Which is the graph of 2x – 4y > 6?
Answer:
Its the last graph
The graph of 2x – 4y > 6 is in the far-right graphic image.
Further explanationLet us first arrange the equation of the line followed by making a graph of a linear inequality.
Step-1: the x-intercept and the y-intercept
2x - 4y = 6
For y = 0, we get the x-intercept.2x - 4(0) = 6
2x = 6, and then divide by two on both sides.
Hence, the x-intercept is [tex]\boxed{x = 3} \rightarrow \boxed{ \ (3, 0) \ }[/tex]
For x = 0, we get the y-intercept.2(0) - 4y = 6
-4y = 6, and then divide by -4 on both sides.
Hence, the y-intercept is [tex]\boxed{y = -1\frac{1}{2}} \rightarrow \boxed{ \ (0, -1\frac{1}{2}) \ }[/tex]
Step-2: graph the inequality
2x - 4y = 6 is the boundary line and we draw the line dashed since the equality symbol is " > ".Test the point (0, 0), as origin, in 2x - 4y > 6, i.e., [tex]\boxed{2(0) - 4(0) > 6} \rightarrow \boxed{ \ 0 > 6, false \ }[/tex]So we shade the region which does not contain the test point.- - - - - - - - - -Notes:
To graph a linear equality in two variables, follow the steps.
Draw the boundary line using a dashed line if the inequality symbol is " < or > ", or a solid line if the inequality symbol is " ≤ or ≥ ".Choose a test point which is not on the boundary line and substitute it into the equality.Shade the region which includes the test point if the resulting inequality is true, and shades the region which does not contain the test point if the resulting inequality is false.Learn moreFinding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point brainly.com/question/1473992Which of the following is the correct graph of the solution to the inequality −8 greater than or equal to −5x + 2 > −38? https://brainly.com/question/1626676 When the x-axis and y-axis have different units of measure the slope can be interpreted as a rate https://brainly.com/question/4858319Keywords: linear inequality, the equation of the line, shaded region, x-intercept, test the point, the line dashed
martin brought 30 shares of microsoft at the close price of $24.53. In a few years, Martin sells all of his shares at $33.71. How much money did martin make?
Answer:
Money did martin make = 275.4 $
Step-by-step explanation:
Martin brought 30 shares of Microsoft at the close price of $24.53.
Number of shares = 30
Cost per share = 24.53 $
Total cost = 30 x 24.53 = 735.9 $
Martin sells all of his shares at $33.71
Selling price per share = 33.71 $
Total selling price = 30 x 33.71 = 1011.3 $
Gain for Martin = 1011.3 - 735.9 = 275.4 $
Money did martin make = 275.4 $
Megumi earned a salary of $39,312 last year. How much did she earn per month
2 months in a year
39312/12 = 3276 per month
Answer:
She earned $ 3,276 per month.
Step-by-step explanation:
We know that,
1 year = 12 months,
Given,
Megumi earned a salary of $39,312 last year
⇒ His salary of one year = $ 39,312
⇒ Salary of 12 months = $ 39,312
[tex]\implies \text{salary of 1 month} = \frac{39312}{12}=\$ 3276[/tex]
Hence, she earned $ 3,276 per month.
For randomly selected adults, IQ scores are normally distributed with a standard deviation of 15. The scores of 14 randomly selected college students are listed below. Use a 0.10 significance level to test the claim that the standard deviation of IQ scores of college students is less than 15. Round the sample standard deviation to three decimal places. 115 128 107 109 116 124 135 127 115 104 118 126 129 133
To test if the standard deviation of college students' IQ scores is less than 15, we must calculate the sample standard deviation and then perform a chi-square test for variance. Comparing the test statistic to the chi-square distribution at a 0.10 significance level allows us to accept or reject the null hypothesis.
Explanation:To test the claim that the standard deviation of IQ scores of college students is less than 15, we first need to calculate the sample standard deviation. The scores provided are 115, 128, 107, 109, 116, 124, 135, 127, 115, 104, 118, 126, 129, 133. We find the mean of these scores and then use the formula for sample standard deviation.
Step 1: Calculate the mean of the IQ scores.
Step 2: Find the sum of the squared deviations of each score from the mean.
Step 3: Divide by the number of scores minus one (n-1) to get the variance.
Step 4: Take the square root of the variance to find the sample standard deviation.
Once we have the sample standard deviation, we use the chi-square test for variance since we are testing about the population variance. Under the null hypothesis, we assume that the population standard deviation is 15. At a significance level of 0.10, we compare the test statistic to the corresponding chi-square distribution to determine if we can reject the null hypothesis.
The circumference of a circle is 6.28. What is the area of the circle.
Marty has saved $72. He spent $8 on a video rental. Write a ratio as a fraction in simplest form to represent what portion of his savings he has left.
PLEASE HELP !!! HURRY!! Given m || n, find x.
4x+35 + 5x-8 = 180
9x +27 =180
9x =153
x=153/9 = 17
x = 17
A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the pond has a radius of 200 ft and the radius of the whole space is 250 ft?
If a person is randomly selected, find the probability that his or her birthday is in May. ignore leap years
May has 31 days
there are 365 days in a year
31/365 probability someone has a birthday in May
The probability of the event A that represents that the man's birthday is in May is 0.084.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur. Mathematically -
P(A) = n(A)/n(S)
Given is a person who is randomely selected.
Assume that the Event A represents that the man's birthday is in may.
Total number of days in the month of may = n(A) = 31
Total number of days in a year = n(S) = 365
Therefore, the probability that the man's birthday is in may will be -
P(A) = n(A)/n(S)
P(A) = 31/365
P(A) = 0.084
Therefore, the probability of the event A that represents that the man's birthday is in May is 0.084.
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determine the heat energy received per kilogram of steam produced
Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).
A. y + 3 = −5(x − 2)
B. y − 2 = −5(x + 3)
C. y + 3 = −one fifth(x − 2)
D. y − 2 = −one fifth(x + 3)
Suppose a tax is added to each flight. dollars is added to every flight, no matter how long it is. the table shows the new data. what happens to the correlation coefficient when a constant is added to each number?
Coffee with sugar and milk added to it can contain up to calories. To consume a maximum of 600 mg if caffeine per day, how many full eight-ounce servings of a name-brand coffee with 330 mg of caffeine per 16-ounce serving could someone drink in a day and still stay below this limit? full 8-ounce servings
Answer:
A) 500
B) 3
Right on edge
Step-by-step explanation:
Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (6, 6, 3) and use it to approximate the number 6.022 + 5.972 + 2.992 .
How do you convert numbers to percents
Here are the scores of 17 students on a history test. 62, 65, 66, 67, 67, 76, 77, 78, 79, 80, 86, 88, 88, 89, 90, 91, 92 Notice that the scores are ordered from least to greatest. Make a box-and-whisker plot for the data.
9 x 3? Help me please lol I don't have a clue.
9 x 3 =
9 + 9 +9
9+9 = 18, 18+9 = 27
so 9x3 = 27
Solve the equation. 5x + 6 = 2(2x – 3)
The solution to the equation 5x + 6 = 2(2x – 3) is x = -12
The given equation is:
5x + 6 = 2(2x - 3)
Expand the right hand side of the equation using distributive rule
5x + 6 = 4x - 6
Collect like terms
5x - 4x = -6 - 6
Simplify the equation above
x = -12
Therefore, the solution to the equation 5x + 6 = 2(2x – 3) is x = -12
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A rectangular container 20 cm long and 15 cm wide contains sone water. When an iron ball was put in the water level rose by 3cm, find the the volume of the iron ball
The volume of the iron ball in the rectangular container that is 20 cm long and 15 cm wide is 900cm³.
How to calculate volume?The volume of a rectangular cuboid can be calculated by multiplying the length, breadth and the height of the shape.
According to this question, a rectangular container 20 cm long and 15 cm wide contains sone water. When an iron ball was put in the water level rose by 3cm.
Volume of the iron ball = 20cm × 15cm × 3cm
Volume of the iron ball = 900cm³
Therefore, the volume of the iron ball in the rectangular container that is 20 cm long and 15 cm wide is 900cm³.
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Rita borrowed 8000 at a rate of 10.5% compounded monthly assuming she makes no payments how much willshe owe after8 years
What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11
Answer:
1. The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.
2. The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.
Step-by-step explanation:
Let the number of person who is older than 35 years has a hemoglobin level between 9 and 11 be x.
From the given table it is clear that the total number of person who is older than 35 years is 162.
[tex]76+x+40=162[/tex]
[tex]x+116=162[/tex]
[tex]x=162-116[/tex]
[tex]x=46[/tex]
The number of person who is older than 35 years has a hemoglobin level between 9 and 11 is 46.
1.
The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is
[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level between 9 and 11}}{\text{Person who is older than 35 years}}[/tex]
[tex]P=\frac{46}{162}\approx 0.284[/tex]
The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.
2.
Person who is older than 35 years has a hemoglobin level of 9 and above is
[tex]46+40=86[/tex]
The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is
[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level of 9 and above}}{\text{Person who is older than 35 years}}[/tex]
[tex]P=\frac{86}{162}\approx 0.531[/tex]
The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.
Answer:
.531
Step-by-step explanation:
Plato
The radius of the circle whose equation is (x + 4)² + (y - 2)² = 36 is 36 18 6
A company has a sales revenue of $10,000, cost of goods sold of $4500, and other operating expenses of $1500. what is this company's pre-tax income?
Find the number of permutations of 8 things taken 5 at a time. 40,320 6,720 336
The number of permutations of 8 things taken 5 at a time is calculated using the formula P(n, k) = n! / (n-k)!, resulting in 6,720 possible permutations.
Explanation:To find the number of permutations of 8 things taken 5 at a time, we use the formula for permutations, which is:
P(n, k) = n! / (n-k)! where n is the total number of items, and k is the number of items to be chosen.
In this case, n=8 and k=5. Using the formula, we get:
P(8, 5) = 8! / (8-5)! = 8! / 3! = (8 × 7 × 6 × 5 × 4) / (3 × 2 × 1) = 6720.
So, the number of permutations of 8 things taken 5 at a time is 6,720.
Tim count his friends fingers by fives. he counts the fingers on six hands. what number does he say?
HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of the window is 6 and 3/ 4 feet, how many feet of the wood is needed to frame the window? Write your answer as a proper or improper fraction
An experiment consist of drawing 1 card from a standard 52 -card deck. Let E be the event that card drawn is a 2. Find P(E').
Claire has received scores of 85,88,87,and 85 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 88?
88*5 = 440
so all 5 tests need to equal at least 440
85 +88 +87 +85 = 345
440-345 = 95
she needs at least a 95 to have an 88 average
95 is the minimum score she must receive on the fifth test to have an overall test score average of at least 88.
88*5 = 440
All 5 tests need to equal at least 440.
85 +88 +87 +85 = 345
440-345 = 95.
What is average in maths?In Maths, an average of a list of records is the expression of the primary price of a set of statistics. Mathematically, it's far described as the ratio of summation of all the facts to the range of units present inside the listing. In phrases of records, the common of a given set of numerical records is also called the mean.
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Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment. How many lamps are available at the end of an 8-hour shift?
Answer:
130 lamps are available at the end of an 8-hour shift
Step-by-step explanation:
Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment
LEt x be the number of hours and y be the lamps available
(3,75) (5,97)
Make the equation y=mx+b
m is the slope and b is the y intercept
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{97-75}{5-3} =\frac{22}{2} =11[/tex]
y=11x+b
Now solve for b using (3,75)
75 = 11(3) +b
75 = 33 + b
Subtract 33 from both sides
42= b
So equation becomes y= 11x + 42
To find available lamps at the end of 8 hours, plug in 8 for x
y= 11(8) + 42= 130
Leon watched a beetle and a spider on the sidewalk the beetle crawled 2 yards and the spider crawled 1/6 of the yard how much further did the beetle crawled in the spider
The beetle crawled 11/6 yards, or 1 and 5/6 yards, further than the spider.
The question asks how much further the beetle crawled compared to the spider. The beetle crawled 2 yards, and the spider crawled 1/6 of a yard. To find out how much further the beetle crawled, we subtract the distance the spider crawled from the distance the beetle crawled.
Step 1: Convert the distances to the same unit, if necessary. Here, both distances are already in yards, so no conversion is needed.
Step 2: Subtract the spider's distance from the beetle's distance: 2 yards - 1/6 yard.
Step 3: Calculate the difference: 2 yards - 1/6 yard = 12/6 yards - 1/6 yard = 11/6 yards.
Therefore, the beetle crawled 11/6 yards, or 1 and 5/6 yards, further than the spider.