Answer:
−4−10+16
Step-by-step explanation:
−4-10+6+10
-4x-10y+16
which one of the following sampling methods is more likely to be appropriate for calculating confidence intervals?
The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.
This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.
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find the z value for 0.99 if e O¨zlem likes jogging 3 days of a week. She prefers to jog 3 miles. For her 95 times, the mean wasx¼ 24 minutes and the standard deviation was S¼2.30 minutes. Let μ be the mean jogging time for the entire distribution of O¨zlem’s 3 miles running times over the past several years. How can we find a 0.99 confidence interval for μ?.
likes jogging 3 days of a week. She prefers to jog 3 miles. For her 95 times, the mean wasx¼ 24 minutes and the standard deviation was S¼2.30 minutes. Let μ be the mean jogging time for the entire distribution of O¨zlem’s 3 miles running times over the past several years. How can we find a 0.99 confidence interval for μ
a) What is the table value of Z for 0.99? (Z0.99)? (b) What can we use for σ ? (sample size is large) (c) What is the value of? Zcσffiffin p (d) Determine the confidence interval level for μ.
a. The table value of z 0.99 is given as 2.58.
b. we use σ = 2.30 minutes.
c. The value of Z is given as 0.609.
d. The confidence interval is (23.391, 24.609) minutes.
How to solve for the z critical valuea) To find the z-score for a 0.99 confidence interval, we need to find the z-score that leaves 0.5% (since it's two-tailed, we split the 1% or 0.01 of the data that's not within the confidence interval into two) in each tail. The z-score for 0.995 (0.5% in the upper tail) is approximately 2.58 in standard normal distribution tables. So, Z_0.99 is 2.58.
b) Therefore, we use σ = 2.30 minutes.
c) The standard error of the mean (SE) is given by σ/√n, where n is the sample size.
Here, σ = 2.30 minutes and n = 95.
Therefore, SE = σ/√n
= 2.30/√95
= 0.236 minutes.
Multiply this by the z-score to find Z * σ/√n.
Therefore, Z * σ/√n = 2.58 * 0.236 ≈ 0.609.
d) The 0.99 confidence interval for μ
Here, x is the sample mean which is 24 minutes.
So the confidence interval is approximately
= (24 - 0.609, 24 + 0.609)
= (23.391, 24.609) minutes.
This is the range of values we are 99% confident that the true population mean (μ) falls in.
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Mr. Singer's choir is going to New York City for a choir competition. He wants them to look their best, so he buys new music folders for all of the members. Each music folder costs $7.99. If Mr. Singer buys 23 music folders, how much does he spend? (Please enter your answer without units.)
Answer:
the answer is 183.77
Step-by-step explanation:
if you know the price was 7.99 for each one he bought you work multiply 23 by 7.99 and you get 183.77.
The table shows the relative frequency of two coins landing on both heads or both tails for 1000 experiments. what is the difference between the relative frequency of landing on heads and tails and the relative frequency of landing on both heads or both tails?
The table: Number of Experiments: 1,000
Relative Frequency of (Heads, Heads): 254
Relative Frequency of (Tails, Tails): 244
The relative frequency of landing on both heads or both tails is = 0.498.
What is law of large numbers?A fundamental principle of probability theory known as the Law of Big Numbers asserts that as the number of independent trials in an experiment rises, the average of the results obtained gets closer to the experiment's predicted value. In other words, the relative frequency of an event approaches its real probability as the sample size grows. This law offers a theoretical framework for drawing conclusions about statistics from empirical evidence. One of the cornerstones of probability theory, the Law of Big Numbers has numerous crucial applications.
From the given table we determine that,
The relative frequency of landing on heads is 254 / 1000 = 0.254.
The relative frequency of landing on tails is 244 / 1000 = 0.244.
Thus, relative frequency of landing on both heads or both tails is (254 + 244) / 1000 = 498 / 1000 = 0.498.
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Desperately need help
\(\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}\)
Check the picture below.
A computer is used to generate passwords made up of numbers 0 through 9 and uppercase letters. The computer generates 500 passwords one character at a time.
A uniform probability model is used to predict the first character in the password.
What is the prediction for the number of passwords in which the first character is a number?
Round your answer to the nearest whole number.
69 passwords
139 passwords
192 passwords
292 passwords
The prediction for the number of passwords in which the first character is a number is given as follows:
139 passwords.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The passwords have the first character chosen as follows:
Letter: 26 outcomes.Number: 10 outcomes.Hence the probability of a number is given as follows:
p = 10/(10 + 26)
p = 10/36
p = 5/18.
Out of 500 passwords, the expected number is then given as follows:
E(X) = 500 x 5/18
E(X) = 139 passwords.
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Revisiting the questions from earlier.
distance (miles)
1. Which graph goes with each rider? if Kiran rides 4 miles in 16 minutes, then the point (4, 16) is on his graph. If he rides for 1 mile, it will take 4 minutes. 10 miles will take 40 minutes. So the upper graph represents Kiran's ride. Mai's points for the same distances are (1,3), (4, 12), and (10.30), so hers is the lower graph. (A letter next to each line would help us remember which is which!)
2. Who rides faster? Mai rides faster because she can ride the same distance as Kiran in
a shorter time. 3. If Kiran and Mai start a bike trip at the same time, how far are they after 20 minutes?
The points on the graphs at height 20 are 5 miles for Kiran and a little less than 7
miles for Mai
4. How long will it take each of them to reach the end of the 12 mile bike path? The points on the graphs at a horizontal distance of 12 are 36 minutes for Mai and 48 minutes for Kiran. (Kiran's time after 12 miles is almost off the grid!)
Glossary
constant of proportionality
Help!!!! I will be grateful for your help
Given the proportional graphs represnting the ride of Kiran and Mai, thus:
The upper graph goes with Kiran, the lower graph goes with Mai.Mai rides faster.After 20 minutes, Kiran would be 5 miles far while Mai will be almost 7 miles far.To reach the end of 12 mile bike path, it will take Kiran 48 minutes while it will take Mai 36 minutesRecall:
A proportional graph has a line that passes through the origin (0, 0), and also has a constant of proportionality, k.
Constant of proportionality, k = y/x.
1. Given that Kiran rides for 4 miles in 16 minutes, therefore the upper graph that passes through point (4, 16) goes with Kiran.
Given that Mai's points include (1, 3), (4, 12), and (10, 30), these points are on the lower graph, therefore, the lower graph goes with Mai.
2. The graph with the smallest constant of proportionality value represents the graph that goes with the fastest rider. The constant of proportionality in this case represents how many minutes spent on covering 1 mile. The shorter the minutes, the faster.
Constant of proportionality for Kiran's ride using a point (4, 16):k = y/x = 16/4 = 4 mins per mile
Constant of proportionality for Mai's ride using a point (1, 3):k = y/x = 3/1 = 3 mins per mile
Therefore, the fastest rider is Mai.3. At 20 minutes, using the graph given, Kiran will be at 5 miles far.
At 20 minutes, Mai will be at almost 7 miles.
4. At the end of 12 mile path, the graph shows that Kiran will have used 48 minutes (12, 48), while Mai would have used 36 minutes (12, 36).
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Q1. A heavy general purpose truck costs $12,000 has a life of six years with a $2,000 SV. using the
MACRS with a GDS recovery period of five years. What is the BV of the equipment at the end of
(including) year four?
IN EXCEL WITH EXPLANATION PLEASE
Answer:
Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.
Step-by-step explanation:
To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:
1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.
2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).
3. Enter the cost of the truck, $12,000, in cell B2.
4. Use the following formula in cell C2 to calculate the depreciation rate for each year:
=MACRS.VDB(B2, 5, 5, 1, C1)
This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).
5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.
6. Use the following formula in cell D2 to calculate the annual depreciation for each year:
=B2*C2
This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.
7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.
8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:
=SUM(D$2:D2)
This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.
9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.
10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:
=B2-E2
This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.
11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.
12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.
Complete the sentence.
The amount of time it takes to give a dog a bath is most likely to be a function of the _____
A. type of food the dog eats
B. size of the dog
C. color of the dog
D. size of the house where the dog lives
Answer:
size of the dog
Step-by-step explanation:
Hope this helps
Option B is the correct answer.
Given that, the amount of time it takes to give a dog a bath is most likely to be a function of the _____.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The amount of time it takes to give a dog a bath is directly proportional to the size of the dog.
Therefore, option B is the correct answer.
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Which are shown on the diagram? Check all that apply.
Answer:
i think b,c,d and f
Step-by-step explanation:
find the slope of a line that passes through the points (-2,-6) and (3,-10)
The correct answer is -4/5 using the slope formula.
7 to the power of 2 times 7 to the power of negative 4
2x+y-z=8
x+z=-5
2y-3z=21
Answer:
z=-5; x=0 ; y=3
Step-by-step explanation:
2x= -2z -10; -2z-10+y-z=8; y-3z-10=8; y-3z=18
2y-3z=21; 2y=3z+21; y= 1.5z+10.5; y-3z=18
1.5z+10.5-3z=18; -1.5z+10.5=18; -1.5z=7.5; z=-5
x+z=-5; x-5=-5; x=0; 2y-3z=21; 2y+15=21; 2y=6; y=3
2x+y-z=8; 2(0)+3-(-5)=8; 3+5=8; 8=8
Erica goes swimming three out of the seven days of the week. How many possibilities are there for her swim schedule if she goes swimming on Monday or Tuesday or both
There are 7 possibilities for Erica's swim schedule if she goes swimming three out of the seven days of the week, considering that she can swim on Monday or Tuesday, or both.
To determine the number of possibilities for Erica's swim schedule, we need to consider the days she can choose for swimming. In this case, she can swim on Monday, Tuesday, or both.
If she swims on Monday, she has two options for the remaining two days: she can swim on any of the remaining six days or choose not to swim on those days. Similarly, if she swims on Tuesday, she has the same two options for the remaining two days.
If she swims on both Monday and Tuesday, she has only one option left for the remaining day.
Therefore, the total number of possibilities for Erica's swim schedule is calculated by adding the possibilities for each scenario: 2 + 2 + 1 = 5 possibilities.
In conclusion, there are 7 possibilities for Erica's swim schedule if she goes swimming three out of the seven days of the week, considering that she can swim on Monday or Tuesday, or both.
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You find 13,406,190 pennies which is $134,061.90 and weighs 118,222.45 lbs. Now assume a movie ticket costs $9.00, how many movie tickets could you buy with the pennies?
Answer:
Ma yasakō lāgi māphī cāhanchu.
Match this system of linear equations to the correct description of its solution set.
y= 2x + 7
y= 2x - 7
A) one solution
B) no solutions
C) an infinite amount of solutions
ANSWER PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!
Answer
put 1 on top and exo on bottom
Step-by-step explanation:
Which of the following is the correct expression, in scientific notation, of the number 37,500 ? \( 3.75 \times 10^{3} \) \( 3.75 \times 10^{-3} \) 37,500 \( 3.75 \times 10^{4} \)
Answer: 3750
Step-by-step explanation:
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x 10
Answer:
x -7 < -4
Step-by-step explanation:
What is the slope of line that passes through points (-6,-7)and(-24,7)write your answer in simplest form
Answer:
-7/9
Step-by-step explanation:
the slope of a line between two points is 'rise over run', or the vertical distance between the points divided by the horizontal distance between them.
Finding the change in either direction is done by simply subracting our starting value from our ending value. It does not matter which point you start at, but lets choose (-6,-7) as our starting point, and (-24,7) as our end point.
The 'rise' of this line is 7 - (-7), which equals 14
The 'run' would then be -24 - (-6), which equals -18
Thus the slope is 14/(-18). Reducing this fraction gives us an answer of -7/9.
Use the graph to complete the statement.
The triangle at the top of the graph is a reflection of the
triangle at the bottom.
Over what line is the triangle reflected?
The triangle is reflected over line _________
Answer:
C
Step-by-step explanation:
I know my reflections =D
Mark as brainliest ;D
Answer:
c
Step-by-step explanation:
The graph and table shows the relationship between y, the number of words Jean has typed for her essay and x, the number of minutes she has been typing on the computer. A 2-column table with 9 rows. The first column is labeled x with entries 5, 10, 15, 20, 25, 30, 35, 40, 45. The second column is labeled y with entries 271, 464, 820, 965, 1124, 1501, 1718, 2076, 2257. A graph shows the horizontal axis numbered 20 to 80 and the vertical axis numbered 1000 to 3000. A line increases from 0 to 80. According to the line of best fit, about how many words will Jean have typed when she completes 60 minutes of typing? 2,500 2,750 3,000 3,250.
Answer:
3,000 words
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
just did the test
Numbers of the jerseys of 5 randamty selected Carolina Panthers Quantitative discrete Quantitative continuous. Gualitative
The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.
Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.
Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.
Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".
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When reading published statistics (numerical facts), you shouldChoose.(a)never believe what you read, because all statistics are lies.(b)only believe those statistics that are adequately supported.(c)believe what you read, because they wouldn’t be published if they weren’t correct.(d) only believe those statistics that are presented in so-called quality publications.
The correct answer is (b) only believe those statistics that are adequately supported.The best approach is to use critical thinking and assess the support for each statistic before accepting it as true.
What is correct option while reading the published statistics?When reading published statistics, it's important to be critical and evaluate their reliability. Not all statistics are created equal, and some may be biased, misleading, or based on flawed data.
One way to do this is to look for adequate support for the statistics. This means checking the source of the statistics, the methodology used to collect and analyze the data, the sample size and demographics, and any potential biases or limitations. If the statistics are adequately supported, then they are more likely to be accurate and trustworthy.
In contrast, it's not wise to automatically believe or reject all statistics without careful evaluation. Similarly, just because statistics are published doesn't mean they are correct or reliable.
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use the quotient rule to find the derrivatives of 3/x^2
With full process
Answer:
\(\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}\)
Step-by-step explanation:
We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².
Power Rule: \(\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1\)Rewrite \(\displaystyle \frac{3}{x^2}\) as \(\displaystyle 3\cdot \frac{1}{x^2}\) which is equivalent to \(3\cdot x^-^2\).
Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.
3(-2)x⁻³ = -6x⁻³This can be rewritten as \(\displaystyle -\frac{6}{x^3}\).
Quotient Rule: \(\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}\)Substituting 3 for f(x) and x² for g(x), we get:
\(\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}\)Simplify.
\(\displaystyle \frac{-6x}{x^4}\)Using exponent rules, we can rewrite this as:
\(-6x^1^-^4 = -6x^-^3\)This can be rewritten as \(\displaystyle -\frac{6}{x^3}\), which is the same as what we got using the product rule.
Answer:
\(\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}\).
Step-by-step explanation:
Let \(f(x)\) and \(g(x)\) denote two functions of \(x\). Assume that \(g(x) \ne 0\). The quotient rule states that:
\(\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}\).
In this question:
The numerator of the fraction is \(f(x) = 3\) (a constant function.)The denominator of the fraction is \(g(x) = x^{2}\).Find \({f}^{\prime}(x)\) and \({g}^{\prime}(x)\).
Notice that the value of \(f(x)\) is constantly \(3\) regardless of the value of \(x\). By the constant rule, \({f}^{\prime}(x) = 0\).
For \({g}^{\prime}(x)\), consider the power rule:
if \(m\) represents a rational number (such as \(2\),) then by the power rule, \(\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}\).
Apply this rule to find \({g}^{\prime}(x)\).
\(\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}\).
Substitute \(f(x) = 3\), \({f}^{\prime}(x) = 0\), \(g(x) = x^{2}\), and \({g}^{\prime}(x) = 2\, x\) into the quotient rule expression to find \(\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right]\):
\(\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}\).
Therefore, \(\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}\).
Find the value for “x”; 2 – 7x = -19
Step-by-step explanation:
2+19=7x
21=7x
21÷7=7x÷7
3=x
..
The weights of books in a bookcase are normally distributed with a mean of 13. 5 pounds and a standard deviation of 2. 3 pounds. There are 145 books on the bookshelf how many of the books will weigh 11 pounds or more
89.09% of books will weigh 11 pounds or more, then the number of books will be 129.
What is a z- score?The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
Then the z-score when the books will weigh 11 pounds or more will be
\(z= \frac{11-13.5}{2.3} \\\\z= -1.0869\)
Then the probability will be
\(P(x > 11) = 1-P(x < 11 ) = 0.8909\)
89.09% of books will weigh 11 pounds or more, then the number of the books will be
=145 × 0.8909
=129.1805 ≈ 129
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A whale descends from the surface of the water at a rate of 22 feet per minute.
What is the position of the whale relative to the surface after diving for 3
minutes?
Answer:
66
Step-by-step explanation:
22 per minute
? Per 3 minutes
22 x 3 = 66
Answer: The position of the whale relative to the surface of the water can be determined by multiplying the rate at which it descends (22 feet per minute) by the amount of time it has been descending (3 minutes).
Position = Rate x Time
Position = 22 feet/minute x 3 minutes = 66 feet
So, after diving for 3 minutes, the position of the whale relative to the surface of the water is 66 feet.
It means the whale descended for 66 feet from the surface level of the water.
Please keep in mind that this information is assuming a linear motion, without taking into account any other factors that could affect the whale's descent such as currents or obstacles in the water.
Step-by-step explanation:
n+4-9-5n what is the answer
Answer:
−4n - 5
Step-by-step explanation:
Answer:
-4n-5
Step-by-step explanation:
n+4-9-5n
n-5n-5
-4n-5
What is the common difference in the following arithmetic sequence?
12, 6, 0, -6, ...
-6
1/2
6
-2
Answer: -6
Step-by-step explanation:
The common difference is the difference (subtraction) between any two consecutive terms.
6 - 12 = -6
0 - 6 = -6
-6 - 0 = -6
The common difference of this arithmetic sequence is -6.