Answer:
Choice A: -36 + (-8)
Step-by-step explanation:
We want to find the equivalent expression to -36 - 8
The correct option is Choice A.
Choice A is -36 + (-8)
The reason is that the product of the signs + and - is -, i.e.
+ * - = -
Hence, + (-8) is the same thing as -8 and Choice A becomes -36 - 8
perform quick sort on the following list: 17 , 28 , 20 , 41 , 25 , 12 , 6 , 18 , 7 , 4 17,28,20,41,25,12,6,18,7,4
The quick sort algorithm sorts the given list [17, 28, 20, 41, 25, 12, 6, 18, 7, 4] in ascending order as [4, 6, 7, 12, 18, 20, 25, 28, 41].
How to perform a quick sort?To perform a quick sort on the given list [17, 28, 20, 41, 25, 12, 6, 18, 7, 4], we can follow these steps:
1. Choose a pivot element from the list. Let's select the first element, 17, as the pivot.
2. Partition the list around the pivot by rearranging the elements such that all elements smaller than the pivot come before it, and all elements larger than the pivot come after it. After the partitioning, the pivot element will be in its final sorted position.
The partitioning step can be done using the following process:
- Initialize two pointers, i and j, pointing to the start and end of the list.
- Move the pointer i from left to right until an element greater than the pivot is found.
- Move the pointer j from right to left until an element smaller than the pivot is found.
- Swap the elements at positions i and j.
- Repeat the above steps until i and j cross each other.
After the partitioning step, the list will be divided into two sublists, with the pivot in its sorted position.
3. Recursively apply the above steps to the sublists on either side of the pivot until the entire list is sorted.
Let's go through the steps for the given list:
Initial list: [17, 28, 20, 41, 25, 12, 6, 18, 7, 4]
Step 1:
Pivot: 17
Step 2:
After partitioning: [12, 6, 4, 7, 17, 28, 20, 41, 25, 18]
Step 3:
Recursively sort the sublists:
Left sublist: [12, 6, 4, 7]
Right sublist: [28, 20, 41, 25, 18]
Repeat the partitioning and sorting process for the sublists.
Left sublist:
Pivot: 12
After partitioning: [7, 6, 4, 12]
Right sublist:
Pivot: 28
After partitioning: [20, 25, 28, 41, 18]
Continue the process for the remaining sublists:
Left sublist:
Pivot: 7
After partitioning: [4, 6, 7, 12]
Right sublist:
Pivot: 20
After partitioning: [18, 20, 25, 28, 41]
Finally, the sorted list is obtained by combining the sorted sublists:
[4, 6, 7, 12, 18, 20, 25, 28, 41]
Therefore, the quick sort algorithm sorts the given list [17, 28, 20, 41, 25, 12, 6, 18, 7, 4] in ascending order as [4, 6, 7, 12, 18, 20, 25, 28, 41].
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r. Adcock is holding 10 cards consisting of 2 diamonds, 4 spades, 2 heart, and 2 clubs. What is the probability of choosing a diamond then a spade if there is no replacement?
Answer - 4/45
They say no replacement so it would be
2/10 * 4/9 = 4/45
a precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance. what assumptions are necessary? does the guarantee seem reasonable?
As per the given confidence interval, the value of P is lees than significant.
Confidence interval:
In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.
Given,
A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.
Here we need to find the assumptions of the given situation,
From the given question we have identified the following,
Reading of instruments = 353, 351, 351, and 355.
Confidence interval = 90% = 0.09
Number of units = 2.
Based on these details, the standard deviation of this temple is 0.7.
So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.
Therefore, P value was less than significant.
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To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her eight hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself. How long will it take Tracy and Dave to complete the task together
Working together, they can complete the task in 4 hours and 48 minutes.
What is the concept of time and work?A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.
Tracy needs 8 hours to complete the task.
Then we can find the ratio of work over time as:
1 task/8 hours = 1/8 task per hour.
This means that she can complete 1/8 of the task per hour.
Dave needs 12 hours to complete the task, then his ratio is:
1 task/12 hours = 1/12 task per hour.
This means that he can complete 1/12 of the task in one hour.
If they work together, then the ratios can be added:
R = \(\frac{1}{8}\) + \(\frac{1}{12}\)
= \(\frac{3+2}{24}\)
= \(\frac{5}{24}\)
So, working together, in one hour they can complete \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:
\(\frac{5}{24}\)×\(x\)= 1 task
x = \(\frac{24}{5}\) hours = 4.8 hours
knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.
Then x = 4 hours and 48 minutes.
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Solve the distance formula for time. d = rt
A. t = r/d
B. t = d – r
C. t = d/r
D. t = d + r
Given m||n, find the value of x.
(2x+9)
(7X+24)
Given, 9−7x=5−3x
Given, 9−7x=5−3xPut x terms on one side and constants on another side.
Given, 9−7x=5−3xPut x terms on one side and constants on another side.⇒9−5=7x−3x
Given, 9−7x=5−3xPut x terms on one side and constants on another side.⇒9−5=7x−3x⇒4=4x
Given, 9−7x=5−3xPut x terms on one side and constants on another side.⇒9−5=7x−3x⇒4=4x⇒x= 4/4 =1
=1Hence, required solution is x=1.
please mark me a brainlist answer I need only 1 ok
The body mass index is calculated with the following equation: BMI = (weightInPounds * 703) / (heightInInches
2
) which computes the product of the weight and 703 , and divides that product by the person's height squared. Prompt the user for his/her height and weight, and output the BMI. Enter weight in pounds: 210 Enter height in inches: 72 BMI is 28.478
The calculated BMI for the given weight and height is approximately 28.478.
To calculate and output the BMI based on the user's weight and height inputs, you can use the following code in Python:
weight_pounds = float(input("Enter weight in pounds: "))
height_inches = float(input("Enter height in inches: "))
bmi = (weight_pounds * 703) / (height_inches ** 2)
print("BMI is", bmi)
When executed, the code prompts the user to enter their weight in pounds and height in inches. It then calculates the BMI using the provided equation and stores the result in the variable 'bmi'. Finally, it outputs the calculated BMI using the 'print' function.
Based on the example input provided (weight: 210 pounds, height: 72 inches), the output would be:
BMI is 28.478
This indicates that the calculated BMI for the given weight and height is approximately 28.478.
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Can you simplify 10/24
Answer: 5/12
Step-by-step explanation: basically divide each number (10 &24) by 2
If 1/5+1/5=a/5 then a=
Answer: a = 2 because 1 + 1 = 2
Step-by-step explanation:
Can you solve 2x + 17 = 29 by first dividing and then subtracting? Do you get the same answer if you subtract first and then divide?
Answer:
You cannot divide first because in equations you need to isolate the variable, which means subtracting first. The outcome will be different if you change the order.
Julio compró ropa por un costo de $5000, por la cual dejó el 20% de apartado. ¿Con cuánto dinero termina de pagar la ropa?
Julio ends up paying $4000 for the clothes.
If Julio bought clothes for a cost of $5000 and left 20% aside, we can calculate the amount of money he ends up paying for the clothes by subtracting the 20% from the total cost.
To calculate the 20% of $5000, we multiply $5000 by 0.20 (which is the decimal representation of 20%).
20% of $5000 = $5000 * 0.20 = $1000
So, Julio left $1000 aside.
To find out how much money he ends up paying for the clothes, we subtract the amount left aside from the total cost:
Money paid for clothes = Total cost - Amount left aside
Money paid for clothes = $5000 - $1000 = $4000
Therefore, Julio ends up paying $4000 for the clothes.
It's important to note that when we calculate a percentage, we convert the percentage into a decimal by dividing it by 100. In this case, we converted 20% into 0.20. By multiplying the total cost by 0.20, we obtained the amount left aside. Subtracting this amount from the total cost gives us the amount paid for the clothes.
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Note the translated question is:
Julio bought clothes for a cost of $5000, for which he left 20% aside. How much money does he end up paying for the clothes?
180 are given a line that has a slope of 4 and passes through the point ở 2). Which statements about the equation
of the line are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y - 4x-1
The point slope equation is -
43-
The Point ( ) corresponds to (x, y) in the point-stope form of the equation.
Answer:
we can do it again and again and again and again and again and again and again and again and again on Monday morning baby I'm a fan for the rest are the only way we do to help me to get to see this
How is multiplying —8 – 3i by i³ represented on the complex plane?
Drag a term or measure into each box to correctly complete the statements.
Multiplying -8 - 3i by i³ is represented as 8i - 3 on the complex plane.
What is the Complex Numbers?Complex numbers are numbers that consist of a real part and an imaginary part. They are represented as a+bi, where 'a' is the real part, 'b' is the imaginary part, and 'i' is the imaginary unit, defined as the square root of -1.
The multiplication of -8 - 3i by i³ on the complex plane can be represented as follows:
-8 - 3i is a point in the complex plane, where the real part is -8 and the imaginary part is -3.
i³ is equal to -i, as i³ = i * i * i = -1 * i = -i.
So, multiplying -8 - 3i by i³ can be represented as follows:
-8 - 3i * i³ = (-8 - 3i) * (-i)
This can be further simplified using the distributive property:
(-8 - 3i) * (-i) = -8 * (-i) - 3i * (-i)
= 8i + 3i²
Since i² is equal to -1, we can substitute it:
8i + 3i² = 8i + 3 * (-1)
= 8i - 3
Hence, multiplying -8 - 3i by i³ is represented as 8i - 3 on the complex plane.
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Answer: Box 1: Quadrant III (3)
Box 2: the imaginary unit
Box 3: Quadrant II(2)
Step-by-step explanation: I took the test and would've had 100% but got this (mostly) wrong, don't make my mistake.
you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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si no saben no contesten
Four pounds of apples cost 3.88. what is the price per pound
I need this done asap!!!!
WILL give brainliest!
Answer:
0.97 cents
Step-by-step explanation:
4/3.88=0.97
price per pound=0.97 cents
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Which value is a solution of the equation x2 (squared) = 49?
X = 98
X = 2,401
X = 24.5
X = 7
Answer:
24.5
Step-by-step explanation:
If you multiply 2 and 24.5 together you would get 49
The value of the solution to the given equation is 7, which is the correct answer that would be option (D).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The equation is given in the question following as:
x² = 49
We have to determine the value of the solution to the given equation
As per the given question, we have
⇒ x² = 49
⇒ x² - 49 = 0
⇒ x² - 7² = 0
We know that the formula as, a² - b² = (a + b)(a - b)
Here a = x and b = 7, and we get
⇒ (x + 7)(x - 7) = 0
⇒ x + 7 = 0 and x - 7 = 0
⇒ x = - 7 = 0 and x = 7
Thus, the value of the solution to the given equation is 7,
Hence, the correct answer would be an option (D).
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adult entrance fees to amusement parks in the united states are normally distributed with a population standard deviation of 2.5 dollars and an unknown population mean. a random sample of 22 entrance fees at different amusement parks is taken and results in a sample mean of 61 dollars. use a calculator to find the margin of error for a 99% confidence interval for the population mean. round your answer to three decimal places.
After rounding to three decimal places, the margin of error for a 99% confidence interval for the population mean is 1.373 dollars.
To find the margin of error for a 99% confidence interval for the population mean, we'll follow these steps:
1. Find the critical value (z-score) for a 99% confidence interval. You can use a z-table or an online calculator. For a 99% confidence interval, the critical value is approximately 2.576.
2. Find the standard deviation of the sample. The problem states that the population standard deviation is 2.5 dollars.
3. Calculate the standard error by dividing the standard deviation by the square root of the sample size:
Standard Error = (Standard Deviation) / sqrt(Sample Size)
Standard Error = \(2.5 / \sqrt{22}\)
Standard Error ≈ 0.533
4. Multiply the critical value by the standard error to find the margin of error:
Margin of Error = Critical Value * Standard Error
Margin of Error = 2.576 * 0.533
Margin of Error ≈ 1.373
After rounding to three decimal places, the margin of error for a 99% confidence interval for the population mean is 1.373 dollars.
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Rounding to three decimal places, the margin of error is 1.911 dollars.
The margin of error for a 99% confidence interval for the population mean can be calculated using the following formula:
\(Margin of error = z\times (sigma / sqrt(n))\)
where:
z = the critical value of the standard normal distribution for a 99% confidence level, which is 2.576
sigma = the population standard deviation, which is 2.5 dollars
n = the sample size, which is 22
sqrt = the square root function
Plugging in the values, we get:
\(Margin of error = 2.576 \times (2.5 / \sqrt(22)) = 1.911\)
99% confident that the true population mean of adult entrance fees to amusement parks in the United States is within 1.911 dollars of the sample mean of 61 dollars.
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can someone help me with math please and thank you (please explain)
Answer:
To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
1. 11
2. 9
What is the interquartile range of this data set?
5, 5, 6, 7, 9, 11, 14, 17, 21, 23
Answer: 11
What is the interquartile range of this data set?
4, 5, 7, 9, 10, 14, 16, 24
Answer: 9
Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than
The third side of the triangle will be less than 35.
What is a triangle?A polygon with three angles, sides and angles is called a triangle.
Given that, Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than
We know that, triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
Therefore, length of the third side < 15+20 < 35
Hence, the third side of the triangle will be less than 35.
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Serial box manufacturer change the size of a box to increase the amount of cereal contains the expressions 10+6.3 n and 7 +6.5n where nis the number of smaller boxes are both representative of the amount of cereal that the new larger box contains how many more boxes equal the same amount of cereal in a larger box
To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.
To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.
Setting the expressions equal to each other:
10 + 6.3n = 7 + 6.5n
Simplifying the equation:
6.3n - 6.5n = 7 - 10
-0.2n = -3
Dividing both sides by -0.2:
n = -3 / -0.2
n = 15
Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.
The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.
To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.
By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.
This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.
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Joan needed $14 to buy some records. Her father agreed to pay her $3 an hour for gardening in addition to her
$2 weekly allowance for helping around the house. What is the minimum number of hours Joan must work at
gardening to earn $14 this week?
Answer:
4
Step-by-step explanation:
3x + 2 ≥ 14
3x ≥ 14 - 2
3x ≥ 12
x ≥ 12/3
x ≥ 4
Please Help Me
SIMPLIFY
Answer:
x+7/x+6
Step-by-step explanation:
Brian creates the graph of function g by applying a transformation to function f:
f(x)=4^x+1
g(x)=1/8(4)^x+1
Which transformation did Brian apply?
a vertical compression by a factor of 1/8
a vertical stretch by a factor of 8
a horizontal stretch by a factor of 8
a horizontal compression by a factor of 1/8
Please help worth 20 pts.
Answer:
a vertical compression by a factor of 1/8
Step-by-step explanation:
Answer:
a vertical compression by a factor of \(\frac{1}{8}\)
Step-by-step explanation:
Start with the original function \(f(x) = 4^x+1\).
Apply the vertical compression by multiplying the function by \(\frac{1}{8}\):
\(g(x) = (\frac{1}{8} ) * 4^x+1\).
Simplify the expression:
\(g(x) = \frac{1}{8} * 4^x * 4^1\).
Use the property of exponents \((a^{b+c} = a^b * a^c)\) to simplify further:
\(g(x) = \frac{1}{8} * (4^x * 4)\).
Simplify the expression inside the parentheses:
\(g(x) = \frac{1}{8} * (4^{x+1} )\).
Can someone please help me with this?
Answer: -5
Step-by-step explanation:
When x = 8, y = -5.
( –2x – 14x2) – ( 10x – 2) + 2(10x3 – 3)
Answer:130
Step-by-step explanation:\
PLEASE HELP !!!!!!!! Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!
Answer:
ummm ummm i dont know
Step-by-step explanation:
Answer:
B (-5,5)
Step-by-step explanation:
-12+a/2=-6
-7+a=-12
a=-12+7
a=-5
-3+b/2=1
-3+b=2
b=2+3
b=5
A normal probability distribution a. can be either continuous or discrete. b. is a continuous probability distribution. c. must have a standard deviation of 1. d. is a discrete probability distribution.
The correct answer is b. A normal probability distribution is a continuous probability distribution, which means that it can take on any value within a given range.
This type of distribution is often used to model real-world phenomena that are measured on a continuous scale, such as height or weight. Unlike discrete probability distributions, which have a finite number of possible outcomes, a continuous distribution has an infinite number of possible outcomes. It's important to note that while a normal distribution is continuous, not all continuous distributions are normal. A normal distribution has a specific bell-shaped curve that is defined by its mean and standard deviation, and it is often used in statistical analysis to make predictions about the likelihood of certain events occurring within a given population. In summary, a normal probability distribution is a type of continuous probability distribution that is often used to model real-world phenomena. While it has a specific shape and can be described by its mean and standard deviation, it is not always the best model for every situation.
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Evaluate the expression
so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16
a batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement. assume 10 of the chips do not conform to customer requirements. how many different samples are possible?
A batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement and the different samples possible are 416,965,528.
A batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement.
Assume 10 of the chips do not conform to customer requirements
The different number of samples can be calculated by combinations and permutations.
Given n = 140 semiconductor chips
r = 5 chips without replacement
The number of different samples can be calculated using combinations formulae. The batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement.
n = 140
r = 5
10 of the chips do not conform to customer requirements.
order is not important, whether chip selected last or at the first, by using the combinations formulae , we get
n! / (r!)(n! - r!)
140! / (5!) (140! - 5!)
140! / (5!) (135!)
So, the number of different samples possible are 416,965,528.
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