Answer:
number one ×=30-4y/7
second one x=-4y/3+2
those are the answers I got hope it helps
the mean corporation operates out of two major cities, city a and city b. it has a head office for each city and each office has thousands of employees. a computer competency exam is administered to all staff in each head office and the results are recorded. the ceo decides that he would like to compare the performance of the two offices. he labels the two groups of staff city a and city b and looks at their distribution of scores.The CEO is told that both City A and City B have the same mean score. However, City A is ____consistent than City B because the standard deviation for City A is _____ than the standard deviation for City B.
Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.
Define standard deviation.Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.
Here,
It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."
If City A is more reliable than City B, then City A will have a lower standard deviation.
A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.
So, the appropriate answer is:
The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.
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a circle is inscribed in a equilateral triangle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
Answer:
60%
Step-by-step explanation:
Im almost positive this is right if not sorry have a blessed day :)
The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)
The equation that represents h(x) is h(x) = (f(x))(g(x)).
To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).
Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).
Let's examine the table and compare the values:
x | f(x) | g(x) | h(x)
1 | 3 | 4 | 12
2 | 5 | 2 | 10
3 | 2 | 6 | 12
From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).
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Answer:
It's B.
Step-by-step explanation:
Edge 2020.
There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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Please help and explain
Answer:
C
Step-by-step explanation:
I tend to remember the "U" symbol as meaning "or", whilst the "n" symbol means aNd.
using this method we can see that the question is asking us to find which diagram fills in a shade that is NOT x OR y.
Option A shades Y Option B shades X aNd Y (X n Y)Option D shades XSo therefore the answer must be C as it shades in all area that isn't X OR Y!
can you please help me
Answer:
i would say none of the above can i get brainlest
Step-by-step explanation:
If a tank leaks 10 mL of fluid each hour, how long will it take to fill up a one-litre jar?
10 hours
1,000 hours
1 hour
100 hours
Answer:
100 hours
Step-by-step explanation:
To find the amount of liters in one hour, you divide 10 by 1000, which gives 0.01 liters each hour. From here, the 1 is in the hundredths place, so if you multiply by 100 hours, if will be at 1 liter.
Consider the following problem of string edit using the dynamic programming technique. The string X= "a b a b" needs to be transformed into string Y= "b a b b"
(i) Create the dynamic programming matrix with alphabets of string ’X’ along the rows and alphabets of string ’Y’ along the column entries. Calculate the min cost entries for the full matrix. Give the detailed calculation of min cost for at least two entries of the matrix. (8 marks)
(ii) Calculate min cost solutions by tracing back the matrix entries from bottom right. (4 marks)
(i) The dynamic programming matrix with the min cost entries for the given strings is as follows: ''1 2 1 2 3; 2 1 2 1 2; 3 2 1 2 3; 4 3 2 1 2''. (ii) The min cost solutions by tracing back the matrix entries from bottom right are: Substitute 'a' at position 2 with 'b', Substitute 'a' at position 1 with 'a'.
(i) To create the dynamic programming matrix for string edit, we can use the Levenshtein distance algorithm. The matrix will have the alphabets of string X along the rows and the alphabets of string Y along the column entries.
First, let's create the initial matrix:
```
'' b a b b
---------------------
'' | 0 1 2 3 4
a | 1
b | 2
a | 3
b | 4
```
In this matrix, the blank '' represents the empty string.
To calculate the min cost entries, we will use the following rules:
1. If the characters in the current cell match, copy the cost from the diagonal cell (top-left).
2. If the characters don't match, find the minimum cost among three neighboring cells: the left cell (insertion), the top cell (deletion), and the top-left cell (substitution). Add 1 to the minimum cost and place it in the current cell.
Let's calculate the min cost for two entries in the matrix:
1. For the cell at row 'a' and column 'b':
The characters 'a' and 'b' don't match, so we need to find the minimum cost among the neighboring cells.
- Left cell: The cost is 2 (from the previous row).
- Top cell: The cost is 1 (from the previous column).
- Top-left cell: The cost is 0 (from the previous row and column).
The minimum cost is 0. Since the characters don't match, we add 1 to the minimum cost. Thus, the min cost for this cell is 1.
2. For the cell at row 'b' and column 'b':
The characters 'b' match, so we copy the cost from the top-left diagonal cell.
The min cost for this cell is 0.
We can continue calculating the min cost entries for the rest of the cells in a similar manner.
(ii) To trace back the matrix entries from the bottom right and calculate the min cost solutions, we start from the bottom-right cell and move towards the top-left cell.
Using the matrix from part (i), let's trace back the entries:
Starting from the cell at row 'a' and column 'b' (cost 1), we compare the neighboring cells:
- Left cell: Cost 2
- Top cell: Cost 3
- Top-left cell: Cost 0
The minimum cost is in the top-left cell, so we choose that path. We have performed a substitution operation, changing 'a' to 'b'. We move to the top-left cell.
Continuing the process, we compare the neighboring cells of the current cell:
- Left cell: Cost 1
- Top cell: Cost 2
- Top-left cell: Cost 0
Again, the minimum cost is in the top-left cell. We have performed a substitution operation, changing 'b' to 'a'. We move to the top-left cell.
We repeat this process until we reach the top-left cell of the matrix.
The complete sequence of operations to transform string X into string Y is as follows:
1. Substitute 'a' at position 2 with 'b': "a b a b" → "a b b b"
2. Substitute 'a' at position 1 with 'a': "a b b b" → "b a b b"
By following this sequence, we achieve the transformation from string X to string Y with the minimum cost.
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find the area of the region enclosed by one loop of the curve. r = sin(8θ)
π/32 is the area enclosed by the curve r= sin(8θ)
The given curve is polar curve and hence the area of the polar curve is given by:
Let A be the area of the curve so,
A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)
where a and b is the boundary at which r=0
so after equation r=0
sin(8θ) =0
=> sin(8θ) =0
=> 8θ = 0,π
=> θ = 0, π/8
so a=0 , b= π/8
now
A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\) ------(i)
so \(r^2\) = (sin(8θ))^2
=> \(sin^2\) ( 8θ )
ans we know that
cos(2α) = 1 - 2\(sin^2\) α
so \(r^2\) = (1- cos(16θ) )/2
putting the value of r in the equation (i) we get :-
A = \(\int\limits^a_b {\frac{1}{4} *(1-cos(16\alpha ) } \, d\alpha\)
=> 1/4* \(\int\limits^a_b {(1-cos(16\alpha ) } \, d\alpha\)
here a=0 and b=π/8
after putting the value and solving the integral
A = π/32
so A is the area enclosed by r=sin(8θ) is π/32
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a population of 1200 farm workers, aged 40-55 years, was examined in february 2000. of these workers, 800 were exposed to high levels of pesticide the rest were exposed to low levels of pesticide. at the physical examination, 230 cases of skin cancer were identified, including 185 cases among the high pesticide exposure group. all of the workers who were initially examined and did not have skin cancer were followed by repeat examinations over the next two years. these follow-up exams identified 175 new cases of skin cancer in the total group, including 25 cases among the low-exposure group. what is the incidence of skin cancer over the two years in the high exposure group?
The incidence of skin cancer over the two years in the high exposure group is 24.39%.
To calculate the incidence of skin cancer over the two years in the high exposure group, follow these steps:
1. Determine the number of workers in the high exposure group: 800 workers
2. Subtract the initial skin cancer cases in the high exposure group from the total number of workers in the group to find out the workers without skin cancer:
800 - 185 = 615 workers
3. Calculate the number of new skin cancer cases in the high exposure group by subtracting the new cases in the low-exposure group from the total new cases:
175 - 25 = 150 cases
4. Calculate the incidence rate by dividing the new cases in the high exposure group by the number of workers without skin cancer in the high exposure group:
150 / 615 ≈ 0.2439
5. Multiply the incidence rate by 100 to express it as a percentage:
0.2439 * 100 = 24.39%.
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A package weighs 32 ounces. What is the weight of the package in pounds
Answer:
2 pounds
Step-by-step explanation:
1 pound=16 ounces
A movie began at 3:12pm and ended at 5:10pm. Calculate the length of time the movie lasted (30 points
PLSS HELPP
Two numbers a and b are in the ratio 3 : 4. If the first number is decreased by 4 and the second is decreased by 2, they are in the ratio 2 : 3. Find a and b.
a =
b=
The value of a = 24 and b = 32. Let the original numbers be 3x and 4x since they are in the ratio 3 : 4.
Step 1: Form the new ratios after the given decreases.
The first number decreased by 4 becomes 3x - 4, and the second number decreased by 2 becomes 4x - 2. The new ratio is 2 : 3.
Step 2: Set up the equation based on the new ratios.
We have the following equation based on the new ratios:
(3x - 4) / (4x - 2) = 2 / 3
Step 3: Solve the equation for x.
To solve the equation, we can cross-multiply:
3(3x - 4) = 2(4x - 2)
Expand and simplify:
9x - 12 = 8x - 4
Now, isolate the variable on one side:
9x - 8x = 12 - 4
x = 8
Step 4: Find the values of a and b.
Now that we have the value of x, we can find the values of a and b:
a = 3x = 3 * 8 = 24
b = 4x = 4 * 8 = 32
So, a = 24 and b = 32.
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Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)
Answer:
=28n2−27n
Step-by-step explanation:
if x is a positive integer, r is the remainder when x is divided by 4, and r is the remainder when x is divided by 9, what is the greatest possible value of r2 r ?
As per the remainder that the greatest possible value of 17
The term remainder in math defined as if a number is not completely divisible by another number then we are left with a value once the division is done
Here we have if x is a positive integer, then r is the remainder when x is divided by 4 and r is the remainder when x is divided by 9.
As we all know that the remainder is always smaller than the divisor.
Here we have also know that it will be 0 if the dividend is evenly divisible or a positive integer less than the divisor.
So, when we divided by 4 then the largest remainder will be 3 and then here we have to divided by 9, then the largest remainder will be written as
=> r² + R = 32 + 8
=> 9 + 8 = 17
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Evaluate the expression when a= 3 and b = 43.
b-5a
Answer:
28
Step-by-step explanation:
Your friend is standing on a platform that's 9 feet tall. You are standing 12 feet away from the platform. You and
your friend each want to hold one end of a banner. How long does the banner have to be?
The banner have to be 15 feet long.
What is Pythagoras theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
Perpendicular - 12 feet
Base = 9 feet
Using Pythagoras theorem
H = √P² + B²
H = √12² + 9²
H = √144+ 81
H = √ 225
H= 15 feet
Hence, the banner have to be 15 feet long.
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Factor x² + 25x + 24 in standard form
Answer:
-1 , -24
Step-by-step explanation:
x*2 + x +24x +24
x(x+1) 24(x+1)
(x+24) (x+1)
x=-24. x=-1
Answer: (x+24)(x+1)
Step-by-step explanation:
Factor means to find 2 thing that multiply to the thing before.
x² + 25x + 24
In order to factor you need to find 2 numbers that multiply to the last term, +24 but adds to the middle term, +25.
24 and 1 multiply to +24 but also adds to +25
24 and 1 are you factor numbers that you will use to put into factored form.
(x+24)(x+1)
Which of the following describes the graph of y=3\sqrt[3]{27x-54}+5 compared to the parent cube root function?
Horizontal translation: 2 units right.
Vertical translation: 5 units up
Stretch/compression: stretched by a factor of 3.
Reflection: not reflected.
This recipe makes 4 pancakes.
Sanjay follows the recipe but wants to make 12 pancakes.
How much of each ingredient does he need?
Recipe: Makes 4
135 g flour
g
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg
2 tablespoons (tbsps) oil
Answer:
810 g flour
6 teaspoon (tsp) baking powder
12 tablespoons (tbsps) sugar
780 ml milk
6 egg
12 tablespoons (tbsps) oil
Step-by-step explanation:
24/4=6, so you need to multiply everything by six
Can someone please tell me the domain and Range of this graph?
A rectangle has a width of 12. 5 m and a length of 105 m. What is the effect on the perimeter when the dimensions are multiplied by 2? The perimeter is increased by a factor of 2. The perimeter is increased by a factor of 21. The perimeter is increased by a factor of 25. The perimeter is increased by a factor of 92.
The perimeter of the rectangle is got increased by a factor of 2. The correct option is A.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In rectangle opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.
Given
A rectangle has a width of 12.5 m and a length of 105 m.
We know the perimeter of the rectangle is given by
Perimeter = 2 (Lenght + Width)
Let x be the length and y be the width. Then
Perimeter = 2 (x + y)
If the dimensions are multiplied by 2. Then the effect on the perimeter will be
Perimeter = 2 (2x + 2y)
Perimeter = 2 [2 (x + y)]
The perimeter is increased by a factor of 2.
Thus, option A is correct.
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please help me and I will give u brainlist.
Answer:
i think it is 6
Step-by-step explanation:
At Café Primo, a bowl of granola is
2.5 times more expensive than a pot of
tea. Karla bought granola and tea, and
put $1.50 in the tip jar. She spent a
total of $6.75. What is the price of a
pot of tea?
The line Graphed on the grid represents the first of two equations in a system of linear equations.
-20
16
12
CO
4
Х
4
8
12 16
20
-4
-16 -12 -8
-4
-8
-12
-16
-20
If the graph of the second equation in the system passes through the points (-12, 20) and (4. 12
A
The only solution to the system is (10,5).
B
The only solution to the system is (0, 14).
C
The system has no solution.
The system has an infinite number of solutions
Answer:
It’s A
Step-by-step explanation:
I think
b. in general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; p-value method; critical value method?
The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.
What is the confidence interval?
A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.
In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.
On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.
To summarize:
- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.
- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.
- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.
Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.
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There is 0.6 probability that a customer who enters a shop makes a purchase. If 10 customers are currently in the shop and all customers decide independently, what is the variance of the number of customers who will make a purchase?
Group of answer choices
10⋅0.6⋅(1−0.6)
0.62
0.6⋅(1−0.6)
The variance of the number of customers who will make a purchase is 2.4.
The variance of the number of customers who will make a purchase can be calculated using the formula:
Variance = n * p * (1 - p)
where n is the number of customers and p is the probability of a customer making a purchase.
In this case, n = 10 and p = 0.6. Substituting these values into the formula, we get:
Variance = 10 * 0.6 * (1 - 0.6)
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Therefore, the variance of the number of customers who will make a purchase is 2.4.
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decide if the first number is a factor or the second number with a yes or no.
a. 9; 74,520
b, 3; 876
-4 + 5x -7 = 10 + 3x - 2x
Answer:
X = 21 / 4 (21 over 4)
Step-by-step explanation:
First, we combine like terms:
5x−11=x+10
Step 2: Subtract x from both sides.
5x−11−x=x+10−x
4x−11=10
Step 3: Add 11 to both sides.
4x−11+11=10+11
4x=21
Step 4: Divide both sides by 4.
4x/4 = 21/4
x= 21 / 4
Please give me brainliest of this helped you! Thanks!
What weight is shown?
0
500
grams
Answer:
The answer is 175 grams
Step-by-step explanation:
100 than 150, its close to 175 if u estimate