Answer:487.5
Step-by-step explanation:
if it is a 35% discount it means you are trying to find 65% of the number because 65+35=100%
to find 65%, you find 5% first, then multiply by 13 to get 65%.
to find 5%, you divide by 20.
750/20=37.5.
37.5*13=487.5
The length of the second side of a triangle is twice the length of the first side. The length of the third side is 4 units more than the first side. The perimeter of the triangle is 52 units. How long is each side, and how do you determine that?
Answer:
First side = 12 units
Second side = 24 units
Third side = 16 units
Step-by-step explanation:
First, we can assign variables for each side of the triangle to make it easier:
A = side 1
B = side 2
C = side 3
The length of the second side of the triangle is twice the length of the first side, so we know that B is twice the length of A. We can represent this in an equation like this:
B = A * 2
The length of the third side is 4 units more than the first side. This tells us that C is going to be 4 more than A:
C = A + 4
And finally, the perimeter of the triangle is 52 units. Since the perimeter is just all the sides added together, we can create this equation:
A + B + C = 52
To start solving for lengths, I'm going to plug in the first two equations we got into the third equation:
A + B + C = 52
A + (A * 2) + (A + 4) = 52
1A + 2A + 1A + 4 = 52
4A + 4 = 52
4A = 48
A = 12
Now that we know what A is, we can solve for the other two variables:
B = A * 2
B = 12 * 2
B = 24
C = A + 4
C = 12 + 4
C = 16
Now we have all three variables, just don't forget what the variables represent (first side, second side, third side).
what is the role of the term average in statistics
The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.
Calculation for the average of a set of numbers, follow these steps:
Add up all the values in the data set.
Division of the sum by the total number of values.
For example, consider the following data set: 10, 15, 20, 25, 30.
Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.
Divide the sum by the total number of values: 100 / 5 = 20.
In this case, the average of the data set is 20.
The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.
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a simple random sample of 1000 people age 18 or over is taken in a large town. it turns out that 223 people in the sample are newspaper readers. calculate a 90%-confidence interval for the percentage of people (age 18 and over) in that town who read newspapers. choose the closest answer.
A 90% confidence interval is 20% to 24.6%.
How can we estimate the percentage of people in the town who read newspapers with 90% confidence?To calculate the 90% confidence interval for the percentage of people in the town who read newspapers, we can use the formula:
Confidence Interval = Sample Proportion ± (Critical Value * Standard Error)
First, let's calculate the sample proportion:
Sample Proportion = Number of newspaper readers / Sample size
= 223 / 1000
= 0.223
Next, we need to find the critical value associated with a 90% confidence level.
For a large sample size like this, we can use the Z-score table or a calculator to find the critical value. For a 90% confidence level, the critical value is approximately 1.645.
Now, we can calculate the standard error:
Standard Error = \(\sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)\)
= sqrt((0.223 * (1 - 0.223)) / 1000)
≈ 0.014
Finally, we can calculate the confidence interval:
Confidence Interval = 0.223 ± (1.645 * 0.014)
= 0.223 ± 0.023
≈ (0.200, 0.246)
Therefore, the 90% confidence interval for the percentage of people in the town who read newspapers is approximately 20% to 24.6%.
The closest answer from the options provided would be 20% to 23%.
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Which of the following is a polynomial?
Keisha had $405 in her bank account. Over the summer, she made 4 withdrawals of $45 each a) What is the balance in Keisha's account? * b) Write an integer expression to represent this problem. Solve the problem. *
Answer:
see below
Step-by-step explanation:
The amount she withdrew is 45*4 =180
405 - 4*45=
405 -180 =225
There is 225 in the account
Answer: a) $225
Step-by-step explanation:
405 - 45 (4) = x
405 - 180 = x
225 = x
Calculate the missing angle and give a reason for your answer
Answer:
c = 106°
Step-by-step explanation:
The unknown angle and c° form a straight line which is 180°
So, c° + unknown angle = 180°
Remember, the sum of interior angles of a trapezoid is 360°
So, 126° + 108° + 52° + unknown angle = 360°
unknown angle = 360° - 126° + 108° + 52°
unknown angle = 74°
Now, c° + 74° = 180°
c = 180° - 74°
c = 106°
This questions are going to be in photos
Btw this are different questions
And thank you for your help.
Problem 1
A = 984 ft = height of the tower in real life
B = 328 ft = width of the tower in real life
C = 12 in = height of the scale model
D = unknown = width of the scale model
A/B = C/D
(984 ft)/(328 ft) = (12 inches)/(D inches)
984/328 = 12/D
984D = 328*12
D = 328*12/984
D = 4
Answer: 4 inches is the width of the scale model=========================================================
Problem 2
A = 4 cm = some distance on the map corresponding to B
B = 20 km = the corresponding real life distance to A
C = unknown = some distance on the map corresponding to D
D = 82 km = real life distance corresponding to C
A/B = C/D
(4 cm)/(20 km) = (C cm)/(82 km)
4/20 = C/82
4*82 = 20C
C = 4*82/20
C = 16.4
Answer: Exactly 16.4 cmif there are 30 skaters competing at the olympic games, in how many different ways can the gold, silver, and bronze medals be given?
If there are 30 skaters competing at the olympic games, then the required number of ways = 24360
The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.
Given that,
There are 30 skaters competing in the competition.
To find,
The number of ways in which they can win gold, silver, and bronze medal.
So,
We can write,
In distribution of medals(gold, silver, and bronze) we require 3 winners in a particular order, so for this we use Permutations.
According to permutation , number of ways of selecting r things out of ,
n = \(\frac{n!}{(n-r)!}\)
Then, The number of ways in which 18 skaters can win 3 medals,
= \(\frac{30!}{(30-3)!}\)
= \(\frac{30!}{27!}\)
= \(\frac{30*29*28*27!}{27!}\)
= \(30*29*28\)
= 24360
Therefore,
If there are 30 skaters competing at the olympic games, then the required number of ways = 24360
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Solve for x. Write both solutions separated by a comma. 4x^2-7x-2=0
which method can you use to solve all quadratic equations
Answer:
Factoring.
Completing the Square.
Quadratic Formula.
Graphing.
Step-by-step explanation:
Hope it helps!
I NEED HELP ON THIS ASAP! PLEASE HELP!! I WILL GIVE YOU BRAINLIEST!!
A system of inequalities to represent the constraints of this problem are x ≥ 0 and y ≥ 0.
A graph of the system of inequalities is shown on the coordinate plane below.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of HD Big View television produced in one day and number of Mega Tele box television produced in one day respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of HD Big View television produced in one day.Let the variable y represent the number of Mega Tele box television produced in one day.Since the HD Big View television takes 2 person-hours to make and the Mega TeleBox television takes 3 person-hours to make, a linear equation to describe this situation is given by:
2x + 3y = 192.
Additionally, TVs4U’s total manufacturing capacity is 72 televisions per day;
x + y = 72
For the constraints, we have the following system of linear inequalities:
x ≥ 0.
y ≥ 0.
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Annual sales for a company are $155,000 and increases at a rate if 8% per year for 9 years
The value of annual sales in 9 years is $309,845.72.
What is the value of annual sales in 9 years?In order to determine the annual sales of the company in 9 years, the formula to be used is:
FV = P (1 + r)^n
Where:
FV = Future value P = Present value R = interest rate N = number of years$155,000 x (1.08)^9 = $309,845.72
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What is the perimeter of the blanket in feet?
hat is the area of the blanket in square feet?
The area of a blanket is 4320 square feet and the perimeter of a blanket is 2880 feet.
Given that, person has 120 pieces of fabric to make a blanket.
Each piece of fabric is a square with a side length of 6 inches.
Here, perimeter of a square = 4×6
= 24 feet
Total perimeter = 120×24
= 2880 feet
Area = side²
= 6² = 36 square feet
Total area = 120×36
= 4320 square feet
Therefore, the area of a blanket is 4320 square feet and the perimeter of a blanket is 2880 feet.
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"Your question is incomplete, probably the complete question/missing part is:"
What is the area of the blanket?
What is the perimeter of the blanket in feet?
You have 120 pieces of fabric to make a blanket. Each piece of fabric is a square with a side length of 6 inches. You use as many pieces of fabric as possible to create a square blanket. What is the area of the blanket?
2) Suppose the probability distribution for the one-period return of some asset is as follows: Retur Probability 0.27 0.25€ 0.18 0.25+ 0.10 0.30 0.04 0.20+ b. What is this asset's variance and stand
The asset's variance is approximately 0.0358, and its standard deviation is approximately 0.1891.
To calculate the variance and standard deviation of the asset's returns, we'll follow the steps mentioned earlier using the given probability distribution:
⇒ Calculate the expected return (μ):
μ = (0.27 * 0.25) + (0.18 * 0.25+) + (0.10 * 0.30) + (0.04 * 0.20+)
= 0.0675 + 0.045 + 0.03 + 0.008
= 0.1505
⇒ Calculate the variance (σ^2):
σ^2 = [(0.27 - μ)^2 * 0.25] + [(0.18 - μ)^2 * 0.25+] + [(0.10 - μ)^2 * 0.30] + [(0.04 - μ)^2 * 0.20+]
Substituting the values and simplifying:
σ^2 = [(0.27 - 0.1505)^2 * 0.25] + [(0.18 - 0.1505)^2 * 0.25+] + [(0.10 - 0.1505)^2 * 0.30] + [(0.04 - 0.1505)^2 * 0.20+]
= [(0.1195)^2 * 0.25] + [(0.0295)^2 * 0.25+] + [(-0.0505)^2 * 0.30] + [(-0.1105)^2 * 0.20+]
= 0.017972 + 0.00021617 + 0.0030309025 + 0.01459516
= 0.0358141325
⇒ Calculate the standard deviation (σ):
σ = √(σ^2)
= √(0.0358141325)
≈ 0.1891
Therefore, the asset's variance is approximately 0.0358 and the standard deviation is approximately 0.1891.
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Solve 8x + 11 = 5x + 2
Answer:
8x+11=5x+2
8x-5x=2-11
3x=-9
÷by 3 both sides
x=-3
The r in the simple interest formula stands for rate which best describes how to use rate in formula
Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.
Define rate.The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.
Given
The r in the simple interest formula stands for rate.
Convert it to a decimal and multiply is the best way to describe rate in formula.
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What is 5(7-2)-4x4????
What is 5(7-2)-4x4=9
9 is ur anser
Hope this helps!!!
Answer:
The answer is 9
Step-by-step explanation:
5(7-2)-4x4
solve in the parentheses:
5x5-4x4
do all multiplication:
25-16
do subtraction:
9
f(x)=1/2x show steps please!!
find f(-3)
Answer:
x = -6f
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
Round 74,606.4 to the nearest whole number
Answer:
75000
Step-by-step explanation:
If we have an effect, would error variance go away?
No, the presence of an effect does not necessarily imply that error variance will go away.
Why could not error variance go away?The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.
Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.
It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.
One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.
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Consider the points (-2,4), (-1, 1), (0, 0), (1, 1), and (2,4).
Does this represent a function?
A) Yes
Β) No
You roll a die repeatedly, stopping when you roll a 1. Your score is the sum of values of all your rolls. What is the expected score
Using the binomial distribution, it is found that the expected score of the game is of 21.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
\(E_s(X) = \frac{q}{p}\)
In this problem, a die has a p = 1/6 probability of resulting in a 1, hence the expected number of trials is:
\(E_s(X) = \frac{1}{\frac{1}{6}} = 6\)
In each trial, each outcome from 1 to 6 is equally as likely, hence the expected score of a single trial is given by:
\(E = \frac{1 + 6}{2} = 3.5\)
Then, the expected score of the six trials is:
6 x 3.5 = 21.
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which of the following points satisfies the inequality 2x - 3y < 1?
Answer:
None of the given points satisfy the inequality 2x - 3y < 1.
Step-by-step explanation:
To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.
Let's consider the given points:
Point A: (1, 0)
2(1) - 3(0) < 1
2 - 0 < 1
2 < 1 (False)
Point B: (-1, -1)
2(-1) - 3(-1) < 1
-2 + 3 < 1
1 < 1 (False)
Point C: (3, -2)
2(3) - 3(-2) < 1
6 + 6 < 1
12 < 1 (False)
None of the given points satisfy the inequality 2x - 3y < 1.
Therefore, none of the points A, B, or C satisfy the inequality.
What is the inverse of the function f(x) = 3x - 122
Answer:
Step-by-step explanation:
y = x/4 - 12
x = y/4 - 12
y/4 - 12 =x
y/4 = x + 12
y = 4x + 48
h(x) = 4x + 48
y = 3x - 122
x = 3y - 122
3y - 122 = x
3y = x + 122
y = x/3 + 122/3
f^-1(x) = x/3 + 122/3
What is 2/3 of 16 please help
Answer:
its 10.6 i think
Answer:
10.6666666667
Step-by-step explanation:
Suppose X = 6. If X changes to 27, what percentage change is this? Please round your answer to 2 decimal places.
The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
Given:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
We have:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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Dotermine if the argument is valid or not If the ice melts or a food occurs, then the global temperature has increased the global temperature has not increased. Therefore, a food occurs. Choose the correct answer below The argument is valid The argument is not vald
The argument is not valid.
The argument assumes that a flood occurs only if the global temperature has increased, but this is not necessarily true. A flood can occur due to other reasons such as heavy rain, land use changes, or other natural disasters. Therefore, the conclusion "a flood occurs" does not necessarily follow from the premises given.
This means that if either the ice melts or a flood occurs, then the global temperature must have increased. However, the converse of this statement is not necessarily true. That is, the global temperature can increase for reasons other than the ice melting or a flood occurring. Therefore, it is not valid to conclude that a flood must occur just because the global temperature has not increased.
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answer this question i’ll give brainliest
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Compare and contrast the formulas for calculating the volume of a cone and the volume of a pyramid. Give a mathematical example to illustrate your discussion.
The similarity between the volume of a cone and the volume of a pyramid is that:
Both of them have a base which extends into a single vertex.Both formulas are given by 1/3 × b × h.In contrast, the differences between the volume of a cone and the volume of a pyramid include:
A cone has a single edge while a pyramid has a minimum of 6 edges.The base of a cone is always a circle while the base of a pyramid is a polygon.How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²h
Where:
h is the height.r is the radius.How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.b is the base area.In this context, we can infer and logically deduce that the similarity between the volume of a cone and the volume of a pyramid is that:
Both of them have a base which extends into a single vertex.Both formulas are given by 1/3 × b × h.On the other hand (conversely), the differences between the volume of a cone and the volume of a pyramid include:
A cone has a single edge while a pyramid has a minimum of 6 edges.The base of a cone is always a circle while the base of a pyramid is a polygon.Read more on pyramids here: https://brainly.com/question/23215508
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PLEASE PLEASE HELP ME!!! 25 POINTS!!!
Find YZ
Answer:
Is it not 2x + 12?
Step-by-step explanation:
Answer:
YZ =2x+12
= x + 6 ........( dividing the equation by 2 )
x=-6
yz = 2x + 12
= 2(-6) +12
= 0