Mean height of the students in the class = 65.7 inches
The mean height of all 12 students in the class is 66.0 inches.
So the Total height of 12 students in the class = 66 × 12
= 792 inches
As Danielle's height = 62.1 inches
So the total height of 13 students = 792 + 62.1
= 854.1 inches
Mean of all 13 students in the class = 854.1 / 13
= 65.7 inches
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The complete question:
Mr. Zuro finds the mean height of all 12 students in his class to be 66.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 62.1 inches tall. What is the mean of the 13 students in the class?
A real estate agent received a $7,000 commission for a sale of $175,000. Find the percent of the commission.
Show ALL work for brainliest! + 20 points
4% is the answer!!!!!!!
NEED HELP ASAP *REAL ANSWERS PLS*
Solve the inequality: 22 – 3
Hello!
Answer:
22-3= 19
Step-by-step explanation:
Hope this helps!
a survey questionnaire asked about marital status. the best way to visually display the results is: group of answer choices a.bar graph b.bell curve c.histogram d.scatterplot
The best way to visually display the results of a survey questionnaire on marital status is through a bar graph. So, correct option is A.
A bar graph is an effective and commonly used visualization tool for displaying categorical data, such as different marital statuses. It presents the data in a visual format where each category is represented by a separate bar, and the height or length of the bar corresponds to the frequency or proportion of responses in that category.
In the case of marital status, the categories can include options like "married," "single," "divorced," "widowed," etc. The bar graph allows for a clear comparison between the different categories and easily identifies the most common or least common marital statuses based on the heights of the bars.
On the other hand, options like a bell curve (b), histogram (c), or scatterplot (d) are more suitable for visualizing continuous or numerical data rather than categorical data like marital status. These types of graphs are better suited for displaying data distributions, relationships between variables, or frequency distributions of continuous variables.
So, correct option is A.
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pls, help me with this...
i- I'll put brainiest!
This equation shows how the number of pictures Carrie has taken so far this year is related to the number of days she spends on vacation. p = d + 9. The variable d represents the number of days she spends on vacation, and the variable p represents the total number of pictures taken this year. How many days will Carrie have to spend on vacation before she will have taken 17 pictures? *
Answer: 8
Step-by-step explanation: Carrie already has taken 9 pictures. This means you have to subtract 9 from 17. That leaves 8 more photos to take.
The distance from city a to city b is 1400 miles and from city a to city c is 500 miles. Estimate how many miles farther city b is from city a than city c is
Answer:
900 miles
Step-by-step explanation:
Given that:
Distance from City A to city B = 1400 miles
Distance from City A to City C = 500 miles
Miles farther city B is from city A than city C is ;
Distance from A to B - Distance from A to C
1400 miles - 500 miles
= 900 miles
How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4?
g(x) is shifted 2 units to the right and reflected over the x-axis.
g(x) is shifted 2 units to the left and reflected over the x-axis.
g(x) is shifted 2 units to the right and 1 unit up.
g(x) is shifted 2 units to the right and 1 unit down.
Given:
\(g(x)=-(x-2)^4\)
\(f(x)=x^4\)
To find:
How does the graph of g(x) compare to the parent function of f(x)?
Solution:
The translation is defined as
\(g(x)=kf(x+a)+b\) .... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then graph of f(x) reflected over x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
\(f(x)=x^4\)
\(g(x)=-(x-2)^4\)
So,
\(g(x)=-f(x-2)\) ...(2)
From (i) and (ii), we get
\(k=-1<0\), it means g(x) reflected over the x-axis.
\(a=-2<0\), it means g(x) shifted 2 units to the right .
Therefore, the correct option is A.
Answer:
A. g(x) is shifted 2 units to the right and reflected over the x-axis.
Step-by-step explanation:
A box of 15 cloud markers cost $12. 70. A box of 42 cloud markers cost $31. 60. How much would a box of 50 cloud markers cost? Write an equation that shows the price, p, for n markers in ab ox. Assume there is no tax, and that the price of a packaging is the same for any size box.
Assuming that someone is asked to write a code (i.e., program) for nonlinear problem using least square adjustment technique, what would be your advice for this person to terminate the program?
This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.
When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.
One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.
Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.
Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.
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The lower quartile of a set of data is calculated by __________.
A.
averaging the lower half of the data set
B.
finding the median of the lower half of the data set
C.
finding the mean of the data set remaining after removing the lower half
D.
subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set
Step-by-step explanation:
D.
subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set
The lower quartile of a set of data is calculated by subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.
What is a quartile ?"A quartile is a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations.
Just like the median divides the data into half so that 50% of the measurement lies below the median and 50% lies above it, the quartile breaks down the data into quarters so that 25% of the measurements are less than the lower quartile, 50% are less than the median, and 75% are less than the upper quartile."
From the definition it is clear that,
lower quartile of a set of data is calculated by :
subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.
Hence, D is the correct option.
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3(4n-1)-3
facterD
( form
Answer: thats hard
Step-by-step explanation:
Answer:
6(2n-1)
explanation:
→ 3(4n-1)-3
→ 4n(3)-1(3)-3
→ 12n-3-3
→ 12n-6
→ 6(2n-1)
give me an answer and work and I would give you 150 points i promise I would try to because If I post 150 points at once my thing is going to be taken down.
Answer: answer for what?
Step-by-step explanation: oh I see it appeared iN wrong catogory I’m browsing History sorry
What is the End Behavior
In general, the "end behavior" is a description of what graph will do when you work with really large positive and negative numbers, so as x -> infinity and as x -> –infinity.
The way to figure this out is to find the highest degree term. In your exercise, that's the –2x^4. When you deal with really large numbers, only this term will matter, because it will overpower the impact of any lower degree term. So you can think of this function really looking like y = –2x^4 once you are away from the y-axis.
In general, as x gets huge in a positive way, as x -> infinity, the y-values of this will get big in a negative way, f(x) -> –infinity.
In general, as x gets huge in a negative way, as x -> –infinity, the y-values of this will also get big in a negative way, f(x) -> –infinity.
See the attached graph of y=-2x^2 (red) and the graph of your function. These are zoomed out, so you're looking at what's happening on the edges.
Notice the graphs basically look the same when viewed from this perspective.
Reasoning How can you use proportional
easoning to make an estimate about a
population using data from a sample?
Proportional reasoning can be used to make an estimate about a population using data from a sample by assuming that the sample is representative of the population as a whole.
What is proportional reasoning ?Proportional reasoning involves using the relationship between different parts of a whole to estimate an unknown value.
To apply proportional reasoning to a population estimate, you would first need to gather a random sample of individuals from the population. Then, you could use the data from the sample to estimate the value of a particular characteristic or parameter for the entire population.
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Find the coordinate of the missing vertex of rectangle ABCD with A(-5,4), B(3,4), and D(-5,-3).
Answer:
(3 , -3)
Step-by-step explanation:
The missing vertex of rectangle ABCD is C(3, -3).
What are the coordinates?Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.
Given:
ABCD is a rectangle.
And the vertices are A(-5,4), B(3,4), and D(-5,-3).
We know,
the parallel sides of a rectangle are equal.
Plotting coordinates of all the vertex.
We get,
the missing vertex is C(3, -3)
To verify that segments are equal or not:
Now, AB = √{(-5 - 3)² + (4 - 4)²} = √{64} = 8 units
CD = √{(-5 - 3)² + (-3 + 3)²} = √{64} = 8 units.
Therefore, the missing vertex is C(3, -3).
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On the Employee Sales Summary sheet, the function used to add together the last employee's sales for the three months is ___________________.
Group of answer choices
=SUM(E16)
=E16+E16+E16
=SUM('Employee Sales October:Employee Sales December'!E16)
=SUM('Employee Sales January:Employee Sales March'!E5)
The function used to add together the last employee's sales for the three months on the Employee Sales Summary sheet is: =SUM('Employee Sales January:Employee Sales March'!E5)
SUM(E16): This function adds up the values in cells E16 from the current sheet. If the last employee's sales for the three months are stored in cells E16, E17, and E18, then this function would correctly calculate the total.
E16+E16+E16: This expression adds up the value in cell E16 three times. If the last employee's sales for the three months are stored in cells E16, E17, and E18, then this expression would not calculate the total correctly.
SUM('Employee Sales October:Employee Sales December'!E16): This function adds up the values in cell E16 from all sheets between Employee Sales October and Employee Sales December (inclusive). If the last employee's sales for the three months are stored in cells E16, E17, and E18 on different sheets, then this function could be used to calculate the total.
SUM('Employee Sales January:Employee Sales March'!E5): This function adds up the values in cell E5 from all sheets between Employee Sales January and Employee Sales March (inclusive).
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Full Question: On the Employee Sales Summary sheet, the function used to add together the last employee's sales for the three months is ___________________.
Group of answer choices
=SUM(E16)=E16+E16+E16=SUM('Employee Sales October:Employee Sales December'!E16)=SUM('Employee Sales January:Employee Sales March'!E5)What are the slopes of GH, HI, IJ, JG
The slopes of GH, HI, IJ, and JG include the following:
Slope GH = 2.Slope HI = -4.Slope IJ = 2.Slope JG = -4.How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope GH = (-3 + 9)/(-4 + 7)
Slope GH = 6/3
Slope GH = 2.
Slope HI = (5 + 3)/(-6 + 4)
Slope HI = -8/2
Slope HI = -4.
Slope IJ = (-1 - 5)/(-9 + 6)
Slope IJ = -6/-3
Slope IJ = 2.
Slope JG = (-9 + 1)/(-7 + 9)
Slope JG = -8/2
Slope JG = -4.
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the t value is used for many tests instead of the z value because: a. it is easier to calculate and interpret. b. it is more widely known among statisticians. c. assumptions of the z value are violated if the sample size is 30 or less. d. it is available on statistical software packages.
The t-value is often used instead of the z-value in statistical tests because the assumptions of the z-value are violated when the sample size is 30 or less.
The t-value is preferred over the z-value in certain scenarios due to the violation of assumptions associated with the z-value when the sample size is small (30 or less). The z-value assumes that the population standard deviation is known, which is often not the case in practice. In situations where the population standard deviation is unknown, the t-value is used because it relies on the sample standard deviation instead. By using the t-value, we account for the uncertainty associated with estimating the population standard deviation from the sample.
Additionally, the t-value is easier to calculate and interpret compared to the z-value. The t-distribution has a wider range of degrees of freedom, allowing for more flexibility in analyzing data. Moreover, the t-value is more widely known among statisticians and is readily available in statistical software packages, making it a convenient choice for conducting hypothesis tests and confidence intervals.
Overall, the t-value is preferred over the z-value when the assumptions of the z-value are violated or when the population standard deviation is unknown.
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What is the surface area of the triangular prism below? Gray prism 217.84 cm2 318.94 cm2 328.4 cm2 376.24 cm2
The surface area of a triangular prism is A = 92 square units .to solve this use surface area of a triangular prism formula .
what is triangular prism ?
A triangular prism is three-dimensional geometric shape that consists of two parallel triangular bases and three rectangular lateral faces that connect the corresponding sides of the two triangular bases.
In the given question,
The surface area of triangular prism is given by the formula:
A = 2B + Ph
where A is the surface area, B is the area of the triangular base, P is the perimeter of the triangular base, and h is the height of the prism.
To calculate the surface area of the prism, you will need to know the area of the triangular base, the perimeter of the triangular base, and the height of the prism. Once you have these values, you can plug them into the formula above to calculate the surface area.
For example, if the triangular base has an area of 10 square units, a perimeter of 12 units, and the height of the prism is 6 units, then the surface area of the prism would be:
A = 2(10) + (12)(6) = 20 + 72 = 92 square units
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Julian went shopping for a new pair of sneakers. Sales tax where he lives is 5.75%. If the price of the pair of sneakers is pp dollars and cents, which expression represents the total price plus tax?
The expression that represents the total price plus tax that Julian paid during shopping is 1.0575pp
How to write the expression of the total price Julian paid
The question is a percentage problem, percentage deals with a fraction hundred and used as follows
5.75%
= 5.75 percent
= 5.75 / 100
= 0.0575
The factor 0.0575 of the price (pp dollars and cents) gives the total price paid
when the price paid is pp dollars and cents
= 0.0575 * pp + pp
= 1.0575pp
The total price paid is 1.0575pp
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43/21 rounded to the nearest tenth
Answer:
the answer is 2.05
Select the correct answer. Wayne plays multiple instruments in a rock band. He also composes the songs. He takes 36 weeks to write the songs for an album of 12 songs. If you assume he takes an equal amount of time to compose each song and graph this relationship with the number of weeks on the x-axis and the number of songs on the y-axis, what is Wayne's unit rate for composing a song?
Answer:
3 weeks for one song
Step-by-step explanation:
The function would be y = 3x + b
Answer:
it is 1/3 of a song per week for all you people that cant do math
Step-by-step explanation:
Five friends have the following birthdays: January 18, April 19, April 29, May 11, and May 21. List
the months of the birthdays in set notation.
The months of the birthdays in set notation are { January, April, May }
In mathematics, sets are collections of discrete objects or elements.
Set notation describes the many symbols used while navigating between and within sets. The curly brackets symbol is the most basic way to express a set's elements. A = a, b, c, and d is an illustration of a set.
The birthdays of the five friends are January 18, April 19, April 29, May 11, and May 21.
There are two types of ways in which we can write in set notation.
Set Builder form : M = x, x is the birthday month of the group members}Interval Notation: The months of the birthdays in set notation are { January, April, May }To know more about set notation, visit https://brainly.com/question/28276299
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a consumer affairs investigator records the repair cost for 44 randomly selected tvs. a sample mean of $91.78$91.78 and standard deviation of $23.13$23.13 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.
To determine the 90% confidence interval for the mean repair cost for the TVs, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
Where:
Sample Mean = $91.78
Standard Deviation = $23.13
Sample Size = 44
Critical Value (z-value) for a 90% confidence level = 1.645 (obtained from a standard normal distribution table)
Standard Error = Standard Deviation / (\(\sqrt{Sample Size}\))
Standard Error = $23.13 / \(\sqrt{44}\)= $23.13 / 6.633 = $3.49 (rounded to two decimal places)
Confidence Interval = $91.78 ± (1.645 * $3.49)
Upper Bound = $91.78 + (1.645 * $3.49) = $91.78 + $5.74 = $97.52 (rounded to two decimal places)
Lower Bound = $91.78 - (1.645 * $3.49) = $91.78 - $5.74 = $86.04 (rounded to two decimal places)
Therefore, the 90% confidence interval for the mean repair cost for the TVs is approximately $86.04 to $97.52.
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Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles
Time taken by Miguel car to drive is, 1.6 hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.
We know that;
⇒ Speed = Distance / Time
⇒ Time = Distance / Speed
Here, Speed = 53 miles per hour
Distance = 84.8 miles
Hence, We get;
⇒ Time = 84.8 / 53
⇒ Time = 1.6 hour
Thus, Time taken by Miguel car to drive is, 1.6 hour.
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Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0
The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the roots of the quadratic equation are x= 2 + i.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
A) x²-4x-5=0
Here, x=[4±√(16-20)]/2
x=[4±2i]/2
x=2±i
x=2+i or x=2-i
Therefore, option A is the correct answer.
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Which rectangular equation represents the parametric equations x = 3t ^1/2 and y = 6t?
photo has the answer choices !
Answer:
B
Step-by-step explanation:
on edge 2021
Heyaaa, can you help me out? I'm not exactly sure how to go about solving this.
Answer:
$48
Step-by-step explanation:
if youre paying 9.60 in tax and the tax is 20% you have to find out what 9.60 is 20% of
and 9.60 is 20% of 48
cost be x
\(\\ \rm\hookrightarrow 0.20x=9.6\)
\(\\ \rm\hookrightarrow x=9.6/0.2\)
\(\\ \rm\hookrightarrow x=48\)
Please help.
Algebra.
Answer:
4 is answer in my view but i am not sure
A random variable is normally distributed with the mean of
$450.00 and standard deviation of $48. Determine the standard error
of the sampling distribution of the mean samples with n = 64
The standard error of the random variable is 6 .
Given,
Mean = $450
Standard deviation = $48
Samples = 64
Now,
According to the formula of standard error,
Standard error (SE) = σ / √(n)
σ = 48
n = 64
SE = 48 / sqrt(64)
SE = 6
Thus
standard error of the sampling distribution of the mean samples are 6.
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Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of key- boards. As the suppliers all reside in a location prone to hurri- canes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time for at least 2 weeks is 3%. Such a total shutdown would cost the company approximately $400,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $15,000 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available.
To determine the number of suppliers Witt Input Devices should use, we need to consider the probability of a "super-event" and the marginal cost of managing additional suppliers.
With a 3% probability of a total shutdown and an estimated cost of $400,000, along with a 5% "unique-event" risk per supplier, the company should aim to balance the costs and risks to make an informed decision on the number of suppliers.
Phillip Witt wants to create a portfolio of local suppliers for his keyboards. He faces the risk of "super-events" that could shut down all suppliers simultaneously for at least two weeks. The probability of such an event occurring is 3% per year, which would result in an estimated cost of $400,000 for the company.
Additionally, each individual supplier carries a "unique-event" risk of 5%. To mitigate the risks, Witt Input Devices needs to determine the optimal number of suppliers to use. However, it is stated that up to three nearly identical local suppliers are available.
To make a decision, the company needs to balance the costs and risks. Each additional supplier incurs a marginal cost of $15,000 per year. The company should evaluate the trade-off between the cost of managing additional suppliers and the risk reduction achieved by having multiple suppliers.
Considering these factors, Witt Input Devices should analyze the costs and benefits of each additional supplier and select the number of suppliers that provides an optimal balance between risk mitigation and cost management.
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