The original number is 6. A boy subtract a certain number and then then divides the result by 6
Let's represent the unknown number as x. According to the given information, the boy subtracts this number and then divides the result by 6.
To express this mathematically, we can write the equation:
(y - x) / 6
In this equation, y represents the result after the subtraction and division.
To find the original number x, we need more information. If we are given the value of y, we can substitute it into the equation and solve for x.
For example, if we know that y is equal to 12, the equation becomes:
(12 - x) / 6
We can simplify this further:
12 - x = 6
Now, we isolate x by subtracting 12 from both sides:
-x = 6 - 12
-x = -6
Finally, we multiply both sides by -1 to solve for x:
x = 6
Therefore, the original number is 6.
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the average weight of 19 year old women in america is 148.6 pounds with a standard deviation of 23.9 pounds. what is the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds? what is the maximum percentage of women who weigh more than 201.2 pounds?
the maximum percentage of women who weigh more than 201.2 pounds is 1.39%.
To find the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds, we need to standardize the values using the formula:
z = (x - μ) / σ
where:
x = weight value
μ = mean weight
σ = standard deviation
For x = 96.0 pounds:
z = (96.0 - 148.6) / 23.9
z = -2.21
For x = 201.2 pounds:
z = (201.2 - 148.6) / 23.9
z = 2.21
We can use a standard normal distribution table or calculator to find the area between -2.21 and 2.21. The area is approximately 0.9545 or 95.45%.
Therefore, the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds is 95.45%.
To find the maximum percentage of women who weigh more than 201.2 pounds, we need to standardize the value of 201.2 pounds using the same formula:
z = (x - μ) / σ
z = (201.2 - 148.6) / 23.9
z = 2.21
We can use a standard normal distribution table or calculator to find the area to the right of 2.21. The area is approximately 0.0139 or 1.39%.
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PLEASE HELP ASAP THANK YOU!!
Answer:
Second graph
Step-by-step explanation:
See attached image.
A study was conducted in 1991 by randomly selecting 6 men and women in order to compare their program ratings for a new TV program. The ratings follow Program Rating(scale 0 to 100) Men Women 99 96 93 25 25 58 52 12 18 80 81 33 It is desired to use statistical hypothesis testing to determine if there is sufficient evidence of a difference in mean ratings between men and women. Choose the proper statistical technique to use from the list below. a. One sample test for a mean b. One sample test for a proportion Two sample test for means- Independent d. Two sample test for means -paired e. Two sample test for proportions f. Chi square test of independence Chi square test for homogeneity of proportions h. One Way Analysis of variance I. Correlation - Simple regression k. Multiple regression 1. Time Series Forecasting
The proper statistical technique to use in this scenario is "d. Two sample tests for means - independent."
Determine the proper statistical technique?In this study, the goal is to compare the mean ratings between two independent groups: men and women. The data consists of two samples, each representing ratings given by men and women.
To determine if there is sufficient evidence of a difference in mean ratings between the two groups, a two sample test for means - independent is appropriate.
This statistical technique, also known as an independent samples t-test, assesses whether the means of two independent groups are significantly different from each other. It compares the means of the two samples while taking into account the variability within each group.
By conducting this test, we can evaluate if there is a significant difference in the mean program ratings between men and women in the study.
Therefore, to analyze the difference in mean ratings between men and women in the study, the appropriate statistical technique is "d. Two sample tests for means - independent."
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a variable is normally distributed with a mean of 16 and a standard deviation of 6. find the percent of thedata set that:
The percentage of the data set within the range of 10 to 22 is 68.26%.
To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.
First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:
\(z1 = (10 - 16) / 6 = -1.0\)
\(z2 = (22 - 16) / 6 = 1.0\)
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.
Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.
Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.
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Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 On a coordinate plane, 2 solid straight lines are shown. The first line has a negative slope and goes through (negative 8, 6) and (0, 0). Everything below the line is shaded. The second line has a positive slope and goes through (negative 2, negative 8) and (2, 4). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4. In which section of the graph does the actual solution to the system lie? 1 2 3 4
Answer:
4
Step-by-step explanation:
the answer is 4 so d on edge .
Based on the information given regarding the graph, it should be noted that the correct option is graph 4.
What is a graph?
It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.
From the information given, the system of inequalities and its graph is given is y ≤ –0.75x y ≤ 3x – 2 and the first line has a negative slope and goes through (negative 8, 6) and (0, 0).
Therefore, the section of the graph where the actual solution to the system lie is in graph 4.
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The west side bakery uses 520 pounds of flour to make 1000 loaves of bread each loaf contains the same amount of flour
Answer:
1.92307692308 or 1.92
Step-by-step explanation:
Brainliest?
Which of the following have both 2 and -5 as solutions.a. x2 + 3× - 10 = 0b. x2- 3x -10=0c. x2 + 7× +10=0d. x2 -7x +10=0
the equation (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions. Therefore the correct option is a.
To determine which equation(s) have both 2 and -5 as solutions, substitute these values into each equation and see if they satisfy the equation. Let's check each option:
a. \(x^2 + 3x - 10 = 0\)
Substituting x = 2:
\((2)^2 + 3(2) - 10 = 4 + 6 - 10 = 0\)
Substituting x = -5:
\((-5)^2 + 3(-5) - 10 = 25 - 15 - 10 = 0\)
Both 2 and -5 satisfy the equation, so option a has both 2 and -5 as solutions.
b. \(x^2 - 3x - 10 = 0\)
Substituting x = 2:
\((2)^2 - 3(2) - 10 = 4 - 6 - 10 = -12\)
Substituting x = -5:
\((-5)^2 - 3(-5) - 10 = 25 + 15 - 10 = 30\)
Neither 2 nor -5 satisfy the equation, so option b does not have both 2 and -5 as solutions.
c. \(x^2 + 7x + 10 = 0\)
Substituting x = 2:
\((2)^2 + 7(2) + 10 = 4 + 14 + 10 = 28\)
Substituting x = -5:
\((-5)^2 + 7(-5) + 10 = 25 - 35 + 10 = 0\)
Only -5 satisfies the equation, so option c does not have both 2 and -5 as solutions.
d. \(x^2 - 7x + 10 = 0\)
Substituting x = 2:
\((2)^2 - 7(2) + 10 = 4 - 14 + 10 = 0\)
Substituting x = -5:
\((-5)^2 - 7(-5) + 10 = 25 + 35 + 10 = 70\)
Only 2 satisfies the equation, so option d does not have both 2 and -5 as solutions.
In conclusion, the equation in option a (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions.
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Which one is the geometric sequence.
Answer:
C
Step-by-step explanation:
A geometric sequence has a common ratio r between consecutive terms
A
4 ÷ 2 = 2
6 ÷ 4 = 1.5
Thus not a geometric sequence
B
1 ÷ 1 = 1
2 ÷ 1 = 2
Thus not a geometric sequence
C
\(\frac{1}{2}\) ÷ 1 = \(\frac{1}{2}\)
\(\frac{1}{4}\) ÷ \(\frac{1}{2}\) = \(\frac{1}{2}\)
\(\frac{1}{8}\) ÷ \(\frac{1}{4}\) = \(\frac{1}{2}\)
D
4 ÷ 7 = \(\frac{4}{7}\)
1 ÷ 4 = \(\frac{1}{4}\)
Thus not a geometric sequence
Then the geometric sequence is C
Rodrigo entrena para una maraton todos los dias sale a correr a una pista de 6 kilimetros de longitud,el lunes da dos vueltas,el martes da una vuelta y un medio,el miercoles da una vuelta y un tercio,el jueves da dos vueltas y dos quintos,el viernes da una vuelta y dos tercios,y el sabado dio dos vueltas y tres cuartos cuantos kilometros recorrio por dia
Answer:
11.65 km / day
Step-by-step explanation:
We can calculate the amount of daily kilometer in the following way
First day: 2 * 6 = 12 km
Second day: 1.5 * 6 = 9 km
Third day: 1.333 * 6 = 8 km
Fourth day: 2.4 * 6 = 14.4 km
Sixth day: 1.666 * 6 = 10 km
on Saturday: 2.75 * 6 = 16.5 km
the average per day
(12 + 9 + 8 + 14.4 + 10 +16.5) / 6 = 11.65
11.65 km/day
DISTANCE EQUATION
i know it is the first one but what other ones?
Answer:
A and E
Step-by-step explanation:
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\) ← distance formula
it is important that the x and y coordinates are placed correctly, that is not mixed together.
First version
let (x₁, y₁ ) = X (- 5, 4 ) and (x₂, y₂ ) = Y (7, 15 ) , then
XY = \(\sqrt{(7-(-5)^2+(15-4)^2}\) → A
or
Second version
let (x₁, y₁ ) = Y (7, 15 ) and (x₂, y₂ ) = X (- 5, 4 ) , then
XY = \(\sqrt{(-5-7)^2+(4-15)^2}\) → E
What is the value for y?
Answer:
2
Step-by-step explanation:
In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?
A. 88°
B. 90°
C. 99°
D. 100°
Answer:C
Step-by-step explanation:
interior angles of a triangle, when added, = 180
so < A + < B + < C = 180
41 + 90 + < C = 180
131 + < C = 180
< C = 180 - 131
< C = 49
< C + < D + < E = 180.....because when added they form a line
49 + 32 + < E = 180
81 + < E = 180
< E = 180 - 81
< E = 99 <======
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which of the following is an example of a proper fraction?
A proper fraction is a fraction where the numerator is smaller than the denominator. In other words, the value of the fraction is less than one. On the other hand, an improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 4/3 and 7/5 are improper fractions.
1/2 - The numerator is 1, which is smaller than the denominator 2. This fraction represents one half or 0.5.
3/4 - The numerator is 3, which is smaller than the denominator 4. This fraction represents three-fourths or 0.75.
2/5 - The numerator is 2, which is smaller than the denominator 5. This fraction represents two-fifths or 0.4.
7/8 - The numerator is 7, which is smaller than the denominator 8. This fraction represents seven-eighths or 0.875.
In general, any fraction where the numerator is smaller than the denominator is a proper fraction. Proper fractions are important in mathematics and everyday life, as they represent parts of a whole and can be used to express values such as percentages and probabilities.
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what is the median of these numbers 17 12 54 36 71 28 31 55
Answer:
The median is 33.5
Step-by-step explanation:
In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.
The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.
What is the median of a set of numbers?The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.
If there are an even number of numbers, the median is the average of the two middle values. If there is an odd number of numbers, the median is the middle number.
To find the median of the given numbers, we first need to arrange them in ascending order:
12 17 28 31 36 54 55 71
Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.
To find the average, we add the two numbers and divide by 2:
(31 + 36) / 2 = 67 / 2 = 33.5
Therefore, the median of the given numbers is 33.5.
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can any one help me i really need it
Answer:
94
Step-by-step explanation:
all angles add up to 180
56+30 = 86
180-86=94
The table for the quadratic functions f(x) and g(x) are given.
x f(x) g(x)
−6 36 4
−3 9 1
0 0 0
3 9 1
6 36 4
Determine the type of transformation and the value of k.
1. g(x) = 3f(x)
2. g(x) = f(3x)
3. g of x equals one third times f of x
4. g of x equals f of one third times x
The value of k is 1, which is the value of g(x) (and f(x)) when x = -3 or x = 3.
We can determine the type of transformation and the value of k for each of the aforementioned functions using the tables provided for f(x) and g(x).
g(x) = 3f(x) (x)
Here, there occurs a vertical stretch/compression transformation. The function g(x) is a three-fold vertical expansion or contraction of f(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.
g(x) = f(3x) (3x)
Here, there occurs a horizontal stretch/compression transformation. A horizontal stretch or compression of f(x) by a factor of 1/3 results in the function g(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
g(x) = (1/3)f(x) (x)
Here, there occurs a vertical stretch/compression transformation. A vertical stretch or compression of f(x) by a factor of 1/3 results in the function g(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.
g(x) = f(x/3)
Here, there occurs a horizontal stretch/compression transformation. The function g(x) is a three-fold horizontal stretching or compression of f(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
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Determine whether the sample is biased or unbiased. Explain You want to estimate the number of students in your school who want a football stadium to be built. You survey the first 20 students who attend a Friday night football game.
The sample is baised.
Since all the students who attended the football game will most likely want a football stadium to be built and those that do no want a stadium to be built are not proportionately represented in this sample
A computer and printer cost a total of 1152. The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answer:
The cost of the printer is x=288 and cost of computer is 3x=864
Step-by-step explanation:
Let the cost of the printer be x and cost of computer be 3x
ATQ, x+3x=1152, x=288.
The cost of the printer is x=288 and cost of computer is 3x=864
Someone who wants to go camping in the spring starts to pack his backpack and this camper must pack three items: food, first-aid kits, and clothes. The backpack has a capacity of 9 ft 3. Each unit of food takes 2ft 3 . A first-aid kit occupies 1ft 3 , and each piece of cloth takes about 3ftt 3 . The hiker assigns the benefit of the items as 7, 5 , and 6 to food, first aid, and clothes, respectively, which means that foods are the most valuable of the three items. From experience, the hiker must take at least one unit of each item. How many of each item should the camper take?
The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.
To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.
Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.
The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.
Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.
For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.
Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.
Considering all the constraints, the possible combinations are:
- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.
- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.
- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.
- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.
Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.
Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.
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ABSOLUTE VALUE FUNCTION
PLS HELP WILL GIVE BRAINLY FOR CORRECT ANSWER ONLYY
B) \(\sf y=\left|x-3\right|\)
The original graph has x-intercept : 3 || y-intercept : 3Calculate the y-intercept and x-intercept for every function.Here in option B,
y-intercept:
y = |x-3|
y = |0-3|
y = 3
x-intercept:
0 = |x-3|
x - 3 = 0
x = 3
Thus option B is correct.
10. IDX Tech is looking to expand its investment in advanced security systems. The project will be financed with equity. You are trying to assess the value of the investment and must estimate its cost of capital. You find the following data for a publicly-traded firm in the same line of business: Debt Outstanding (book value, AA-rated) $423 million Number of shares of common stock $67 million Stock price per share $17.29 Book value of equity per share $6.24 Beta of equity 1.19 What is your estimate of the project's beta? What assumptions do you need to make?
To estimate the project's beta, we need to make assumptions and use available data. Given the information provided for a publicly traded firm in the same line of business, including the debt outstanding, number of shares, stock price per share, book value of equity per share, and the beta of equity, we can calculate an estimate of the project's beta.
The beta measures the systematic risk of an investment relative to the overall market. To estimate the project's beta, we can use the leveraged beta approach. Since the project will be financed with equity, we assume that the project's beta will be equal to the equity beta of the publicly-traded firm in the same line of business. Therefore, the estimated beta of the project would be 1.19, based on the given information.
It is important to note that this estimation relies on the assumption that the project's risk profile and systematic risk are similar to that of the publicly-traded firm used as a reference. Additionally, this approach assumes that the project is solely financed with equity and does not take into account any potential debt financing or other factors that may affect the project's beta.
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When you try to find the most appropriate input probability distribution in a simulation model, you first have to choose the most appropriate family, and then you have to select the most appropriate member of that family.
True
False
The statement 'When you try to find the most appropriate input probability distribution in a simulation model, you first have to choose the most appropriate family, and then you have to select the most appropriate member of that family' is generally true because in simulation modeling, input probability distributions are used to represent uncertain or random factors in the system being modeled.
These distributions are often classified into different families, such as normal, exponential, uniform, and so on, based on their properties and mathematical characteristics.
When selecting an appropriate distribution for a simulation model, it is important to first identify the family of distributions that best represents the underlying random process being modeled.
For example, if the data is symmetric and bell-shaped, then the normal distribution might be a suitable family to consider. However, if the data is non-negative and skewed, then the exponential or gamma distribution might be more appropriate.
Once the appropriate family of distributions is selected, the next step is to identify the most appropriate member or parameter values of that family that best fit the data being modeled.
This often involves using statistical methods to estimate the parameters of the distribution based on historical data or expert knowledge.
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One of the variables required for the experiment is the room temperature. The temperature of the room is measured at 20.0 °C. What is the temperature in Kelvin?
The Temperature in Kelvin is 293.15 K.
To convert temperature from degrees Celsius (°C) to Kelvin (K), you can use the following formula:
Temperature in Kelvin = Temperature in Celsius + 273.15
Given that the room temperature is measured at 20.0 °C, we can calculate the temperature in Kelvin as follows:
Temperature in Kelvin = 20.0 °C + 273.15
Temperature in Kelvin = 293.15 K
Therefore, the temperature in Kelvin is 293.15 K.
The Kelvin scale is an absolute temperature scale where 0 K represents absolute zero, the point at which all molecular motion ceases. The Kelvin scale is widely used in scientific and engineering applications, especially in situations where precise temperature measurements and calculations are necessary.
It's important to note that the Kelvin scale does not use the degree symbol (°) when denoting temperature. Instead, temperatures are simply expressed in Kelvins (K) as a unit of measurement.
Converting temperatures between Celsius and Kelvin is a simple process and involves adding or subtracting the appropriate value (273.15) to or from the temperature in Celsius. This conversion is useful in many scientific calculations and ensures consistency and accuracy when working with temperature data.
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Answer:
293.15 K.
Step-by-step explanation:
Solve 5kx + 6 = 7 kx for x.
Not drawn
accurately
18.2 cm
7 cm
16.8 cm
Is the triangle a right-angled triangle?
You must show your working.
Answer:
Yes, It is a Right Triangle.
Step-by-step explanation:
The hypotenuse is the longest side of the triangle, so for this problem we set the hypotenuse's value to 18.2
From there it doesn't matter which side is which, as both will undergo the same operations.
If the following equation is true, then it is a right triangle.
7²+16.8²= 18.2²
49 + 282.24 = 331.24
The equation is True.
It is a right-angled Triangle.
Dakota earned $15.75 in interest in Account A and $28.00 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 4% for Account B, which account has the
greater principal? Explain.
The account that has the greater principal is account B.
Which account has the greater principal?
Simple interest is a linear function of the amount invested (the principal), the interest rate and the duration of the investment.
The formula that can be used to determine simple interest is:
Interest = principal x time x interest rate
Principal = interest / (time x interest rate)
Principal in account A = $15.75 / (0.03 x (21/12)) = $300
Principal in account B = $28 / (0.04 x (21/12)) = $400
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Find three consecutive odd integers such that the sum of three times the smaller and twice the largest is equal to one less than four times the middle. find the integers.
Answer:
-1, 1, 3
Step-by-step explanation:
Let x equal the first odd integer.
The three consecutive odd integers would be represented by x, then x+2, then x+4.
So 3x + 2(x + 4) = 4(x + 2) - 1
Solve for x
3x + 2x + 8 = 4x + 8 -1
5x + 8 = 4x + 7
x = -1
Help I'm giving all my points which is 29 points please I swear if you put a bit link I'm reporting you and I hope you go to hell... of scamming people
Answer:
D
Step-by-step explanation:
6 days is 60%
a profit of 9$ integer
Answer:
+ or - $9
Step-by-step explanation:
Find the length of the arc, s, intercepted by a central angle 0 in a circle of radius
r = 20 ft, 0 = 75°
Answer:
30000
Step-by-step explanation:
because if you *75 by 20 2 times is your answer.