Answer:
B
Step-by-step explanation:
A 90 degree rotation would be a rotation of 90° about the origin. Knowing this, we can eliminate C since it is a 180° rotation. We can also eliminate A, as it would be a 0° or 360° rotation. This leaves us with B and C.
A counterclockwise rotation would be one that goes the opposite direction of the rotation of the hands of a clock. A 90° counterclockwise rotation would yield triangle B, making that our answer.
I hope you find my answer and explanation to be helpful. Happy studying.
Tim bought a pair of Zeus running shoes on sale that were marked down 25% to $60 what was the original price of the shoe
Tim bought a pair of running shoes marked 25% down at a price of $60
The formula to find the discount of an item on sale is
\(\text{ \% discount =}\frac{Discount\text{ price}}{\text{Original price}}\times100\text{\%}\)Where
\(\begin{gathered} \text{Discount price = \$60} \\ \text{\% discount = 25\%} \end{gathered}\)Let k represent the original price
Substitute the values into the formula above
\(\begin{gathered} 25=\frac{60}{k}\times100 \\ \text{Crossmultiply} \\ 25\times k=60\times100 \\ 25k=6000 \\ \text{Divide both sides by 25} \\ \frac{25k}{25}=\frac{6000}{25} \\ k=\text{\$240} \end{gathered}\)Hence, the original price, k, of the pair of Zeus running shoes is $240
10 Which number comes between
74.97 and 16.08?
A. 14.79
B. 16.09
C. 16.1
D. 15.543
What is the answer to 18 times x equal to 6 with no decimal
Answer:
The answer is 108 I remember it because 9×12 is 108 and that's kinda what it is really.
during its first month of business, dig the dogs, inc. purchased $900 of hotdogs of which it paid $500 and owes the rest. during the month, it sold two thirds of its inventory for $1,500 on account. what is the amount of cost of goods sold for the month ended?
For the month ended, the cost of goods sold was $600.
Cost of goods sold (COGS) is a crucial accounting formula that calculates the expenses incurred when a company sells its products or services. Therefore, $600 represents the cost of items sold for the just finished month.
A measurement of the cost of products sold throughout the accounting period is the cost of goods sold (COGS). It is computed by adding the ending inventory after deducting the beginning inventory from the cost of the products bought during the accounting period.
The following formula is used to determine Dig the Dogs, Inc.'s cost of goods sold for the just ended month: Starting inventory is zero, and the cost of the goods was $900. $300 is the ending inventory.
Beginning Inventory = 0
Cost of Goods Purchased = $900
Ending Inventory = $300 .
COGS = Beginning Inventory + Cost of Goods Purchased - Ending Inventory COGS = 0 + 900 - 300 = $600
Therefore, the cost of goods sold for the month ended is $600.
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Convert the flow rate of 250 gallons per minute (gpm) to a flow rate of gallons per second.
Answer:
multiply by
Convert from Convert to
US gpd US gpm cfm IMP gpd IMP gpm
m3/s 22800000 15852 2119 19000000 13200
m3/min 380000 264.2 35.32 316667 220
m3/h 6333.3 4.403 0.589 5277.8 3.67
liter/sec 22800 15.852 2.119 19000 13.20
liter/min 380 0.2642 0.0353 316.7 0.22
liter/h 6.33 0.0044 0.00059 5.28 0.0037
US gpd 1 0.000695 0.000093 0.833 0.000579
US gpm 1438.3 1 0.1337 1198.6 0.833
cfm 10760.3 7.48 1 8966.9 6.23
Imp gpd 1.2 0.00083 0.00011 1
Step-by-step explanation:
googled it
1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9 =1
Hello,
Answer:
We can start by rationalizing the denominators of each fraction.
For the first fraction, we multiply the numerator and denominator by the conjugate of the denominator, which is √4 - √5:
1/√4+√5 = 1/√4+√5 × (√4 - √5)/(√4 - √5)
= (√4 - √5)/(4 - 5)
= (√4 - √5)/(-1)
For the second fraction, we multiply the numerator and denominator by √5 - √6:
1/√5+√6 = 1/√5+√6 × (√5 - √6)/(√5 - √6)
= (√5 - √6)/(5 - 6)
= (√5 - √6)/(-1)
We can do the same for the remaining fractions:
1/√6+√7 = (√6 - √7)/(-1)
1/√7+√8 = (√7 - √8)/(-1)
1/√8+√9 = (√8 - √9)/(-1)
Now we can simplify the expression:
1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9
= (√4 - √5)/(-1) + (√5 - √6)/(-1) + (√6 - √7)/(-1) + (√7 - √8)/(-1) + (√8 - √9)/(-1)
= (√4 - √5 + √5 - √6 + √6 - √7 + √7 - √8 + √8 - √9)/(-1)
= (√4 - √9)/(-1)
= √9 - √4
= 3 - 2
= 1
Therefore, the expression simplifies to 1, which is equal to the right-hand side of the equation.
Good luck
what is the answer to 5x + 3 = 22
Answer: The correct answer is x = 19 / 5
Step-by-step explanation:
Solve the equation
5x + 3 = 22
Subtract 3 from both sides
5x + 3 − 3 = 22 − 3
5x = 19
Divide both sides by 5
5x/5 = 19/5
x = 19 / 5
Isabella filled her pool with water at a constant rate.
The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes)Time Water2 1847 9412 4How fast did Isabella fill her pool?
Isabella fills her pool at a rate of 18 liters per minute as per the given condition.
The slope of the volume can be used to determine how quickly it changes when given Time t in minutes and Volume V in liters. That represents a change in volume relative to a change in time.
m = (v2-v1)/(t2-t1).
selecting the first two points (2, 184) and from the provided data (7, 94).
Volume remains in the pool at what rate =
(94-184)/(7-2) = -90/5 = -18.
Therefore the rate at which Isabella fills her pool is 18 liters/minute as per the given question.
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Simplify this expression.
2√5(13+√2)
2√65+2√10
2√5+2√7
26√65+2√10
26√5+2√10
Answer:
\(26\,\sqrt{5} +2\,\sqrt{10}\)
Step-by-step explanation:
We start by using distributive property multiplying the constant term outside the parenthesis times each of the terms inside the parenthesis:
\(2\,\sqrt{5} \,(13+\sqrt{2} )=2*13\,\sqrt{5} +2\,\sqrt{5} \,\sqrt{2} = 26\,\sqrt{5} +2\,\sqrt{5\,*\,2} =26\,\sqrt{5} +2\,\sqrt{10}\)
pls help me solve this question pls show how you got the answer
how many solutions are in y=2x−4−21x+3y=3
Step-by-step explanation:
there are 2 variables in one equation, and none of the variables can be eliminated through simplification.
-19x + 3y - 4 = 3
-19x + 3y = 7
so, there will be infinitely many solutions.
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
Let P(x, y) be the terminal point on the unit circle determined by t. Then sin t = ____, cos t = ____, and tan t = ____.
By definition, the x-coordinate of the terminal point is equal to cos t and the y-coordinate is equal to sin t. This allows us to easily find the values of sin t and cos t. To find tan t, we use the formula tan t = sin t / cos t, which we can substitute with our previously found values for sin t and cos t.
First need to understand what is meant by the terms "terminal point" and "unit circle". The unit circle is a circle with a radius of 1, centered at the origin of the coordinate plane. The terminal point is the point where the circle intersects with a line that starts at the origin and passes through an angle t measured in radians.
To find sin t and cos t, we need to look at the coordinates of the terminal point. Let's call the x-coordinate of the terminal point x' and the y-coordinate y'. By definition, x' = cos t and y' = sin t. Therefore, sin t = y' and cos t = x'.
To find tan t, we use the formula tan t = sin t / cos t. Substituting in our values for sin t and cos t, we get:
tan t = y' / x'
So, to summarize:
- sin t = y'
- cos t = x'
- tan t = y' / x'
In summary, we can use the unit circle to determine the values of sin t, cos t, and tan t for any angle t measured in radians. The terminal point on the unit circle is the point where the circle intersects with a line passing through the origin at angle t.
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You have $700 to buy a new carpet for you bedroom write an inequality that represents the cost c per 14 squares for your new carpet
The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:
The inequality is c ≤ 50.
Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:
c/14 ≤ 700
This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.
To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.
Since we have a budget of $700, we can write the inequality:
14x ≤ 700
This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:
x ≤ 50
This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.
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1) Now, find the difference.
?
3
3
12
8
-1
12
?
What is the answer
13÷1766
I dont know
Solve for x:
(1 + 9x). -10
-10-90
O 9x-10
O 9x+10
O 100x
Step-by-step explanation:
\( = (1 + 9x) \: . \: - 10\)
\( = ( - 10 \times 1) - (9x \times 10)\)
\( = - 10 - 90x\)
2 Solve the following simultaneous equations. a y=12-2X y=20-s ic, y = 4X-7 b y=-30 y=-2-22 11 = 28-34 d x=34-25 15x=3y=-17
a) y = (460 - 2s) / 22. b) Substituting this value for x into either of the original equations, we can solve for y: y = -30. c) Substituting this value for x into either of the original equations, we can solve for y: y = 131. d) This equation is always true, which means that there are infinitely many solutions for x and s.
a) In order to solve for x and y in the system of equations:
y = 12 - 2x
y = 20x - s
We can set the two expressions for y equal to each other:
12 - 2x = 20x - s
Simplifying, we get:
22x = s + 12
x = (s + 12) / 22
Substituting this value for x into either of the original equations, we can solve for y:
y = 12 - 2((s + 12) / 22)
y = (484 - 2s - 24) / 22
y = (460 - 2s) / 22
b) In order to solve for x and y in the system of equations:
y = -30
y = -2 - 22x + 11
We can set the two expressions for y equal to each other:
-30 = -2 - 22x + 11
Simplifying, we get:
-22x = 41
x = -41 / 22
Substituting this value for x into either of the original equations, we can solve for y:
y = -30
c) In order to solve for x and y in the system of equations:
y = 28 - 34x + 11
x = 34 - 25y / 15
We can substitute the expression for y from the first equation into the second equation:
x = 34 - 25(28 - 34x + 11) / 15
Simplifying, we get:
x = 34 - (5/3)(28 - 34x + 11)
x = 34 - (5/3)(39 - 34x)
x = (217/17) - (10/17)x
(27/17)x = (217/17) - 39
x = -2
Substituting this value for x into either of the original equations, we can solve for y:
y = 28 - 34(-2) + 11
y = 131
d) In order to solve for x, y, and s in the system of equations:
y = -17/3
15x = 3y + s
We can substitute the expression for y from the first equation into the second equation:
15x = 3(-17/3) + s
15x = -17 + s
Solving for s, we get:
s = 15x + 17
Substituting this expression for s into either of the original equations, we can solve for y:
y = -17/3
Finally, we can solve for x by substituting the expression for s into the equation:
15x = 3(-17/3) + (15x + 17)
15x = -17 + 15x + 17
0 = 0
This equation is always true, which means that there are infinitely many solutions for x and s.
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Protractor postulate: given any angle, we can express its measure as a unique ______________ number from 0 to 180 degrees.
Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.
The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.
A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.
The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.
For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.
It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.
In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.
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Select the correct answer from each drop-down menu.
Consider the expressions given below.
A.
B.
C.
D.
22²-2²-62
2z² + 8z + 4
324 +2²+2-7
324-32²+52-7
For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(42¹ - 4+72) - (22³-z-8)is equivalent to expression
(-32² + 2 + 2) + (2z - 7+ 4z)is equivalent to expression
(2²-22) (2z + 3) is equivalent to expression
The equivalent expressions for (4x³-4+7x)-(2x³-x-8) is 2x³+8x+4. The correct option is B, for (-3x²+x⁴+x)+(2x⁴-7+4x) is 3x⁴-3x²+5x-7. The correct option is D, for (x²-2x)(2x+3) is 2x³-x²-6x. The correct option is A.
Given the expressions is (4x³-4+7x)-(2x³-x-8), (-3x²+x⁴+x)+(2x⁴-7+4x) and (x²-2x)(2x+3).
Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are the same.
Firstly, we will simplify the expression (4x³-4+7x)-(2x³-x-8), we get
(4x³-4+7x)-(2x³-x-8)=4x³-4+7x-2x³+x+8
(4x³-4+7x)-(2x³-x-8)=2x³+8x+4
Now, we will simplify the expression (-3x²+x⁴+x)+(2x⁴-7+4x), we get
(-3x²+x⁴+x)+(2x⁴-7+4x) =-3x²+x⁴+x+2x⁴-7+4x
(-3x²+x⁴+x)+(2x⁴-7+4x) =3x⁴-3x²+5x-7
Further, we will simplify the expression (x²-2x)(2x+3), we get
(x²-2x)(2x+3)=x²(2x)+x²(3)-2x(2x)-2x(3)
(x²-2x)(2x+3)=2x³+3x²-4x²-6x
(x²-2x)(2x+3)=2x³-x²-6x
Hence, the equivalent expressions for (4x³-4+7x)-(2x³-x-8) is 2x³+8x+4, for (-3x²+x⁴+x)+(2x⁴-7+4x) is 3x⁴-3x²+5x-7, for (x²-2x)(2x+3) is 2x³-x²-6x.
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solve for n. -3n - 4 > 26
Answer:
n < -10
Step-by-step explanation:
Answer:
n< -10
Step-by-step explanation:
-3n-4>26
+4 both sides
-3n>30
/-3 both sides
flip sign
n<-10
use photomath if you need a better explanation
for what real values of $c$ is $4x^2 14x c$ the square of a binomial?
The real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.
To determine the real values of $c$ for which the expression $4x² + 14xc + c$ is the square of a binomial, we need to find the conditions under which it can be factored as $(ax + b)²$, where $a$ and $b$ are constants.
Expanding $(ax + b)²$, we have $(ax + b)² = a²x² + 2abx + b²$. Comparing this with $4x² + 14xc + c$, we can set up the following equations:
$a² = 4$ (equating the coefficients of $x²$)
$2ab = 14c$ (equating the coefficients of $x$)
$b² = c$ (equating the constant terms)
From the first equation, we find that $a = \pm 2$. Substituting this value into the second equation, we have:
$2(\pm 2)b = 14c$
$\Rightarrow \pm 4b = 14c$
$\Rightarrow b = \pm \frac{14c}{4}$
$\Rightarrow b = \pm \frac{7c}{2}$
Finally, substituting the values of $a$ and $b$ into the third equation, we get:
$\left(\pm \frac{7c}{2}\right)² = c$
$\Rightarrow \frac{49c²}{4} = c$
$\Rightarrow 49c² = 4c$
$\Rightarrow 49c² - 4c = 0$
$\Rightarrow c(49c - 4) = 0$
Now, we can solve this equation to find the values of $c$:
$c = 0$: This is one possible solution.
$49c - 4 = 0 \Rightarrow 49c = 4 \Rightarrow c = \frac{4}{49}$: This is another possible solution.
Therefore, the real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.
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Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. for a certain movie, 64.3%.
The underlined numerical value is a statistic.
It represents a percentage of something related to the movie. Statistics refers to the values calculated from a sample of data and can change depending on the sample chosen. Parameters, on the other hand, refer to values calculated from the entire population and do not change .Discussion :In statistics, parameters and statistics are used to describe sets of data.
Suppose we want to estimate the average age of all Americans. The average age of the entire population is the parameter, while the average age of a sample of Americans is a statistic. Therefore, the parameter is a numerical value that describes a population, while the statistic is a numerical value that describes a sample.In the given case, "64.3%" is a percentage, which is calculated from a sample of data related to the certain movie. As the value is calculated from a sample, it is a statistic and not a parameter.
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Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 103 What is the value found using ay : f'(x)Ax? 7103 - (Round to three decimal places as needed.)
To find a decimal approximation of the radical expression using the given notation, you can use the following steps:
1. Identify the function f'(x) as the derivative of the original function f(x).
2. Find the value of Δx, which is the change in x.
3. Apply the formula f'(x)Δx to approximate the change in the function value.
For example, let's say f(x) is the radical expression, which could be represented as f(x) = √x. To find f'(x), we need to find the derivative of f(x) with respect to x:
f'(x) = 1/(2√x)
Now, let's say we want to approximate the value of the expression at x = 103. We can choose a small value for Δx, such as 0.001:
Δx = 0.001
Now, we can apply the formula f'(x)Δx:
Approximation = f'(103)Δx = (1/(2√103))(0.001)
After calculating the expression, we get:
Approximation = 0.049 (rounded to three decimal places)
So, the value found using f'(x)Δx for the radical expression at x = 103 is approximately 0.049.
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The attendance over a weekly period of time at a movie theater is normally distributed with a mean of 10,000 and a standard deviation of 1000 persons. Find the percent of attendance figures that differs from the mean by 1500 persons or more.
The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.
From the question above, Mean μ = 10,000
Standard Deviation σ = 1,000
The formula for z-score is :
z = (x-μ) / σ
Where, x = observation
z = z-score
Mean μ = 10,000
Standard Deviation σ = 1,000
From the above formula, let's calculate z-score for x = 11,500
z = (x-μ) / σ
z = (11,500 - 10,000) / 1000
z = 1.5
Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.
P(z ≥ 1.5) = 0.0668
To find the percentage, we need to multiply the above value by 100.
P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%
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The General Social Survey asked a random sample of 1,390 Americans the following question: "On the whole, do you think it should or should not be the government's responsibility to promote equality between men and women?" 82% of the respondents said it "should be". At a 95% confidence level, this sample has 2% margin of error. Based on this information, determine if the following statements are true or false, and explain your reasoning.
(a) We are 95% confident that between 80% and 84% of Americans in this sample think it's the government's responsibility to promote equality between men and women.
(b) We are 95% confident that between 80% and 84% of all Americans think it's the government's respon- sibility to promote equality between men and women.
(c) If we considered many random samples of 1,390 Americans, and we calculated 95% confidence intervals for each, 95% of these intervals would include the true population proportion of Americans who think it's the goverpment's responsibility to promote equality between men and women.
(d) In order to decrease the margin of error to 1%, we would need to quadruple (multiply by 4) the sample size.
(e) Based on this confidence interval, there is sufficient evidence to conclude that a majority of Americans think it's the government's responsibility to promote equality between men and women
(a) True. The statement is true
(b) False. The statement is false
(c) True. The statement is true.
(d) False. The statement is false
(e) True.The statement is true.
(a) True. The statement is true because the 95% confidence interval, which is calculated based on the sample proportion and the margin of error, falls between 80% and 84%. This means that we can be 95% confident that the true population proportion of Americans who think it's the government's responsibility to promote equality between men and women lies within this interval.
(b) False. The statement is false because the confidence interval refers to the proportion of Americans in the sample, not the entire population. We cannot make a direct inference about the population based solely on the sample.
(c) True. The statement is true. In repeated sampling, approximately 95% of the confidence intervals constructed using the same methodology will contain the true population proportion. This is a fundamental property of confidence intervals.
(d) False. The statement is false. To decrease the margin of error, the sample size needs to be increased, but not necessarily quadrupled. Increasing the sample size will lead to a smaller margin of error, but the relationship is not linear. Doubling the sample size, for example, would result in a smaller margin of error, not quadrupling it.
(e) True. Based on the given information, the 95% confidence interval for the proportion of Americans who think it's the government's responsibility to promote equality between men and women falls within the range of 80% to 84%. Since this range includes 50% (the majority threshold), there is sufficient evidence to conclude that a majority of Americans think it's the government's responsibility to promote equality between men and women.
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?
Answer:
A. y≥\(\frac{1}{3\\}\)x+3, 3x-y>2
Step-by-step explanation:
The linear equations above match the lines in terms of slope and y-intercept.
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The system of linear inequalities of the given points is required.
The system of inequality is
\(x-3y\leq -9\)
\(3x-y>2\)
Points of the first line
\((0,3)\)
\((3,4)\)
The equation of the line is
\(y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9\)
Let us take a point above this line \((2,4)\)
It is also a solid line.
\(2-3\times 4=-10<-9\)
So, the inequality is \(x-3y\leq -9\)
Points of the second line
\((0,-2)\)
\((1,1)\)
The equation of the second line is
\(y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2\)
Let us take a point towards the right of the line \((2,2)\)
\(3\times 2-2=4>2\)
Since, the line is dashed the second inequality will be \(3x-y>2\)
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Andre led his baseball league in home runs last year. This year he hit 25% fewer home runs than he did last year.
If y represents the number of home runs Andre hit last year, which two of the following expressions can be used to calculate the number of home runs he hit this year?
Answer:
0.25y
Step-by-step explanation:
a coin-operated coffee machine made by big corporation was designed to discharge a mean of eight ounces of coffee per cup. if it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. big corporation would like to estimate the mean amount of coffee, , dispensed per cup by this machine. big will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate . assuming that the standard deviation of cup amounts dispensed by this machine is ounces, what is the minimum sample size needed in order for big to be confident that its estimate is within ounces of ? carry your intermediate computations to at least three decimal places. write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (if necessary, consult a list of formulas.)
Once you have the required numerical values, plug them into the formula and calculate the minimum sample size needed for Big Corporation to be confident in their estimate of the mean amount of coffee dispensed per cup
We need to determine the minimum sample size required for Big Corporation to estimate the mean amount of coffee dispensed per cup with a certain level of confidence and margin of error.
Unfortunately, some of the numerical values are missing in question.
Step 1: Determine the desired confidence level (e.g., 90%, 95%, 99%).
Step 2: Identify the desired margin of error (e.g., within 0.1 ounces).
Step 3: Given the standard deviation of cup amounts (missing in the question, let's assume it as "σ").
Now, use the formula for determining the minimum sample size needed:
n = (Z² * σ²) / E²
where:
n = minimum sample size
Z = Z-score corresponding to the desired confidence level (e.g., 1.96 for 95% confidence)
σ = standard deviation of cup amounts
E = margin of error
Step 4: Calculate the minimum sample size (n) using the formula and round up to the nearest whole number.
By numerical values, plug them into the formula and calculate the minimum sample size needed for Big Corporation to be confident in their estimate of the mean amount of coffee dispensed per cup.
To know more about margin of error visit:
brainly.com/question/29100795
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