I need a lot of help with number 2
Answer:
I. 168
Step-by-step explanation:
Break the shapes down and get the area of each of them individually then add them together
Joseph bought a 2 pound bag of coffee for $14.95. What is the price per ounce?
Answer:
0.46 or 0.47
Step-by-step explanation:
A pound is 16 ounces
16 x 2 = 32
14.95 ÷ 32 = 0.4671875
Since cents only goes to the top ten, depending on the question, it will either be 0.46 or rounded to 0.47
The required price per ounce of coffee would be $0.47 per ounce.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.
For example 4/2 = 2
To calculate the price per ounce.
We have to divide the cost of the bag of coffee by the number of ounces it contains.
As per the given question, the required solution would be as:
There are 16 ounces in a pound, so the 2-pound bag of coffee contains :
⇒ 2 × 16 = 32 ounces.
To find the price per ounce, divide the price of the bag of coffee by the number of ounces it contains:
⇒ $14.95 / 32 ounces
Apply the division operation, and we get
⇒ $0.47 per ounce.
Therefore, the price per ounce of coffee would be $0.47.
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Help me with my brothers hw man pls
Answer:
-67
Step-by-step explanation:
the answer is -67 because of maths
Eli runs a distance of 15 miles in 2hrs. Jess runs a distance of 4 miles in 1/2 of an hour. Who has the faster speed? Use vocabulary.
Answer:
Eli has the faster speed than Jess.
super confused, appreciate it if someone could help lol
Answer: the 1 2 and 3
Step-by-step explanation:
Answer:
bruv edginuity sucks haha
Step-by-step explanation:
Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Find the value of a that makes each system a dependent system.
3y = 2x , 6y - a - 4x = 0
The value of 'a' that makes the given system a dependent system is 4.
To make the given system a dependent system, we need to find the value of 'a' that makes both equations equivalent or proportional.
Let's begin by rearranging the first equation so that it is in the standard form y = (2/3)x.
Now, let's substitute this expression for y in the second equation and simplify:
6y - a - 4x = 0
6(2/3)x - a - 4x = 0
4x - a = 0
We can see that if we choose 'a' to be equal to 4, then both equations will be equivalent. In other words, the system will become a dependent system with infinitely many solutions.
To see why, let's substitute 'a' as 4:
6y - 4 - 4x = 0
6y - 4x = 4
Now, if we compare this equation to the first one we wrote, y = (2/3)x, we can see that they are equivalent. Thus, any solution that satisfies the first equation will also satisfy the second equation, and vice versa. This means that we have infinitely many solutions to the system.
In conclusion, the value of 'a' that makes the given system a dependent system is 4.
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Nathan and Olivia are saving money for school supplies. Nathan saves $2 per week and already has $30 in his bank. Olivia saves $4 per week and has $15 in her bank. Write the system of equations for this situation.
Answer:
Nathan: 2x+30
Olivia: 4x+15
Step-by-step explanation:
x is the number of weeks
Nathans account is as follows
2x+30
(2 dollars a week plus the 30 dollars already there)
Olivia's account is as follows
4x+15
(4 dollars per week plus the 15 already in there)
The system of equation for the given situation should be considered
Nathan: 2x+30
Olivia: 4x+15
Calculation of the system of equation:here we assume x is the number of weeks
So for nathan, the equation is 2x+30
And, for Olivia's account is 4x+15
hence, The system of equation for the given situation should be considered
Nathan: 2x+30
Olivia: 4x+15
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Use the Distributive Property to expand (−4y−5z)3
Answer:
-12y -15z
Step-by-step explanation:
3(-4y)= -12y
3(-5z)= -15z
Answer:
D. -12y -15z
Step-by-step explanation:
John received a z score of 0.5 on an exam. Peter received a T score of 60 on that same exam. What can be said about their relative performance on the exam?
a. There is not enough information to compare John's and Peter's exam scores.
b. Peter received a higher raw score than John on the exam.
c. John received a higher raw score than Peter on the exam.
d. The two test-takers actually received the same score on the exam.
The answer is (a) There is not enough information to compare John's and Peter's exam scores.
A z score and a T score are both measures of how a particular score compares to the mean in a distribution, but they are calculated using different formulas. A z score measures the number of standard deviations a score is from the mean, while a T score is a linear transformation of the raw score that is adjusted to have a mean of 50 and a standard deviation of 10.
Without additional information about the specific distribution of scores, the mean, and the standard deviation, we cannot determine the raw scores of John and Peter or compare their relative performance on the exam. The z score of 0.5 for John indicates that his score is half a standard deviation above the mean, but we don't know the actual raw score. Similarly, the T score of 60 for Peter indicates that his score is above the mean, but we don't have enough information to determine the raw score or make a direct comparison between the two.
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if your degrees of freedom is 24, your sample size when conducting a t test for dependent means must be ______. a. 26 b. 23 c. 25 d. 24
If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.
The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.
However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:
df = n - 1
Where "n" is the number of pairs of observations in the sample.
Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:
n = df + 1 = 24 + 1 = 25
Hence, the answer is 25.
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a heavy rope, 90 ft long and weighing 72 lbs, hangs over the edge of a building 100 ft high. how much work w is done in pulling the rope up 10 ft?
The work done in pulling the rope up 10 ft is 864 ft-lbs, calculated by multiplying the rope's weight (72 lbs) by the distance (10 ft) it was lifted.
Work done = Weight x Distance
Work done = 72 lbs x 10 ft
Work done = 720 ft-lbs
Additional work done for weight of rope = Weight of rope x Distance
Additional work done for weight of rope = 90 x 10
Additional work done for weight of rope = 900 ft-lbs
Total work done in pulling the rope up 10 ft = 720 ft-lbs + 900 ft-lbs
Total work done in pulling the rope up 10 ft = 864 ft-lbs
The work done in pulling the rope up 10 ft is calculated by multiplying the weight of the rope (72 lbs) by the distance (10 ft) it was lifted. This gives us a result of 720 ft-lbs. However, since the rope is 90 ft long, we must also take into account the additional weight of the rope beyond the 10 ft that was lifted. So, we multiply the weight of the rope (90 lbs) by the distance (10 ft) to get an additional work done of 900 ft-lbs. Adding the two results together gives us 864 ft-lbs of work done in pulling the rope up 10 ft. This shows that the heavier a rope is, the more work must be done to lift it.
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Cans of pop cost 35p each how much will 8 cans cost
Answer:
$280
Step-by-step explanation:
35(8) = 280
Please helpppppppppppppppppp
The graph shows the progress of a train travelling between cities.
a) How far does the train travel in the 4 hour journey?
b) Write down a unit rate which compares the distance travelled with the time taken.
Answer:
a) 240 km
b) 60 km in 1 hour
Answer:
A) It will take 4 hours to get to a distance of 240.
B) If we find the unit rate of 240 by 4, divide 240 by 4, which is 60.
Step-by-step explanation:
A) Look at the graph, you see the dot is left by 240 and down by 4. So it would take 4 hours to get to a distance of 240.
B) Like I said, we divide 240 by 4. Make sure to put 1 as the denominator, and divide the top and bottom by 4.
when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.
On adding the provided equations, 4x +7y= 17 and 9x + 13y = 46 the resultant equation we will be getting is 13x + 20y = 63.
In order to perform addition of two equations together, we are needed to add the left-hand side of each equation and the right-hand side of each equation separately. This gives us:
(4x + 7y) + (9x + 13y) = 17 + 46
Combining like terms on both the sides, we will be getting ,
13x + 20y = 63
Therefore, from the above calculations this inference can be drawn that the overall equation is calculated to be 13x + 20y = 63.
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The complete question is :
4x +7y= 17
9x + 13y = 46
when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.
Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-5).
The Point-slop form for X is X = 5Y+15, and the Point-slop form for Y is \(\frac{X-5}{5}\), for the line with a slope 1/5 and passing through the point (-4, -5).
Finding the slop form using the formula \(m=\frac{Y_{1} - Y_{2} }{X_{1} -x_{2} }\)
The equation for x.
Here m=1/5.
∴ \(\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}\)
\(\frac{1}{5}\) × X-(-5) = Y-(-4)
\(\frac{1}{5}\) × X+5 = Y+4
X+5= 5Y+2O
X=5Y+20-5
X=5Y+15
∴Point-slop for X is X=5Y+15.
Solving for Y.
\(\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}\)
Simplifying and Solving.
\(\frac{1}{5}\) × X-(-5) = Y-(-4), Taken 0n X-(-5) the right side.
\(\frac{1}{5}\) × X+5 = Y+4
X+5= 5Y+2O
X+5-20=5Y
X-15=5Y
Taking 5 0n the right side.
\(\frac{X-15}{5}\) = Y
∴ Point-slop form for Y is \(\frac{X-5}{5}\)
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The angle between 0∘ and 360∘ that is coterminal with the −252∘ angle is degrees.
The angle coterminal with -252° between 0° and 360° is 108°.
To find the angle between 0° and 360° that is coterminal with the -252° angle, we can add or subtract multiples of 360° until we get an angle within the desired range.
Since the given angle is negative, we can add 360° to it repeatedly until we get a positive angle:
-252° + 360° = 108°
Therefore, the angle between 0° and 360° that is coterminal with the -252° angle is 108°.
Coterminal angles are angles that have the same initial and terminal sides but may differ in the number of complete revolutions made. In this case, by adding 360° to the given angle, we obtain an angle that falls within the desired range.
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Work out the mean for the data set below:
6
,
14
Hey there!
Your mean is known as your average / total. To find your mean you have to ADD the total numbers you have in your data plot then DIVIDE it by the total number you have in your set.
FORMULA:
sum of numbers ÷ total numbers = mean
YOUR EQUATION:
MEAN = 6 + 14 / 2
MEAN = 20 / 2
MEAN = 10
Therefore, your answer is: 10
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
Answer:
10
(6+14)/2 = 10
Step-by-step explanation:
Find m∠1. Then classify the triangle by its angles
9514 1404 393
Answer:
∠1 = 60°equilateral triangleStep-by-step explanation:
The sum of angles in a triangle is 180°, so we have ...
60° +60° +∠1 = 180°
∠1 = 180° -120° = 60°
The measure of angle 1 is 60°.
All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.
At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
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The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle
Answer: 4x + 6
Step-by-step explanation:
let width of rectangle = x, then
the length of rectangle = x + 3
perimeter of rectangle = 2(L + W)
= 2(x + x + 3)
= 2(2x + 3)
=4x + 6
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp[[[[[[[[[Erica deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals, how much money is in Erica’s account at the end of four months?
which doesn’t belong? PLEASE HELP! I will give a thanks! helpppppp
Answer:
The blu
Step-by-step explanation:
It is parallel, while the others are not.
Answer:
Blue lines
Step-by-step explanation:
they are not touching
Solve for x. Help Help Help Help Help, I tried dividing 17/2 which gave me 8.5 but it’s wrong
Answer:
x = 15.9
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + x^2 = 17^2
36+ x^2 = 289
x^2 = 289-36
x^2 =253
Take the square root of each side
sqrt(x^2) = sqrt( 253)
x = 15.90597
Rounding to the nearest tenth
x = 15.9
Use the roster method to list the elements in the set P. If the set is empty, type DNE without curly braces.
The set P consists of the elements {1, 4, 7, 10, 13, 16}, all of which form an arithmetic sequence with a common difference of 3.
What is roster method?
The roster method is a way of defining a set by listing its elements inside curly braces.
For example, the set A = {2, 4, 6, 8} is defined using the roster method, where the elements 2, 4, 6, and 8 are listed inside curly braces. This is a convenient way to specify small, finite sets.
In the set P, the first element is 1. To get the next element in the set, we add 3 to the previous element. So the second element in the set is 1 + 3 = 4.
Similarly, to get the third element in the set, we add 3 to the second element, which gives us 4 + 3 = 7. We can repeat this process to obtain the rest of the elements in the set.
Specifically, the next three elements in the set are obtained by adding 3 to the previous element:
The fourth element in the set is 7 + 3 = 10.
The fifth element in the set is 10 + 3 = 13.
The sixth element in the set is 13 + 3 = 16.
Therefore, the set P consists of the elements {1, 4, 7, 10, 13, 16}, all of which form an arithmetic sequence with a common difference of 3.
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A square inscribed in a circle and centered at the origin has points at (2, 2), (- 2, 2), (2, -2) and ( -2, -2). What is the equation of the circle that circumscribes the square?
X^2+y^2=8 is the answer but why?
Answer:
In short, they are all solutions to your equation.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below. I clarified as much as possible and included all explanations/work.
I hope this helps.
Twelve measurements of the percentage of water in a methanol solution yielded a sample mean û = 0.547 and a sample standard deviation ô=0.032. = = (a) Find a 95% confidence interval for the percentage of water in the methanol solution. (b) Explain what exactly it means when we say that we are ""95% confident"" that the true mean u is in this interval.
95% Confidence interval for the percentage of water in the methanol solution: [0.536, 0.558](b)
A confidence interval is a range of values which is believed to contain the true value with a certain degree of confidence. In this case, we are given a 95% confidence interval which means that we are 95% confident that the true value lies in this interval.In the given problem, we need to find the 95% confidence interval for the percentage of water in the methanol solution. Given sample mean û = 0.547 and a sample standard deviation ô=0.032.Number of measurements, n = 12As the sample size is less than 30, we need to use the t-distribution formula to find the confidence interval.
distribution formula for 95% confidence interval is given by :Confidence interval = û ± t(α/2) * (ô/√n)Here, û = 0.547ô= 0.032n = 12α/2 = 0.05/2 = 0.025Degree of freedom = n
-1 = 12
-1 = 11From the t-distribution table, t0.025, 11 = 2.201.
Confidence interval = 0.547 ±
(2.201 * 0.032 / √12) = 0.547 ± 0.011[0.536, 0.558]Hence, the 95% confidence interval for the percentage of water in the methanol solution is [0.536, 0.558].When we say we are 95% confident, it means that if we were to repeat this sampling procedure multiple times, then approximately 95% of the calculated confidence intervals would contain the true population parameter. In other words, there is a 95% chance that the true mean u lies in this interval.
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ANOVA
printers (significance level=0.05). [30\%] (c) State two assumptions that are necessary in order for the above ANOVA to be valid. \( [20 \%] \) (d) The company uses leaflets that are of four different
(c) Two assumptions necessary for the validity of the ANOVA are:
1. Independence: The observations within each group and between groups should be independent of each other. This means that the value of one observation should not be influenced by or related to the value of another observation.
2. Homogeneity of variances: The variances within each group should be roughly equal. This assumption, also known as homoscedasticity, ensures that the variability in the dependent variable is similar across all groups.
(d) The company uses leaflets of four different designs to promote its printers. To assess the impact of leaflet design on sales, an ANOVA is performed. The null hypothesis states that the mean sales are equal across all leaflet designs, while the alternative hypothesis suggests at least one mean is different.
By comparing the computed F-statistic with the critical F-value at a significance level of 0.05, the ANOVA determines whether there is sufficient evidence to reject the null hypothesis. If the p-value is less than 0.05, it indicates a significant difference among the leaflet designs.
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y <= - 1/3 * x + 2; y > 2x - 3 linear inequalities
Step-by-step explanation:
Given
Inequalities are \(y\leq -\dfrac{1}{3}x+2\) and \(y>2x-3\)
Take the inequality as two equations to get the intersection point
\(y=-\dfrac{1}{3}x+2\ and\ y=2x-3\)
Equate the value of y
\(\Rightarrow -\dfrac{1}{3}x+2=2x-3\\\Rightarrow 5=\dfrac{7x}{3}\\\\\Rightarrow x=\dfrac{15}{7}\)
\(\therefore y=1.286\)
The common region gives the required regions for inequalities.
What is the inverse of this function?
f(x) = -√x +3₁ x ≥ −3
f-¹(x) =
2-
-
for x ≤
Answer:
f(x)^-1=x^2-3
Step-by-step explanation:
So I'm assuming you meant to include the 3 in the radical as well which would make sense given the domain restriction. To find the inverse you simply swap the x and y since the inverse function is when the domain and range are swapped.
\(y=-\sqrt{x+3}\\x=-\sqrt{y+3}\\-x=\sqrt{y+3}\\(-x)^2=y+3\\x^2-3=y\\f(x)^{-1}=x^2-3\)