Pr(total)=pr(blue)+pr(green)+pr(red)=4+1+2
=7
a) pr(blue)= pr(blue)/pr(total)=4/7
b) pr(green)= pr(green)/pr(total)=1/7
c) pr(not green)= pr(blue)+pr(red)= 4/7+2/7=6/7
d)pr(not purple)= ???
e)pr(red)=pr(red)/pr(total)=2/7
Question d seems like it is a problem cause we were not told that a purple ball was in the bag.
What is the value of (4 minus 2) cubed minus 3 times 4?
Negative 20
Answer:
-4
Step-by-step explanation:
(4-2)³ = 8
so 8 - 3 x 4
is equal to -4
The expression \(((4 - 2)^3 - 3) \times 4\) simplifies to 20, as of the given operations.
To calculate the expression \(((4 - 2)^3 - 3) \times 4\), we follow the order of operations (PEMDAS/BODMAS).
First, we evaluate the parentheses: (4 - 2) = 2.
Next, we calculate the cube of 2³= 8.
Then, we subtract 3 from 8:
8 - 3 = 5.
Finally, we multiply the result by 4:
5 × 4 = 20.
Therefore, the value of the expression \(((4 - 2)^3 - 3) \times 4\) is 20.
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miguel is saving towards the purchase of a used car. the price of the car is $3,400, and miguel has saved $1,496 so far. what percent of the total cost has he saved? write an equation and explain how you used it to find the percentage he has saved.
If Miguel has saved $1,496 so far, and the cost of the car is $3,400, then Miguel has saved 44% of the total cost of the used car.
To find the percent Miguel has saved towards the used car, you can use the following equation:
Percent saved = (Amount saved / Total cost) × 100
Here, the total cost of the car is $3,400 and Miguel has saved $1,496 so far. Plug these values into the equation:
Percent saved = ($1,496 / $3,400) × 100
Now, divide $1,496 by $3,400:
Percent saved = (0.44) × 100
Finally, multiply the result by 100 to get the percentage:
Percent saved = 44%
So, Miguel has saved 44% of the total cost of the used car.
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4. What should be the minimum yield value of the key material for the key to smoothly transmit the torque of the shaft? However, the yield stress (Oc) of the shaft is 36kg/m². the diameter of the shalts 80mm, and the safety factor is 2. The dimensions of the key are 20x20x120mm De 2T
The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.
To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.
The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.
The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.
To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.
Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.
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The radius and center of circle C are shown. Use 3.14 for pi . Round to the nearest tenth.
Answer:
See below
Step-by-step explanation:
Circumference = pi * d = 18 pi inches
Area = pi r^2 = pi * 9^2 = 81 pi in^2
What is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)? A. y=1/2x+4 B y=-1/2x+6 C y=-1/2x+4 D y=-1/2x+8
Answer:
y = -1/2x + 8
Step-by-step explanation:
y = -1/2x + b
6 = -1/2(4) + b
6 = -2 + b
8 = b
Right answer gets brainlist
Answer:
2309
Step-by-step explanation:
V = pi times radius^2 times height
Answer: 2309
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The width of a rectangle measures (4v+3w) centimeters, and its length measures (6v−6w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The expression that represent the perimeter of the rectangle is 20v - 6w
How to find the perimeter of a rectangle?The perimeter of a rectangle is the sum of the whole side of the rectangle.
Therefore,
perimeter of a rectangle = 2l + 2w
where
l = lengthw = widthHence,
l = 6v - 6w
w = 4v + 3w
perimeter of a rectangle = 2(6v - 6w) + 2(4v + 3w)
perimeter of a rectangle = 12v - 12w + 8v + 6w
combine like terms
perimeter of a rectangle = 12v + 8v - 12w + 6w
perimeter of a rectangle = 20v - 6w
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Mr. Swanson bought a package of 10 disposable razors for $6.30. He found that each razor lasted for 1 week. What was the cost per day?
Can someone include an explanation too so I can understand it? The unit is unit of rates in class.
Answer:
0.63 I beleive
Step-by-step explanation:
So when you use your calculator you want to divide 6.30 divided by 10, because there are 10 razors and it is $6.30, so if you wanna know what 1 razor costs, you gotta divide how much money the razors are, and the amount of razors if that makes sense.
brad is planting flowers in a grid-like pattern in his garden. he is trying to determine the possible number of rows and columns in which he can plant his flowers. he determines that two possibilities are 8 rows and 25 columns or 10 rows and 20 columns. brad realizes that he could also use 5 rows in his garden. how many columns would complete a 5-row garden? a. 30 b. 40 c. 50 d. 60
Brad would need 40 Columns to complete a 5-row garden.The correct answer is B. 40.
To determine the number of columns that would complete a 5-row garden, we can use the concept of the grid-like pattern that Brad is using to plant his flowers.
We are given two possibilities: 8 rows and 25 columns or 10 rows and 20 columns. These two possibilities indicate that the number of flowers can be arranged in a rectangular grid.
Let's analyze the information we have:
For the first possibility: 8 rows and 25 columns, we can calculate the total number of flowers by multiplying the number of rows by the number of columns: 8 * 25 = 200 flowers.
For the second possibility: 10 rows and 20 columns, the total number of flowers is calculated as 10 * 20 = 200 flowers.
We can observe that both possibilities have the same total number of flowers, which is 200.
Now, Brad wants to have a 5-row garden. To determine the number of columns that would complete a 5-row garden, we divide the total number of flowers by the number of rows.
Total number of flowers = 200
Number of rows = 5
Number of columns = Total number of flowers / Number of rows = 200 / 5 = 40
Therefore, Brad would need 40 columns to complete a 5-row garden.
The correct answer is B. 40.
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An entry level web developer's annual pay is $56,940 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its web developers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the web developer expect his annual pay to decrease? Round your answer to the nearest dollar.
Based on the first entry level web developer salary paid, and the new work year, the amount the web developer can expect his annual pay to decrease by is $2,190
How to find the decrease in pay?First, find the weekly pay of the web developer in the first salary:
= 56,940 / 52
= $1,095 per week
The new salary of the web developer as a result of the work week becoming 50 weeks is:
= 1,095 x 50
= $54,750
The decrease in this annual pay to the web developer is:
= 56,940 - 54,750
= $2,190
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what is 7/9 divided by 6/8
Answer: \(\frac{28}{27}\) or \(1\frac{1}{27}\)
Step-by-step explanation:
\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)
\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)
\(\frac{28}{27} = 1 \frac{1}{27}\)
Someone help me pleaseeee
For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.
What is right triangle?A right triangle, right-angled triangle, or more formally an orthogonal triangle—previously known as a rectangled triangle—is a triangle with one angle that is a right angle (i.e., a 90-degree angle), meaning that two of its sides are perpendicular. The foundation of trigonometry is the relationship between the sides and other angles of a right triangle.
The hypotenuse is the side that faces the right angle (side c in the figure). Legs are the sides that are next to the right angle (or catheti, singular: cathetus). Side a can be thought of as the side that is adjacent to angle B and opposite to (or opposite) angle A, whereas side b is the side that is adjacent to angle A and opposite to angle B.
Given a right triangle with base = 8 and an angle = 24°
Using angle sum property of triangle
24 + 90 + angle L = 180
L = 66°
Using Sohcahtoa
Tangent: tan(θ) = Opposite / Adjacent
tan(24°) = LK/8
0.445 = LK/8
LH = 8 × 0.445
LK = 3.56
LM = \(\sqrt{MK^2 + LK^2}\)
LM = \(\sqrt{8^2 + 3.56^2}\)
LM = 8.75
Thus, For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.
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Topic 3 proportional relationships
Raven needs new winter boots. Both ShoeTown and LaceUp shoe stores carry the boots she wants to buy.
The boots are regularly priced $85.95, but both stores are running sales. ShoeTown has the boots marked
down 15%. LaceUp has the boots marked down 10%, plus Raven has a $5 coupon she can use on the
boots after the markdown is applied.
Raven’s friend Becca tells Raven there is an online shoe store called Run, Don’t Walk that has the boots she
wants for only $71.99. If Raven buys the boots in a local store, she will have to pay 7.16% sales tax on her
purchase. If Raven buys the boots online, she won’t have to pay sales tax, but she will have to pay $6.50 for shipping.
Shoe Town provides the finest ultimate price, so Raven should purchase the boots there.
Equal in proportional to what?possessing an identical or consistent ratio or connection between two quantities: If y/x = k, in which k is the proportionality constant, then the numbers y and x are proportionate.
To determine which one is the best store for Raven let's calculate the price in each case.
Shoe Town
Total price:
Initial price - Mark down + Sales tax
85.95 - 15% + 7.16 %
85.95 - 12.89 + 7.16 %
73.06 + 7. 16%
73.06 + 5.23 = 78.29
Lace Up
Total price:
Initial price - Mark down - Coupon + Sales tax
85.95 - 10% - 5 + 7.15%
89.95 - 8.99 - 5 + 7.15%
80.96 - 5 + 7.15%
75.96 + 7.15%
75.96 + 5.43 = 81.39
Run, Don't Walk
Total price:
Initial price + shipping
71.99 + 6.50 = 78.45
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A square and rectangle have the same perimiter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x. Write and solve and equation to find x.
Answer:
Square Perimeter = 4(4x-1)
Rectangle Perimeter = 2(2x+1) + 2(x+2)
Square Perimeter = Rectangle Perimeter
4(4x-1) = 2(2x+1) + 2(x+2)
16x - 4 = 4x + 2 + 2x + 4
16x - 4 = 6x + 6
-6x +4 -6x +4
10x = 10
x = 1
Step-by-step explanation:
hope that helped?
how many such strings are if 2 of the ones are to be next to each other and the third is not next to the other two?
The number of strings where exactly two of the ones are next to each other, while the third one is not next to the other two, is (n-1) x (n-2).
In combinatorics, one of the fundamental concepts is counting the number of strings or sequences of symbols that satisfy certain conditions.
Let us first consider the case where the two ones that are next to each other are at the beginning of the string. In this case, we can place the third one in any of the remaining positions, which are n-2, where n is the total length of the string. Therefore, the number of such strings is (n-2).
Similarly, if the two ones are at the end of the string, we can place the third one in any of the n-2 remaining positions, and the number of such strings is again (n-2).
Now let us consider the case where the two ones are in the middle of the string. In this case, we can place the two adjacent ones in (n-2) ways, and the third one can be placed in any of the remaining n-3 positions, since it cannot be adjacent to the other two ones. Therefore, the number of such strings is (n-2) x (n-3).
To get the total number of strings that satisfy the given condition, we need to add up the number of strings in each of the three cases:
Total number of strings = (n-2) + (n-2) + (n-2) x (n-3)
Simplifying this expression, we get:
Total number of strings = (n-1) x (n-2)
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hiii please help! i’ll give brainliest if you give a correct answer tysm!
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
the last answer D
The ratio of boys to girls in a class is 4:2. There are 30 students in class. How many girls and boys are there?
Answer:
20 boys, 10 girls
Step-by-step explanation:
4 + 2 = 6
4:6 ⋅ 5:5 = 20:30
2:6 ⋅ 5:5 = 10:30
Solve in Multi Step (Show work)
4x - 5 + 7x = 13
Step-by-step explanation:
first you add 5 to both sides to give you
4x+7x=18
next you add 4 and 7 together
11x=18
after that you divide both by 11 to get
1.63 repeating
Answer:
x = 18/11 or 1 and 7/11
Step-by-step explanation:
4x - 5 + 7x = 13
4x + 7x = 13 + 5
11x = 18
x = 18/11 or 1 and 7/11
Declaring variables - Declare two integer variables x and y, - Assign them any values. - Print addition/subtraction/multiplication and division of these two variables on to the screen
Submission Task (- Grade 1%) Follow the same steps asin Exercise 2, but change the step 2 to ask the user for input forthese values by using Scanner class.
Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:
import java.util.Scanner;
public class VariableOperations {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter the value for x: ");
int x = scanner.nextInt();
System.out.print("Enter the value for y: ");
int y = scanner.nextInt();
// Addition
int addition = x + y;
System.out.println("Addition: " + addition);
// Subtraction
int subtraction = x - y;
System.out.println("Subtraction: " + subtraction);
// Multiplication
int multiplication = x * y;
System.out.println("Multiplication: " + multiplication);
// Division
if (y != 0) {
double division = (double) x / y;
System.out.println("Division: " + division);
} else {
System.out.println("Cannot divide by zero.");
}
}
}
This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.
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how long does it take for the average adult to metabolize four 12-ounce beers? 5 hours 4 hours 3 hours 2 hours
It takes approximately 3 hours for an average adult to metabolize four 12-ounce beers.
The alcohol has a half-life of about 3 hours. This means that for every three hours that pass, the amount of alcohol in your body decreases by half. Alcohol is metabolized primarily in the liver.
Here, enzymes break down the ethanol molecule and turn it into a less toxic chemical called Acetaldehyde. Acetaldehyde is then further broken down by the enzyme aldehyde dehydrogenase into Acetic acid. Acetic acid is then further broken down into water and Carbon dioxide and eventually eliminated from the body.
So, for an average adult, it takes approximately 3 hours to metabolize four 12-ounce beers. The rate of metabolism can be affected by a number of factors such as age, gender, body composition, and the rate at which the alcohol was consumed.
Additionally, factors such as weight, body fat percentage, and the amount of food in the stomach can also influence the rate of alcohol metabolism. It is important to note that even after the alcohol is metabolized, it can still remain in the system and affect cognitive and motor skills.
Therefore, it is important to give the body enough time to metabolize the alcohol before attempting to drive or operate any type of machinery.
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Complete the square to re-write the quadratic function in vertex form
Answer:
y = (x-3)² - 16
Step-by-step explanation:
(x-3)² = x²-6x +9
so to get to the original function you'll need to - 16
Please help super confused
Answer:
1. 4, 28, 80
2. P(x)=4x
3. P(9.1)=36.4
The perimeter is 36.4 and the side length is 9.1
Step-by-step explanation:
To find perimeter you multiple a squares side length by 4.
3.1 × 10^-4 in standard form
Answer:
Its 0.00031
Step-by-step explanation:
You just move your decimal the number of exponent. In your case -4 so you would move it to the left because it's a negative and move it 4 spaces.
Hope this helps!
Identify the outlier in the data set and then find the mean and median with and without the outlier. 11, 18, 5, 20, 8, 124, 17
The outlier in the data set is 124.
What is the mean & median in statistics?
Mean: The average of a set of values, calculated by adding up all the values in the set and dividing by the total number of values.
Median: The middle value in a set of values, found by arranging the values in order and identifying the value that falls in the middle of the set.
To find the mean and median with and without the outlier, we can follow these steps:
Mean: Add up all the numbers in the data set.
Divide the sum by the total number of values in the set.
Without outlier:
(11 + 18 + 5 + 20 + 8 + 17) / 6 = 13.16
With outlier:
(11 + 18 + 5 + 20 + 8 + 124 + 17) / 7 = 31.29
Median: Sort the data set in order from smallest to largest.
If the number of values in the set is odd, the median is the middle value.
If the number of values in the set is even, the median is the average of the two middle values.
Without outlier:
5, 8, 11, 17, 18, 20
Median = (11 + 17) / 2 = 14
With outlier:
5, 8, 11, 17, 18, 20, 124
Median = 17
Therefore, the mean and median are affected by the outlier. The mean is higher with the outlier, while the median is not affected by the outlier.
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HELP PLEASE ASAPPP !!!!!!
Answer:
Step-by-step explanation:
3²×3^4 = 3^6 ( when multiply add exponents)
correct answers:
first one 3^6
fourth one : 3^-4 * 3^10 = 3^6 (-4+10=6)
sixth one : 3³*3³ = 3^6
last one : (3*3)(2*3*3*3)= 3²*3^4 = 3^6
Please help will mark brainliest
So , correct option is A
I hope you can see the above image.
the statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called _____.
trend analysis
The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.
Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.
By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.
Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.
This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.
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3 NEED HELP ASAP will give brainly
Answer:
1,536π
Step-by-step explanation:
Volume = πr²·h
= 64(24)π
= 1536π
Fill the gaps below:
The slope of the line passing through the points (5, -2) and (7, 6) is 4.
The slope of a line is a measure of its steepness and is defined as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.
The slope formula expresses this relationship in algebraic terms.
In the given problem, we are asked to find the slope of the line passing through the points (5, -2) and (7, 6).
To use the slope formula, we need to identify the coordinates of the two points and plug them into the formula.
Using the coordinates of the given points, we can label them as follows:
(x1, y1) = (5, -2) and (x2, y2) = (7, 6).
Then, we can plug these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (6 - (-2))/(7 - 5)
m = \(\frac{8}{2}\)
m = 4
Therefore,
The line passing through the slope points (5, -2) and (7, 6) is 4. We can interpret this as meaning that for every unit of change in the x-coordinate, the y-coordinate increases by 4 units.
If the slope were negative, we would know that the line is decreasing as we move from left to right, and if the slope were zero, we would know that the line is horizontal.
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