Using proportions, it is found that the fixed amount that she earns for each television is of $70.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, she sold 13 televisions with warranty, hence earning a total in bonus of 13 x $30 = $390.
Hence, the sum of the 13 fixed amounts is of 1300 - 390 = 910, hence the fixed amount she earns is given by:
$910/13 = 70.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
U spend 5/12 of a day at an amusement park you spend 2/5 of the time riding water slides how many hours do u spend riding water slides
Answer:
sounds fun
Step-by-step explanation:
If I could get help
Answer:
4m, 6m, 7m, 5m
Step-by-step explanation:
To find perimeter you just add the side lengths togeather.
Which graph represents the solution set of the system of inequalities?
y < 3x – 1
y ≤ –2 x
Answer:
The #4 graph represents
Step-by-step explanation:
i plugged the inequalitites into desmos.
(see below)
HELP QUICK!
2. Select true or false for each statement about the data above.
A. The most common length of ribbon is 11 1
4
. ☐ True ☐ False
B. The sum of the longest and shortest lengths is 20 1
8
. ☐ True ☐ False
C. The difference between the longest and shortest
lengths is 2 1
8
.
☐ True ☐ False
The true or false statements based on the graph on the lengths of ribbons are:
The most common length of ribbon is 11 1/4 is TRUE The sum of the longest and shortest lengths is 20 1/8 is FALSE.The difference between the longest and shortest lengths is 2 1/8 is FALSE. What does the graph show?The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.
The sum of the longest and shortest lengths is:
= 11¹/₄ + 9⁷/₈
= 21⁹/₈
The sum is therefore not 20¹/₈.
The difference between the longest and shortest lengths is:
= 11¹/₄ - 9⁷/₈
= 1³/₈
This is not 2 ¹/₈
Find out more on interpreting graphs at https://brainly.com/question/1638242
#SPJ4
George collected achievement score data for each child from a middle school. He has their gender, age, teacher, and score on the achievement measure as his data fields. George needs to calculate the central tendency of his variable achievement score. Which measure should he use
To calculate the central tendency of the variable "achievement score," George can use several measures, including the mean, median, and mode. The choice of measure depends on the nature of the data and the specific requirements of the analysis. Here's a brief explanation of each measure:
1. Mean: The mean is the average of all the achievement scores. It is calculated by summing up all the scores and dividing by the total number of scores. The mean is commonly used when the data is roughly symmetric and does not have extreme outliers.
2. Median: The median represents the middle value when the data is sorted in ascending or descending order. If there is an odd number of scores, the median is the exact middle value. If there is an even number of scores, the median is the average of the two middle values. The median is often used when the data has outliers or is skewed.
3. Mode: The mode is the value or values that appear most frequently in the data. It can be useful when there are prominent peaks or clusters in the distribution, or when dealing with categorical data.
The choice of the appropriate measure depends on the specific characteristics of the achievement score data, such as its distribution, presence of outliers, and the research question at hand. For example, if the data is normally distributed without outliers, the mean may provide an accurate representation of the central tendency.
However, if the data is skewed or contains extreme values, the median might be a more robust measure. Similarly, if the data is categorical or has distinct clusters, the mode could be informative.
Therefore, George should consider the nature of his achievement score data and the specific requirements of his analysis to determine the most suitable measure of central tendency.
To know more about achievement score refer here
https://brainly.com/question/17053911#
#SPJ11
X Y Whats the slope
0 0
3 1
12 4
21 7
Answer:
1/3
Step-by-step explanation:
6 less than the product of 3 and a number. As an algebraic expression
Answer:
3n -6
Step-by-step explanation:
Let the number be n :
Product of 3 and n = 3n
6 less will be 3n- 6
Hope this helped and have a good day
starbucks recipe for their vanilla latte is 3 cups of milk for every 2 cups of coffee select all the statements about the lattes that are correct
The Starbucks vanilla latte recipe maintains a 3:2 milk-to-coffee ratio, which contributes to its creamy texture. This ratio can be adjusted to make more or less of the beverage while keeping the same proportions. The vanilla flavor comes from vanilla syrup, which is not part of the milk-to-coffee ratio.
According to the given statement, the Starbucks recipe for their vanilla latte includes a ratio of 3 cups of milk for every 2 cups of coffee. Therefore, the following statements can be considered correct:
1. The vanilla latte contains more milk than coffee, as the milk to coffee ratio is 3:2.
2. The vanilla latte is a milk-based coffee drink, as milk is the main ingredient.
3. The vanilla latte has a creamy texture and a sweeter taste due to the high amount of milk used.
4. The vanilla latte can be customized by adding additional flavors, such as vanilla syrup, to enhance its taste.
It is important to note that the given statement does not mention the exact amount of vanilla syrup used in the recipe or any other potential ingredients, so any statements relating to those elements cannot be confirmed as correct. Overall, the 3:2 milk to coffee ratio is a key aspect of the Starbucks vanilla latte recipe.
The Starbucks recipe for their vanilla latte consists of a specific ratio of ingredients: 3 cups of milk for every 2 cups of coffee. To determine the correct statements about the lattes, consider the following:
1. The milk-to-coffee ratio is 3:2. This means that for every 3 cups of milk, 2 cups of coffee are used in the recipe.
2. The proportion of milk in the latte is greater than the proportion of coffee. This contributes to the creamy and smooth texture of the beverage.
3. Doubling the recipe requires 6 cups of milk and 4 cups of coffee, maintaining the 3:2 ratio.
4. Reducing the recipe by half would require 1.5 cups of milk and 1 cup of coffee, again maintaining the 3:2 ratio.
5. The vanilla flavor in the latte is added through the use of vanilla syrup, which is not included in the milk-to-coffee ratio.
In summary, the Starbucks vanilla latte recipe maintains a 3:2 milk-to-coffee ratio, which contributes to its creamy texture. This ratio can be adjusted to make more or less of the beverage while keeping the same proportions. The vanilla flavor comes from vanilla syrup, which is not part of the milk-to-coffee ratio.
Learn more about Starbucks at: brainly.com/question/30751725
#SPJ11
What is the volume of a cylindrical garbage pail with a radius of 10 centimeters and a height of 50 centimeters?
Answer:
500\(\pi\) or around 1570
Step-by-step explanation:
The formula for a volume of a cylinder is \(r^{2}h\pi\)
The cylindrical garbage pain has a volume of 15700 cm².
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
The given cylindrical garbage has a radius(r) = 10 cm and a height(h) of
50 cm.
∴ The volume of the cylindrical garbage is = π(10)²×50 cm².
= 5000π cm².
= 15700 cm².
learn more about cylinders here :
https://brainly.com/question/16134180
#SPJ2
Nolan drops a ball from a certain height and allows the ball to bounce. The rebound height can be modeled by the function f(x) = 12(1/3)x. What is the initial height?
Therefore , the solution of the given problem of function comes out to be Nolan dropped the ball from a height of 12 units at the beginning.
What is meant by the word function?The study of mathematics includes numbers, symbols, and their parts, as well as anatomy, building, and both actual and hypothetical geographic locations. The relationships between different components, each of which has a corresponding result, are described by a function. A function is made up of a variable of distinct components that, when put together, produce specific results for each input.
Here,
Assume that h represents the original height at which Nolan threw the ball. The object bounces once and rises to a height of 4, so after the bounce it has a height of h + 4.
=> h = k f(1) (1)
where k is a constant that denotes how much energy the object retains after each bounce.
=> h = k(4) (4)
The knowledge that the ball returns to a height of 4 on the first bounce must be used to determine the value of k:
=> 4 = k f(1) (1)
=> 4 = k (4/3)
=> k = 3
When we put this number of k back into the equation as a replacement for h, we get:
=> h = k(4) = 3(4) = 12
Nolan dropped the ball from a height of 12 units at the beginning.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
how many different homotheties can one of two concentric circles be projected onto the other?
Answer: If two concentric circles are projected onto each other, then there is only one homothety that maps one circle onto the other. This is because the center of the circles is the only point that remains fixed under the homothety.
3(x-2)+4(x-2)-5(x-2)
Answer:
2x - 4
Step-by-step explanation:
7. Suppose you are buying apples and bananas. The price of apples is $0.40 each and
the price of bananas is $0.25 each. Which equation models the number of apples and
bananas you can buy for $2?
a. 40x + 25y = 200
b. 40x – 25y = 2
C. 5x + 8y = 200
d. 5x + 8y = 2
Answer:
A: because I'm do math.
explination: yes
Express each statement using an inequality involving absolute value. A. The weatherman predicted that the temperature would be within 39 of 52°F. B. Serena will make the B team if she scores within 8 points of the team average of 92.
We can write the inequality involving absolute value to express the statement as:
|x - 52| ≤ 39 Where x is the temperature in degrees Fahrenheit.
The inequality involving absolute value to express the statements are:
A. The weatherman predicted that the temperature would be within 39 of 52°F.
We can write the inequality involving absolute value to express the statement as:
|x - 52| ≤ 39
Where x is the temperature in degrees Fahrenheit.
This absolute value inequality states that the temperature should be within 39°F of 52°F. Hence, the temperature can be 13°F or 91°F. However, if the temperature goes beyond these limits, then it is not within 39 of 52°F.B. Serena will make the B team if she scores within 8 points of the team average of 92.
We can write the inequality involving absolute value to express the statement as:
|x - 92| ≤ 8
Where x is the score obtained by Serena. This absolute value inequality states that the score obtained by Serena should be within 8 points of the team average of 92. Hence, if the average score is 92, then Serena can score between 84 and 100. However, if Serena's score goes beyond these limits, then she will not make it to the B team.
To know more about inequality visit:
https://brainly.com/question/20383699
#SPJ11
Name a possible value for w that is a solution to w > 30, but is not a solution to w < 50. Thank you in advance for the help.
Answer:
i dont know
Step-by-step explanation:E
Evaluasi integral garis F · dr, C di mana C diberikan oleh fungsi vektor r(t). f(x,y,z) = (x y^2)i xz(j) (y z)k, r(t)=t^2i t^3j-2tj, 0<=t<=2
The line integral evaluates to 1792/3. The integral was solved using the parametric equations of the given vector function and applying the line integral formula.
The line integral of F · dr over C, where C is given by the vector function r(t) = t²i + t³j - 2tj, 0 ≤ t ≤ 2, and F(x, y, z) = (xy²)i + xz(j) + (yz)k is to be evaluated.
To solve this, first, we need to parameterize the curve C by finding the values of r(t) at t = 0 and t = 2.
At t = 0, r(0) = (0)i + (0)j + (0)k = 0
At t = 2, r(2) = (4i) + (8j) - (2k)
Next, we need to calculate the line integral using the parameterization of the curve C.
∫ F · dr = ∫ [f(r(t))] · [r'(t) dt] from t=0 to t=2
where r'(t) is the derivative of r(t) with respect to t.
Substituting the given values of F and r(t), we get
∫ F · dr = ∫ [(t²)(t⁶)²i + (t²)(-2t)j + (t³)(-2t)(t²)k] · [2ti + 3t²j - 2j dt] from t=0 to t=2
On simplifying and integrating, we get
∫ F · dr = ∫ [(t¹⁰)i + (-4t³)j + (-2t⁵)k] · [2ti + 3t²j - 2j dt] from t=0 to t=2
∫ F · dr = ∫ [(2t¹¹) + (-12t⁵) + (-2t⁵)] dt from t=0 to t=2
∫ F · dr = [1/6 (2t¹²) - 2t⁶ - 1/3 (2t⁶)] from t=0 to t=2
∫ F · dr = [(2/3)(2¹²) - 2(2⁶) - (2/3)(2⁶)] - [0]
∫ F · dr = 2048/3 - 128 - 64/3
∫ F · dr = 1792/3
Therefore, the value of the line integral is 1792/3.
To know more about line integral:
https://brainly.com/question/29850528
#SPJ4
Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $118,500 for Social Security and 1.45% for Medicare. Before this payroll, Richard is $1,000 below the maximum level for Social Security earnings. Richard is married, is paid weekly, and claims 2 exemptions. What is Richard’s net pay for the week if he earns $1,700?
Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.
First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.
Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.
To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.
Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.
Learn more about subtract here: brainly.com/question/28008319
#SPJ11
Which pair of related inequalities can be graphed to find the solution set to log(x + 90) ≥ 7?
A. y ≥ log(x + 90) and y ≤ 7
B. y ≥ log(x + 90) and y ≥ 7
C. y ≤ log(x + 90) and y ≤ 7
D. y ≤ log(x + 90) and y ≥ 7
Answer:hi the answer is D
Step-by-step explanation:
i just took the test!
Answer:
D
Step-by-step explanation:
Edg2021
"A variable is anything that can take on differing or varying values". Explain the following variables with suitable examples.
The Independent Variable
The Dependent Variable
The Mediating Variable
The Moderating Variable
The independent variable is the manipulated variable, while the dependent variable is the outcome variable in an experiment. Mediating variables explain the relationship between the independent and dependent variables, while moderating variables influence the strength or direction of that relationship.
1. The Independent Variable:
The independent variable is the variable that is manipulated or controlled by the researcher in an experiment. It is the variable that is believed to have an effect on the dependent variable. In other words, it is the cause or predictor variable.
Example: Let's say you want to investigate the effect of studying time on test scores. In this case, the independent variable would be the "studying time" because you can control and manipulate the amount of time spent studying. You can have different groups of participants study for different durations (e.g., 1 hour, 2 hours, or 3 hours) and observe how their test scores (the dependent variable) vary based on the different studying times.
2. The Dependent Variable:
The dependent variable is the variable that is measured or observed in an experiment. It is the variable that is influenced or affected by the independent variable. It is the outcome or the effect variable that the researcher is interested in studying.
Example: Using the previous example, the dependent variable would be the "test scores" because it is the variable that you measure or observe to see how it changes based on the different studying times. The test scores are dependent on the independent variable (studying time), and you would collect data on the participants' scores to analyze the relationship.
3. The Mediating Variable:
A mediating variable is a variable that helps explain the relationship between the independent and dependent variables. It provides insight into the underlying mechanism or process through which the independent variable affects the dependent variable.
Example: Let's consider a study on the relationship between exercise and happiness. The independent variable is "exercise," and the dependent variable is "happiness." However, there might be a mediating variable in this relationship, such as "endorphins." Endorphins are chemicals released during exercise that contribute to feelings of happiness. In this case, endorphins act as a mediating variable, explaining how exercise influences happiness.
4. The Moderating Variable:
A moderating variable is a variable that influences the strength or direction of the relationship between the independent and dependent variables. It indicates when or for whom the relationship is stronger or weaker.
Example: Suppose you want to investigate the effect of caffeine consumption (independent variable) on task performance (dependent variable). The moderating variable could be "sleep deprivation." Some individuals may be more affected by caffeine when they are sleep deprived, while others may not experience the same impact. In this case, sleep deprivation moderates the relationship between caffeine consumption and task performance.
These examples illustrate how each type of variable plays a role in research and helps researchers understand and analyze the relationships between different variables.
To learn more about independent variable refer here:
https://brainly.com/question/32711473#
#SPJ11
What is the interest earned in a savings account for 12 months on a balance of $4000 of the interest rate is 1.5% APR compounded earlier
answer: 60.00
Based on the given conditions, formulate:: 4000x
((1.5%+1)12/12-1)
Evaluate the equation/expression:: 60
Round 60 to the required place rounding: 60.00
Susan makes 5 fruit cups for the picnic. In each cup, she has 5 strawberries and 3 kiwi. Joanna uses the same number of total fruits to make her stawberry and kiwi fruit cups, but she makes 4 cups. In each cup, she uses 8 strawberries.
How many kiwis are in each fruit cup Joanna makes?
Answer:
Susan makes 5 fruit cups
each fruit cup has 5 strawberries and 3 kiwis
so the number of strawberries used is - 5 x 5 = 25 strawberries
and the number of kiwis used - 5 x 3 = 15 kiwis
so the total number of fruits - 25 + 15 = 40 fruits
Joanna uses 40 fruits to make 4 fruit cups
each cup she uses 8 strawberries
therefore total number of strawberries she uses - 8x 4 = 32 strawberries
she has 40 fruits in total and 32 of those are strawberries
the rest are kiwis
number of kiwis = 40 -32 = 8
8 kiwis are there and she has to make 4 cups
so for each cup number of kiwis = 8 / 4 = 2
so each cup has 2 kiwis
Step-by-step explanation:
Answer:
two kiwis
Step-by-step explanation:
Pls help me with this it's urgent!
Answer:
function is the correct answer
Answer:
an = a1 + (n - 1 ) d (Function)
Step-by-step explanation:
This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function
I've been having trouble figuring out trigonometry and I really could use somebody who knows this kind of stuff to help me out. Can anyone answer this by showing me how to do it and what the answer would be?
Answer: The positive acute angle between the x-axis and the angle's terminal side, or the angle's terminal side wherever it is, measured so that the reference angle is positive and less than 90° (or 2) is known as the reference angle for a given angle in trigonometry.
This is all I know I don't have a class like this sorry hope this helps you!
True or False: To construct a confidence interval about the mean, the population from which the sample is drawn must be approximately normal.
The statement is True. To construct a confidence interval about the mean, the population from which the sample size is drawn must be approximately normal.
This assumption is necessary to ensure that the sampling distribution of the sample mean is also approximately normal, which is a key assumption underlying many statistical tests and confidence interval constructions.
However, suppose the sample size is large enough (usually at least 30). In that case, the central limit theorem may allow for constructing a confidence interval about the mean even if the population is not normal.
To learn more about sampling distribution, visit here
https://brainly.com/question/13501743
#SPJ4
i will give brainliest.On every sale of goods worth N10,000.00, there is a commission of N550.00. If
an agent delivers N150,000.00, find his commission. pls helllp
Answer:
8250
Step-by-step explanation:
I think
Consider the cylinder above. The radius is now doubled. Find the DIFFERENCE in volume between the
two cylinders.
Answer:
The difference in volume between the two cylinders is 4032π
Step-by-step explanation:
The formula for volume of a cylinder is
(π)(r²)(h) =V
h = height = 21
for the original cylinder,
diameter = d = 16
so, r = d/2 = 8 so radius = 8
V1 = (π)(8)(8)(21)
and after doubling the radius we get,
r = 16
V2 = (π)(16)(16)(21)
the difference in volume is,
V2 - V1 = 21π(16)(16) - 21π(8)(8)
V2 - V1 = 21π[(16)(16) - (8)(8)]
where we have taken the common elements out
= 21π(192)
so the difference is 4032π
help Please ill give branliest.
The juniors and seniors at a high school are ordering class shirts. The amounts ordered in each size are shown in the two-way frequency table below.
Small Medium Large X-Large Total
Juniors 65 84 68 23 240
Seniors 51 62 79 28 220
Total 116 146 147 51 460
Which statement is true about the information represented in the table?
A The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt who are also in the Senior class.
B The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt who are also in the Senior class.
C The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt who are also in the Junior class.
D The percentage of Juniors who ordered a medium shirt is less than the percentage of students who ordered a medium shirt who are also in the Junior class.
Answer:
it b
Step-by-step explanation:
To determine which statement is true, we need to calculate the percentages for each option and compare them and option c is correct.
Option A: The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt and are also in the Senior class. To calculate the percentage of Seniors who ordered a large shirt, we divide the number of Seniors who ordered a large shirt by the total number of Seniors:
Percentage of Seniors who ordered a large shirt =\((79 / 220) * 100 = 35.91\)% To calculate the percentage of students who ordered a large shirt and are also in the Senior class, we divide the number of Seniors who ordered a large shirt by the total number of students who ordered a large shirt: Percentage of students who ordered a large shirt and are also in the Senior class \(= (79 / 147) * 100 = 53.74\)% Since the percentage of students who ordered a large shirt and are also in the Senior class is greater than the percentage of Seniors who ordered a large shirt, statement A is false.
Similarly, we can calculate the percentages for the other options: Option B: The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt and are also in the Senior class. Percentage of Seniors who ordered a small shirt \(= (51 / 220) * 100 = 23.18\)% Percentage of students who ordered a small shirt and are also in the Senior class \(= (51 / 116) * 100 = 43.97\) % Since the percentages are not the same, statement B is false.
Option C: The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt and are also in the Junior class. Percentage of Juniors who ordered a medium shirt \(= (84 / 240) * 100 = 35\)% Percentage of students who ordered a medium shirt and are also in the Junior class \(= (84 / 146) * 100 = 57.53\)% Since the percentage of students who ordered a medium shirt and are also in the Junior class is greater than the percentage of Juniors who ordered a medium shirt, statement C is true.
Hence the correct option is C.
To know more about percentages visit:
https://brainly.com/question/32197511
#SPJ2
10 pts
Find the missing variables in the parallelogram below.
16
Vy - 60)
560
3x+ 4
X-
y =
(x^2+bx-2)(x+3)=x^3+6x^2+7x-6. In the equation above, b is a constant. If the equation is true for all values of x, what is the value of b?
The value of b in the equation (x^2 + bx - 2)(x + 3) = x^3 + 6x^2 + 7x - 6 can be determined by comparing the coefficients of the corresponding terms on both sides of the equation. The value of b is 7.
To find the value of b, we expand the left side of the equation (x^2 + bx - 2)(x + 3) using the distributive property. This results in the expression x^3 + 3x^2 + bx^2 + 3bx - 2x - 6.
Comparing this expression with the right side of the equation x^3 + 6x^2 + 7x - 6, we can see that the coefficients of the corresponding terms should be equal. The coefficient of x^2 is 3 in both expressions, the coefficient of x is 7 in both expressions, and the constant term is -6 in both expressions. Therefore, the value of b is 7.
Learn more about constant here : brainly.com/question/31730278
#SPJ11
there are 17 people in a race. how many ways can sally, sam, sue, and simon place in the bottom 4 spots?
There are 43,680 possible ways for Sally, Sam, Sue, and Simon to place in the bottom 4 spots in a race with 17 people.
There are 17 people in the race, so there are 17 ways to choose who comes in first place. After that, there are 16 people remaining, so there are 16 ways to choose who comes in second place.
Similarly, there are 15 ways to choose who comes in third place, and 14 ways to choose who comes in fourth place.
Therefore, the total number of ways that Sally, Sam, Sue, and Simon can place in the bottom 4 spots is:
16 x 15 x 14 x 13 = 43,680
So there are 43,680 possible ways for Sally, Sam, Sue, and Simon to place in the bottom 4 spots.
Learn more about Permutations:
brainly.com/question/1216161
#SPJ1