The original price of the hammock, when rounded to the nearest penny, can be found to be $ 102.67.
How to find the original price ?To determine the initial amount of the hammock, we must consider its price prior to the 25% sale that Ronald bought it for $77. Let us denote the original price as P. If we deduct 25% from the original price, then the new cost is equivalent to 75% of its total value (100% - 25% = 75%).
Thus, we can represent this calculation as:
Sales price = 0. 75 x P
77 = 0. 75P
P = 77 / 0. 75
P = $ 102. 67
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Identify the type I error and the type II error that correspond to the given hypothesis.
The percentage of households with Internet access is greater than 60 %.
Answer: Type I error and Type II error are associated with hypothesis testing, where we test a hypothesis by collecting data and analyzing it.
For the given hypothesis, we can set up the null hypothesis as follows:
H0: The percentage of households with Internet access is less than or equal to 60%.
And the alternative hypothesis as:
Ha: The percentage of households with Internet access is greater than 60%.
Now, a Type I error occurs when we reject the null hypothesis (i.e., conclude that the percentage of households with Internet access is greater than 60%) when it is actually true. This means that we would be making a false claim that the percentage of households with Internet access is greater than 60%, when it is not.
On the other hand, a Type II error occurs when we fail to reject the null hypothesis (i.e., conclude that the percentage of households with Internet access is less than or equal to 60%) when it is actually false. This means that we would be missing the truth that the percentage of households with Internet access is greater than 60%.
So, in the context of the given hypothesis, a Type I error would be to conclude that the percentage of households with Internet access is greater than 60% when it is actually less than or equal to 60%, and a Type II error would be to fail to conclude that the percentage of households with Internet access is greater than 60% when it is actually greater than 60%.
conversion a) 192 km b) 15500 dam c) 85000 m d) 3360 hm e) 860000 dm
The given length measurements are converted and given below.
What is unit conversion?Unit conversion is a process with multiple steps that involve multiplication or division by a numerical factor or, particularly a conversion factor.
Given is to convert the given measurements as -
a) 192 km
b) 15500 dam
c) 85000 m
d) 3360 hm
e) 860000 dm
We can write the measurements as -
a) 192 km
192 Km = 192000 meters
b) 15500 dam
15500 dam = 15500 x 10 = 155000 meters
c) 85000 m
85000 m = (85000/1000) Km = 85 Kilometers
d) 3360 hm
3360 hm = 3360 x 100 = 336000 meters
e) 860000 dm
860000 dm = 860000 x 0.1 = 860000 x 1/10 = 86000 meter
Therefore, the given length measurements are converted and given above.
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Find the indefinite integral and check the result by differentiation. (use c for the constant of integration.) x(5x2 5)9 dx
The indefinite integral of x(5x^2 - 5)^9 dx is:
(5x^2 - 5)^8 / 40 + c
We can find the indefinite integral using the following steps:
1. We can write the integral as (5x^2 - 5)^9 * x^1 dx.
2. We can use the power rule of integration, which states that the integral of x^n dx is x^(n + 1) / (n + 1) + c, where c is the constant of integration.
3. We can simplify the result and add the constant of integration.
The following is the step-by-step solution:
```
∫ x(5x^2 - 5)^9 dx = ∫ (5x^2 - 5)^9 * x^1 dx
= (5x^2 - 5)^9 / 9 + c
```
To check the result, we can differentiate the result and see if we get the original integral.
```
d/dx [(5x^2 - 5)^8 / 40 + c] = (5x^2 - 5)^8 * (10x) / 40 + 0 = x(5x^2 - 5)^8 = ∫ x(5x^2 - 5)^9 dx
```
As we can see, we get the original integral back. Therefore, the answer is correct.
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f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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The algebraic representation of a transformation is (x,y) (3x,3y). This is an example of which type of transformation
To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) → \((3x,3y)\) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.
What form can take Algebraic representations?Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.
The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.
This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.
To visualize this transformation, imagine a rectangle with vertices at \((0,0), (1,0), (1,2),\) and \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and (0,6), which is three times the size of the original rectangle.
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The sides of a square all have a side length of y. Write a simplified area function in terms of y for a rectangle whose length is 8 times the side length of the square and whose width is 4 units longer than the side length of the square.
The simplified area function in terms of y for the rectangle is 8y² + 32.
How to calculate for the area of rectangleThe area of rectangle is derived by multiplying the length by the width.
The square have all side length to be y each, if the length of the rectangle is 8 times the side length of the square then;
Length of rectangle = 8y
if the width of the rectangle is 4 units longer than the side length of the square then;
Width of rectangle = y + 4
area of rectangle = 8y(y + 4)
by expansion;
area of rectangle = 8y² + 32
Therefore, 8y² + 32 is the simplified area function in terms of y for the rectangle.
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TRUE/FALSE. in a poisson distribution, the probability of success may vary from trial to trial.
The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.
The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.
The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.
The probability of observing k events in the interval is given by the Poisson probability mass function:
P(k) = (e^(-λ) * λ^k) / k!
where e is the base of the natural logarithm, and k is a non-negative integer.
The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.
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An independent basic service set (IBSS) consists of how many access points?
An independent basic service set (IBSS) does not consist of any access points.
In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.
Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.
To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.
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A wire goes from the top of a 55 ft pole to the ground. It makes a 70
o angle with the ground. How long is the wire? NEEDN ASAP!!! ill give 20 points for this
Answer:
58.5 ft
Step-by-step explanation:
sin 70=55/length
length=58.5 ft
Six percent of all cars manufactured at a large auto company are lemons. Suppose two cars are selected at random from the production line of this company. Let x denote the number of lemons in this sample. Write the probability distribution of x. X P(x) 0. 0.8836 1. 0.1060 2. 0.0564
The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.
The probability distribution of x can be calculated as follows:
Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:
P(x) = (nCx) * p^x * (1-p)^(n-x)
where n is the sample size, p is the probability of success, and x is the number of successes.
The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:
P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836
P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060
P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564
Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564
In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.
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PLZ HELP MEEEEEEEEE!!!!
Question in screenshot.
Answer: A: 4x+3y=30
Step-by-step explanation:
You want to put the equation in the mx+b format.
Right now, x and y are not on the same side. Add 4/3x to both sides.
4/3x+y=10. Next, get rid of the fraction. Multiply both sides by 3.
4x+3y=30.
Answer:
\(4x+3y=30\)
Step-by-step explanation:
Given the equation:
\(y=-\frac{4}{3}x+10 \)
The standard form of the above equation is evaluated as follows:
Step 1:
Eliminate the fraction in the equation by multiplying through by 3
\(y=-\frac{4}{3}x+10 \)
\(3~x~y=3(y=-\frac{4}{3}x+10)\)
⇒\(3y=-4x+30 \)
Step 2:
Add 4x to both sides of the equation.
Thus, we have
\(4x+3y=-4x+4x+30\)
\(4x+3y=30\)
Hence, the standard form of the equation is
\(4x+3y=30\)
A circular rug is cut from a square piece of carpet. Each side of the square piece of Carpet is 40 inches long. After cutting out the circular rug, approximately how much carpet will be left over?
Mr. Alvarado needs 15 1/8 pounds of chicken feed to fill his feeder. He has one bag of chicken feed that weighs 3 1/2 pounds and another bag of chicken feed that weighs 2 3/4 pounds. How many more pounds of chicken feed does Mr. Alvarado need to fill the chicken feeder?
A: 9 1/8 Lbs
B: 8 7/8 Lbs
C: 9 7/8 Lbs
D: 6 1/4 Lbs
Answer:
B: 8 7/8 Lbs
Step-by-step explanation:
answer = \(15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}\)
step 1 find a common denominator
common denominator - 8
* apply *
\(\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}\)
now we have
\(15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}\)
step 2 make each fraction a improper fraction
We can do this my multiplying the big number by the denominator and adding that to the numerator.
\(15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}\)
now we have
\(\frac{121}{8} -\frac{28}{8} -\frac{22}{8}\)
Now we can subtract
remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )
so 121 - 28 - 22 = 71
so the answer is \(\frac{71}{8}\)
finally we want to change the answer back into a mixed fraction
To do this we divided 71 and 8
8 can go into 71 8 times
8 * 8 = 64
71 - 64 = 7
We're left with \(8\frac{7}{8}\)
I can give extra points, I just really need help. pls show work
Answer:
8.. answer 31/8 = 3 7/8
9 ... answer : 189/15 = 12 9/12
10 answer : 43/12 = 3 7/12
Hope this will helpful for you and plz mark me as brainlist plzzzz
please please help, i will mark the brainliest
Answer:
58
Step-by-step explanation:
i think this is the right answer. Not sure
Answer:
D.) 58 degrees
Step-by-step explanation:
If parallel lines are cut by a transversal then alternate interior angles are equal
How many books will the student be able to
read in 10 days if he continues to read at a rate
of 1 book every 2 days?
Answer:
5
Step-by-step explanation:
Discuss the position of the Anti-Federalists related to ratification of the Constitution. Use facts.
The anti-federalist assumed that using the constitution will increase the oppression of the people by those in power but regardless, the constitution was ratified
What is Anti-FederalistThe Anti-Federalists were a group of individuals who opposed the ratification of the Constitution. They believed that the Constitution granted too much power to the central government and did not adequately protect the rights of individual states and citizens. They argued that the Constitution should include a bill of rights to safeguard individual liberties and that the government should be more closely modeled after the Articles of Confederation. Additionally, some Anti-Federalists believed that the Constitution would lead to the rise of an aristocracy and the oppression of the common people. Despite their opposition, the Constitution was ultimately ratified in 1788 with the support of Federalists.
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Factor -45x - 18 using the greatest common factor. Do not use spaces in your answer
THis is about temperature. Help Me Pls! :)
Answer:
It is 0 the negatives cancel out
Step-by-step explanation:
You spent $34 for 8.5 gallons of gasoline. At
the same price per gallon, how many gallons
could you buy for $51?
c
Given the function defined by r(x) = x³ - 2x² + 5x-7, find the following. r(-2) r(-2) = (Simplify your answer.)
r(-2) = 17. A mathematical expression can be simplified by replacing it with an equivalent one that is simpler, for example.
To find r(-2), we need to substitute x = -2 into the expression for r(x).
r(-2) = (-2)³ - 2(-2)² + 5(-2) - 7
r(-2) = -8 - 8 - 10 - 7
r(-2) = -33
Thus, r(-2) = -33.
But we are asked to simplify our answer.
So we need to simplify the expression for r(-2).
r(-2) = -33
r(-2) = -2³ + 2(-2)² - 5(-2) + 7
r(-2) = 8 + 8 + 10 + 7
r(-2) = 17
Therefore, r(-2) = 17.
Calculation steps: x = -2
r(x) = x³ - 2x² + 5x - 7
r(-2) = (-2)³ - 2(-2)² + 5(-2) - 7
r(-2) = -8 - 8 - 10 - 7
r(-2) = -33
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please solve the given problem
Usr the law of,,,,,, , solve my math problem I will tell you about problems in comment
Answer:
1. 51511511151111 / 100000000000000
2. 56727776837787/ 10000000000000
Step-by-step explanation:
1. All you have to do for this problem is write over 10000000000000
\(51511511151111 / 100000000000000\)
2. Write it overpower of 10
\(56727776837787/ 10000000000000\)
3. You need to give me in order to solve
how many solutions does 5x - 4x = 2x + 6 have
Answer:
B. No solutions
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7−4x=2+x+6−5x
7+−4x=2+x+6+−5x
−4x+7=(x+−5x)+(2+6)(Combine Like Terms)
−4x+7=−4x+8
−4x+7=−4x+8
Step 2: Add 4x to both sides.
−4x+7+4x=−4x+8+4x
7=8
Step 3: Subtract 7 from both sides.
7−7=8−7
0=1
Answer:
5x-4x+2x=6
We move all terms to the left:
5x-4x+2x-(6)=0
We add all the numbers together, and all the variables
3x-6=0
We move all terms containing x to the left, all other terms to the right
3x=6
x=6/3
x=2
Step-by-step explanation:
please help idk how to do this hdhhhhdh
Answer:
d: c=16f
Step-by-step explanation:
Answer:
Step-by-step explanation:
c=16f
Hi Help me with this please :)
Answer:
4
Step-by-step explanation:
to find the mean you add up all of the numbers and then divide by the numbr of numbers there are. So to add them all up that will be 3+5+0+4+7+5+5+3=32
so then you divide 32 by 8 which equals 4.
So therefore your answer is 4.
Please give me brainliest.
Which one is it???????
Answer:
up 6
mayby
.........
Answer:
Left 6 is the answer
Step-by-step explanation:
You must move it in the left to be able to solve it
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
It is A
Step-by-step explanation:
In a student president race student A received 9 votes received by student B if student A received 540 votes, how many votes did student B receive?
Answer: 60 Votes
Step-by-step explanation:
540 divded by 9 which equals 60 votes.
So Student B received 60 votes.
60 votes was received by student B.
540/9=60
Sally purchased a lawn mower for $10,000. The salvage value at the end of its
seven year useful life will be $2,000. What is the annual depreciation? *
Answer:
Roughly
1143$ annually
But if you want exact then its
1142.857143$
Step-by-step explanation:
Abigail wants to attend a community college. Suppose x represents the number of credits she takes and y represents her total fees in dollars. Which of these statements are correct? Select all that apply.
A.
If tuition amounts to $125 plus $150 per credit, the function that would model this situation is y = 150x + 125.
B.
If tuition amounts to $200 plus $175 per credit, the function that would model this situation is x = 175y + 200.
C.
If tuition amounts to $175 plus $150 per credit, the function that would model this situation is y = 175x + 150.
D.
If tuition amounts to $250 plus $275 per credit, the function that would model this situation is x = 250y + 275.
E.
If tuition amounts to $225 plus $200 per credit, the function that would model this situation is y = 200x + 225.
F.
If tuition amounts to $100 plus $125 per credit, the function that would model this situation is y = 125x + 100.
Answer:
Option A
Option E
Option F
Step-by-step explanation:
Let y = total cost
x = number of credits
the tuition is a fixed cost
First notice that y, the total cost, is a function of x credits In all the answer choices, y therefore should be on the left side and an expression involving x on the right side
Eliminate Options B and D
Analyze the remaining options
Option A √
x credits will cost her $125x
To this we have to add the fixed cost of tuition = $125
Total cost = 150x + 125
which can be expressed as
y = 150x + 125
Correct choice
Option C X
Using the reasoning provided in Option A
x credits cost = 150x
Fixed tuition cost = 175
So total cost
y = 150x + 175 and not y = 175x + 150
Incorrect choice
Option E √
y = 200x + 225 is correct for this situation
Option F √
y = 125x + 100 is correct