Answer:
24
Step-by-step explanat
Divide both the numerator and denominator by the GCD
1032 ÷ 43
43 ÷ 43
Reduced fraction:
24
1
Therefore, 1032/43 simplified to lowest terms is 24/1.
since yall are smart uh i need help so
What is the difference between the 15th square number and the 3rd square number?
Answer:
216
Step-by-step explanation:
15^2=225
3^2=9
225-9=216
5 m 7 cm + 1m =
please help my and be sure to like❤❤
Answer:
6.07 meters
Step-by-step explanation:
⭐
When performing a statistical analysis, why do we usually work with a sample rather than an entire population?
Select one:
a. The p-values only work with samples, not populations.
b. A t-test doesn't produce results when a population is used.
c. We don't work with samples, we only work with entire populations.
d. We often lack the manpower and resources to gather an entire population for a statistical analysis
When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.
Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.
So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.
So, option D is the correct answer.
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Find g(1) if g(x) = x2 +1.
O 3
O 4
O 2
Answer:
O 2
Step-by-step explanation:
light shines from the top of a pole 30 ft high. a ball is dropped from the same height from a point 20 ft away from the light. how fast is the shadow of the ball moving along the ground 1 sec later? (assume the ball falls a distance s
The shadow of the ball moving over the ground at 150 feet per second after 1 second.
How can I determine the shadow of the ball's speed?
Assuming the ball drops the distance indicated by this sentence:
S = 16t²
Additionally, the height (h) of the ball's shadow one second later is provided by
h = 30 - S
The term for the shadow of the ball would then be as follows:
OX/30 = (20 + XQ)/30 = XQ/h
30XQ = 20h + hXQ
20h = 30XQ - hXQ
20h = (30 - h)XQ
XQ = 20h/(30 - h)
Substituting the value of h, we have:
XQ = 20(30 - S)/(30 - 30 - S)
Substituting the value of S, we have:
XQ = 20(30 - 16t²)/(30 - 30 - 16t²)
XQ = 20(30 - 16t²)/16t²
XQ = (600 - 320t²)/16t²
XQ = 600/16t² - 320t²/16t²
XQ = 600/16t² - 20
Differentiating with respect to t, we have:
d(XQ)/dt = 600/16t² - 20
d(XQ)/dt = 600 (-64t/(16t²)²)
d(XQ)/dt = 600 (-64t/256t⁴)
d(XQ)/dt = 600 (-0.5/2t³)
d(XQ)/dt = -300/2t³
Then,
At t = 1, we have:
Speed = 300/2(1)
Speed = 150 ft/s.
That is,
After one second the ball's shadow was travelling over the ground at a speed of 150 feet per second.
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Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? 6. 75 4. 50 2. 25 9. 0.
Answer:
The answer is a.) 6.75
Explanation:
I got it right on my quiz :)
in a particular class of 35 students, 10 are men. What fraction of the students in the class are men?
Answer:
2/7
Step-by-step explanation:
put the total number of boys over the total number of stuedents
10/35 then simplify by dividing top and bottom by 5 2/7
Answer:
2/7
Step-by-step explanation:
10/35
reduce fraction
10÷5=2
35÷5=7
What is 6r-6r^2 simplified?
Answer:
I would just rewrite it as -6r^2 + 6r
a biologist studying florida bass observed a quadratic relationship between the lengths and weights of fish in a large sample. the biologist took the base 101010 logarithm for the values of both variables, and they noticed a linear relationship in the transformed data. here's the least-squares regression equation for the transformed data, where weight is in kilograms and length is in centimeters. \widehat{\log(\text{weight})}
Answer:
We're given a least-squares regression equation that we can use to predict weight (in kilograms) from a given length (in centimeters). The question asks to predict the weight of a fish that is 70cm long, so let's plug in 70 for "length" and solve for the predicted weight: logweight = 3.08 (log length) -5.07
(logweight) 3.08 (log 70) - 5.07
(logweight) ≈ 3.08 (1.84) - 5.07
log weight ≈ 0.613
Next, we use the fact that these are base 10 logarithms and the definition of a logarithm to solve for the predicted weight:
log₁₀ (weight) ≈ 0.613
Taking logarithms on both sides
weight ≈ 10₀.₆₁₃
weight ≈ 4.1
According to this model, the predicted weight for a 70 cm long Florida bass is about 4.1kg.
Problem 1: You may assume that the messages are written in lower-case letters. The frequency table has 30-lines, where each line contains a letter (or a special character) followed by a space and a positive integer (string of digits). For the simplicity purposes, the only special characters are: `-' for space, `.' for period, `!' for new line, and `+' for end-of-message.
Problem 2: When I input the paragraph it only read the first line. How do I make that read all the paragraph line from a text file.
The code opens the file "paragraph.txt" in read mode, reads its contents using the `read()` method, and assigns the result to the `paragraph` variable. ```python
paragraph = open("paragraph.txt", "r").read()
```
Problem 1: To solve the problem, use a dictionary data structure to store the frequencies of each letter or special character. Here's an example implementation in Python:
```python
def build_frequency_table(frequency_data):
frequency_table = {}
for line in frequency_data:
letter, frequency = line.split()
frequency_table[letter] = int(frequency)
return frequency_table
# Example usage:
frequency_data = [
"a 10",
"b 5",
"c 3",
"-" 15,
"." 8,
"!" 4,
"+" 1
]
frequency_table = build_frequency_table(frequency_data)
print(frequency_table)
```
In this example, the `build_frequency_table` function takes the `frequency_data` as input, which is a list of strings representing the frequency information for each character. It splits each line by the space character, extracts the letter and frequency, and adds them to the `frequency_table` dictionary. The function returns the resulting frequency table.
Problem 2: To read all the lines of a paragraph from a text file, you can use the `readlines()` method of a file object. Here's an example:
```python
filename = "paragraph.txt" # Replace with the actual filename
with open(filename, "r") as file:
paragraph_lines = file.readlines()
for line in paragraph_lines:
print(line)
```
In this example, the `paragraph.txt` file is opened in read mode using the `open()` function. The `readlines()` method is then used to read all the lines from the file and store them in the `paragraph_lines` list. Finally, you can iterate over the `paragraph_lines` list to process each line individually.
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describe a linear program whose solution describes the largest axis-aligned square that lies entirely inside p.
To describe a linear program for finding the largest axis-aligned square that lies entirely inside a polygon (p), we can define the decision variables, objective function, and constraints as follows:
Decision Variables:
Let x be the side length of the square.
Objective Function:
Maximize x. The objective is to find the largest possible side length for the square.
Constraints:
Square Within Polygon Constraint:
For each vertex (xᵢ, yᵢ) of the polygon p, we can define the following set of inequalities:
xᵢ ≤ x, for all vertices of the polygon.
These inequalities ensure that the square lies entirely within the polygon.
Square Symmetry Constraint:
To ensure that the square is axis-aligned, we can impose symmetry constraints. For example, if the coordinates of the center of the square are (c_x, c_y), then we can add the following constraints:
c_x ± (x/2) = constant, for fixed values of c_x.
c_y ± (x/2) = constant, for fixed values of c_y.
These constraints ensure that the sides of the square are parallel to the x and y axes.
Non-Negative Constraint:
x ≥ 0, to ensure a non-negative side length for the square.
By formulating and solving this linear program, we can find the optimal value for x, which represents the largest axis-aligned square that lies entirely within the given polygon p.
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The following table shows the relationship between weight and calories burned per minute for five people. Weight (in pounds) Calories burnod por minuto
112 725
129 9.15 150 9.85 174 10.25 182 11.75 Mean 149.4 9.65 Standard Deviation 29.51 1.64 Weight is the explanatory variable and has a mean of 149.4 and a standard deviation of 29.51. Calories burned per minute is the response variable and has a mean of 9.65 and a standard deviation of 1.64 The correlation was found to be 0.944. Select the correct slope and y-intercept for the least-squares line. Answer choices are rounded to the hundredths place
The slope for the least-squares line is 0.067 and the y-intercept is 2.63.
To find the slope and y-intercept for the least-squares line, we will use the given correlation coefficient (0.944), the means, and standard deviations of both the explanatory and response variables.
Slope (b1) = r * (Sy/Sx)
where r is the correlation coefficient, Sy is the standard deviation of the response variable, and Sx is the standard deviation of the explanatory variable.
Slope (b1) = 0.944 * (1.64/29.51) = 0.0522 (rounded to the hundredths place)
Next, we find the y-intercept (b0) using the following formula:
Y-intercept (b0) = Ymean - (b1 * Xmean)
where Ymean is the mean of the response variable and Xmean is the mean of the explanatory variable.
Y-intercept (b0) = 9.65 - (0.0522 * 149.4) = 1.88 (rounded to the hundredths place)
So, the correct slope and y-intercept for the least-squares line are 0.0522 and 1.88, respectively.
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provide an appropriate response. the length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.
By the distribution,6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
Given that,
Finding a parking spot in the library parking lot takes college students an average of 7.0 minutes, with a standard deviation of 1 minute, according to a normal distribution.
Find the window of opportunity that 75.8% of college students miss when looking for a place in the library parking lot.
The following formula calculates the z-score of a measure X of a normally distributed variable with mean μ and standard deviationσ:
Z=(X-μ)/σ
The z-score calculates how far the measure deviates from the mean by standard deviation.
The p-value for this z-score, which is the percentile of X, can be obtained by looking at the z-score table.
The cut-off time is the 100th percentile minus 75.8th percentile, or X, for Z = -0.7, so:
Z=(X-μ)/σ
-0.7=(X-7)/1
-0.7=X-7
X=-0.7+7
X=6.3
Therefore, 6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
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help me plzzzzzzzzzzzzzzz
Answer:
1mil
Step-by-step explanation:
Solve for y 7y-26=2(y+2)
Answer:
6!
The answer would be 6 when it comes to these types of math problems.
Answer:
y=6
Step-by-step explanation:
7y-26=2(y+2) multiply 2 times y+2
7y-26=2y+4 add 26 to the right and subtract 2y to the left
5y=30 divide by 5
y=6
Which equation shows the product 2.4 x 10?
PLZ HELP :(
Answer:
24Step-by-step explanation:
\(2.4\times\:10\\\)
Multiply without the decimal points then put the decimal point in the answer
\(24\times\:10=240\\\)
2.4 has 1 decimal place
10 has 0 decimal places
Therefore, the answer has 1 decimal place
\(\\=24.0\\\\=24\)
The value product of 2.4 × 10 will be 24.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 2.4 × 10
Now,
Since, The expression is,
⇒ 2.4 × 10
After multiply, we get;
⇒ 2.4 × 10 = 24
Thus, The value = 24
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prove that any nonzero rational number may be written as the product of two irrational numbers.
If r is a nonzero rational number, then r is a product of two irrational numbers.
If q≠0 is rational and y is irrational, then qy is irrational.
: You know that if G
is a group and H≠G
is one of its subgroups then h∈H
and y∈G∖H
implies that hy∈G∖H
Proof: suppose hy∈H
You know that h−1∈H, and therefore y=h−1(hy)∈H
Contradiction
In our case, we have the group (R∗,⋅) and its proper subgroup (Q∗,⋅). By the arguments above q∈Q∗ and y∈R∖Q implies qy∈R∖Q
.
Simply multiply it by the square root of two to obtain an irrational number. A product of two irrational numbers, your original number is obtained by multiplying this irrational number by the square root of two, which is itself irrational.
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please help me I have to submit it tomorrow I will give brilliant to the one who solves it
a. Income tax is the amount of money that an individual is required to pay to the government based on their income.
b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.
c. Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.
How do we calculate?a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income. found using a specific tax rate applied to different income brackets.
b.
Monthly income = Salary + Dearness allowance
= Rs 43,689 + Rs 2,000
= Rs 45,689
Total income for 13 months = Monthly income * 13
= Rs 45,689 * 13
= Rs 593,857
c.
Total income after deducting citizens' investment fund = Total income - Investment amount
= Rs 593,857 - Rs 2000
= Rs 591,857
Hence, the income tax based on the revised total income is:
Tax for income upto 5 lakh which is 1% of the income
= 0.01 * 500000
= Rs 5,000
Tax for income from 5-7 lakh which is the 10% of the income
= 0.1 * 200000
= Rs 20,000
The Tax for income from 7-10 lakh: 20% of the income
= 0.2 * 300000
= Rs 60,000
The Tax for income from 10-20 lakh is 30% of the income
= 0.3 * 0
= Rs 0
The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0
= Rs 85,000
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In this figure BAE = DEA. Which statement is true by CPCTC?
BEA=BEC
GAE=GFA
DGE=FGA
FGB=FGE
Answer:
Step-by-step explanation:
what is a perfect square trinomial and can you provide an example
A perfect square trinomial is a trinomial that factors as two identical binomials.
For example, x² + 8x + 16 factors as (x + 4)(x + 4) or (x + 4)².
Another example would be x² - 12x - 36 which factors as (x - 6)².
Graph the following system of inequalities.
y<2x+1
y<-x-1
9514 1404 393
Answer:
X.
Step-by-step explanation:
The inequalities tell you the graph is below a solid line that goes up to the right, and below a dashed line that goes down to the left. The upward sloping line has a slope of 2, so is steeper than the downward sloping line that has a slope of -1.
The colored portion will be in the bottom quarter of the X made by the crossing lines. The appropriate graph is X.
The area of this rectangle is given by the quadratic function
A = 50W - W2
.
What is the reasonable domain for this function?
The reasonable domain for this function is 0 < x < 50
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
A = 50W - W2
The area of a rectangle cannot be negative;
The practical domain of A is determined when;
50W-W^2>0
Taking common factor W
W(50-W)>0
Since W must be positive W>0
50-W>0
Or equivalently
50>w
W<50
The total interval is
0<W<50
Therefore, the domain of the function will be 0 < x < 50
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Help me solve this problem please
Answer:
b
Step-by-step explanation:
Which of the following are the two most commonly used measures of variability? O a. Variance and mode b. Mean and range O c Variance and standard deviation O d. Sample mean, and sample variance
The two most commonly used measures of variability are variance and standard deviation.
1. Variance: Variance measures how spread out a set of data points is from the mean. It calculates the average of the squared differences between each data point and the mean. The formula for variance is sum of squared differences divided by the number of data points.
Example: Let's say we have a set of data points: 2, 4, 6, 8, and 10. The mean of these data points is 6. The differences between each data point and the mean are: -4, -2, 0, 2, and 4. Squaring these differences gives us: 16, 4, 0, 4, and 16. The sum of these squared differences is 40. Dividing this sum by the number of data points (5) gives us a variance of 8.
2. Standard Deviation: Standard deviation is the square root of variance. It measures the average distance between each data point and the mean. Standard deviation is often preferred over variance because it is in the same unit as the data points, making it easier to interpret.
Example: Using the same set of data points as above, the variance is 8. Taking the square root of 8 gives us a standard deviation of approximately 2.83.
In summary, variance measures how spread out the data points are from the mean, while standard deviation gives us a more intuitive understanding of the variability by providing a measure in the same unit as the data points. These measures help us understand how the data is distributed and how much it deviates from the average.
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Ms. Lynch has 21 coins in nickels and dimes.
Their total value is $1.65. How many of each
coin does she have?
Answer:
Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.
first correct answer will get brainliest
Find x
Answer:
34
Step-by-step explanation:
First you see that 112* in a straight line? The supplementary angle to that 112 degree is 180-112=68
Then you can tell that the triangle on the right has 2 angles 38 degrees and 40 degrees. So, the remaining angle is 180-78=102 degrees.
The left triangle with x + 68 + 78 = 180
Therefore angle x is 34
jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. the average number of visits on the website for 5 weeks is given in the table below. number of weeks avg. number of visits 0 48,000 1 24,000 2 12,000 3 6,000 4 3,000 5 1,500 the percent decrease in the average number of visits each week since the end of the season was
Jim wants to calculate the percent decrease in the average number of visits each week since the end of the season. The first week after the season ends had an average of 48,000 visits, while the last week had an average of 1,500 visits.
To calculate the percent decrease in the average number of visits each week, Jim can use the following formula:
percent decrease = ((initial value - final value) / initial value) x 100%
For the given table, the initial value is 48,000 visits and the final value is 1,500 visits. Using the formula, the percent decrease in the average number of visits each week since the end of the season is:
percent decrease = ((48,000 - 1,500) / 48,000) x 100% = 96.875%
Therefore, the average number of visits on the website decreased by approximately 96.875% each week since the end of the season. This significant decrease in traffic could be due to the end of the season, lack of new content on the website, or other factors that may have affected the interest of visitors.
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PLZZZ HELPPP!!!!!!!!!!
Hello!
\(\large\boxed{2x + y = 3}\)
Begin by finding the slope that would be perpendicular to the given equation.
A perpendicular line has a slope that is the opposite reciprocal of the original. Therefore:
1/2 --> -2
Find the answer choice that contains a slope of -2 when rewritten in the form y = mx + b:
Choice 1:
x + 2y = 2
Move x to the other side:
2y = -x + 2
Divide both sides by 2:
y = -1/2x + 1. This choice is incorrect.
Choice 2:
x - 2y = -12
Move x to the other side:
-2y = -x - 12
Divide both sides by -2:
y = 1/2x + 6. This choice is incorrect.
Choice 3:
2x + y = 3
Move 2x to the other side:
y = -2x + 3. This contains a slope of -2, which is correct.
Choice 4:
y - 2x = -5
Move -2x to the opposite side:
y = 2x - 5. This contains a slope of positive 2, so it is incorrect.
The correct answer is 2x + y = 3.
Answer:
D. y-2x=-5
Step-by-step explanation:
What is the measure of angle R? *
7 points
R
(10n + 19)"
(12n - 4)
S
Answer:
(10n + 19) (12n - 4)º ... The midsegment of a trapezoid is parallel to each base and its measure is one half the ...
Missing: pointsR( S
Step-by-step explanation:
If you want to save enough money today to end up with $5000 one year from now, and the interest rate is 1.75%, how much money do you have to save today? Round your answer to the nearest dollar. Do not include a dollar sign in your answer.
The amount of money you need to save today is $4,926.
To calculate the amount of money you need to save today, you can use the formula for calculating future value with compound interest:
Future Value = Present Value * \((1 + Interest Rate)^T^i^m^e\)
In this case, the future value is $5,000, the interest rate is 1.75% (or 0.0175), and the time is 1 year. We need to solve for the present value.
Rearranging the formula, we have:
Present Value = Future Value /\((1 + Interest Rate)^T^i^m^e\)
Plugging in the values, we get:
Present Value = $5,000 / \((1 + 0.0175)^1\)
Present Value = $4,926
Therefore, you need to save $4,926 today in order to have $5,000 one year from now.
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