polynomial x² + 6x + 9, then form a polynomial whose zeroes are -α and -β
Answers
Answer:
x² - 6x + 9
General Formulas and Concepts:
Algebra I
FactoringExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
x² + 6x + 9
Step 2: Find Roots α and β
Factor quadratic: (x + 3)²Find roots: α = -3, β = -3Step 3: Solve
Apply negatives: -α = -(-3), -β = -(-3)Multiply: -α = 3, -β = 3Write binomial factor: (x - 3)²Expand [FOIL]: x² - 6x + 9Can I get some help we just started this today
Answers
Answer:
-2
Step-by-step explanation:
The slope of a line tells us how y responds to a change in x. If the slope is 2, it means that for every time x increases by 1, will will go up by 2.
We can calculate slope from a line, or with two given points. I used points (0,4) and (3,-2). Slope is the "Rise/Run."
The Rise: (-2 - 4) = -6
The Run: (3 - 0) = 3
Slope = Rise/Run = (-6/3) = -2
A family is taking a trip to a maill 45 miles away. They have seven gallons of gas in their car's fuel tank and the car gets 22 miles per gallion on this trip. Explain why it is okay to estimate the fuel supply for the trip.
Answers
Trip of 45miles with seven gallons of gas in a car and car gets 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.
As given in the question,
Total distance covered in family trip is 45 miles
Total fuel in car is seven gallons
Average of the on trip=22 miles per gallon
Estimate fuel supply for trip =(45 miles )/(22 miles per gallon)
=2.04545gallons
≈2gallons(approximately)
As the fuel used in the trip is 2.04545.. gallons which is nearest to the 2 gallons, it is okay to estimate the fuel supply.
Therefore, trip of 45 miles with 7gallons of gas in a car with average 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.
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From the mbsa scan performed in task 3, how many users have non-expiring passwords?
Answers
Based on the explanation using the combination method, the correct answer to the question is D. All four users have non-expiring passwords.
The MBSA scan likely provided a list of users along with their corresponding password expiration settings. The term "non-expiring passwords" refers to passwords that do not have an expiration date, meaning they remain valid indefinitely.
Now, let's analyze each option given in the question and determine the correct answer using the combination method:
A. 3 of 4:
If three out of the four users have non-expiring passwords, it means that only one user has an expiring password. However, this does not match our definition of non-expiring passwords. Therefore, Option A is incorrect.
B. 1 of 4:
If only one user out of the four has a non-expiring password, it means that the other three users have expiring passwords. This option does not satisfy the condition of non-expiring passwords for the majority of users. Hence, Option B is also incorrect.
C. 2 of 4:
If two users out of the four have non-expiring passwords, it means that the remaining two users have expiring passwords. This option suggests that half of the users have non-expiring passwords, which does not correspond to our definition of non-expiring passwords for the majority of users. Thus, Option C is incorrect.
D. 4 of 4:
If all four users have non-expiring passwords, it means that every user's password is set to never expire. This option aligns with our definition of non-expiring passwords for the majority of users. Therefore, Option D is the correct answer.
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Complete Question:
From the MBSA scan performed in Task 3, how many users have non-expiring passwords?
A. 3 of 4
B. 1 of 4
C. 2 of 4
D. 4 of 4
solving 2 step equations k/9 -1=10
Answers
Answer:
99
Step-by-step explanation:
k/9=10+1
k/9*9=11*9(cancel division 9 to multiplication 9)
k=99
Solve the system of equations below.
Answers
Answer:
B
Step-by-step explanation:
So we have the system of equations:
\(x-2y=3\\2x-3y=9\)
To solve, we can use the substitution method. First, add 2y to both sides in the first equation:
\(x=3+2y\)
Now, substitute this into the secon equation:
\(2(3+2y)-3y=9\)
Distribute the 2:
\(6+4y-3y=9\)
Combine like terms:
\(6+y=9\)
Subtract 6 from both sides:
\(y=3\)
So, the value of y is 3.
Substitute this back into the original equation to find x. Thus:
\(x=3+2(3)\)
Multiply:
\(x=3+6\)
Add:
\(x=9\)
So, our answer is (9,3)
And we're done!
in a simple linear regression model, which of the coefficients in the estimated sample regression equation indicates the change in the predicted value of y when x increases by one unit?
Answers
In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.
In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.
The linear regression equation is given as:
y = b0 + b1 * x
Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable
In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.
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What is the solution to the inequality 1/4+x<5/6
Answers
Answer:
x < 7/12
Step-by-step explanation:
1/4+x<5/6
Multiply each side by 12 to get rid of the fractions
12*1/4+12x<5/6*12
3 + 12x < 10
Subtract 3 from each side
3+12x-3 < 10-3
12x < 7
Divide by 12
12x/12 < 7/12
x < 7/12
Answer:
A
Step-by-step explanation:
Suppose that PR=47. Solve for x and find the lengths of PQ, and QR.
Please show all work and not just the answers.
Answers
Answer:
x = 10
PQ = 27
QR = 20
Step-by-step explanation:
You can add up PQ and QR and set it equal to PR. Solve for x.
(2x + 7) + (2x) = 47
2x + 7 + 2x = 47
4x + 7 = 47
(4x + 7) - 7 = 47 - 7
4x = 40
4x/4 = 40/4
x = 10
Now, use the solved x-value to find PQ and QR.
PQ = 2x + 7
PQ = 2(10) + 7
PQ = 20 + 7
PQ = 27
QR = 2x
QR = 2(10)
QR = 20
Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
Answers
The number line which represents the solution bro the inequality y -2 < -5 is;
An open circle is at negative 3. Everything to the left of the circle is shaded.
First, we must solve the inequality so that it looks it's simplest form in order to be represented on a number line.
Solving the inequality is as follows;
y - 2 < -5
y < -5 +2
y < -3.
In essence, representation of the inequality, y < -3 on the number line is as follows;
An open circle is at negative 3. Everything to the left of the circle is shaded.
PS: It is only a closed circle if the inequality includes an equal to sign.
Which table shows a proportional relationship between X and Y?
Answers
Answer: 4th option (the one already selected)
Step-by-step explanation: as the X variable changes by 7 the Y variable changes by 1