How many 2/3s in 3? Show your working out.
Using the division operation, the number of 2/3's in 3 is 4
Using Division3 ÷ 2/3
change the sign to multiplication and take inverse of 2/3
3 × 3/2 = 9/2 = 4.5
We need only the whole number value .
Therefore, the number of 2/3's in 3 is 4.
Learn more on division:https://brainly.com/question/78672
#SPJ1
A boat is heading towards a lighthouse, whose beacon-light is 117 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 3°. What is the
ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to
the nearest hundredth of a foot if necessary.
Step-by-step explanation:
this should help in case you don't understand feel free to contact me
Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?
A 1/6
B 1/3
C 1/2
D 3
Please help!
Answer: that means you have a 3/6 chance which can be simplified to 1/2
1, 3 and 5 are the odd numbers
Step-by-step explanation:
Answer:
the answer is c 1/2
Step-by-step explanation:
since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2
HELP
when 10 is the input, the output is 1.0. what would the output be if the input was 9
Answer:
I'm guessing 0.9
Step-by-step explanation:
Find the product.
-7(-a 2)(-5)
Answer:
3
5
(
−
2
)
Step-by-step explanation:
Simplify then multiple the numbers
Draw the Region, the axis of revolution, specify the method, state the formula, solve
The volume of the solid of revolution created by rotating the function f(x) = x^2 about the x-axis between x=0 and x=2 is approximately 20.106 cubic units.
Figure out the axis of revolution and specify the method?The axis of revolution is a line about which a two-dimensional shape is rotated to create a three-dimensional solid. The method for finding the formula to solve for the volume of a solid of revolution depends on the shape being rotated and the axis of revolution.
For example, if we want to find the volume of a solid of revolution created by rotating a function f(x) about the x-axis between the limits of integration a and b, we can use the following formula:
V = π∫[a,b] (f(x))^2 dx
This formula is derived from the shell method, which involves breaking the solid into thin cylindrical shells, finding the volume of each shell, and adding them up. The formula is then the integral of the volume of each shell.
To solve this integral, we can use various methods such as integration by substitution or integration by parts. Once we have found the antiderivative of the integrand, we can evaluate the definite integral using the limits of integration a and b.
For example, if we have the function f(x) = x^2 and we want to find the volume of the solid of revolution created by rotating this function about the x-axis between x=0 and x=2, we can use the formula:
V = π∫[0,2] (x^2)^2 dx
Simplifying this expression, we get:
V = π∫[0,2] x^4 dx
Integrating this expression with respect to x, we get:
V = π[(1/5)x^5] [0,2]
Evaluating this expression at the limits of integration, we get:
V = π[(1/5)(2^5 - 0)]
V = π(32/5)
Therefore, the volume of the solid of revolution created by rotating the function f(x) = x^2 about the x-axis between x=0 and x=2 is approximately 20.106 cubic units.
Learn more about Axis of revolution
brainly.com/question/28649256
#SPJ11
Patrick has a 2L Dr. Pepper . How many milliliters is this equivalent to ?
2 Liter units of Dr. pepper is equal to 2000 milliliters.
What is a unit?
A unit is a standard quantity used to measure a physical or abstract property or phenomenon. Units are used to express numerical values and to communicate measurements in a standardized way. In science, engineering, and mathematics, it is essential to use standard units to ensure that measurements are accurate, reliable, and comparable.
There are different types of units, including base units, derived units, and SI units. Base units are fundamental units that cannot be expressed in terms of other units, such as the meter (for length), the kilogram (for mass), and the second (for time). Derived units are units that are created by combining base units, such as the newton (for force) which is derived from the kilogram, meter, and second. SI units (International System of Units) are a standardized set of units that are used in most countries around the world, and they include both base units and derived units.
Now,
One liter is equivalent to 1000 milliliters.
So, 2 liters would be equivalent to:
2*1000 mL = 2000 mL
So,
Patrick's 2L Dr. Pepper is equivalent to 2000 milliliters.
To know more about units visit the link
brainly.com/question/96060
#SPJ1
How do you solve for x in an angle?
To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.
How to solve for x at a right angle?To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.
How to solve for x at an obtuse angle?To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.
How to solve for x in an acute angle?To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.
Learn more about acute angle here: brainly.com/question/6979153
#SPJ4
h(x) = x2 – 1
Over which interval does h have a negative average rate of change ?
Answer:
Step-by-step explanation:
hello : here is an solution
Question 1 (2 x 12 = 24 marks) Analyze and discuss the performance (in Big-O notation) of implementing the following methods over Singly Linked List and Doubly Linked List Data structures: To be submitted through Turnitin.Maximum allowed similaritv is 15% Operation Singly Linked List Doubly Linked List add to start of list Big-O notation Explanation add to end of list Big-O notation Explanation add at given index Big-O notation Explanation
In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.
Add to Start of List:
Singly Linked List: O(1)
Doubly Linked List: O(1)
Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.
This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.
Add to End of List:
Singly Linked List: O(n)
Doubly Linked List: O(1)
Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.
In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.
This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.
Add at Given Index:
Singly Linked List: O(n)
Doubly Linked List: O(n)
Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.
This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.
Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.
In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.
On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.
To learn more about Big-O notation visit:
brainly.com/question/30452896
#SPJ11
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with ? = 6. The hypotheses H0: ? = 73 and Ha: ? < 73 are to be tested using a random sample of n = 25 observations.
(a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.)
(b) If x = 72.3, what is the conclusion using ? = 0.005?
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
(c) For the test procedure with ? = 0.005, what is ?(70)? (Round your answer to four decimal places.)
(d) If the test procedure with ? = 0.005 is used, what n is necessary to ensure that ?(70) = 0.01? (Round your answer up to the next whole number.)
(e) If a level 0.01 test is used with n = 100, what is the probability of a type I error when ? = 76? (Round your answer to four decimal places.)
(a) The number of standard deviations below the null value for x = 72.3 is approximately -1.21.
(b) Using α = 0.005, the conclusion is to reject the null hypothesis since the test statistic falls in the critical region. The test statistic is approximately -2.15, and the p-value is approximately 0.0161.
(a) How many standard deviations below the null value is x = 72.3?(a) To find the number of standard deviations below the null value for x = 72.3, we subtract the null value (73) from the observed value (72.3) and divide by the standard deviation (6). This gives us (-0.7) / 6 = -0.1167, which can be rounded to -1.21.
(b) To test the hypothesis with α = 0.005 and x = 72.3, we calculate the test statistic. The test statistic is given by (x - μ) / (σ / √n), where x is the sample mean, μ is the null value, σ is the standard deviation, and n is the sample size. Plugging in the values, we get (-0.7) / (6 / √25) = -2.15 (rounded to two decimal places).
Next, we determine the p-value associated with the test statistic. Since the alternative hypothesis is one-sided (Ha: μ < 73), we look up the p-value for -2.15 in the t-distribution with n-1 degrees of freedom. The p-value is approximately 0.0161 (rounded to four decimal places).
(c) For the test procedure with α = 0.005, we want to find the critical value at which the test statistic corresponds to a probability of α in the left tail of the t-distribution. We look up the critical value for α = 0.005 in the t-distribution with n-1 degrees of freedom. Let's denote this critical value as c. Then, we can find c such that P(T < c) = α, where T is a random variable following a t-distribution with n-1 degrees of freedom.
(d) To ensure that P(T < c) = 0.01 when α = 0.005, we need to find the sample size n. We can use the t-distribution and the critical value c from part (c) to solve for n. The equation becomes P(T < c) = 0.01 = α. By looking up the critical value c in the t-distribution table and solving the equation, we can find the required sample size n.
(e) If a level 0.01 test is used with n = 100, we want to find the probability of a Type I error when the true population mean is μ = 76. The probability of a Type I error is equal to the significance level (α) of the test. In this case, α = 0.01. Therefore, the probability of a Type I error is 0.01.
Learn more about standard deviations
brainly.com/question/29115611
#SPJ1
An equation for a house's value is y = 7500x + 125000,
where y is the value in dollars and
x is the time in years, starting now.
a) What is the y-intercept of this equation?
b) What does the y-intercept represent?
c) What is the value of the house 2 years from now?
d) At what rate is the house value changing from year to year
9514 1404 393
Answer:
a) 125000
b) the value now
c) 140000
d) 7500 per year
Step-by-step explanation:
a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.
__
b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.
__
c) When x=2, the value is ...
y = 7500(2) +125000 = 140000
The value of the house is projected to be 140000 two years from now.
__
d) The coefficient of x being 7500 means the value will increase 7500 each year.
Y = -(X +5) + X +4 if X = -4. Y = ?
Answer:
y=-1
Step-by-step explanation:
A triangle has sides measuring 8 inches, 5 inches and 4 inches. How would you classify it?
Answer:
Acute triangle because the angles are smaller than a right triangle
Step-by-step explanation:
As 5² + 4² < 8² it falls into the category of a² + b² < c², therefore it is an acute angle triangle.
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, A triangle has sides measuring 8 inches, 5 inches and 4 inches.
So, 5² + 4² ? 8².
25 + 16 ? 64.
41 ? 64.
So, 41 < 64 therefore it is a² + b² < c² then it is an acute angle triangle.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
Gabriel and Jared weighed their pet cats. Gabriel's cat weighed 6 1/2 pounds and Jared's cat weighed 7 2/3 pounds. If they weighed both cats at once, how much would the cats weigh in all?
The cats weigh 14 1/6 pounds in all.
To add these two weights, we need to make sure they are using the same units. We can convert the mixed numbers to improper fractions and find a common denominator:
Gabriel's cat: 6 1/2 pounds = 13/2 pounds
Jared's cat: 7 2/3 pounds = 23/3 pounds
To find a common denominator, we can multiply the denominators together: 2 x 3 = 6.
Gabriel's cat: 13/2 pounds = 39/6 pounds
Jared's cat: 23/3 pounds = 46/6 pounds
Now we can add the weights:
39/6 pounds + 46/6 pounds = 85/6 pounds
So together, the cats weigh 85/6 pounds, which is equal to 14 1/6 pounds (since 6 goes into 85 fourteen times with a remainder of 1).
Find out more about Pounds
brainly.com/question/14539222
#SPJ4
Part 4: solve a real-world problem using an absolute fraction
A transaction is a positive if there is a sale and negative when there is a return. Each time a customer uses a credit cards for a transaction,the credit company charges Isabel.The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
Latex represent the amount of transaction and f(x) represent the amount Isabel is charged for the transaction.Write a function that expresses f(x).
a) A function that expresses f(x) is f(x) = 1.5x.
b) A graph of the function is shown in the image below.
c) The domain and range of the function are all real numbers or [-∞, ∞].
How to write a function that describes the situation?Assuming the variable x represent the amount of a transaction and the variable f(x) represent the amount Isabel is charged for the transaction, a linear function charges on each sale by the credit card company can be written as follows;
f(x) = 1.5x
Part b.
In this exercise, we would use an online graphing tool to plot the function f(x) = 1.5x as shown in the graph attached below.
Part c.
By critically observing the graph shown below, we can logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-∞, ∞] or all real numbers.
Read more on domain here: brainly.com/question/9765637
#SPJ1
Complete Question:
A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
a) Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x).
b) Graph the function.
c) What are the domain and range of the function?
At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?
HELP ME
Answer:
A is correct
Step-by-step explanation:
You have to find the rate of change for each one.
Divide the price with the amount
Hope this helps!
a tukey multiple comparison is performed to compare the means of 5 populations. how many confidence intervals will be obtained?
There will be 10 confidence intervals obtained in a Tukey multiple comparison of 5 populations.
In a Tukey multiple comparison, the confidence intervals are constructed to compare the means of all pairs of groups. To calculate the number of confidence intervals, we use the following formula:
C = n(n-1)/2
Where C is the number of confidence intervals, and n is the number of groups. In this case, there are five populations being compared, so n=5. Plugging this into the formula, we get:
C = 5(5-1)/2 = 10
Each confidence interval will provide information about the difference between the means of two groups, with a certain level of confidence. These confidence intervals can be used to identify which pairs of groups have significantly different means.
To learn more about confidence intervals click on,
https://brainly.com/question/28213446
#SPJ4
421 3/50 - 212 9/10=
The answer is 208 4/25 or if you need decimal form 208.16
answer is
\(208 \frac{4}{25} \)
in decimal form.. it will be,
\(208.16\)
Write the ratio 6 mm: 180 cm in the form 1:n
The ratio in the form of 1 :n is 1:300.
What is a ratio ?Ratio of two number A and B is the comparison of A with respect to B and when two ratios are equal they are said to be in proportion.
It is given that a ratio is
6mm : 180cm
It has to be simplified in the form of
1:n
1 cm = 10mm
therefore
180 cm = 1800 mm
6mm:180cm = 6/ 1800
= 1/300
Therefore the ratio in the form of 1 :n is 1:300.
To know more about Ratio
https://brainly.com/question/13419413
#SPJ1
PLEASE PLEASE PLEASE HELP ILL GIVE BRAINEST PLEAESE
Answer:
The last one
Step-by-step explanation:
There are two of the same x-values, meaning it is not a function.
Hopefully this helps!
Brainliest please?
Evaluate 11.5x + 10.9y when x = 6 and y =7
The value of the algebraic expression 11.5x + 10.9y at x = 6 and y = 7 is 145.3
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.5x + 10.9y
We have to find the value of the algebraic expression at x = 6 and y = 7
Putting x = 6 and y = 7 in the algebraic expression,
\(11.5 \times 6 + 10.9 \times 7\)
69 + 76.3
145.3
To learn more about algebraic expression, refer to the link-
https://brainly.com/question/2164351
#SPJ1
A hypothesis can be differentiated from a theory because it is...
a. a specific prediction arising from the theory. c. it talks about how one specific variable affects d. all of the above.
A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.
Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.
A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.
Learn more about hypothesis from the given link
https://brainly.com/question/32562440
#SPJ11
Given the condition that you know a student has purchased at least one of the items. What is the probability as a percentage that they purchased only one of the items?
Step-by-step explanation:
This is a case of conditional probability, in which we have to find the probability of ocurance of event E when when event F has already ocured.
To find the probability of at least one of something, calculate the probability of none and then subtract that result from 1.
That is, P(at least one) = 1 – P(none)
8(y-1)-3y=6(2y-6) help plsss
Answer:
y = 4
Step-by-step explanation:
First, distribute 8 through the parentheses
8y - 8 - 3y = 6(2y - 6)
Then, distribute 6 through the parentheses
8y - 8 - 3y = 12y - 36
Collect like terms (8y - 3y)
5y - 8 = 12y - 36
Move the variable (12y) to the left hand side and change its sign
5y - 12y - 8 = -36
Move the constant (-8) to the right hand side and change its sign
5y - 12y = -36 + 8
Collect like terms
-7y = -36 + 8
Calculate the sum
-7y = -28
Divide both sides of the equation by -7
y = 4
Create an equivalent expression that includes a set of parentheses that make the value of the expression 5. Remember, you can have 2 or more numbers within the set of parentheses.
32 ÷ 10 - 8 ÷ 2 - 3
need help with #9, & #10 please
Step-by-step explanation:
the line equation is in the slope-intercept form.
that looks like
y = ax + b
"a" is the slope (always the factor of x). "b" is the y-intercept (the y value when x = 0).
so, when it says "the same slope", we know we have to use the same factor of x.
and yes, the coordinates of a point are (x, y). so, you really need to use it in the places of x and y to get "b".
9.
y = -4x + b
2 = -4×0 + b = b
so, yes, the equation is
y = -4x + 2
but as you can see : b is NOT y in general.
10.
y = 2/3 x + b
-1 = 2/3 × 4 + b = 8/3 + b
now, let's multiply both sides by 3 to get rid of the fraction :
-3 = 8 + 3b
-11 = 3b
b = -11/3
so, the equation is
y = 2/3 x - 11/3
or
y = 1/3 × (2x - 11)
The sum of 4 consecutive integers is 126 what is the second highest integer
Second highest integer will have value of \(n+2\).
\(
n+(n+1)+(n+2)+(n+3)=126 \\
4n+6=126 \\
n=30
\)
So the value of the second highest of the consecutive integers is 32.
Hope this helps.
Answer:
32
Step-by-step explanation:
First, we must create an equation. If the integers are consecutive, it means that one comes right after the other (the difference is one). Here is the equation that will allow us to solve this problem: (x) + (x + 1) + (x + 2) + (x + 3) = 126. Note that, although I have added parenthesis, these are just to separate each of the four integers we have not solved for yet. In your work, they will not make a difference in the answer!
Second, let's solve, beginning by combining like terms! There are four x's and 6 "regular" numbers (numbers without coefficients, in this case found by taking 1+2+3). This can be written out like so: 4x + 6 = 126.
Next, we must subtract the 6 from the left side and the right side in order to keep them equal. This gives us: 4x = 120.
Finally, let's divide both sides by four to find x!!! 120/4 = 30, meaning that: x = 30! For the last step, we must add 1, 2, and 3 to 30 to find all of the numbers. 30 + 1 = 31; 30 + 2 = 32, and 30 + 3 = 33! This gives us all four of our numbers: 30, 31, 32, and 33. The second highest of these is 32, which is our answer!
If you have any additional questions, please just comment below my answer and I'd be happy to help!
let f(x y)=1+sqrt(4-y^2)
-evaluate f(3, 1)
-find and sketch the domain of f
-find the range of f
Refer to the attached graph for the function's range and domain.
To evaluate f(3, 1), we substitute x = 3 and y = 1 into the function:
f(3, 1) = 1 + √(4 - 1²) = 1 + √(3) = 2.732
To find the domain of f, we need to identify any restrictions on the possible values of x and y that would make the function undefined.
Here, the only restriction is on the value of y since the square root is undefined for negative values.
Therefore, the domain of f is all points (x, y) where 4 - y² ≥ 0, or y² ≤ 4. This is the region between the vertical lines y = -2 and y = 2, inclusive.
To find the range of f, we need to determine the possible values of f(x, y) as (x, y) varies over the domain of f.
Since the square root term is always non-negative, the minimum value of f(x, y) is 1, which occurs when y = ±2.
To find the maximum value, we need to maximize the expression 1 + sqrt(4 - y²) subject to the constraint y² ≤ 4.
Using calculus, we can find that this occurs when y = 0, giving a maximum value of f(x, y) = 3. Therefore, the range of f is [1, 3].
To sketch the domain, we can draw the vertical lines y = -2 and y = 2 and shade the region between them, including the lines. This gives a horizontal strip centered at x = 0 and extends infinitely in both directions.
Learn more about function here:
https://brainly.com/question/29633660
#SPJ1
Explain the difference between a sample and a census. Every 10 years, the U.S. Census Bureau takes a census. What does that mean?
The U.S. Census Bureau takes a census every 10 years, which means that they attempt to count every person living in the United States and collect data on various demographic and social characteristics.
A sample is a subset of a larger population, selected in a way that it represents the characteristics of the population from which it is drawn. The purpose of sampling is to estimate or infer something about the population based on the characteristics of the sample.
On the other hand, a census is a survey or count that attempts to measure every member of a population.
In a census, data is collected on every individual or item in a population, rather than just a representative sample.
If you wanted to estimate the average income of households in a city, you could select a sample of households and estimate the average income based on the incomes of the sampled households.
This would be an example of sampling.
Alternatively, you could conduct a census of every household in the city, collecting income data from every household, and calculate the exact average income of all households in the city.
The purpose of the census is to provide a complete and accurate count of the population, which can then be used to allocate political representation and government funding, as well as to provide data for research and planning purposes.
For similar questions on census
https://brainly.com/question/25846785
#SPJ11