The expression to the scenario it's represent is as follows:
The price of a USB memory stick selling at 21% discount off it marked price(m) → 0.21m
The price of Cd that sells for 21% more than the amount (m) needed to manufacture the CD → 1.21m.
The final value of painting after the initial value, m increases by 2 / 5 → 7 / 5 m.
The total number of markers Nancy have if she gives away 2 / 5 of her m markers to Amy → 3 / 5 m
What is expression?An algebraic expression is made up of variables and constants, along with algebraic operations like subtraction, addition, multiplication and division.
Therefore, let's match the algebraic expression with the scenario.
The price of a USB memory stick selling at 21% discount off it marked price(m).
Hence, the expression is 21% of m = 21 / 100 m = 0.21m
The price of Cd that sells for 21% more than the amount (m) needed to manufacture the CD.
Hence, the expression is 21%m + m = 0.21m + m = 1.21m.
The final value of painting after the initial value, m increases by 2 / 5.
Hence, the expression is 2 / 5 m + m = 7 / 5 m.
The total number of markers Nancy have if she gives away 2 / 5 of her m markers to Amy.
Hence, the expression is m - 2 / 5 m = 3 / 5 m.
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Last week Scott ran 43 miles less than James. Scott ran 5 miles. How many miles did James run?
A. 35
B. 44
C. 38
D. 48
Answer:
D) 48
Step-by-step explanation:
Let s = Scott
Let j - James
s = 5
s + 43 = j Substitute 5 for s
5 + 43 = j
48 = j
The inequality x ≥ -3 is satisfied by point (0, -2). True False
please explain!!
Answer:
true
Step-by-step explanation:
x \(\geq\) -3, when graphed, is a vertical line which crosses the x-axis at -3
The solution area is then shaded either to the left of that line or to the right
Look at the point (0, -2); the x-coordinate is zero, which is greater than -3
Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x \(\geq\) -3
-12d^2 + -40d^2
----
neg or positive outcome?
Answer: Its negetive. The answer is -52d^2
Hope this helped you!
Answer:
negativeStep-by-step explanation:
\(-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}\)
Since −52 is negative and d² is always positive for any number d
Then ,their product −52 d² is negative .
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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Find two 2 possible value of the geometric mean of 16 and 36
Answer:
\(\pm24\)
Step-by-step explanation:
To find the geometric mean of two numbers, you find their product and then take the square root of that product:
\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)
a. Three fifths of the students in the class are boys. If there are 15 boys in
the class, how many students are there in all?
Answer:
25 students.
Step-by-step explanation:
15 = 3/5
divide by 3 to find 1/5 of the class
5 = 1/5
multiply by 5 to find 5/5 (100%) of the class
25 = 1
There are 25 students in the class.
Which statements about the location of the point are
true? Select three options.
The point is in the first octant.
The point lies behind the yz-plane.
The x-coordinate is -3.
The y-coordinate is positive.
The point lies to the left of the xz-plane.
Answer:
Step-by-step explanation:
a large company is being sued for false advertisement because 18% of the flashlights in its shipping boxes are defective, but the company claims that only 8% are defective. you plan to use hypothesis testing to determine whether there is significant evidence that the company is falsely advertising. part a: state the null and alternative hypotheses for the significance test. (2 points) part b: in the context of the problem, what would a type i error be? a type ii error? (2 points) part c: if the hypothesis is tested at a 10% level of significance instead of 5%, how will this affect the power of the test? (3 points) part d: if the hypothesis is tested based on the sampling of 100 boxes of flashlights rather than 1,000 boxes of flashlights, how will this affect the power of the test? (3 points) source stylesformatfontsize
The required solution for the hypothesis testing is shown.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here, we have,
Part A:
The null hypothesis (H0) is that the company's claim is true, and the proportion of defective batteries is 5% or less.
The alternative hypothesis (Ha) is that the company's claim is false, and the proportion of defective batteries is greater than 5%.
H0: p ≤ 0.05
Ha: p > 0.05
where p represents the proportion of defective batteries.
Part B:
A Type I error in this context would be rejecting the null hypothesis (i.e., finding significant evidence that the proportion of defective batteries is greater than 5%) when it is actually true (i.e., the proportion of defective batteries is 5% or less). This would be a false positive result.
A Type II error would be failing to reject the null hypothesis (i.e., not finding significant evidence that the proportion of defective batteries is greater than 5%) when it is actually false (i.e., the proportion of defective batteries is greater than 5%). This would be a false negative result.
Part C:
If the hypothesis is tested at a 5% level of significance instead of 1%, this means that the criteria for rejecting the null hypothesis will be less stringent. In other words, it will be easier to find significant evidence that the company's claim is false. Therefore, increasing the level of significance from 1% to 5% will increase the power of the test.
Part D:
If the hypothesis is tested based on the sampling of 500 boxes of batteries rather than 100 boxes of batteries, this means that the sample size is larger. As a result, the standard error of the estimate will be smaller, and the test will be more precise. This increased precision will increase the power of the test.
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What is the answer to this combination lock
Answer: 375
Step-by-step explanation:
Ruling out each number:
6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.
3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.
2 & 4 & 8: Is proven wrong in the 4th clue.
7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.
1: Is proven wrong after 7 is proven true.
Figuring out placement:
5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.
3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.
7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.
Growth models question
The recursive formula for this problem is given as follows:
\(P_n = 1.05 \times P_{n - 1}\)
The explicit formula for this problem is given as follows:
\(P_n = 150(1.05)^n\)
The number of tickets in 2026 is given as follows:
297 tickets.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n}\)
In which \(a_1\) is the first term.
The parameter values for this problem are given as follows:
\(a_1 = 150, q = 1.05\)
Hence the function is given as follows:
\(P_n = 150(1.05)^n\)
2026 is 14 years after 2012, hence the number of tickets is given as follows:
\(P_{14} = 150(1.05)^{14} = 297\)
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cassie prepaid a 6-month membership to the summer lotus yoga studio. she received a one-time discount of $40 for prepaying. cassie paid a total of $650.
The amount which Cassie will pay the studio per month will be $115.
The equation by taking data from the question will be
6m - 40 = 650
6m−40=650
On solving this we get ,
6m = 610
m = 115
The regular cost per month is $115.
The above question is an example of multi-step equation.
Multi-step equations are algebraic expressions that must be solved using more than one operation, such as subtraction, addition, multiplication, division, or exponentiation. When solving multi-step equations, it is critical to understand the order of operations.
Solve an equation with a single unknown variable, x, by using algebraic operations on both sides of the equation to isolate x. The goal is to select an algebraic operation sequence that will leave x on one side of the equal sign and put everything else on the other side.
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Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
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Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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f(x) =x(x-1) on R to R
find A and B such that g: A to B defined by g(x)=f(x) is bijective
this is an algebra question, help.
details are needed
Answer: To find A and B such that g(x) = f(x) is bijective, we need to ensure that g(x) satisfies the conditions for a bijective function, namely, that it is both injective and surjective.
To show that g(x) is injective, we need to show that for any distinct x1, x2 in A, g(x1) ≠ g(x2). We can do this by assuming that g(x1) = g(x2) and then showing that it leads to a contradiction.
So, let's assume that g(x1) = g(x2). Then, we have:
f(x1) = f(x2)
x1(x1-1) = x2(x2-1)
x1^2 - x1 = x2^2 - x2
x1^2 - x2^2 - x1 + x2 = 0
(x1 - x2)(x1 + x2 - 1) = 0
Since x1 and x2 are distinct, we must have x1 + x2 = 1.
But this is impossible, since x1 and x2 are both real numbers, and the sum of two real numbers cannot equal 1 unless one of them is complex. Therefore, our assumption that g(x1) = g(x2) must be false, and g(x) is injective.
To show that g(x) is surjective, we need to show that for any y in B, there exists at least one x in A such that g(x) = y. In other words, we need to find an expression for x in terms of y.
So, let's solve the equation f(x) = y for x:
x(x-1) = y
x^2 - x - y = 0
Using the quadratic formula, we get:
x = (1 ± √(1 + 4y))/2
Since we want to define g(x) on R, we need to ensure that the expression under the square root is non-negative. This means that 1 + 4y ≥ 0, or y ≥ -1/4.
Therefore, we can define A = [-1/4, ∞) and B = [0, ∞), and g(x) = f(x) is a bijective function from A to B.
I need help with the second part
The probability that each bill is a $1 bill is given as follows:
1/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.
Hence the probability that each bill is a $1 bill is obtained as follows:
p = 1/4 x 1/4
p = 1/16.
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Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
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Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x
Answer:
(C)90 – 10y = 5x
Step-by-step explanation:
Given:
x = number of times she hiked the 5-mile trail
Then, total Distance covered on the 5-mile trail =5xy = number of times she hiked the 10-mile trail
Then, total Distance covered on the 10-mile trail =10yMaria hikes a total of 90 miles
Therefore, total distance hiked can be represented by the equation:
5x+10y=90
Subtract 10y from both sides, we have:
5x=90-10y
This is option C.
Answer:
C
Step-by-step explanation:
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
What is the measure of one exterior angle of a 15-sided regular polygon?
O 12 degrees
O 168 degrees
O24 degrees
O 156 degrees
Answer:
24°
Step-by-step explanation:
For an n-sided regular polygon, the sum of internal angles = (n-2)×180°
Since all internal angles are equal, the internal angle can is given as:
Here, it is given that the polygon has 15 sides.
So n = 15
So each internal angle is 156°.
Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.
So external angle = 180° - 156° = 24°.
The measure of each external angle is 24°.
A recipe calls for 2
cups of sugar. How many fourths is that?
(1 point)
03
08
011
O 14
Answer:
8
Step-by-step explanation:
2*4=8
Answer:
8 fourths
Step-by-step explanation:
Gutina finds a limited edition shirt from her favorite singer. It was originally $52. Then, she got a discount, 30%. what is the price now?
Answer:
$36.40
Step-by-step explanation:
Purchase Price:
$52
Discount:
(52 x 30)/100 = $15.60
Final Price:
52 - 15.60 = $36.40
$36.40 is the answer. Hope this helps!
Answer:
$36.40
Step-by-step explanation:
Sorry if i'm wrong hope this helps
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
If you know the answer please put the answer and the explanation thank you.
In the class, Lucy's score is 6.
How to work out Lucy's score?In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.
The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.
Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.
Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:
2 + 2 + 4 + 7 = 15
Thus, the the corresponding score at the 15th position is 6.
Therefore, the median score is 6 and consequently Lucy's score is 6.
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The simple interest charged on a 2-month loan of $22,000 is $521. Find the simple interest rate. (Round your answer to one decimal place.)
How to solve this problem
Answer:
The image is blurry...try fixing it so I can help you.
Solve |x-5| > -2. Write your solution in interval notation.
Answer:
(−∞,∞)
Step-by-step explanation:
Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.
All real numbers
So, the answer is (−∞,∞)
Evaluate and match each expression on the left to its value on the right, when x=6 and y=5
12 + x
3x + y
4y -10
(1)/(2)xy
Answer:
12 + x --> 18
3x + y --> 23
4y - 10 --> 10
(1)/(2)xy --> (1)/(60)
Step-by-step explanation:
Let's evaluate each expression with the given values of x=6 and y=5:
Expression: 12 + x
Substituting x=6 into the expression, we get: 12 + 6 = 18
Expression: 3x + y
Substituting x=6 and y=5 into the expression, we get: 3(6) + 5 = 18 + 5 = 23
Expression: 4y - 10
Substituting y=5 into the expression, we get: 4(5) - 10 = 20 - 10 = 10
Expression: (1)/(2)xy
Substituting x=6 and y=5 into the expression, we get: (1)/(2)(6)(5) = (1)/(2)(30) = (1)/(60)
Need help don’t know what to do I’m confused
Answer:
last option; h = 2t - d
Step-by-step explanation:
t = 1/2(d + h)
t = \(\frac{d}{2}\) + \(\frac{h}{2}\)
now multiply each side by 2 to eliminate denominator
2t = 2 (\(\frac{d}{2}\) + \(\frac{h}{2}\))
2t = d + h
h = 2t - d
I have an Amazon account that I pay a flat rate of $8 a month. With it, I get free movies and shows. However, any premium movie I purchase costs me $4 more. If I spent $24 last month, how many premium movies did I buy?
The equation would be set up as shown below:
(Let x represent the amount of premium movies I bought.)
4x + 8 = 24
next: subtract 8 from both sides = 4x = 16
then: divide both sides by 4, which gives us our answer = x = 4
So I purchased 4 premium movies.
What are your examples or equations in your day-to-day life?
A common example of equations in day-to-day life would be budgeting.
Equations are also used in everyday tasks such as calculating the distance of a trip.
What is budgeting?Budgeting includes identifying sources of income, estimating expenses, setting financial goals and staying on track to achieve those goals.
For example, if I had a budget of $500 a month and I needed to purchase groceries, gas and entertainment, I would set up the equation as shown below:
Let G = groceries, G = gas, E = entertainment
G + G + E = 500
From this equation, I can determine how much I can spend on each item, depending on the budget I have set.
Equations are also used in everyday tasks such as calculating the distance of a trip. For example, if I am travelling 50 miles at a speed of 60 miles per hour, I can set up the equation as shown below:
Speed (s) x Time (t) = Distance (d)
60s x t = 50
From this equation, I can determine how much time it will take me to travel the given distance.
In conclusion, equations are used on a daily basis in our lives, whether it is to manage our budgets, to calculate distances, or to solve other everyday problems.
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