Answer:b
Step-by-step explanation:
Because the calculations
467.822
Round the number above to the nearest tenth.
Answer:
467.800
Step-by-step explanation:
A set of data with a mean of 53 and a standard deviation of 2.3 is normally distributed. Find the values that are 3 standard deviations from the mean.
Answer:A z-score is measured in units of the standard deviation. ... is two, the value 11 is three standard deviations above (or to the right of) the mean. ... The following two videos give a description of what it means to have a data set that is “normally” distributed. ... The z-scores for µ+3σ and µ–3σ are +3 and –3 respectively.
Step-by-step explanation:
The correlation coefficient for the scatterplot above is r=0.41. The point (18,78) appears to be an outlier since it doesn't follow the general pattern of the data, so we want to determine how much it influences the value of r. To do this, we remove the outlier from the data set and recalculater. How will removing the outlier affect the value of the correlation coefficient, r? o The correlation coefficient would increase to a value higher thanr=0.41. o The correlation coefficient would remain the same (r = 0.41). o The correlation coefficient would decrease to a value lower thanr=0.41
The correlation coefficient would decrease to a value lower than r = 0.41 if the outlier (18, 78) is removed from the data set.
The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. Removing an outlier from the data can affect the correlation coefficient because it changes the overall pattern of the data.
In this case, the outlier (18, 78) appears to be an extreme value that doesn't follow the general trend of the other data points, which are more closely clustered around the line of best fit.
When the outlier is removed, the remaining data points are likely to be more closely correlated, which will result in a lower correlation coefficient. Therefore, removing the outlier from the data set will cause the correlation coefficient to decrease to a value lower than r = 0.41.
Learn more about correlation coefficient:
https://brainly.com/question/27842223
#SPJ4
A worker earning an hourly wage changes positions within a company. The new position comes with a 20% raise in hourly wage. The
worker also receives a $2 increase in hourly wage. Use composition of functions to write a function that represents the worker's new
hourly wage when the 20% raise is applied before the $2 raise.
f(x) =
This function gives the same result as the previous function we derived, but it expresses the calculation as a composition of the two separate functions that represent each raise separately.
What is function?A function is a set of instructions or statements that perform a specific task or computation and returns a value or result. In programming, a function is typically defined using a specific syntax and can be called or invoked by other parts of the program to carry out a particular operation.
Functions are used in programming to break down complex tasks into smaller, more manageable pieces of code, which can then be reused in multiple parts of the program. They can also help to improve the organization, readability, and maintainability of code.
by the question.
let the worker's original hourly wage be represented by the variable x. Then the function for the worker's new hourly wage when the 20% raise is applied before the $2 raise can be expressed as follows:
\(f(x) = (1.20x) + 2\)
In this function, the expression (1.20x) represents the worker's hourly wage after the 20% raise is applied, and the additional $2 raise is added to this amount to determine the final hourly wage.
We can also express this function using function composition notation. Let g(x) represent the function that applies the 20% raise to the worker's hourly wage and let h(x) represent the function that adds the $2 raise to the resulting hourly wage. Then we have:
\(g(x) = 1.20x\)
\(h(x) = x + 2\)
Using function composition, we can write the function for the worker's new hourly wage as:
\(f(x) = h(g(x)) = h(1.20x) = 1.20x + 2\)
To learn more about function:
https://brainly.com/question/21145944
#SPJ1
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
To learn more about Fraction here,
https://brainly.com/question/10354322
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich at dinner. How much of the sandwich did jimmy eat in all.
Answer:
Step-by-step explanation:
1/3+2/3=3/3=1
So he ate the whole sandwich.
Answer:
He ate the entire sandwich.
Step-by-step explanation:
1/3 + 2/3 = 1
Mark me as brainliest pls.
Help me please. You can get 20 points
a. The marginal profit function Py is Py = -30x + 47y - 915 and
b. Change in profit if price increase by 1 cent is 831 cents.
Understanding Profit FunctionTo find the marginal profit functions Px and Py, we need to find the partial derivatives of the profit function P(x, y) with respect to x and y, respectively.
Given:
P(x, y) = (x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)
a. Marginal profit function Px:
To find Px, we differentiate P(x, y) with respect to x while treating y as a constant:
Px = ∂P/∂x = (∂/∂x) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]
Expanding the terms and simplifying:
Px = (55 - 4x + 5y) + (x - 40)(-4) + (70 + 5x - 7y)(5)
Simplifying further:
Px = 55 - 4x + 5y - 4x + 40 + 350 + 5x - 7y
Combining like terms:
Px = 355 - 3x - 2y
b. Marginal profit function Py:
Similarly, to find Py, we differentiate P(x, y) with respect to y while treating x as a constant:
Py = ∂P/∂y = (∂/∂y) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]
Expanding the terms and simplifying:
Py = (x - 40)(5) + (70 + 5x - 7y)(-7) + (y - 45)(5)
Simplifying further:
Py = 5x - 200 - 7y - 490 - 35x + 49y + 5y - 225
Combining like terms:
Py = -30x + 47y - 915
This is the profit function Py.
b. Estimating the daily change in profit:
To estimate the daily change in profit, we need to evaluate Px and Py at the given prices and calculate the change in profit when the prices are increased as specified.
Given initial prices:
First brand price (x) = 70 cents
Second brand price (y) = 73 cents
To estimate the change in profit, we substitute the initial prices into Px and Py and calculate the results:
Px(70, 73) = 355 - 3(70) - 2(73)
= 355 - 210 - 146
= -1
Py(70, 73) = -30(70) + 47(73) - 915
= -2100 + 3431 - 915
= 416
The daily change in profit can be estimated by multiplying the changes in price (1 cent for the first brand and 2 cents for the second brand) with the respective marginal profit functions:
Change in profit = ΔP ≈ Px(70, 73) * 1 + Py(70, 73) * 2
≈ -1 * 1 + 416 * 2
≈ -1 + 832
≈ 831 cents
Therefore, the estimated daily change in profit when the salesperson increases the price of the first label by 1 cent and the price of the second label by 2 cents is 831 cents.
Learn more about profit function here:
https://brainly.com/question/16866047
#SPJ1
given that y various with x, find the equation of direct variation when x=11 and y=14
Answer:
The equation of direct variation relates two variables that vary proportionally to each other, and can be written as y = kx, where k is the constant of proportionality. To find k, we can plug in the values of x and y given in the problem and solve for k:
y = kx
14 = k(11)
k = 14/11
Now that we know k, we can write the equation of direct variation as:
y = (14/11)x
Therefore, when x = 11 and y = 14, the equation of direct variation is y = (14/11)(11) = 14.
20 percent of 180 hours
Answer:
36 hours
Step-by-step explanation:
To find the percentage of a number, change the percent to decimal form
20 percent = .20
Multiply this by the number
.20 * 180
36
20 percent of 180 = 36
PLEASE HELP WITH THIS PROBLEM
Answer:
x=4
Step-by-step explanation:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Question 1 of 10
Simplify the following expression.
3x^4+2x³-5x² +4x²+6x-2x-3x^4 +7x^5-3x³
Combining like terms yields 7x⁵ - x³ - x² + 4x.
Grady marks down some $2.59 pens to $2.09 for a week and then makes them back up to $2.59. Find the percent of increase and the percent of decrease to the nearest tenth, Are the percents of change the same for both price changes? If not, which is a greater change? Complete the explanation, and round your percents to the nearest tenth.
The percentage decrease is 19%, the percentage increase is 24%
The percentage changes are not the sameThe percentage increase is greater than the percentage decrease How to determine the percentage of increase and decrease?From the question, we have the following parameters that can be used in our computation:
Initial value = $2.59
Next value = $2.09
Final value = $2.59
The percentage decrease
The percentage of the decrease is then calculated using the following percentage equation
Percentage decrease = (Final amount - Initial amount)/Initial amount * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage decrease = (2.09 - 2.59)/2.59 * 100%
Evaluate
Percentage decrease = -19%
The percentage increase
The percentage of the increase is then calculated using the following percentage equation
Percentage increase = (Final amount - Initial amount)/Initial amount * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage increase = (2.59 - 2.09)/2.05 * 100%
Evaluate
Percentage increase = 24%
The percentage changes are not the same, and the percentage increase is greater
Read more about percentage change at
brainly.com/question/15056889
#SPJ1
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
What are the coordinates of the image of the point (-4,-5) after reflecting over the y-axis
After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Pls Help I will give Brainliest!
Answer:
Step-by-step explanation:
What percent larger is 20.49 trillion to 13.4 trillion
The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.
What is Percentage?Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".
To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:
Percent change = (New value -Old value) /Old value * 100%
Plugging in the values we have:
Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%
= 7.09 trillion / 13.4 trillion * 100%
= 52.84%
Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.
To know more about Fraction visit:
https://brainly.com/question/11947917
#SPJ1
zeros for f(x) = |2x-5| -1
Answer:
Step-by-step explanation:
f(x) = 2x - 5 - 1
f(x) = 2x - 6
when 2x - 6 = 0 It means that y = 0
2x - 6 = 0
2x = 6
x = 6/2
x = 3
-(2x -5) - 1 = 0
-(2x - 5) = 1
-2x + 5 = 1
-2x = 1 - 5
-2x = - 4
x = -4/-2
x = 2
So the two zeros are
(2,0)
(3,0)
13) Identify the trigonometry ratio that would be used to find a.
14) Identify the trigonometry ratio that would be used to find x.
The trigonometry ratio that would be used to find a and x is 13. Sine and 14. Tangent.
What is tangent of a function?The right triangle is the foundation of trigonometry. Hence, one of the relationships in that right triangle is defined by the tangent. The ratio of the opposing side to the adjacent side of a specific right triangle angle is the connection that the tangent specifies. You must first identify the hypotenuse in order to find the tangent. The hypotenuse is generally the longest side of the right triangle. After labelling your sides, you proceed to take the proper ratio.
The value of a is opposite to the given angle.
Here, the value of hypotenuse is also known.
Hence, the trigonometric identity that gives the relationship between opposite side and hypotenuse is sine. Option A is the correct answer.
14. For the triangle the segments are opposite side and adjacent side to the given angle.
Hence, the trigonometric identity that gives the relationship between opposite side and adjacent side is tan. Option C is the correct answer.
Learn more about tangent here:
https://brainly.com/question/19064965
#SPJ1
been stuck on this for a few days now, help on even one would be greatly appreciated!!!
Answer:
-5-9i
Step-by-step explanation:
-1-8i-4-i
-1-4-8i-i
-5-9i
Solve the following equation for b. You may assume all variables are positive
so do not use or absolute values.
m = 4fb²-g²
Answer:
b = √(m+g²)/4f
Step-by-step explanation:
I have 10 coins in my pocket, all nickels and
dimes.In total I have 65 cents. How many of each
coin do I have?
In a park there are 1596 trees in 42 rows. If each row has the same number of trees, estimate the number of trees in one row, rounded off to the nearest tens.
Answer:
27. If the mean of 2, x, 5, 4 and 3 is 3, what is the value of x
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
3 Mallie purchases a $12,000 car by taking out a loan. She will pay an 8% sales tax on the price of the car. She has also agreed to pay the loan plus tax back within 36 months at a simple Interest rate of 5%. Find each value listed in the table below, as well as the minimum monthly payment Mallie should make in order to repay the loan within the allotted time. Use the space provided to show your process.
What is the decimal equivalent of 714.45/9 ?
Answer:
Step-by-step explanation:
decimal equivalent of 714.45/9
divide it by 9 taking to 79.383333
ellen says that 2 4/9 equals to 9/22. is she correct?
explain why or why not.
Answer:
no
Step-by-step explanation:
The left side
2.4
does not equal to the right side
0.409
, which means that the given statement is false
How many groups of Two-thirds are in Three-fifths? A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction. StartFraction 9 Over 15 EndFraction StartFraction 9 Over 10 EndFraction 1 and one-third 1 and StartFraction 1 over 9 EndFraction
Answer:
b
Step-by-step explanation:
Answer:
hi 9/10 is incorrect
Step-by-step explanation:
Question is in picture
Answer:
If the candy was in whole of in peices
Step-by-step explanation:
A dependant variable is something you do to change a result, so breaking tha candy would be the dependant variable because they werre trying to see if breaking the candy would lead to diffrent results.
Just so you remember for next time:
an Indipendent variable is something that is constant that we can not change
and a dependent variable is something that we change to get a diffrent response.