Answer:
33
Step-by-step explanation:
25/30=45/x
x=63
63-30=?
?=33
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars 3
5
Total Cost $6.65
8
$10.45 $16.15
12
$23.75
15
$29.45
20
$38.95
25
$48.45
Based on the data in the table, find the slope of the linear model that represents the cost
of the candy per bar: m =
Answer:
The slope of a linear model can be calculated using the formula:
m = Δy / Δx
where:
Δy = change in y (the dependent variable, in this case, total cost)
Δx = change in x (the independent variable, in this case, number of candy bars)
This is essentially the "rise over run" concept from geometry, applied to data points on a graph.
In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.
Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).
Δy = $48.45 - $6.65 = $41.8
Δx = 25 - 3 = 22
So the slope m would be:
m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar
This suggests that the cost of each candy bar is $1.9 according to this linear model.
Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.
You receive an 11% commission on all the sales you make. This month, you made a sale of $45,050, what is your commission?
Please help quickly I am really stuck
Answer:
4,955.50
Step-by-step explanation:
45050x.11=4955.50
30 POINTS PLS HELP!!!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
c remember vitamin c is helpful to you
Answer:
B 7 but the maths are always confusing at times its just the line one the side lifting the other one
GIVING BRAINLYYY
for the function {(0,1), (1,-3), (2,-4), (-4,1)} , write the domain and range
Answer:
Step-by-step explanation:
Domain: {0, 1, 2, - 4}
Range: {1 , - 3, - 4}
PLEASE PLEASE PLEASE HELP ME WITH THIS ASSIGNMENT ASAP: For the birds- Wildlife Management Algebra 2
A 95% confidence interval for a mean was constructed and yielded an interval of (9.85, 11.32). Interpret the meaning of the confidence interval.
The confidence interval in "The 95% confidence interval for the mean, based on the given information, is (9.85, 11.32)" indicates that we are 95% confident that the true population mean falls within this range.
Interpreting the confidence interval, it means that if we were to take multiple samples from the same population and calculate the confidence intervals, approximately 95% of those intervals would contain the true population mean.
In this specific case, it suggests that we are 95% confident that the true mean lies between 9.85 and 11.32.
The confidence interval refers to the precision of our estimate, not the likelihood of the true mean falling within the specific interval calculated from a single sample.
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what is the solution of (3x+8)/(x-4) greater than or equal to=0
Answer:
x ≥ -8/3
Step-by-step explanation:
=> \(\frac{3x+8}{x-4} \geq 0\)
Multiplying both sides by (x-4)
=> 3x+8 ≥ 0
Subtracting 8 to both sides
=> 3x ≥ -8
Dividing both sides by 3
=> x ≥ -8/3
Answer:
\(x\le \:-\frac{8}{3}\)
\(x>4\)
Step-by-step explanation:
\(\frac{3x+8}{x-4}\ge \:0\)
Multiply both sides by (x - 4).
\(\frac{3x+8}{x-4} (x-4) \ge \:0(x-4)\)
\(3x+8\leq \:0\)
\(3x+8-8\leq \:0-8\)
\(3x \leq \:-8\)
\(x\le \:-\frac{8}{3}\)
Makes denominator equal to 0.
\(x-4=0\)
\(x = 4\)
\(-8/3 \leq x<4\) doesn't work in the original inequality.
\(x>4\) works in the original inequality.
PLEASE HELP IM DESPRATE 50 POINTS
Explain a real world example of a combination where repetition is allowed. You need to EXPLAIN WHY, not just give an example.
A real world example where repetition is allowed is in the sport of archery, where players get multiple attempts to shoot an arrow as close to the center of the target as possible
Ten is at least the product of a number h and 5.
Answer:
Ten is at least the product of a number h and 5. h = 2
Step-by-step explanation:
Divide 10 by 5 and you get 2.
Check; 5 x 2 = 10
Consider the series ∑n=1[infinity]1/n(n+5) Determine whether the series converges, and if it converges, determine its value. Converges (y/n): Value if convergent (blank otherwise):
To get an explicit value for this convergent series is not straightforward and may not be possible using elementary methods. Therefore, I can't provide you with the exact value if convergent.
To determine whether the series ∑n=1[infinity] 1/n(n+5) converges or not, we can use the comparison test. The comparison test states that if 0 ≤ a_n ≤ b_n for all n and the series ∑b_n converges, then the series ∑a_n also converges. Conversely, if the series ∑b_n diverges, then the series ∑a_n also diverges.
Your series is: ∑n=1[infinity] 1/n(n+5)
Let's compare it with the series: ∑n=1[infinity] 1/n^2
First, note that 0 ≤ 1/n(n+5) ≤ 1/n^2 for all n. Since the series ∑n=1[infinity] 1/n^2 is a p-series with p=2, which is greater than 1, it converges. Therefore, by the comparison test, the series ∑n=1[infinity] 1/n(n+5) also converges.
Converges (y/n): y
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When computing the control limits for the p-chart, what value is used when the population proportion of defective items is not known
Answer:
sample proportion of defective items
Step-by-step explanation:
The p-chart is a type of chart in which the sample is taken periodically from the production process, so as to determine if the population proportion of defective items in the sample falls within the control limits on the chart.
For a P-chart, as the sample size gets larger it turns more into a normal distribution making it possible to approximate the distribution of the proportion defective.
Awnser please jsjshshshdh
Answer:
No
Step-by-step explanation:
A function cannot have two of the same x values (3 and 3)
I hope this helps!
a farmer has feet of fenced area available to enclose a rectangular area bordering a river. if no fencing is required along the river, find the dimensions of the fenced area that will maximize the area. what is the maximum area?
The dimensions of the fence that will maximize the area are-
Length = 1350 ftWidth = 675 ftMaximum area = 911250 sq. ftWhat is rectangular area?Multiply the width by the height of a rectangle to find its area. If we know the lengths of two sides of a rectangle, we can calculate the height and width.
Now, as per the question;
Let 'L' be the length and,
'W' width of the rectangular
Also, let the river is running along L.
Perimeter to be covered by fence:
P = L + 2W
2700 = L + 2W
Thus, L= 2700 - 2W
Substitute the value of L in the area
Area, A= LW
A = (2700 - 2W)W
A = 2700W - 2W²
This is a quadratic equation;
Now, the vertex of the rectangular with the greatest area will have the greatest width.
(W,A), where W= -b/2a where b = 2700 and a = -2
Solve for W,
W = -2700/2×(-2)
= -2700/-4
W = 675 ft.
Substitute the value of W in L to find it.
L= 2700 - 2W
= 2700 - 2×675
L = 1350 ft
Thus, the maximum area will become;
Maximum area A = 1350 × 675
Maximum area A = 911250 sq. ft
Therefore, the maximum area is found to be 911250 sq. ft
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The complete question is-
A farmer has 2700 feet of fencing available to enclose a rectangular area bordering a river. if no fencing is required along the river, find the dimensions of the fence that will maximize the area. what is the maximum area
Ayo who knows how to do this? plz help
Answer:
Step-by-step explanation:
m∠AOB = 72°
m∠A = 54°
solve the equation 20d+2=0
Answer:
\(20d + 2 = 0 \\ 20d \: = - 2 \\ = d = \frac{ - 2}{20} \\d = \frac{ - 1}{10} \)
find the yy -component of vector a⃗ a→ = (5.0 m/s2m/s2 , −y−y -direction).
The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.
Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s² Answer: 0 m/s².
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The yy-component of vector a⃗ a→ is -y-direction.
Explanation:The yy-component of a vector represents the magnitude of the vector in the y-direction.
In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).
Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.
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A rectangular prism. The prism has a length of 4 units, width of 2 units, and height of 1 unit.
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?
square units
Answer:
28
Step-by-step explanation:
Determine the range of the graph
Answer:
is 20
Step-by-step explanation:
hope this helps
Prove that a triangle having sides 13 cm 24 cm and 13 cm has the equal area to another triangle having sides 29 cm 25 cm and 6 cm.
Answer:
29cm is cool
Step-by-step explanation:
A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%. What is the minimum sample size needed?.
The minimum sample size would be 953.
What is the confidence interval?
A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used.
The given sample space is n = 300.
x = 101 plan to vote
P = x/n = 101/300 = 0.3367
95% confidence = \(P\pm Z_\frac{\alpha}{2}=1.96\)
Confidence Interval:
\(CI=P\pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}\\\\CI=0.3367\pm 1.96 \times \sqrt{\frac{0.3367(1-0.3367)}{300}}\\\\CI=(0.2832, 0,3902)\)
Margin of error = 3%
The margin of Error = \(Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}\)
\(3 \% = P\pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}\)
\(\frac{1}{\sqrt{n}}=\frac{0.03}{1.96\sqrt{(0.3367)(1-0.3367)}}\\\\\sqrt{n} = 30.875\\\\n = 953\)
Hence the minimum sample size = 953.
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why is crout factorization faster than gaussian
Crout factorization is faster than Gaussian elimination because it takes advantage of the structure of a matrix and reduces the number of operations required to solve a system of linear equations.
In Crout factorization, the matrix is decomposed into a lower triangular matrix and an upper triangular matrix, which can be solved efficiently using forward and backward substitution.
This technique avoids the need for row interchanges, which are required in Gaussian elimination to avoid dividing by zero and to choose the largest pivot element. Row interchanges are computationally expensive because they require swapping entire rows of the matrix.
Additionally, Crout factorization is more numerically stable than Gaussian elimination because it produces a factorization that is less sensitive to rounding errors in the coefficients of the system of linear equations.
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z^0=1,z≠0 Indicate whether each expression is sometimes, always, or never true.
Step-by-step explanation:
\(z^0=1,\ z\neq0\qquad\huge\boxed{\bold{ALWAYS}}\)
A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options. {n | n < 3} {n | n ≥ 3} A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5. A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5. (3, [infinity])
Answer:
An open circle appears at positive 3
(3,∞)
Step-by-step explanation:
Given:
The solution set: n > 3
This means n is greater than 3
The option:
A number line going from negative 5 to positive 5.
is not correct because n is greater than positive 3 whereas the number line here includes negative value i.e. from negative 5.
The option:
The number line is shaded from positive 3 to positive 5
is not correct because the number line is shaded from positive 3 and positive 5 which shows inequalities. This means that both positive 3 and positive 5 are included but n>3 represents greater than 3 and this means that set does not contain an equal to 3. So this statement is not correct.
The option:
The number line is shaded from positive 3 to negative 5
is also not correct because number line is shaded from positive 3 to negative 5 but n>3 means that the set does not contain less than 3. So 3 to -5 includes numbers like 2, 1, 0, -1 and so on to negative 5 (-5) so this is also not correct.
The option:
An open circle appears at positive 3
is true because open circle is used for less than or greater than terms. Since the solution set is greater than 3 (n>3) so the open circle at positive 3 represents greater than 3. So the set contains greater than 3. Hence this statement is true.
The option:
(3,∞)
is correct because the solution set is greater than 3 so the arrow should be pointing to the right. So it is greater than and the ending limit is not mentioned so it goes up till infinity. The round brackets shows that the number 3 and ∞ are excluded so this correctly represents the solution n>3. Hence this statement is also true.
Answer:
C & E are the answers just took the test
Step-by-step explanation:
which group contaied music that dealt with church and relgion
Answer:
Step-by-step explanation:
Liturgical music
Liturgical music, also called church music, music written for performance in a religious rite of worship
Some public goods and services are provided by the federal government. Other goods and services are provided by local city or county governments. Match each public good or service below to the level of government that most commonly provides it.
Below is the exact match for public good or service of Local Government and Federal Government.
Define goods and services?Goods and services are two distinct types of economic products that are exchanged in the marketplace.
Goods are tangible, physical products that can be seen, touched, and stored. They are typically manufactured or produced and can be traded in the marketplace.
Services are usually produced and consumed simultaneously and involve an activity performed by one person or group for the benefit of another. Examples of services include healthcare, education, transportation, banking, consulting, and entertainment.
Local Government Federal Government
Sewage system Financial aid for college
Traffic light Internal Revenue Service (IRS)
Hospitals Hospitals
Currency
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Thirty-five members of the sports club are going on a trip to an outdoor pursuits centre. They go in buses that can seat up to 15 people each. It costs $105 for each minibus, $6 per person for the hire of boots and safety hats. Use of the centre is $175 for the group for the day.
If the total trip cost had to be divided equally, what would the price be per person?
The price per person will be $20
Number of members = 35
One minibus can accommodate 15 people, thus the number of bus required is 35/15 = 2.33 = 3
The cost for 3 minibuses is 3 × $105 = $315
It costs $6 per person for the hire of boots & safety hats, hence the total cost for hiring of boots & safety hats for 35 members is 35 × $6 = $210
The cost to use the center is $175.
The total cost for the trip is the sum of all these individual expenses, which is $315 + $210 + $175 = $700.
The total trip cost has to be divided equally among all the members, thus the price per person will be $700/35 = $20.
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If you were to roll the dice one time, what is the probability of it landing on an even number?
Answer:
There is a 95% chance it would land on an even number but on the first try it's known to be odd
Step-by-step explanation:
Select all sets in which the number - 14 is an element
A whole numbers
B. irrational numbers
C. real numbers
D. natural numbers
E integers
E rational numbers
Answer:
The answer is: Integers, Rational numbers, and Real numbers.
Step-by-step explanation:
Following are the description of the numbers:
The whole number is the collection of the natural numbers which includes 0 also.Irrational numbers are those which can't be stated as the ratio of two whole numbers. Real numbers are numbers that can be stated in an infinite decimal expansion. It contains both rational and irrational numbers.Natural numbers are those which includes only positive value except 0.Integer, whole-valued positively or negatively integer, or 0.Rational numbers are numbers that may be expressed as the quotient \(\frac{p }{q}\)of two integers so that \(q\neq 0\).That's why, the choice is "C, E, and F" which are Real numbers, Integers, and Rational numbers are correct.
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Numbers: brainly.com/question/3589540
You may need to use the appropriate appendix table or technology to answer this question.
A population has a mean of 800 and a standard deviation of 200. Suppose a sample of size 400 is selected and
x
is used to estimate μ. (Round your answers to four decimal places.)
(a)____
What is the probability that the sample mean will be within ±5 of the population mean?
(b)___
What is the probability that the sample mean will be within ±10 of the population mean?
a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.
The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
= 200 / √400
= 200 / 20
= 10
To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:
For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.
For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.
We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.
(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).
The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).
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