we have the function
\(E=\sin \frac{\pi}{14}t\)Part a
For t=7
substitute in the given function
\(\begin{gathered} E=\sin \frac{\pi}{14}7 \\ E=1 \end{gathered}\)For t=14
\(\begin{gathered} E=\sin \frac{\pi}{14}14 \\ E=0 \end{gathered}\)For t=21
\(\begin{gathered} E=\sin \frac{\pi}{14}21 \\ E=-1 \end{gathered}\)For t=28
\(\begin{gathered} E=\sin \frac{\pi}{14}28 \\ E=0 \end{gathered}\)For t=35
\(\begin{gathered} E=\sin \frac{\pi}{14}35 \\ E=1 \end{gathered}\)Observation: The values of E varies from -1 to 1, including the zero
Part B
Remember that
The Period goes from one peak to the next
so
Period=2pi/B
B=pi/14
Period=(2pi)/(pi/14)=2pi*14/pi=28
the period is 28 daysPRE ALGEBRA aAHAHAha HelpppppppppppPPppp111
Step-by-step explanation:
This it two image answer,Chapter 3 i don't know
You use technology to carry out a significance testand get a P-value of 0.031. The correct conclusion is
Answer:
The significance test result using technology gave a P-value of 0.031. Based on the conventional level of significance of 0.05, this suggests that we reject the null hypothesis and conclude that there is strong evidence to support the alternative hypothesis. In other words, the result is statistically significant, indicating that there is a significant relationship or difference between the variables being tested. Therefore, we can confidently say that the result is not due to chance and provides reliable evidence to support the alternative hypothesis.
Kristen is trying to finish 1/2 of her test every 2/3 hour. How many hours will it take Kristen to complete her whole test?
Answer:
4/3
Step-by-step explanation:
lori jeffrey is a successful sales representative for a major publisher of college textbooks. historically, lori obtains a book adoption on of her sales calls. viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of . use the z-table. a. how large was the sample used in this analysis? that is, how many sales calls did lori make during the month?
The sample size used in the analysis was 300 sales calls for the given standard error.
What is standard error?The standard error (SE) is a statistical sample population's approximate standard deviation. The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error. The standard error tends to be reduced the more data points included in the mean computations.
Given that, Lori obtains a book adoption on 20%, and the proportion of 0.400.
The Standard error is given as:
SE = √[p(1-p)/n]
Rearranging for n we have:
n = p(1-p)/(SE²)
n = 0.20(1-0.20)/(0.0400)²
n = 300.25
Hence, the sample size used in the analysis was 300 sales calls.
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The complete question is:
Someone pls answer this with explanation
Answer:
EXPlaIN THIS TO ME cuz i have no idea
Step-by-step explanation:
Answer:
f(-1)=6
Step-by-step explanation:
Translate the graph to y=mx+b form
\(y=-2x+3\)
insert -1 for x and solve
y=-2(-1)+3
y=2+3
y=6
f(-1)=6
Does 0.63 terminate?
Answer:
No (unless it happens to have a vinculum on top of any digit image attached is an example of a vinculum)
Step-by-step explanation:
0.63 just stops at 0.63
Vladimir rowed his boat 3 miles in 45 minutes. How far will he be able to row his boat in 1 hour 30 minutes?
Answer:
6 miles
Step-by-step explanation:
45 mins + 45 mins = 1 hour 30 mins
3 miles + 3 miles = 6 miles
I hope this helps!
An elevator travles 310 feet in 10 seconds. at that speed, how far can this elevaor travles in 12 seconds? explain your reasoning.
Explanation:
We can do cross multiplying through ratios:
310 feet / 10 secs = x feet / 12 secs
10x = 310 * 12
10x = 3720
x = 372 feet
OR
Divide 310 feet and 10 secs to get 31 feet in 1 sec
Multiply 31 ft and 1 sec to get 372 ft in 12 secs
help me plz!!!!!!!!!!!!!
Answer:
108
Step-by-step explanation:
48/4 = 12 pens per box
12 x 9 = 108 pens in 9 boxes
The graph below shows the solution to which system of inequalities?
Answer:
C
Step-by-step explanation:
The horizontal line, y=2, is solid and shaded above, so it represents
\(y \geqslant 2\)
The slanted line, y=x is dashed and shaded below, so it represents y<x.
Answer
Answer is A
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Answer:
x = 10.8
Step-by-step explanation:
Cos∅ = adj/hyp
Cos26 = x/12
Multiply both sides by 12
12 * cos26 = x
Use calculator
10.785528555590004 = x
Round
x = 10.8
Someone please help me lol i don't even know what i'm doing
Answer:
ooo UT I did one of their courses before Now to your answer: A is Y= 7x + 2 thats the only one i know sorry
Step-by-step explanation:
i need help beacuse im not smart
Answer:
4/10
Step-by-step explanation:
Since the denominators are the same, add the numerators (3 + 1)
and you are smart
24.7% of the products in the local shop are specialty soaps. 76% of those soaps are made with fresh herbs. if there are 350 bars of specialty soap in the shop, approximately how many of them are not made with fresh herbs? round your answer up to nearest whole number
we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs? well, just 76% of those 350
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)
please help!!!! will give brainliest
Answer:
x = squareRoot(15^2 + 14^2)(Pythagoras theorem)
x = 20.5 cm
Step-by-step explanation:
a 99onfidence interval for a slope in a regression model is wider than the corresponding 95onfidence interval.
A higher confidence level provides greater certainty while a lower confidence level provides less certainty
How to find a 99onfidence interval for a slope in a regression model is wider than the corresponding 95onfidence interval?If a 99% confidence interval for a slope in a regression model is wider than the corresponding 95% confidence interval.
It means that we are more confident in the estimate of the slope with the 99% interval, but this confidence comes at the cost of a wider range of plausible values.
In other words, with the 99% confidence interval, we are more certain that the true value of the slope lies within the interval, but the interval is wider and hence provides less precision than the 95% interval.
This is because to be more certain that the interval contains the true slope, we need to include a wider range of plausible values.
It is important to note that the choice of the confidence level depends on the trade-off between the level of certainty and the level of precision desired for the estimate.
A higher confidence level provides greater certainty but at the cost of wider intervals and less precision, while a lower confidence level provides less certainty but narrower intervals and greater precision.
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Christina made $8,800 in interest by placing $80,000 in a savings account with simpleinterest for 1 year. What was the interest rate?Use the formula i = prt, where i is the interest earned, p is the principal (starting amount),is the interest rate expressed as a decimal, and t is the time in years?
Christina's savings account had an interest rate of 11% per year, which resulted in $8,800 in interest earned over 1 year. To calculate the interest rate, we can use the formula for simple interest, i = prt, where i is the interest earned, p is the principal amount, r is the interest rate expressed as a decimal, and t is the time in years.
In this case, Christina earned $8,800 in interest by placing $80,000 in a savings account for 1 year. By rearranging the formula, we can solve for r: r = i / (pt). Plugging in the values, we find that the interest rate is 11%. The formula for simple interest is i = prt, where i represents the interest earned, p is the principal amount, r is the interest rate, and t is the time in years. We are given that Christina earned $8,800 in interest, the principal amount was $80,000, and the time period was 1 year. We can rearrange the formula to solve for the interest rate, r. Dividing both sides of the formula by pt, we get r = i / (pt). Plugging in the values, we have r = 8,800 / (80,000 * 1). Simplifying this expression, we find that the interest rate, r, is equal to 11%. Therefore, Christina's savings account had an interest rate of 11% per year, which resulted in $8,800 in interest earned over 1 year.
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a null hypothesis is a statement about the value of a population parameter. a. true b. false
The statement "a null hypothesis is a statement about the value of a population parameter" is true. Hence, the correct option is a. true.
A null hypothesis is a statement about the value of a population parameter. This statement says that there is no relationship between the two variables. For instance, in the context of a scientific experiment, the null hypothesis would state that there is no statistically significant difference between the control group and the experimental group.Null hypothesis is an assumption made about a population parameter in statistical hypothesis testing, which is a way of testing claims or ideas about populations against sample data.
A null hypothesis is often used in a hypothesis test to help determine the statistical significance of results.To test a hypothesis, a researcher or analyst will compare the results of an experiment or survey to the null hypothesis to see if the findings are statistically significant. If the results are statistically significant, it means that the null hypothesis can be rejected, and the alternative hypothesis can be supported in its place. Therefore, the statement "a null hypothesis is a statement about the value of a population parameter" is true.Hence, the correct option is a. true.
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Which solid has two faces, zero lateral faces, two bases, zero vertices, and zero edges?
cube
cone
sphere
cylinder
Answer:
cylinder
isn't this eighth grade geometry? i thought u were in high school
A simple random sample of 500 elements generates a sample proportion p= 0.81. Provide the 90% confidence interval for the population proportion (to 4 decimals). b.Provide 95% the confidence interval for the population proportion (to 4 decimals).
a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
To calculate the confidence intervals for the population proportion, we can use the formula:
Confidence Interval = sample proportion ± margin of error
The margin of error can be calculated using the formula:
Margin of Error = critical value * standard error
where the critical value is determined based on the desired confidence level and the standard error is calculated as:
Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)
Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.
a. 90% Confidence Interval:
To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.
Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0323
Confidence Interval = 0.81 ± 0.0323
≈ (0.7777, 0.8423)
Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b. 95% Confidence Interval:
For a 95% confidence level, the critical value is approximately 1.96.
Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0363
Confidence Interval = 0.81 ± 0.0363
≈ (0.7737, 0.8463)
Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
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Simplify, the fraction 25/35
Answer:
5/7
Step-by-step explanation:
Hi, so the question is simplify 25/35. each fraction can be divided by five.
So each will be divided by five. So, first the numerator which is the top of the fraction. 25/5=5 so the new simplified top is 5.
The denominator, the bottom fraction, 35/5= 7, so the new simplified denominator is 7.
Refix the fraction and you have that 25/35 = 5/7
Answer:
5/7
Step-by-step explanation:
Say you got a 25 out of 35 questions right on a test you got 5/7 of them correct and get a 71.43% right.
Or think of it like 7 can go into 35 a total of 5 times and 5 can also go into 25 5 times.
Hope this helps have a great day:)
what are angles x and y
Answer:
y 79 x 79
Step-by-step explanation:
79 and y are equal because they are interior angles.
therefore y would be 79.
x and 79 are same side exterior angles. so x is 79 also
Please help me solve for X
I'll give brainlyest
Answer:
1. x = 8
2. x = 12
3. x = 11
4. x = 6
Step-by-step explanation:
1.
102 + 102 = 204
360 - 204 = 156
156 / 2 = 78
78 = 10x - 2
78 + 2 = 10x
80 = 10x
80 / 10 = x
x = 8
2.
81 = 7x - 3
81 + 3 = 7x
84 = 7x
84 / 7 = x
x = 12
3.
77 = 6x + 11
77 - 11 = 6x
66 = 6x
66 / 6 = x
x = 11
4.
115 + 115 = 230
360 - 230 = 130
130 / 2 = 65
65 = 8x + 17
65 - 17 = 8x
48 = 8x
48 / 8 = x
x = 6
40 PTSS GUYS PLEASE DO THIS PROBLEM ILL GIVE BRAINLIST TOO!
Answer:
where are the problem?
Step-by-step explanation:
sorry no problem
a mailbox has the dimensions shown. What is the volume of the mailbox?
The parity check bits of a (8,4) block code are generated by: C5 d₁ + d₂ +d4 = C6 = d₁ + d₂ +d3 C7d₁ +d3 +d4 Cg d₂ + d3 +d4 = Where d₁, d₂, d3.d4 are the message bits. a) Find the generator matrix and parity check matrix for the code.
The generator matrix and parity check matrix for a (8,4) block code can be determined based on the given parity check equations.
The generator matrix generates the codewords from the message bits, while the parity check matrix allows for error detection by verifying the parity equations.
For a (n, k) block code, the generator matrix has dimensions k x n and the parity check matrix has dimensions (n-k) x n. In this case, n = 8 and k = 4.
To find the generator matrix, we need to construct a matrix G such that the rows of G form a basis for the code's codewords. Since the parity check equations are given, we can write them in matrix form as follows:
[0 1 0 1 1 0 0 0] [d₁] [0]
[1 1 0 0 0 1 0 0] [d₂] = [0]
[1 0 0 1 0 0 1 0] [d₃] [0]
[0 0 1 1 0 0 0 1] [d₄] [0]
The left-hand side of the equations corresponds to the coefficients of the codewords, while the right-hand side is a column vector of zeros since these are parity check equations. Rearranging the equations, we obtain the matrix G:
G = [1 0 0 0 1 1 0 0]
[0 1 0 0 0 1 1 0]
[0 0 1 0 1 0 0 1]
[0 0 0 1 0 0 1 1]
For the parity check matrix, we need to find a matrix H such that GH^T = 0, where ^T denotes matrix transposition. This implies that H is the nullspace of G. By performing Gaussian elimination on G, we obtain the following row-echelon form:
H = [1 0 0 0 1 1 0 0]
[0 1 0 0 0 1 1 0]
[0 0 1 0 1 0 0 1]
Thus, the generator matrix for the code is G, and the parity check matrix is H. These matrices can be used for encoding and error detection in the (8,4) block code.
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how many nonzero terms of the maclaurin series for ln(1 x) do you need to use to estimate ln(1.4) to within 0.01?
We need to use at least 5 terms of the Maclaurin series to estimate ln(1.4) to within 0.01.
The Maclaurin series for ln(1+x) is given by:
ln(1+x) = x - (x²)/2 + (x³)/3 - (x⁴)/4 + ...
To estimate ln(1.4) to within 0.01, we need to determine how many terms of the series are required to achieve this level of accuracy. We can use the formula for the error term in the Maclaurin series:
|Rn(x)| ≤ \(M |x|^{(n+1)}/(n+1)\)
where Rn(x) is the remainder term, M is the maximum value of the n-th derivative of ln(1+x) on the interval [0,1.4], and n is the number of terms used in the approximation.
We can estimate M by taking the maximum value of the fourth derivative of ln(1+x) on the interval [0,1.4]:
|f⁴(x)| = 24/(1+x)⁴
So, we have:
M = 24/(1+1.4)⁴ = 1.22
Using the inequality above, we can solve for n:
\(1.22 |1.4|^{(n+1)}/(n+1)\) ≤ 0.01
Simplifying and solving numerically, we get:
n ≥ 4.25
Therefore, we need to use at least 5 terms of the Maclaurin series to estimate ln(1.4) to within 0.01.
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A study is designed to test the effects of location (island vs. mainland) and squirrels (present or absent) on the cone sizes of lodgepole pines. Which of the following interaction plots is consistent with this combination of main effects and interactions? A main effect of location is present. A main effect of squirrels is present. An interaction between squirrels and location is present.
The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.
An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).
Based on the given information, we have the following main effects and interactions:
1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.
2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.
3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.
Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.
Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.
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50 POINTS! Figure P was rotated about the origin (0,0) by 90 degrees counterclockwise.
Which figure is the image of P?
Answer:
A
Step-by-step explanation:
Strategy1. Rotate each vertex of Figure P 90 degrees counterclockwise
2. Write down the coordinates of Figure P after it was rotated
3. Look at each image to see which new figure has the coordinates from #2
Key Terms⭐What is the notation for rotating 90 degrees counterclockwise?
\(R_(90,O) (x,y) - > (-y,x)\)this means that when you rotate 90 degrees clockwise about the origin, the x and y coordinates flip, and the y-coordinate becomes the opposite signWorking1. Apply the rotation rule for each vertex of Figure P
(-6,-2) -> (2, -6)
(-2,-2) -> (2,-2)
(-3,-7) -> (7,-3)
2. Look at each graph and see which rotated image has the same coordinates in bold from #1
Graph A is the only graph that has a rotated image with the same coordinates in bold from #1.
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What’s the answer to this?!!!
Answer:
here it is
Step-by-step explanation:
if u have any question tell me