Answer:
(14x + y)(14x - y)
Step-by-step explanation:
Quick Loans will loan you $500 with the understanding that you will pay them $3.98 in interest for every day you have the loan out. What is the APR for this loan?
The APR on the loan, given the amount you are to pay in interest every day, can be found to be 190. 54 %
How to find the APR ?To calculate the APR (Annual Percentage Rate) for this loan, we need to know the total interest paid over the course of a year, as a percentage of the loan amount.
First, we need to determine the total interest paid over the course of one year. Since the interest rate is $3.98 per day, we can multiply that by the number of days in a year (365) to get the total interest paid per year:
$3.98 x 365 = $1, 452.70
The APR would therefore be :
= ( 1, 452. 70 - 500 ) / 500
= 1. 9054
= 190. 54 %
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Suppose the events Upper B 1, Upper B 2, and Upper B 3, are mutually exclusive and complementary events, such that P(Upper B 1)equals0. 05, P(Upper B 2)equals0. 4, and P(Upper B 3)equals0. 55. Consider another event A such that P(A|Upper B 1)equals0. 6, P(A|Upper B 2)equals0. 5, and P(A|Upper B 3)equals0. 4. Use Bayes's Rule to find P(Upper B 1|A)
The probability of event Upper B 1 given event A is approximately 0.0134.
To find P(Upper B 1|A) using Bayes' rule, we need to use the formula:
P(Upper B 1|A) = P(A|Upper B 1) × P(Upper B 1) / P(A)
To find P(A), we can use the law of total probability:
P(A) = P(A|Upper B 1) × P(Upper B 1) + P(A|Upper B 2) × P(Upper B 2) + P(A|Upper B 3) × P(Upper B 3)
Substituting the given values, we get:
P(A) = 0.6 × 0.05 + 0.5 × 0.4 + 0.4 × 0.55
P(A) = 0.029 + 0.2 + 0.22
P(A) = 0.449
Now, substituting the values of P(A|Upper B 1), P(Upper B 1), and P(A) into the Bayes' rule formula, we get:
P(Upper B 1|A) = (0.6 × 0.05) / 0.449
P(Upper B 1|A) = 0.006 / 0.449
P(Upper B 1|A) ≈ 0.0134
Therefore, the probability of event Upper B 1 given event A is approximately 0.0134.
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Cocoa Puffs family size was once 19.3 oz, now it is 18.1 oz. By what percent did the product
"shrink"? Show your work.
so it shrunk by 19.3 - 18.1 = 1.2.
so if we take 19.3(origin amount) as the 100%, what's 1.2 off of it in percentage.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 19.3 & 100\\ 1.2& x \end{array} \implies \cfrac{19.3}{1.2}~~=~~\cfrac{100}{x} \\\\\\ 19.3x=120\implies x=\cfrac{120}{19.3}\implies x\approx 6.22[/tex]
__________ will produce an irrational answer when added to 7/8 , because __________.
The square root of 2, or any other irrational number, will produce an irrational answer when added to 7/8.
Why is the number √ 2 irrational?Ancient mathematicians understood that a square with one-unit-long sides has a diagonal whose length is irrational. The Pythagorean Theorem states that the length of the diagonal is equal to the square root of two. Thus, it is absurd to use the square root of 2!
When added to 7/8, the square root of 2 or any other irrational number will result in an absurd result.
This is so that irrational numbers can be expanded indefinitely without repeating, since they cannot be stated as a fraction of two integers.
The consequence of adding an irrational number to a rational one, such as 7/8, will also be irrational since the irrational number cannot be reduced to a fraction of two integers because its decimal expansion will go on indefinitely without repeating.
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Answer:
√7 irrational number
Step-by-step explanation:
Assume that the test scores of a college entrance test fits a normal distribution. The mean test score is 72, and the standard deviation is 15.2 a)What is the percentage of students scoring 84 or more? b) If a random student is chosen. What is the probability of the student scoring an 84 or more on the test if the max score was 95?
The probability of a random student scoring 84 or more if the maximum score is 95 is approximately 0.1179 or 11.79%.
To find the percentage of students scoring 84 or more, first we need to calculate the z-score using the formula:z = (X - μ) / σwhere X = 84, μ = 72, and σ = 15.2z = (84 - 72) / 15.2z = 0.7895Using a standard normal table or a calculator, we can find the percentage of students scoring 84 or more as:percentage = 1 - P(Z < 0.7895)percentage ≈ 21.4%Therefore, approximately 21.4% of students will score 84 or more on the test.b) To find the probability of a random student scoring 84 or more if the maximum score is 95, we need to first calculate the z-score using the same formula as before:z = (X - μ) / σwhere X = 84, μ = 72, and σ = 15.2z = (84 - 72) / 15.2z = 0.7895Then, we need to convert this z-score to a new z-score based on the maximum score of 95. Using the formula:z = (X - μ) / (max score - μ)σwhere X = 84, μ = 72, σ = 15.2, and max score = 95z = (84 - 72) / (95 - 72)z ≈ 1.19Using a standard normal table or a calculator, we can find the probability of a student scoring 84 or more as:P(Z > 1.19)P(Z > 1.19) ≈ 0.1179Therefore, the probability of a random student scoring 84 or more if the maximum score is 95 is approximately 0.1179 or 11.79%.
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Objective(s): Using Multidimensional Analysis (i.e., OLAP - Online Analytical Processing) you will analyze a multidimensional cube and make recommendations for improving profit. The multidimensional cube that you will analyze is AdventureWorks . You are free to move the data to Tableau and analyze it that way but I recommend you use Excel's PIVOT table. Please study the data first before analyzing. Methodology: You will analyze a cube built from the AdventureWorks Data Warehouse. The AdventureWorks cube was built using Microsoft's SQL Server Analysis Services (SSAS). Playing the role of AdventureWorks management, you will analyze your cube using Microsoft Excel and make three (3) recommendations for improving profitability. Deliverable(s): You will submit 2 recommendations for improving the profitability of AdventureWorks along with the rationale of each recommendation. In addition, please include any and all cube views (i.e., reports or charts from Excel) that helped you arrive at your recommendations.
recommendations
When answering questions on Brainly, you should always strive to be factually accurate, professional, and friendly. Your answer should be concise and not provide extraneous amounts of detail. You should not ignore any typos or irrelevant parts of the question, and provide a step-by-step explanation in your answer.The objective of the task is to analyze a multidimensional cube and provide recommendations for improving the profit. The cube that you will be analyzing is AdventureWorks. The methodology that will be followed is to analyze a cube built from the AdventureWorks Data Warehouse.The cube was built using Microsoft's SQL Server Analysis Services (SSAS). You will play the role of AdventureWorks management, and analyze the cube using Microsoft Excel. You will then make three recommendations for improving profitability.For analyzing the cube, you can use Excel's PIVOT table. It is recommended that you study the data first before analyzing. You can move the data to Tableau and analyze it that way, but it is not necessary.The deliverables of the task are two recommendations for improving the profitability of AdventureWorks along with the rationale of each recommendation. Additionally, you should include any and all cube views (i.e., reports or charts from Excel) that helped you arrive at your recommendations.
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Which would you measure in kilograms?
A. The mass of a butterfly
B. The capacity of a bottle
C. The mass of a basketball
D. The length of a river
Answer:
C. The mass of a basketball
Step-by-step explanation:
C. The mass of a basketball is typically measured in kilograms.
A. You would measure the mass of a butterfly in milligrams or grams.
B. The capacity of a bottle is measured in milliliters or liters.
D. The length of a river is measured in meters or kilometers.
Answer:
The answer to your problem is, C. The mass of a basketball
Step-by-step explanation:
First of all, if you want to measure heavy items then you could do it in kilograms for example:
Cup filled with water ( lb )
Gallon tank ( kg )
Since basketball or heavy ( depends how much pressure is put it there ) and you cannot really " weigh " a river.
The heaviest option from the option choices A, B, & C.
Option C, is the heaviest
Thus the answer to your problem is, C. The mass of a basketball
for what values of a are the following expressions true 1/2a-5 1/2=5-a
The expression is only true for a = 5.
What is the expressions?An expression is a combination of numbers, variables, and operations that represents a quantity or a mathematical relationship. It can be a simple or complex representation of a value or function, and it can be evaluated or simplified using algebraic or numerical methods.
The given expression is:
(1/2)a - 5 (1/2) = (5 - a)
To find the values of 'a' that make this expression true, we can simplify and solve the equation:
(1/2)a - 2.5 = 5 - a
Adding 'a' to both sides:
(3/2)a - 2.5 = 5
Adding 2.5 to both sides:
(3/2)a = 7.5
Multiplying both sides by 2/3:
a = 5
Therefore, the expression is true when a = 5.
To verify, we can substitute a = 5 into the original expression:
(1/2)(5) - 5 (1/2) = (5 - 5)
2.5 - 2.5 = 0
The expression evaluates to 0, which is true.
Therefore, the expression is only true for a = 5.
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To show that circle P Is similar to circle Q, circle P Is translated t units to the right. The Image Is then dilated about Its center by a scale factor of s.
What are the values of t and s?
T=
S=
Lara's Burgers cooks its burgers either well done or medium. Last night, the restaurant served 9 well-done burgers and 11 medium burgers. What percentage of the burgers served were well done?
45% of the burgers served were well-done.
What is percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
To find the percentage of well-done burgers, we need to divide the number of well-done burgers by the total number of burgers served and then multiply by 100 to get the percentage.
Total number of burgers served = 9 well-done + 11 medium = 20
Percentage of well-done burgers = (9/20) x 100% = 45%
Therefore, 45% of the burgers served were well-done.
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30 dollars to spend on 3 gifts. She spent 8 9/10 dollars on gift A and 6 3/5 dollars on gift B. How much money did she have left for gift C?
From the given information provided, she has 14.50 dollars money left to spend on gift C.
To find out how much money is left for gift C, we first need to add up the amounts spent on gift A and gift B:
8 9/10 dollars + 6 3/5 dollars = (8 + 6) + (9/10 + 3/5) dollars
= 14 + (9/10 + 6/10) dollars
= 14 + 15/10 dollars
= 15 5/10 dollars
= 15.50 dollars
So the total amount spent on gift A and gift B is 15.50 dollars. To find out how much money is left for gift C, we need to subtract this amount from the total amount she has to spend:
30 dollars - 15.50 dollars = 14.50 dollars
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solve for x : 17-1/6x=23 ?
Answer:
x = -36
hope it helps
Answer:36
Step-by-step explanation:
-1/6x=23-17
-1/6x=-6
1/6x=6
x=36
if anyone could help, would be much appreciated
Answer:
(√122 - √10)/112.
Step-by-step explanation:
The average rate of change of a function f(x) over an interval [a, b] is given by:
average rate of change = (f(b) - f(a))/(b - a)
Here, we have f(x) = √x - 1, a = 10, and b = 122. So, the average rate of change of f(x) from x = 10 to x = 122 is:
(f(122) - f(10))/(122 - 10)
= (√122 - 1 - √10 + 1)/(112)
= (√122 - √10)/112
Therefore, the exact, fully simplified answer for the average rate of change of f(x) from x = 10 to x = 122 is (√122 - √10)/112.
Shelby is playing hide-and-seek with Dillon and Patty. Dillon is hiding 15 meters south of Shelby, and Patty is hiding due east of Dillon. If Shelby is 17 meters from Patty, how far apart are Dillon and Patty?
meters= ?
Answer:
8 meters
Step-by-step explanation:
their formation creates a triangle
Shelby to Dillon =15
Shelby to Patty =17
Dillon to Patty =?
a^2 + 15^2 = 17^2
a^2 + 225 = 289
a^2 = 64
a = 8
The provided hypothesis, μ = 55, is the null. It is identifiable by the inclusion of the equality symbol (=). Hଵ: μ ≠ 55
The symbol μ represents the arithmetic mean of the population from which the sample
has been drawn
The given statemen is correct. The given hypothesis, μ = 55, is the null hypothesis, which is identified by the presence of the equality symbol.
The alternative hypothesis, Hଵ: μ ≠ 55, indicates that there is a difference between the population mean and the value specified in the null hypothesis. The symbol μ represents the population mean, which is the average of all the values in the population. In this case, the population from which the sample has been drawn is being referred to. Arithmetic mean is a mathematical term used to describe the average value of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing the sum by the total number of values in the set.
The formula for the arithmetic mean of a set of numbers is:
Arithmetic Mean = (sum of all values) / (total number of values)
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What is the slope of the line that passes through the points
(
−
4
,
−
10
)
(−4,−10) and
(
−
7
,
−
19
)
(−7,−19)?
Answer:
3
Step-by-step explanation:
slope of the line, m = (y2 - y1 ) / ( x2 - x1 )
= (-19 + 10 ) / (-7 + 4)
= -9 / -3
= 3
What is the perimeter of DEFG?
A 2-dimensional graph with an x-axis and a y-axis is given. A parallelogram DEFG is drawn on it with co-ordinates (2,1), (3,4), (7, 5) and (6,2) respectively.
The perimeter of DEFG will be 2(√10+√17).
What are spherical cοοrdinates?The cοοrdinate system that is mοst frequently emplοyed in three-dimensiοnal systems is called spherical cοοrdinates οf the system, represented as (r,Ф,∅ ).
The surface area in three dimensiοns is calculated using the spherical cοοrdinate system. Radial distance, pοlar angles, and azimuthal angle are the three numbers that these cοοrdinates indicate. Additiοnally knοwn as spherical pοlar cοοrdinates.
A 2-dimensiοnal graph with an x-axis and a y-axis is given.
A parallelοgram DEFG is drawn οn it with cο-οrdinates (2,1), (3,4), (7, 5) and (6,2) respectively.
Sο the perimeter will be DE = √10
DG=√17
EF = √17
FG=√10
Sο the perimeter will be 2(√10+√17).
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PLS HELP DUE TODAY NEED ASSISTANCE
The waste sites in State Y in the year 2000 was 21.
The solution to the equation is x = 9.4The equation of a bar diagram, and the solution are 3n + 8 = 53 and n = 15, respectivelyHow to determine the number of Hazardous Waste SiteLet n be the number of hazardous waste sites in State Y.
Based on the problem statement, we have
2n - 8 = 34
So, we have
2n = 42
Divide
n = 21
Hence, the waste sites in State Y in the year 2000 was 21.
How to determine the solution to the equationGiven that
6x + 1.6 = 58
Apply the subtraction property
6x = 56.4
Apply the division property
x = 9.4
Hence, the solution to the equation is x = 9.4
The equation of a bar diagram, and the solutionHere, we have the bar diagram
Adding the terms in the bar, we have
n + n + n + 8 = 53
3n + 8 = 53
Apply the subtraction property
3n = 45
Apply the division property
n = 15
Hence, the bar equation is 3n + 8 = 53
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Select the true statement. Group of answer choices For any real number x, x > 5 implies that x ≥ 5. For any real number x, x ≥ 5 implies that x ≥ 6. For any real number x, x > 5 implies that x ≥ 6. For any real number x, x ≥ 5 implies that x > 5
For any real number x, x > 5 implies that x ≥ 5 is the true statement.
For any real number x, x > 5 implies that x ≥ 5 is the true statement. This can be expressed with the following inequality:
x > 5 implies x ≥ 5
This means that if x is greater than 5, then x must be greater than or equal to 5. We can demonstrate this with an example calculation. Let x = 6.
6 > 5
We can see that 6 is greater than 5, so the inequality is true.
6 ≥ 5
We can see that 6 is also greater than or equal to 5, so the inequality is also true. Therefore, for any real number x, x > 5 implies that x ≥ 5.
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Related to your response to Question 5, is the standardized mean
difference in Dexter and Hughes (2011) the unbiased or biased
version?
effect size measure.
In the case of Dexter and Hughes (2011), the standardized mean difference is an unbiased version.What is an unbiased estimate?An unbiased estimate is a statistical term used to describe an estimate or forecast that has an equal chance of being too high or too low. In Dexter and Hughes (2011), the standardized mean difference is unbiased.A study's standardized mean difference is determined by dividing the difference between two means by their pooled standard deviation. It's used to compare two group means and is a standardized effect size measure.
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You need a 30% alcohol solution. On hand, you have a 675 mL of a 5% alcohol mixture. You also have 75% alcohol mixture. How much of the 75% mixture will you need to add to obtain the desired solution?
you will need____mL for the 75% solution
You need to add 225mL of the 75% alcohol solution to obtain the desired 30% alcohol solution.
To find the amount of 75% alcohol solution needed to obtain a 30% alcohol solution, we must use the formula for dilution:
M1V1 = M2V2
Where M1 is the concentration of the initial solution, V1 is the volume of the initial solution, M2 is the desired concentration, and V2 is the desired volume.
In this case, M1 is 5%, V1 is 675mL, M2 is 30%, and V2 is unknown.
We can rearrange the equation to solve for V2, which is the volume of the 75% alcohol solution needed:
V2 = (M1V1) / M2
V2 = (5% x 675mL) / 30%
V2 = 225mL
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Use linear combination to solve the system of equations. Show your work.
Check your answer to show proof that the solution works in each equation.
[tex]2x+4y=6\\x-4y=-21[/tex]
I need the answer please I will give you 44 points!
The number of hours it would take 3, 5, 6 and 15 bakers to make 30 loaves is :
3 bakers - 2 / 3 hours 5 bakers - 2 / 5 hours 6 bakers - 1 / 3 hours 15 bakers - 2 / 15 hoursHow to find the number of bakers ?Time taken per baker in hours :
= 30 / 2
= 15 loaves per hour per baker
The number of hours it would take 3 bakers to make 30 loaves is :
= ( 30 loaves / ( 15 / 60 minutes x 3 bakers ) ) / 60 minutes per hour
= 2 / 3 hours
5 bakers :
= ( 30 loaves / ( 15 / 60 minutes x 5 bakers ) ) / 60 minutes per hour
= 2 / 5 hours
6 bakers :
= ( 30 loaves / ( 15 / 60 minutes x 6 bakers ) ) / 60 minutes per hour
= 1 / 3 hours
15 bakers :
= ( 30 loaves / ( 15 / 60 minutes x 15 bakers ) ) / 60 minutes per hour
= 2 / 15 hours
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Help me find the perimeter please!!
Answer:
[tex]P = 56\sqrt2[/tex]
Step-by-step explanation:
We can find the perimeter of a square given its diagonal by modeling the square as two congruent right triangles and using the Pythagorean Theorem to solve for the square's side lengths.
The Pythagorean Theorem states that...
[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the right triangles legs, and [tex]c[/tex] is its hypotenuse.
However, since we are working with a square, we know that the right triangles' legs are congruent. Thus, the theorem becomes:
[tex]a^2 + a^2 = c^2[/tex]
[tex]2 \cdot a^2 = c^2[/tex]
Using this formula, we can solve for the square's side lengths, inputting the given hypotenuse length of 28.
[tex]2 \cdot a^2 = 28^2[/tex]
↓ simplify the exponent
[tex]2 \cdot a^2 = 784[/tex]
↓ divide both sides by 2
[tex]a^2 = 392[/tex]
↓ take the square root of both sides
[tex]a = \sqrt{392}[/tex]
↓ simplify the square root
[tex]a = \sqrt{2^3 \cdot 7^2}[/tex]
[tex]a = (2\cdot 7)\sqrt{2}[/tex]
[tex]a=14\sqrt2[/tex]
Finally, we can multiply the side length by 4 to get the square's perimeter (since a square has 4 sides).
[tex]P = 4 \cdot a[/tex]
[tex]P = 4 \cdot 14\sqrt2[/tex]
[tex]\boxed{P = 56\sqrt2}[/tex]
[tex]\boxed{P \approx 79.2}[/tex]
Angie is x years old.
Mandy is 22 years older than Angie.
In 2 years’ time, Mandy will be twice Angie’s age.
Calculate Angie and Mandy’s current age.
The Angie and Mandy’s current age are 22 and 44 years respectively.
Explain about the term linear equations?There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as this same denominator of either a fraction in a linear equation.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.Angie is x years old.
Mandy = 22 + x
After 2 years:
22 + x = 2x
Solving linear equation:
22 = 2x - x
22 = x (Angie’s current age)
Mandy’s current age.
x + 22 = 22 + 22
x = 44
Thus, the Angie and Mandy’s current age are 22 and 44 years respectively.
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Assuming you can afford to spend 30% of your gross monthly income on housing, how much would you be able to afford on monthly rent if you make $34,000 per year?
Answer:
$850
Step-by-step explanation:
If you make $34,000 per year, then you make $2833.33 per month.
[tex]\frac{34000}{12} = 2833.333[/tex]
30% of your monthly income would go towards housing (every month)
(2833.33)(0.3) = $850
The students in Mrs. Holbrook’s class are growing plants. One day they measured the heights of the plants in inches. Make a line plot to represent the data
Based on the information in the table, we can infer that the graph would be as shown in the attached image.
How to graph the information in the table?To graph the information in the table we must analyze the information in the table. In this case we must take into account that to locate the fractions we can perform the division and convert it into a decimal number to locate them more easily on the number line.
In accordance with the above, we can establish that the height that is repeated the most times is 1 7/8 with a frequency of 4 times.
Note: This question is incomplete. Here is the complete information:
Attached image
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. Evaluate: 2(6+4) – 3(5) 1 70 85 5
Answer:
5
Step-by-step explanation:
2(6+4) – 3(5)
= 12 + 8 - 15
= 20 - 15
= 5
So, the answer is 5
2
1 point
Find the value x:
12
Type your answer...
+
6
Answer:
Step-by-step explanation:
1
The Picture and Sound electronics store has hired Trevor to work in the warehouse. He uses a pulley with a hand crank to lift heavy boxes. There is a proportional relationship between the number of times Trevor turns the crank to lift a box, x, and the height the box has been lifted (in feet), y. The equation that models this relationship is y=0.6x.
How high does Trevor lift a box by turning the crank 10 times? Write your answer as a whole number or decimal.
Trevor lifts a box to a height of 6 feet by turning the crank 10 times.
What is equation?In mathematics, an equatiοn is a fοrmula that uses the equals sign (=) tο express hοw twο expressiοns are equal. In οther languages, the wοrd equatiοn and its cοgnates may have slightly different meanings. Fοr instance, in French, an equatiοn is defined as having οne οr mοre variables, while in English, an equatiοn is any prοperly fοrmed fοrmula that cοnsists οf twο expressiοns linked by the equals sign.
Using the equation y = 0.6x, we can calculate the height Trevor lifts a box by turning the crank 10 times:
y = 0.6x
y = 0.6(10)
y = 6
Therefore, Trevor lifts a box to a height of 6 feet by turning the crank 10 times.
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