The person earns $15 for every hour worked at the grocery store. I found this by dividing $60 by 4 since the person makes 60 dollars from a four-hour shift. For y, we can use 60, divide it by 15, and have 4 hours worked. Which is (60,4). We can also use 15 since the person working at the grocery store makes $15 every hour, that would be (15,1). So there are two possible equations that can be used, (60,4), or (15,1).
Choose the equation that satisfies the data in the table.
-1 0 1
0
3
6
X
Y
OA. y = 3x +3
B.y = -x +9
Oc.y=x+9
OD. y=-3x +3
Answer: A: y= 3x + 3
Step-by-step explanation:
The y intercept has to be 3 which is found when x = 0 that eliminates B and C. Then just plug in -1 or 1 into A or D and you will find that plugging in either with get you the y value provided on A.
What is the symbol used to represent the population mean?
The population mean, or average score for the population on a certain variable, is symbolised as follows:μ = ( Σ Xi ) / N.
What is mean?The mean of a data set is the sum of all values divided by the total number of values, often called the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean", it is the most commonly used measure of central tendency. This result is obtained by dividing the total number of values in the data set by the sum of all those values. Both raw data and data combined into frequency tables can be used in calculations. Mean refers to the average of a number. The calculation is simple: divide by the number of numbers when you added all the numbers. the total divided by the number.
The population mean or population mean score for a given variable is symbolized as follows:μ = ( Σ Xi ) / N. The symbol 'μ' represents the population mean.
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The best method to assess if sample data fit a normal distribution, assuming a minimum sample size of 125 is available, is:
The best method to assess if sample data fit a normal distribution, assuming a minimum sample size of 125 is available, is the Shapiro-Wilk test.
The Shapiro-Wilk test is a statistical test that evaluates the deviation of the data from a normal distribution. It is commonly used for assessing normality when the sample size is larger than 50. The test provides a p-value, which indicates the likelihood of the data being drawn from a normal distribution. If the p-value is greater than the chosen significance level (e.g., 0.05), it suggests that the data follows a normal distribution.
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| - 4 | < | -6 | true or false
| - 1 | > | 7 | true or false
| -8 | < - 2 true or false
Answer:
false
false
true
Step-by-step explanation:
if it has brackets just take them away and the negative symbol
Answer:
1) | - 4 | < | -6 | is true
2) | - 1 | > | 7 | is false
3) | -8 | < - 2 is false
Step-by-step explanation:
We need to find if the statements are true or false.
1) | - 4 | < | -6 | true or false
We know that:
|-4| = 4
|-6| = 6
Now, 4 < 6 is true
So, | - 4 | < | -6 | is True
2) | - 1 | > | 7 | true or false
We know that:
|-1| = 1
Now, 1 > 7 is false, because 1 is less than 7 and not gr eater than 7.
So, | - 1 | > | 7 | is false
3) | -8 | < - 2 true or false
We know that
|-8|= 8
Now, 8 < 2 is false, because 8 is not less than 2, it is greater than 2.
So, | -8 | < - 2 is false
I'll give brianly if you answer this: 3x + 4 - 7x - 6
Answer:
3x + 4 -7x - 6
3x -7x -6 +4
-4x - 2 = -2 (2x +1 )
Answer:
nvm my answer was wrong ignore this lol
Help please I’ll mark brainliest
Answer:
Cross multiply:
7x4=8x2
Simplify:7*4=2*8
Multiply 7*4:
28=8*2
Multiply:8*2
28=16
Solving 28=16
4:4
Step-by-step explanation:
50 POINTS PLEASE HELP
IN YOUR OWN WORDS PLEASE:)
The purpose of filling out a W-4 is to make it easier for individuals to meet their tax liability by
paying income taxes as they earn income. Paying anticipated taxes from each paycheck
reduces the amount an individual owes when filing taxes and can even result in a tax refund.
To guarantee or increase the refund, individuals sometimes claim fewer allowances (to have
more income tax withheld) or request a specific additional amount to be withheld from each
paycheck.
Daniel's employer will automatically deduct taxes from Daniel's pay using the information on
the W-4 form that Daniel completed on his first day. From his W-4 form, Daniel's employer
determined that $75 needs to be withheld from each of Daniel's weekly paychecks, totaling
$3,900 for the year.
Compare Daniel's tax liability from part B, question 3, with the total amount withheld from his
check: $3,900 for the year. If Daniel wants a refund when he files his taxes, should he have
filled out his W-4 differently? Explain your reasoning.
Answer:
To determine if Daniel should have filled out his W-4 form differently to receive a refund, we need to compare his tax liability with the total amount withheld from his paychecks for the year.
If Daniel's tax liability for the year is less than $3,900, he will receive a refund when he files his taxes. If his tax liability is more than $3,900, he will owe additional taxes when he files his taxes.
If Daniel's tax liability is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes.
Therefore, to determine if Daniel should have filled out his W-4 form differently, we need to compare his tax liability with $3,900.
If Daniel's tax liability from part B, question 3, is less than $3,900, he will receive a refund when he files his taxes, as the total amount withheld from his paychecks is more than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to reduce the amount withheld from his paychecks and increase his take-home pay.
On the other hand, if Daniel's tax liability from part B, question 3, is more than $3,900, he will owe additional taxes when he files his taxes, as the total amount withheld from his paychecks is less than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to increase the amount withheld from his paychecks and reduce the amount he will owe when he files his taxes.
If Daniel's tax liability from part B, question 3, is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes, and his W-4 form is correctly filled out for his tax situation.
In summary, whether or not Daniel should have filled out his W-4 form differently to receive a refund depends on his tax liability compared to the total amount withheld from his paychecks. If his tax liability is less than the total amount withheld, he may want to reduce the amount withheld to increase his take-home pay. If his tax liability is more than the total amount withheld, he may want to increase the amount withheld to reduce the amount he will owe when he files his taxes. If his tax liability is exactly equal to the total amount withheld, his W-4 form is correctly filled out for his tax situation.
Solve the system of linear equations. 3x−2y=1 9x−6y=3
Below are sketches of histograms for three lists. (a) In scrambled order, the averages are 40, 50, 60. Match the histograms with the averages. (b) Match the histogram with the description:the median is less than the average the median is about equal to the average the median is bigger than the average (c) Is the SD of histogram (iii) around 5, 15, or 50? (d) True or false, and explain: the SD for histogram (i) is a lot smaller than that for histogram (iii).
(a) (i) 60 , (ii) 50 , (iii) 403
(b) Histogram is: (i) left-skewed , (ii) symmetric and (iii) right-skewed
(c) The SD is about 15
(d) False, their SD share about the same
(a) from the data , we can conclude that,
(i)60
(ii)50
(iii)403pts
(b)
(i) is left-skewed (long left tail)– median is greater than the average–Histogram
(ii) is symmetric – median is about equal to the average–Histogram
(iii) is right-skewed (long right tail) – median is smaller than the average3pts
(c)
The SD is about 15. Since almost all of the area is within 50 units from the average, by the 68-95% rule, 50 is too big. Very little of the data is within 5 of the average, so 5 is too small. It must be about 15.3pts
(d)
False. Histograms (i) and (iii) look almost like mirror images of each other, so their SD share about the same.
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College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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bro pls I need this quick
Answer: I think 47.5in^2
Step-by-step explanation:
Rewrite in standard form
-2x+6y=-18
Answer:
2x-6y=18
Step-by-step explanation:
Sorry if im wrong
please help asap will give brainliest thank you
Answer:
Thus, angle 2 = angle 4 = 76
Step-by-step explanation:
Step-by-step explanation:
Here, we want to get the measures of angle 2 and angle 4
From what we have in the diagram, angle 2 and angle 5 are supplementary (meaning they add up to 180)
The reason for this is because both angles are same side interior angles
Thus,
angle 2 + angle 5 = 180
angle 2 = 180 - angle 5
angle 2 = 180 -104
angle 2 = 76
Furthermore, we can see that angle 2 equals angle 4 as they are vertically opposite angles
Thus, angle 2 = angle 4 = 76
Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
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A 26-year-old male is interested in purchasing life insurance. Using the table, determine what the annual premium fom
a 20-Payment Life insurance policy, given that the face value of the policy is $89,657. If need be, round your answer
the nearest cent.
Age
25
26
27
28
Permanent Insurance
a. $2,546.26
b. $2,609.92
20-Payment
Life
20-Year
Endowment
Whole Life
Male Female Male Female Male Female
$16.38 $14.38 $28.40 $25.04 $37.02 $34.87
16.91 14.77 29.11 25.96 37.67 35.30
29.97
26.83 38.23
35.96
17.27 15.23
17.76 15.66 30.68 27.54
38.96
36.44
C. $2,687.02
d. $2,750.68
The annual premium for the 20-Payment Life insurance policy for the 26-year-old male with a face value of $89,657 is $2,609.92.
Based on the table provided, the annual premium for a 20-Payment Life insurance policy for a 26-year-old male with a face value of $89,657 can be determined. According to the table, the premium for a 20-Payment Life policy for a 26-year-old male is $2,609.92.
Hence, the annual premium for the 20-Payment Life insurance policy is $2,609.92.
It is important to note that the information provided in the table is specific to the age and gender of the individual and the type of insurance policy. Insurance premiums are calculated based on various factors such as age, gender, health, coverage amount, and policy type. These factors can vary among insurance companies, so it is crucial to consult with an insurance agent or provider to obtain accurate and personalized premium information based on your specific circumstances.
Remember to carefully review the terms and conditions of the insurance policy and ensure it aligns with your individual needs and financial situation before making a purchase decision.
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The annual premium for a 20-Payment Life insurance policy with a policy face value of $89,657 is b. $2,609.92
How the premium is determined:The annual premium is the product of the multiplication of the face value of the insurance policy and the given premium rate, according to the 20-year Payment table.
The premium rate is $29.11 per $1,000
The face value of the insurance policy = $89,657
The annual premium = $2,609.92 ($89,657 x $29.11÷$1,000)
Thus, this 26-year-old male, who is interested in purchasing a 20-Payment Life insurance policy will pay an annual premium of $2,609.92.
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are linear pair always ajacent
Answer:
A Linear Pair is two adjacent angles whose non-common sides form opposite rays. If two angles form a linear pair, the angles are supplementary. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.
Step-by-step explanation:
Answer:
No they are not
Step-by-step explanation:
A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.
A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?
Answer:
The probability that the individual has the disease is 1/500
Step-by-step explanation:
i found the fraction of 1 in 500 which is 1/500, hope this helps :)
Which point is a solution to the linear inequality y < negative one-halfx 2? (2, 3) (2, 1) (3, –2) (–1, 3)
The solution to the linear inequality is (2, 1).
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. These figures are referred to as the equation or inequality's solutions. A set of such values is called a solution set to the considered equation or inequality.
we have given that the linear inequality y < Negative one-half + 2
y < - 1x/2 + 2
The solution of the inequality is the shaded area below the dashed line;
y = - 1x/2 + 2
The slope of the dashed line is negative 1/2.
The y-intercept of the dashed line is the point (0,2) and the x-intercept of the dashed line is the point (4,0).
Noted that Any point that lies on the shaded area is a solution to the inequality and if a point is a solution to the linear inequality, then the point must satisfy the inequality.
The complete question is : Which point is a solution to the linear inequality y < Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)
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Answer:(3,-2)
Step-by-step explanation: edge 2022
I need help immediately with middle school
Answer:
5*7=35 square units
Step-by-step explanation:
area of parrelogram =B×h
plzz mark me brainliest
Use decomposition to find the area of the figure. A drawing of a right-angled trapezoid with length of two parallel sides measuring 10 yards and 13 yards. The height of the trapezoid is 8 yards. The area is
square yards. Skip to navigation
In the given problem, we need to find the area of the trapezoid in which the height is 8 yards. The area of the given trapezoid is 92 square yards.
If the length of a trapezoid's parallel sides and the distance (height) between them are known, the area of the shape may be determined.
A = (a+b)h/2 is the formula for a trapezoid's surface area.
where "a" and "b" are the lengths of the base of the trapezoid and "h" represents the height of the figure.
We have been given the values,
The length of the bases is 10 and 13 yards and,
the height of the trapezoid is 8 yards.
So, according to the formula for determining the area,
Area of a trapezoid,
"A" = {(10 + 13)8} / 2
⇒ A = {184}/2
⇒ A = 92 square yards.
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How do I solve this question?
DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
∠TAC = ∠ABC (The angle between the chord and the tangent is equal to the angle in the alternate segment)
Since, EDCB is a cyclic quadrilateral,
∠CBD + ∠CED = 180 ----- I
- ∠CED + ∠AED = 180 -----II
----------------------------------------------------
∠ CBD = ∠AED
Also, ∠ CBD = ∠ EAT( A is tangent to the circle)
So, ∠ EAT = ∠ AED ( Alternate interior angle)
So, DE || ST
Therefore, DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
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On Tuesday, the Soto Salad restaurant served 6 ½ cups of Italian salad dressing. If the restaurant serves ¼ cup of dressing with each salad, how many salads were ordered with Italian dressing?
The number of salads were ordered with Italian dressing is 26.
Given that, the Soto Salad restaurant served \(6\frac{1}{2}\) cups of Italian salad dressing.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
If the restaurant serves 1/4 cup of dressing with each salad
Then, the number of salads were ordered with Italian dressing
= \(6\frac{1}{2}\div\frac{1}{4}\)
= 13/2 ÷ 1/4
= 13/2 × 4/1
= 13 × 2
= 26
Therefore, the number of salads were ordered with Italian dressing is 26.
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What is the first step in solving the inequality m-2/6< –1
Steps to solve:
m - 2/6 < -1
~Add 2/6 to both sides
m < -4/6
Best of Luck!
Please help me thank u
Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPTION D None
Answer:
option b
Step-by-step explanation:
replace x and y with the x and y of the ordered pair
option a: 2(4)+4(5)=6(4)-5
solve
8+20=24-5
28=19 not true
option b:2(5)+4(4)=6(5)-4
solve
10+16=30-4
26=26 true
Problem: Report Error
All of the members of our spray-painting team paint at the same speed. If $8$ team members can paint a $5000$ square foot wall in $30$ minutes, then how many minutes would it take the $8$ members to paint an $8000$ square foot wall?
Answer:
48
Step-by-step explanation:
The amount of time needed and the amount of wall to paint are directly proportional. So, when we multiply the amount of wall to paint by 8/5 (going from 5000 square feet to 8000 square feet), we multiply the time needed by 8/5. Therefore, we need 30 * 8/5 = 48 minutes to paint the 8000 square foot wall.
We need 48 minutes to paint 8000 square football . The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour.
How to calculate minutes?The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour. Because to leap seconds, a minute occasionally has 61 seconds in the UTC time zone. The minute is acceptable for use with SI units even though it is not a SI unit. Minutes are represented by the SI unit min.Time in minutes is equal to 60 seconds in time. Time is measured in hours and minutes, which are equal to hours multiplied by 60. A minute is used to measure time; one hour is equal to sixty minutes. In a minute, there are sixty seconds.Given,
8 team members paint 5000square football in 30 min
So,
30*8/5
= 48 minutes
Therefore We need 48 minutes to paint 8000 square football.
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Part A A high school athlete ran the 100 meter sprint in 13.245 seconds. Round the time to the nearest tenth.Part B Explain how you arrived at the answer. Include any rules that you followed.
Answer:
t = 13.2 s
Step-by-step explanation:
Given that,
An athlete ran the 100 meter sprint in 13.245 seconds. We need to round off the time to the nearest tenth.
Here, t = 13.245 s
In order to round off to the nearest tenth, thousandths place and hundredth place gets eliminated.
So, t = 13.2 s
So, time is 13.2 seconds.
Answer: 13.2
Step-by-step explanation: hope you made it
Please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Answer:
1 : 80
Step-by-step explanation:
So you want to check Length of model : Length of real boat
50 cm : 40 m
But since the units don't match, make 40 m into 4000 cm
50 cm : 4000 cm
Divide both sides by 50 and you get
1 : 80
a summary description of a given variable in a survey sample is called a: a. statistic. b. parameter. c. confidence interval. d. confidence level. e. variable.
A summary description of a given variable in a survey sample is called a statistic.
What is statistic?
Any quantity calculated from sample values and taken into consideration for statistical purposes is known as a statistic (singular) or sample statistic. A population parameter estimate, a sample description, or a hypothesis evaluation are examples of statistical aims. A statistic is the average (or mean) of sample values. Both the function and the result of the function on a particular sample are referred to as statistics. A statistic may be referred to by a term that indicates its purpose when it is being utilized for that reason only.
Therefore, Option a is correct answer, a summary description of a given variable in a survey sample is called a statistic.
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Directions: For problems 1-9 evaluate and simplify the following expressions. Remember that when writing algebraic expressions, it’s best to order them from the greatest amount of variables and coefficients to the least, and also place the variables in alphabetic order. For example, it’s best to write: 3 + 4x + y as 4x + y + 3. They both have the same value though regardless of the order.
1. 2(x + 6) – 4 + x
2. (x +4) • 9
3. y + 7 + 8 – 7(x -8)
4. (4 – 5) + x(6 – 8)
5. y(4 – 8) – 3y
6. x + 8y – 16x(1- 3)
7. 82 – x(4 – 8) + √25
8. 53 – 4(y – 7y) - √81
9. x2 – 4 – 5y - √36 • √144 + 23(x – 5x)
Evaluating and simplifying the given expressions, we have:
1. 3x + 8
2. 9x + 36
3. -7x + y + 71
4. -2x - 1
5. y - 32
6. -15x + 8y + 48
7. 4x + 87
8. 24y + 44
9. x² - 92x - 5y - 76
How to Evaluate and Simplify Algebraic Expressions?The given algebraic expressions can be evaluated and simplified as explained below.
1. 2(x + 6) – 4 + x
Distribute
2x + 12 – 4 + x
Combine like terms
3x + 8
2. (x +4) • 9
= 9x + 36
3. y + 7 + 8 – 7(x -8)
Distribute
y + 7 + 8 – 7x + 56
Combine like terms
-7x + y + 71
4. (4 – 5) + x(6 – 8)
-1 + x(-2)
-1 - 2x
-2x - 1
5. y(4 – 8) – 3y
4y - 32 - 3y
y - 32
6. x + 8y – 16x(1- 3)
x + 8y – 16x + 48
Combine like terms
-15x + 8y + 48
7. 82 – x(4 – 8) + √25
82 – x(-4) + 5
82 + 4x + 5
4x + 87
8. 53 – 4(y – 7y) - √81
53 – 4(-6y) - 9
53 + 24y - 9
24y + 44
9. x² – 4 – 5y - √36 • √144 + 23(x – 5x)
x² – 4 – 5y - 6 • 12 + 23(x – 5x)
x² – 4 – 5y - 6 • 12 + 23(-4x)
x² – 4 – 5y - 72 - 92x
Combine like terms
x² - 92x - 5y - 76
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