Answer:
\(n = 3\)
Step-by-step explanation:
\( {p}^{3} {q}^{2} ( \frac{ {p}^{4} {q}^{n} {r}^{3} }{ {r}^{ - 4} } ) = {p}^{7 } {q}^{5} {r}^{7} \\ {p}^{7} {q}^{2 + n} {r}^{7} = {p}^{7} {q}^{5} {r}^{7} \\ {q}^{2 + n} = {q}^{5} \\ 2 + n = 5 \\ n = 5 - 2 \\ n = 3 \)
corey bought 2122 start fraction, 1, divided by, 2, end fraction liters of paint for $60\$60$60dollar sign, 60. what was the cost per liter of paint?
Answer:
the cost per liter of the paint is equal to 24 8/liter
Hope this helps :)
find the value of given expression
\( \sqrt{99 \times 33 \times 3} \)
Answer:
√{99×33×3}=√{33×3×33×3}=√(33²×3²)=±33×3=±99
Answer:
99
Step-by-step explanation:
Cause 33×3=99 ,and the function of the root is to get the number that we multiply it ti itself
For example \(\sqrt{4}\) =2 cause 2×2=4 ,so\(\sqrt{2*2}\) =\(\sqrt{4}\) which is =2
so \(\sqrt{99^{2} }\) =99
In 2023 the college tuition at a state university was $8,000. Each year the tuition
rises by 3%. In what year will the tuition reach $10,000?
By using the concept of interest, we can calculate the year in which the tuition will reach $10,000 as 2027
Interest is the extra money you pay for borrowing money or for an investment, and it accumulates over time.
In this case, the interest rate is 3%, so the total tuition increases by 3% each year. To calculate the year in which tuition will reach $10,000, we will need to use the following formula:
Interest = (principal × rate × time) / 100.
The principal is $8,000, the rate is 3%, and the time is the number of years it takes for the tuition to reach $10,000. Thus, the equation becomes:
Interest = (8000 × 0.03 × time) / 100.
We can solve for time by multiplying both sides of the equation by 100 and dividing by 240. This gives us the following result:
Time = ($10,000 - $8,000) / (0.03 × $8,000) = 4.17 years.
Therefore, the tuition will reach $10,000 in
(2023 + 4.17) = 2027
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Which of the following methods is best way to calculate the p- value of the hypothesis test evaluating if Paul the Octopus' predictions are unusually higher than random guessing? (a) Flip a coin & times, record the proportion of times where all 8 tosses were heads. Repeat this many times, and calculate the proportion of simulations where all & tosses were heads_ (b) Roll a die & times, record the proportion of times where all 8 rolls were 6s. Repeat this many times, and calculate the proportion of simulations where all 8 rolls were 6s. (c) Flip a coin 10,000 times, record the proportion of heads. Repeat this many times, and calculate the proportion of simulations where more than 50% of tosses are heads.
Given statement solution :- (a) Pauls Octopus method is the most appropriate because it mimics the experimental setup for Paul the Octopus' predictions. Paul had a binary choice between two options, similar to a coin flip. By using this method, we can simulate the probability of getting all predictions correct by chance alone, assuming that Paul's success rate is no better than random guessing.
(b) rolling a die 8 times and recording the proportion of times where all 8 rolls were 6s - is not appropriate because it does not mimic the experimental setup for Paul the Octopus' predictions. Rolling a die has six possible outcomes, which is not comparable to Paul's binary choice.
(c) flipping a coin 10,000 times and recording the proportion of heads - is also not appropriate because it does not directly relate to the hypothesis test being conducted. While it is important to determine the probability of getting a certain number of heads or tails in a coin flip, it does not mimic the experimental setup for Paul the Octopus' predictions.
The best way to calculate the p-value for the hypothesis test evaluating if Paul the Octopus' predictions are unusually higher than random guessing would be option (a) - flip a coin 8 times, record the proportion of times where all 8 tosses were heads, repeat this many times, and calculate the proportion of simulations where all 8 tosses were heads.
This method is the most appropriate because it mimics the experimental setup for Paul the Octopus' predictions. Paul had a binary choice between two options, similar to a coin flip. By using this method, we can simulate the probability of getting all predictions correct by chance alone, assuming that Paul's success rate is no better than random guessing.
Option (b) - rolling a die 8 times and recording the proportion of times where all 8 rolls were 6s - is not appropriate because it does not mimic the experimental setup for Paul the Octopus' predictions. Rolling a die has six possible outcomes, which is not comparable to Paul's binary choice.
Option (c) - flipping a coin 10,000 times and recording the proportion of heads - is also not appropriate because it does not directly relate to the hypothesis test being conducted. While it is important to determine the probability of getting a certain number of heads or tails in a coin flip, it does not mimic the experimental setup for Paul the Octopus' predictions.
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A bag contains 5 red marbles, 6 white marbles, and 5 blue marbles. You draw two
marbles, one at a time, without replacement. Find P(red and blue)
Answer:
(5C1 *6C1)/(17C2)
15/68
Step-by-step explanation:
Find the geometric mean for 64 and 25
Answer:
40
Step-by-step explanation:
The geometric mean will equal the square root of the product of the two numbers.
√64 * √25
8 * 5 = 40
A 55.9-kg hiker ascends a 46.6-meter high hill at a constant speed of 1.0 m/s. If it takes 373 s to climb the hill, then determine the power delivered by the hiker.
Step 1
State formula for Power
\(\begin{gathered} \text{Power =}\frac{work}{\Delta time} \\ \text{But work = Force(F)}\times Dis\tan ce(S)\text{ for rectilinear motion} \\ \end{gathered}\)Hence,
\(\begin{gathered} \text{Power}=\frac{F\times S}{\Delta Time(t)} \\ \text{Also Force(F) for rectilinear motion}=\text{Mass(M)}\times acceleration(a) \\ \text{Hence,} \\ \text{Power}=\text{ }\frac{M\times a\times S}{\Delta t} \end{gathered}\)Step 2
Determine the power delivered by the hiker.
\(\begin{gathered} \text{Power}=\frac{M\times a\times S}{\Delta t} \\ M=\text{mass = 55.9kg} \\ a=\text{ rectilinear acc}eleration\text{ = 1.0m/s} \\ S=\text{distance}=46.6m \\ \Delta t=373s \end{gathered}\)\(\begin{gathered} \text{Power}=\frac{55.9\times1.0\times46.6}{373} \\ \end{gathered}\)\(\begin{gathered} \text{Power}=6.983753351 \\ \text{Power }\approx\text{ 6.984 Joules(J)/Seconds(s) or Watts(w) to 3 decimal places} \\ \end{gathered}\)Hence the power delivered by the hiker to 3 decimal places is approximately 6.984 J/s or watts
Lin gets paid 18 dollars every 1 hour at this rate, how much would Lin be paid for 3 hours of work? For 2.1 hours of work HELP ME FREE BRAINLYEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!^_^
Answer: For three hours of work, she'll get paid $54. For 2.1 hours of work she'll get paid $37.8
Hope this helps you.
Answer:
$54, $37.8
Step-by-step explanation:
3 hrs=$54, 2.1 hrs=$37.8
can i have brainlyest please
I want to build a rectangular garden so that the length is 45 meters more than twice the width. I have 1350 meters of fencing available. What dimensions should I make the garden?
Answer:
Step-by-step explanation:
Let's start by defining the variables for the problem. Let's say that:
w = the width of the rectangular garden (in meters)
l = the length of the rectangular garden (in meters)
We know that the length is 45 meters more than twice the width, so we can write:
l = 2w + 45
We also know that we have 1350 meters of fencing available to enclose the rectangular garden. The perimeter of the rectangular garden is equal to the sum of the lengths of all four sides. Since there are two sides of length w and two sides of length l, we can write:
Perimeter = 2w + 2l
Substituting the expression for l that we derived earlier, we get:
Perimeter = 2w + 2(2w + 45)
Perimeter = 6w + 90
We know that the perimeter of the rectangular garden is equal to 1350 meters, so we can write:
1350 = 6w + 90
Solving for w, we get:
6w = 1260
w = 210
Now that we know the value of w, we can use the expression for l that we derived earlier to find the length:
l = 2w + 45
l = 2(210) + 45
l = 465
Therefore, the dimensions of the rectangular garden should be 210 meters by 465 meters.
HELP ME PLEASE!!!!!!!!!!!!!
A hospital found that a lower outside temperature indicates a higher number of patient visits. What can we determine from this information?
There is no correlation between outside temperature and number of patient visits.
There is a correlation between outside temperature and number of patient visits. However, there is no causation. This is because there is an increase in the number of patient visits with a decrease in the temperature outside.
There is a correlation between outside temperature and number of patient visits. There may or may not be causation. Further studies would have to be done to determine this.
Answer:
negative correlation
Step-by-step explanation:
Asked my teacher
A researcher wants to set up a regression equation where Y is a function X. Evaluate the researcher’s options given the following scenarios: (3)
i. Y is I(0); X is I(0)
ii. Y is I(2); X is I(0)
iii. Y is I(1); X is I(1); and the error term is I(0).
The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.
In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.
In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.
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3√1728=?
Don't report me
Jordan please keep fighting for me.
Answer:
The answer is 12
Step-by-step explanation:
trust
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!i need itHow would you begin to plot the ordered pair ( 6,2)?
Two separate pairs of binary stars are observed. The separation of the pairs is identical, but the orbital period of Pair X is 4 times the orbital period of Pair Y. How does the total mass of the stars in Pair X compare to the total mass of the stars in Pair Y
The total mass of the stars in Pair X is 16 times the total mass of the stars in Pair Y. This means that Pair X has a significantly greater total mass compared to Pair Y.
To understand why, let's consider the relationship between orbital period and total mass in binary star systems. According to Kepler's Third Law of Planetary Motion, the square of the orbital period (T) is proportional to the cube of the semi-major axis (a) of the orbit. Since the separation of the pairs is identical, we can assume that the semi-major axes are the same for both pairs.
Given that the orbital period of Pair X is 4 times that of Pair Y, the square of the orbital period of Pair X (T_x^2) is 16 times the square of the orbital period of Pair Y (T_y^2). Since the semi-major axes are the same for both pairs, the ratio of the total masses (M_x/M_y) will be the square root of the ratio of the orbital periods (T_x/T_y). Therefore, (M_x/M_y) = sqrt(T_x/T_y) = sqrt(4) = 2.
This implies that the total mass of Pair X is 2 times the total mass of Pair Y. Since the total mass of Pair X is 16 times the total mass of Pair Y, we can conclude that Pair X has a total mass that is 16 times greater than Pair Y.
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In a class of 28 students, 15 earned an A on the final exam, 10 earned an A for the entire course, and 7 earned an A for both final exam and the entire course. What is the probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course?
Using it's concept, it is found that there is a 0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that 13 out of 28 students did not earn an A on the final course, and 21 out of 28 students did not earn an A for the entire course, hence:
\(p = \frac{13}{28} \times \frac{21}{28} = 0.3482\)
0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.
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a regression model in which more than one independent variable is used to predict the dependent variable is called
A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.
Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.
Multiple Linear Regression - Formula
Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈
Where:
Yi is the dependent or predicted variable
β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.
β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.
βp is the slope coefficient for each independent variable.
∈ is the model’s random error (residual) term.
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2200 people attend a football game. If 3/4 of those who came were not season ticket holders, how many were
The frequency of occurrence of something within a specifically defined area is the.
The frequency of a phenomenon in a given study area is known as density.
Mass per unit volume is the definition of a material's density. Density, or mass per unit volume, is defined as the ratio of mass to volume. It gauges how much "stuff" an object contains in relation to its volume (cubic meter or cubic centimeter).
A measurement of density contrasts the mass of an object with its volume. High density refers to the amount of matter in a given volume of an object. A low density is an object with little substance in the same volume.
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pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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If the volume of a cylinder 30 cm high 4620cm^3 find radius
Answer:
7 cm to 1 decimal place
Step-by-step explanation:
We need to know one formula in order to solve this question and it's the volume of a cylinder formula which is π × r² × h where 'r' is the radius and 'h' is the height, we want to work out the radius not the volume so we have to set up an equation to solve for the radius given the information that the volume of the cylinder is 4620 cm³ and the height is 30cm so
→ Step 1 form the equation
π × r² × h = 4620
→ Step 2, substitute in the values in this case we only need to substitute in the height
π × r² × 30 = 4620
→ Step 3, divide 30 from both sides to isolate π and r²
π × r² = 154
→ Step 4, divide both sides by π to isolate r²
r² = 154 ÷ π
r² = 49.0197224723
→ Step 5, square root both sides to isolate 'r'
r = 7.0014086063
So the radius of the cylinder is 7 cm to 1 decimal place
Answer:
7.00 cm.
Step-by-step explanation:
V = π r^2 h so
r^2 = V / π h
r = +√(V / πh)
r = +√( 4620 / 30π)
r = 7 .00cm.
Enter an equation and an answer to the following question (express the answer as a percent to the hundredths place): if an item has a retail price = $475 and a discount of $45, what percentage discount is offered?
On solving the provided question, we can say that - the by discount equation we got is , discount will be equal to 45/475 X 100 = 9.5
What is equation?An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.
here,
the equation we got is
retail price = $475
discount = $45
% discount will be = 45/475 X 100 = 9.5
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Someone please help me!!!!!
1. Answer (D). By the law of sines, we have \(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\) in any \(\triangle ABC.\)
2. Answer (C). The law of cosines, \(c^2=a^2+b^2-2ab\cos C,\)accepts up to three sides and an angle as an input.
3. Answer (D). Although this triangle is right, we are not given enough information to uniquely determine its sides and angles - here, we need either one more side or one more angle.
4. Answer (D). Don't get tripped up by answer choice (C) - this is just a rearrangement of the statement of the law of cosines. In choice (D), the signs of \(a^2\) and \(2ab\cos C\) are reversed.
5. Answer (B). By the law of sines, we have \(\frac{5}{\sin 40^\circ}=\frac{3}{\sin\theta}.\) Solving gives \(\theta\approx \boxed{23^\circ},157^\circ.\) Note that this is the ambiguous (SSA) case of the law of sines, where the given measures could specify one triangle, two triangles, or none at all!
6. Answer (A). Since we know all three sides and none of the angles, starting with the law of sines will not help, so we begin with the law of cosines to find one angle; from there, we can use the law of sines to find the remaining angles.
write a method to print the fibonacci series up to given ‘n’ terms. example: if the value of n = 7; then it would print 0, 1, 1, 2, 3, 5 and 8
In this method, we first initialize the first two terms of the series as 'a' and 'b' respectively. We then print the first two terms separately. After that, we use a loop to generate and print the remaining terms of the series.
Here is a method in Python to print the Fibonacci series up to a given number of terms 'n':
```
def fibonacci(n):
# Initialize the first two terms of the series
a, b = 0, 1
# Print the first term
print(a)
# Print the second term
if n >= 2:
print(b)
# Generate and print the remaining terms
for i in range(2, n):
# Compute the next term in the series
c = a + b
# Update the values of a and b
a, b = b, c
# Print the next term
print(c)
```
Inside the loop, we first compute the next term of the series as the sum of the previous two terms (i.e. 'a' and 'b'). We then update the values of 'a' and 'b' to prepare for the next iteration. Finally, we print the next term of the series.
You can call this method with the desired value of 'n' to print the Fibonacci series up to the given number of terms. For example:
```
fibonacci(7)
```
This would print the Fibonacci series up to 7 terms: 0, 1, 1, 2, 3, 5, and 8.
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omg guyzzz where r u
Answer:
we are here, where have you been...???
Answer:
im at ur frien joe's house
Step-by-step explanation:
Four subtract M over nine equal eleven
Answer:
-95
Step-by-step explanation:
(4 - m) / 9 = 11
Multiply both sides by 9:
4 - m = 99
Subtract both sides by 4:
-m = 95
Multiply both sides by -1:
m = -95
Answer:
-63
Step-by-step explanation:
4 - M = 11
---
9
Bring the 4 to the opposite side of the variable ( bring the 4 to the other side of the = sign where it shows 11 or a different number with no variable. basically if you get a question problem for math like this, and when you see a variable aka a letter, move it to the other side where it doesn't have a letter, move it with the = sign then add or subtract. if the number that your moving away from the variable is positive, you subtract making it negative... but if you have a negative number, do adding instead. )
4 - 11 = -7
subtract and then you muliply
M
--- = -7
9
once you mulipled -7 x 9
your answer should be
M = -63
( Have a good day! )
Akin has some money in a box. If 3/8 of the money is 4. 80, how much does he have in the box
To find out how much Akin has in the box, we first need to find the value of one unit and by calculating Akin has 48 in the box.
Akin has 3/8 of money in his box. The value of 3/8 of money is 4.80. We need to find the total amount of money Akin has in his box. The given information is enough to calculate the total amount of money Akin has. We can calculate the total amount of money Akin has in two steps.Firstly, we need to find the value of one unit. The value of one unit is calculated by dividing the given value with its fraction. Here, the value of one unit can be calculated by dividing 4.80 by 3/8, which is
(4.80 x 8) / 3 = 12.
So, the value of one unit is 12.Secondly, we need to find out the total number of units in Akin’s box. Since 3/8 of the money is 4.80, 1/8 of the money is
(4.80 ÷ 3) × 1 = 1.60.
Therefore, the total number of units in the box is 4 units. So, the total value of the money in the box is:
Total value of the money in the box = Value of one unit × Total number of units= 12 × 4= 48
Therefore, Akin has 48 in the box.
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Identify the property that justifies the statement. OP = RS, RS= OP. Sym.
The property that justifies the statement "OP = RS, RS = OP" with "Sym" is symmetry. Symmetry refers to the property of an object or equation where it remains unchanged under certain transformations or operations.
In this case, if we reflect the circuit across the line of symmetry, the circuit will be exactly the same as the original circuit, except that the voltage source will be flipped over.
Therefore, if we take the voltage across the resistor (RS) and multiply it by the resistance of the voltage source (R), we will get the same result as if we take the voltage across the resistor (OP) and multiply it by the resistance of the resistor (R). This property is symmetric, and thus the statement "OP = RS, RS = OP" is true
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Answer:
Sym. Prop. of ≅ is the correct answer
Can someone pls help me with these!!!!
Answer:
I hope this helps, sorry for my hand writing
How do you find the solution(s) of a linear quadratic systems of inequalities?
When solving a system of linear inequalities we will follow these steps:
1. Determine the inequality for y.
2. Treat the inequality as a linear equation and graph the line as a solid or dashed line depending on the sign of the inequality.
a. If the inequality sign lacks an equals sign (or >), draw the line as a dashed line.
b. Draw the line as a solid line if the inequality sign contains an equals sign (or).
3. Highlight the area that satisfies the inequality.
4. Repeat steps 1 through 3 for each inequity.
5. The solution set will be the region where all the inequalities overlap.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, the solution to a linear quadratic systems of inequalities is illustrated above.
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North Carolina has 12 less electoral votes than Florida. Write and solve a subtraction equation to find the number of electoral votes for Florida
Answer: Let's use "x" to represent the number of electoral votes in Florida. Then, we can write the equation for North Carolina's number of electoral votes as "x - 12".
The equation can then be written as:
x + (x - 12) = total number of electoral votes
Solving for x, we get:
2x - 12 = total number of electoral votes
2x =total number of electoral votes + 12
2x = total number of electoral votes + 12
x = (total number of electoral votes + 12)/2
So, the number of electoral votes for Florida is (total number of electoral votes + 12)/2.
Note: The total number of electoral votes for both states needs to be known in order to solve for the number of electoral votes in Florida.
Step-by-step explanation: