Answers
1a. No, the value of 60% of 400 is 240.
1b. No, the value of 60% of 200 is 120.
1c. No, the value of 60% of 120 is 72.
2. The equation the express the relation 60%, x, and 87 is 0.6x = 87. The value of x is 145.
3a.The equation is0.6c = 43.2. The value of c is 72.
3b. The equation is0.38e = 190. The value of e is 500.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
1.a
Compute the vale of 60% of 400.
Using the formula a% = a/100
60% of 400 = 60/100 of 400
Replace of by multiplication:
60% of 400 = (60/100) × 400
60% of 400 = 240.
1b.
Compute the vale of 60% of 200.
Using the formula a% = a/100
60% of 200 = 60/100 of 200
Replace of by multiplication:
60% of 200 = (60/100) ×2 00
60% of 400 = 120.
1c.
Compute the vale of 60% of 120.
Using the formula a% = a/100
60% of 120 = 60/100 of 120
Replace of by multiplication:
60% of 120 = (60/100) × 120
60% of 400 = 72.
2.
Given that 60% of x is 87.
Compute the vale of 60% of x.
Using the formula a% = a/100
60% of x = 60/100 of x
Replace of by multiplication:
60% of x = (60/100) × x
60% of x = 0.6x
Therefore the relationship is 0.6x = 87
Now divide both sides by 0.6:
x = 87/0.6
x = 145.
3a.
Given that 60% of c is 43.2.
Compute the vale of 60% of c.
Using the formula a% = a/100
60% of c = 60/100 of c
Replace of by multiplication:
60% of c = (60/100) × c
60% of c = 0.6c
Therefore the relationship is 0.6c = 43.2
Now divide both sides by 0.6:
c = 43.2/0.6
c =72.
3b.
Given that 38% of e is 190.
Compute the vale of 38% of e.
Using the formula a% = a/100
38% of e = 38/100 of e
Replace of by multiplication:
38% of e = (38/100) × e
38% of e = 0.38e
Therefore the relationship is 0.38e = 190
Now divide both sides by 0.38:
e = 190/0.38
e = 500.
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Related Questions
Sara made a withdrawal of 80$. Tom deposited 47.50.. which transactions involved more money?
Answers
Answer:
I don’t know bums
Step-by-step explanation:
y’all dum
write and solve an equation to find the value of the variable.104, 137, 154, 131, z ; mean =130
Answers
We have to sum the numbers together here.
\(\begin{gathered} \frac{104+137+154+131+Z}{5}\text{ = }\frac{130}{1} \\ \frac{526+Z}{5}\text{ = }\frac{130}{1} \\ 526\text{ +Z = 5 X 130} \\ 526\text{ + Z = 650} \\ Z\text{ = 650 -526} \\ Z\text{ = 124} \end{gathered}\)Answer is 124
70 points!!!!!!!!!!
Rewrite y=2(1.06)9t in the form y=a(1+r)t or y=a(1−r)t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.
Answers
The function is an exponential growth function
How to determine the type of the functionThe function is given as
y=2(1.06)^9
We can begin by rewriting the given equation as:
y = 2 * 1.06t
So, we have
y = 2 * (1 + 0.06)^t
Now we can see that the equation is in the form y = a*b^t,
where a = 2 and b = 1.06^9
This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.
We can re-write it in the form y = a(1+r)t,
we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.
so we have y = 2(1+0.06)^t
So, the equation represents exponential growth with a = 2 and r = 0.06
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Find the point on the line -6x + 3y + 2 = 0 which is closest to the point (0,-3)
Answers
Answer:
(-14/15, -114/45)
Step-by-step explanation:
The shortest distance between a given point and a line is the perpendicular segment from the closest point on the line to that given point. Therefore, if we get the given equation to be in slope-intercept form and then find the line perpendicular to it that also passes (0,-3), we'll be able to see what the closest point is.
Original line in slope-intercept form
\(-6x+3y+2=0\\3y+2=6x\\3y=6x-2\\y=2x-\frac{2}{3}\)
Perpendicular line that passes through (0,-3)
\(y=-\frac{1}{2}x+b\\-3=-\frac{1}{2}(0)+b\\-3=b\\\\y=-\frac{1}{2}x-3\)
Find where both lines intersect
\(2x-\frac{2}{3}=-\frac{1}{2}x-3\\12x-4=-3x-18\\15x-4=-18\\15x=-14\\x=-\frac{14}{15}\\\\-6x+3y+2=0\\-6(-\frac{14}{15})+3y+2=0\\\frac{84}{15}+3y+2=0\\\frac{114}{15}=-3y\\y=-\frac{114}{45}\)
Therefore, the point on the line -6x + 3y + 2 = 0 which is closest to the point (0,-3) would be (-14/15, -114/45).
A children's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. Gina wants to spend no more than $100 on her son's fourth birthday party. Write an inequality for the number of children who can attend the birthday party, and solve the inequality.
A) 50 + 6.25x 100; x>8
B) 50 + 6.25x 100; x 8
D) 50 + 6.25x 100; x<8
Answers
Answer:
D
Step-by-step explanation:
100>50 +6.25x, subtract 50 from both sides
50>6.25x, divide both sides by 6.25
8>x or x<8
Answer:
c
Step-by-step explanation:
The length of a rectangle is 2 cm longer than its width.
If the perimeter of the rectangle is 44 cm, find its area.
Answers
Answer:
perimeter = 2(b x L)
p° 2(2+20)
= 22X2 =44cm
area = B x W
a = 20x 2 =40 cm²
HbUhgghbjhgbijhnh(uhgbuygbuyg..
Answers
Answer:
5
Step-by-step explanation:
u gotta add the H's with The U's and then ye
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold 640 worth of jewelry. How much did Heidi make in commission? How much did the jewelry store make from sales?
Answers
Answer:
12,800 Dollars USD
Step-by-step explanation:
suppose section 1 has 30 students and section 2 has 20. find the sd of the scores of all the students in the class
Answers
The standard deviation of the scores of all the students in the class to be:
σ = √[(Σ(x - 80)2) / 50] = 11.18
The standard deviation of the scores of all the students in the class is calculated using the formula
σ = √[(Σ(x - μ)2) / N]
where μ is the mean of the scores and N is the total number of students in the class.
In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.
Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:
σ = √[(Σ(x - 80)2) / 50]
In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.
For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.
Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:
σ = √[(Σ(x - 80)2) / 50] = 11.18
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Use implicit differentiation to find dy/dx and d^2y/dx^2.
Answers
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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10% of the 150 students in sixth grade are on the student council. How many sixth graders are on the student council?
plz help
Answers
Answer:
The answer is 15.
Step-by-step explanation:
10% of 150 is 15. (you can take away the zero)
Answer:
15 six graders would be in student council
Step-by-step explanation:
150/10
In a survey of 720 human resource professionals, each was asked about the importance of the education of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
Answers
It seems to be reasonable so because survey data is unbiased.
What is defined as the unbiased survey data?An unbiased sample is one in which every individual or element in the population does have an equal chance of being chosen.
A sample assessment of a population parameter for whom sampling distribution does have a mean equal to the parameter of been estimated is an unbiased statistic. Some traditional statistics provide unbiased estimates of their associated parameters, while others do not. The sample mean is the most basic example of an unbiased statistic. The sample mean is normally distributed with a mean equal to the population mean under the usual assumptions of population normality and simple random sampling with a mean equal to the population mean and a standard deviation equal to the population variance divided by the square root of the sample size.As, for the given question, the 720 human resource professionals survey is done considering each individual equal weight age for all.
A population proportion is also a unbiased estimate of a sample proportion.
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Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Answers
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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About 24% of flights departing from New York’s John F. Kennedy International Airport were delayed in 2009. Assuming that the chance of a flight being delayed has stayed constant at 24%, we are interested in finding the probability of 10 out of the next 100 departing flights being delayed. Noting that if one flight is delayed, the next flight is more likely to be delayed, which of the following statements is correct? Group of answer choices
Answers
Answer:
Step-by-step explanation:
The question is incomplete. The missing part is:
(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability. (B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability. (C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability
Solution:
In binomial probability, the assumption is that there is only one outcome for each trial. This is because the probability of success or failure is constant. Each trial is also independent of the other trial. This means that the probability of event A happening does not depend on the outcome of event B.
In the given scenario, the probability of a flight being delayed depends on the probability of the previous flight being delayed. It means that the outcomes are not independent. In geometric probability, a trial is repeated until success is achieved. The outcomes are also independent. Therefore, the correct option is
(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.
The statement that is correct would be:
C). We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.
Binomial probabilityIn the case of binomial probability, it is assumed that the outcome occurring for every trial would remain 1 only because there is consistency in terms of success or defeat.
This implies that the outcome of one will not impact the other's result.
Since the third statement shows that there is no possibility of estimating the probability by employing the method of binomial distribution as one flight's taking off or delay will not impact the other and they remain independent.
Thus, option C is the correct answer.
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The options are missing in the question. They are provided as follows:
(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.
(B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.
(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability
A university is interested in determining the average statistics anxiety score for all undergraduate students in the U.S. For a random sample of 33 undergraduate students, it is found that the average average statistics anxiety score is 39.4 with a standard deviation of 0.9. Assume that the statistics anxiety scores for all undergraduate students in the U.S is normally distributed. A 98% confidence interval for the true mean statistics anxiety score μ is closest to.
Answers
The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).
To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.
Next, we calculate the standard error (SE) using the formula:
SE = standard deviation / √sample size
In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156
Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)
Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363
This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.
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✨Plz help me with my Homework!✨
This is “Finding unit rate”
Plz!
Answers
2. 6 eggs
3. About $0.81
Work:
1. 3,420 ÷ 5 = 684
2. 48 ÷ 8 = 6
3. 4.88 ÷ 6 ≈ 0.81
What is the simplified form of each expression?
21. 2x + 5x + 4x
A. 11 + 3x
B. 7x
C. 11x
D. 7x + 4x
Answers
Answer:
C
Step-by-step explanation:
They all share a common variable so you can add them all together to get the simpliest form.
Noah is finding 3/4 of 8 find his mistake and correct it
Answers
you need to show his steps or else i cant find his mistake
Kwame is given the graph below.
Which of the following best describes the graph?
a quadratic equation with differences of 1, then 2, then 4, ...
an exponential function with a growth factor of 2
a quadratic function with a constant difference of 2
an exponential function with growth factors of 1, then 2, then 4, ..
Answers
The best description of the graph is "a quadratic function with a constant difference of 2."
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.
In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.
On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.
Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.
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Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
Answers
2. The transformations are given as follows:
Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.3. The transformations are given as follows:
Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.How to define the transformations?For item 2, the transformations in this problem are given as follows:
Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.For item 3, the transformations are given as follows:
Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.More can be learned about translations at brainly.com/question/28174785
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grade 11 2022 June common test mathematics memorandum?
Answers
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
When solving an inequality that results in negative x, we must reverse the inequality and reverse the signs of all the numbers.
True or false please help
Answers
Answer:
trust your instincts
Step-by-step explanation:
im on a chalnge i will let you decide your destiny on your own
The number 40 is increased by 75% the result is then deacreased by 50% what is the final number
Answers
Answer:
35
Step-by-step explanation:
75% of 40 is 30
40+30=70
70/2=35
Juan is selling tickets for a high school playChild tickets cost $3 and adult tickets cost $10. He selts 205 tickets and collects $1560
Answers
Answer:
135 Adult tickets and 70 Child tickets sold
Step-by-step explanation:
135*10 (adult ticket price) = 1,350
70*3 (child ticket price) = 210
$1,350 + $210 = $1,560
135 + 70 = 205 tickets sold
horizontal and vertical lines draw out notice because they appear more visually active than diagonal lines.
Answers
The given statement "horizontal and vertical lines draw out notice because they appear more visually active than diagonal lines." is false.
In geometry, the term line is referred as the path of a moving point through space.
Here we have given the statement "horizontal and vertical lines draw out notice because they appear more visually active than diagonal lines."
And we need to identify whether the given statement is true or not.
While we looking into the given problem, we know that the diagonal line in a composition is considered to be the most dynamic line and suggests movement along that path and they are straight lines that slant in any direction except horizontal or vertical.
Based on this definition, we have identified that the given statement is false.
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In ΔRST, the measure of ∠T=90°, the measure of ∠S=35°, and ST = 2.9 feet. Find the length of RS to the nearest tenth of a foot.
Answers
Answer:
3.5
Step-by-step explanation:
i'm smart
Paul bought a slice of pizza for $2.50 and a drink for $1.25. How much change will he receive if he pays with a $5 bill?
Answers
Answer:
\(\huge\boxed{\sf $1.25}\)$1.25
Step-by-step explanation:
Pizza = $2.50
Drink = $1.25
Total = $2.50 + $1.25
= $3.75
Paul has = $5
Change received = total money - money spent
= $5 - $3.75
= $1.25
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Use the substitution u = 9x2 + 8 to find the following indefinite integral Check your answer by differentiation '18x sin (9x2 + 8) 18x sin (9x2 + 8) dx=
Answers
The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.
Explain about the indefinite integral?A function that accepts the antiderivative of that other function is said to take an endless integral. Visually, it is shown as an integral indicator, a function, and finally a dx. It is simpler to represent taking the antiderivative using the indefinite integral.The given integral is;
y = ∫18x sin (9x² + 8) dx
Put u = 9x² + 8
Then, on differentiation
18x dx = du
substitute the values:
y = ∫ sin (u) du.
y = -cos u
Put u = 9x² + 8
y = -cos (9x² + 8) + c
c is the constant of integration.
Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.
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Suppose y varies directly with x. When x is 5, y is 15. What is y when x is 12?
Answers
Answer:
y = 36
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition when x = 5 , y = 15
15 = 5k ( divide both sides by 5 )
3 = k
y = 3x ← equation of variation
when x = 12 , then
y = 3 × 12 = 36
14) What are the x-intercept and the y-intercept of the equation, 2x + y = 13? Describe how to graph this line using the intercepts.
Answers
the given expression is,
2x + y = 13
y = 12 - 2x
y - 13 = 2x
y - 13 = 2 (x - 0)
so the y-intercept is 13
and x-intercept is 0