When we express 386% as a fraction, the result of the mathematical operation is 386/100.
What is a fraction?A fraction is a part or portion of a whole value. It is obtained by dividing the numerator by the denominator.
There proper, improper, and complex fractions.
Fractions are proportional values.
Fractional values can be expressed over 100 to show the values in percentage terms. They can also be expressed as decimals.
386% = 386 ÷ 100 = 3.86
Thus, 386% expressed as a fraction is the same value as 386/100 or 3.86.
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Consider the equation:
0 = x2 + 4.0 + 1
1) Rewrite the equation by completing the square.
Your equation should look like (2 + c)2 = d or (2 – c)? = d
Answer:
the equation is not correct....
well, it should look sth. like (x+or- number)^2=number
Alessandra is conducting a hypothesis test and states that there will be a change for the general population and that the independent variable will have an effect on the dependent variable. This is an example of a. Independent-measures t-test b.Null hypothesis c. Alternative hypothesis d. Repeated-measures t-test
Alessandra's statement corresponds to the alternative hypothesis (c) in a hypothesis test, suggesting a change or effect of the independent variable on the dependent variable.
The statement made by Alessandra regarding a hypothesis test suggests the use of an alternative hypothesis (c). In hypothesis testing, the alternative hypothesis represents the claim or belief that there will be a change or effect on the dependent variable due to the independent variable. It opposes the null hypothesis, which assumes no change or effect. In this case, Alessandra is proposing that there will be a difference or relationship between the independent and dependent variables.
To further elaborate, a hypothesis test is a statistical method used to make inferences about a population based on sample data. It involves formulating a null hypothesis (b), which assumes no significant difference or relationship between variables, and an alternative hypothesis (c), which asserts that there is a significant difference or relationship. The independent-measures t-test and repeated-measures t-test (d) are specific types of statistical tests used to compare means or differences between groups, but they are not directly related to the hypothesis statement provided by Alessandra.
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charlotte denning earns both $13/hour and $26 for every sale she completes. during the most recent week, she worked 47 hours and made a total of 71 sales.
It rained 6 days in the month of april. What percent of the month did it rain?
**there are 30 days in April**
Answer:
5% of the time or in a decimal it's 0.05
While exploring a volcano, Zane heard some rumbling, so he decided to climb up out of there as quickly as he
could.
Zane's elevation relative to the edge of the inside of the volcano (in meters) as a function of time (in seconds) is
graphed.
how high did zane climb every 7 seconds
A 7/5 meters
B 5 meters
C 5/7 meters
D 7 meters
Answer:
Step-by-step explanation:
Zanes can climb 5/7 meters for every 7 seconds.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
This is clearly shown in the graph of Zane's elevation relative to the rim of the volcano in meters as a function of time in seconds.
The graph showed that Zane was climbing the volcano at a constant rate, creating a linear graph of his movement.
From the graphical representation, it could be seen from the graph that the x-intercept is (0,5) and the y-intercept is (7,0)
Slope of line is m=5/7
Hence, Zanes can climb 5/7 meters for every 7 seconds.
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abc=efg mG= ?///???????
Answer:
BCA==FGE
m <G=m<C=50° since corresponding angle of the congruent triangle are equal
In a recent snail race, a snail traveled a distance of inches in 2 minutes.
Find the number of inches traveled per minute and the number of minutes per inch.
The number of inches traveled per minute is 0.9167 inch/min and the number of minutes per inch is 1.0908 min/inch
What are unit rates?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.
For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that,
The snail in the race traveled 11/6 inches in 2 minutes.
Therefore,
The number of inches per minute = (11/6)/(2)
= 11/12
= 0.9167 inch/min
And,
The number of minutes per inch is equal to = 1/(inch per min)
= 1/0.9167
= 1.0908 min/inch
Hence, the number of inches traveled per minute is 0.9167 inch/min and the number of minutes per inch is 1.0908 min/inch
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The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.
The number of bears living in the area after 17 years is; 22555
How to solve exponential functions?We are given the function;
f(t) = 103/(1 + 26e^(-0.31t))
Where f(t) is a function that models the number of bears living in the area after t period of years.
Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;
f(17) = 103/(1 + 26e^(-0.31*17))
f(17) = 103/0.00456653759
f(17) ≈ 22555 bears
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8. Bir sınıftaki öğrenciler sıralara ikişerli oturduğunda 3 öğrenci
ayakta kalmaktadır. Üçerli oturduklarında ise 1 sira boş kal-
maktadır.
Buna göre sıra sayısını veren denklem hangi seçenekte
doğru olarak verilmiştir?
B) 2x + 3 = 3x - 1
A) 3x + 1 = 2x + 3
C) 2x - 3 = 3(x + 1)
D) 2x + 3 = 3(x - 1)
Answer:
cvp B çünkü o iki kavram birbiriyle eşit
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
Please give me the correct answer
Answer:
it's answer is 3.75
Step-by-step explanation:
Hypotenuse (h) = 6.25
Perpendicular (p) = 5
base (b) = ?
By using Pythagoras theorem we get
b = √ ( h² - p²)
= √( 6.25)² - 5²
= √ 14.0625
= √(3.75)²
= 3.75
Hope it will help:)❤
By Pythagoras theorem, a^2+b^2=c^2
The answer is 3.75
what is the difference between a sample mean and the population mean called? multiple choice point estimate standard error of the mean
A point estimate is the difference between a sample mean and a population mean, while the standard error of the mean is a measure of the variability between the two.
The difference between a sample mean and a population mean is known as a point estimate. A sample mean is the average of a group of observations taken from a larger population, while a population mean is the average of all observations in the entire population. A sample is a subset of the population that is selected for analysis, while the population is the entire group that is being studied. To make inferences about a population from a sample, researchers use point estimates, which are calculated from the sample data and used to estimate the population parameter. The point estimate is a single value that represents the best guess of the population mean based on the available sample data. The standard error of the mean is a measure of how much variability exists in the sample mean compared to the population mean. It reflects the amount of sampling error that can be expected when estimating the population mean from the sample mean.
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Marking brainliest!!!!
Answer:
D or J = 600
Step-by-step explanation:
It's hard to explain, but yeah.
Can I have brainliest?
find an equation of the tangent line to the given curve at the specified point. y = e^x / x , (1, e)
y = e is the equation of the tangent line to the given curve at the specified point , y = \(e^{x}\) / x , (1, e)
Through the coordinate geometry formal of point-slope form, the equation of tangent and normal can be calculated.
The tangent has the equation (y - y1) = m(x - x1), and a normal travelling through this point and perpendicular to the tangent has the equation (y - y1) = -1/m (x - x1).
thus , y' = \(\frac{e^{x}-xe^{x} }{x^{2} }\)
y'(1) = 0 = m
Our slope is indicated by the horizontal line.
y−\(y_{1}\)=m(x−\(x_{1}\))
Our line will simply be our y-coordinate because our slope(m) is 0:
e
Therefore:
The tangent line's equation is y=e.
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David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an equation in y = max + form that represents the value remaining in his account after x visits
Answer:
x = 335 - (6 * v)
Step-by-step explanation:
In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.
x = 335 - (6 * v)
The weight of the items in a truck is ton.
How many pounds do the items in the
truck weigh?
monica has a goal to complete a triathlon. the race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run. in training, monica can swim at an average pace of 2.1mph. she rides her bike at an average of 18.8mph and runs at 5.1mph. estimate how long it will take her to complete the triathlon.
3.31 it will take her to complete the triathlon.
To find this, we can apply the equation distance = rate x time.
We are aware of the length and pace of each triathlon leg. Let's name them, respectively, d and r. We must locate the time, which we shall designate as t.
d = r x t or
t = d/r
The distance is 0.93, or 93/100, and the rate is 1.2, or 12/10 when swimming. As a result of our formula, we have:
12/10 divided by 93/100 yields the same result as
93/100 * 10/12
time to swim = 93/120 = 31/40
We have a distance of 24.8 miles, or 248/10, and a speed of 18.8 miles, or 188/10, for biking. Using the same formula, we obtain:
248/10 divided by 188/10 or
248/10 * 10/188 = 248/188 = 62/47 = time to bike
Finally, for the run, the distance is 6.2 = 62/10 and the rate is 5.1 or 51/10. Plugging this into the formula gives:
62/10 divided by 51/10 or
62/10 * 10/51 = 62/51 = time to run
= 31/40 + 62/47 + 62/51
=3.31
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solve the following equation for x. Round any decimal to the nearest hundredth place ln 4^(x+3)= ln3^-3
Using the properties of logarithms we have that:
\(\begin{gathered} 4^{x+3}=3^{-x} \\ \log _2(4^{x+3})=\log _2(3^{-x}) \\ 2(x+3)=-x\log _2(3) \\ 2x+6=-x\log _2(3) \\ 2x+x\log _2(3)=-6 \\ x(2+\log _2(3))=-6 \\ x=-\frac{6}{2+\log _2(3)} \end{gathered}\)x has a value of -6/(2+log₂(3))
Cuánto es X+8=-5 ????
Answer:
First step
x=-8-5
Second step
x=13 Ans
Answer: x= -13
Step-by-step explanation:
x+8= -5
subtract 8 from both sides
x= -5-8
then subtract -8 from -5 to get -13
x=-13
Is important to remember the negatives and positives, so the answer can be correct. Let me know if you need any other help
Let
A = {1, 3, 5, 7, 9},
B = {3, 6, 9},
and
C = {2, 4, 6, 8}.
Find each of the following. (Enter your answer in set-roster notation. Enter EMPTY or ∅ for the empty set.)
(a). A ∪ B
(b). A ∩ B
(c). A ∪ C
(d). A ∩ C
(e). A − B
(f). B − A
(g). B ∪ C
(h). B ∩ C
The result of the each of the following set is
A ∪ B = {1, 3, 5, 6, 7, 9}
A ∩ B = {3, 9}
A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}
A ∩ C = {∅}
A - B = {1, 5, 7}
B - A = {6}
B U C = {2, 3, 5, 6, 8, 9 }
B ∩ C = {6}
The given values are
A = {1, 3, 5, 7, 9}
B = {3, 6, 9}
C = {2, 4, 6, 8}
Then find the each given terms in set roaster notation
Union of the set, intersection of the set and the difference of the set are the basic operations of set
A ∪ B = {1, 3, 5, 6, 7, 9}
A ∩ B = {3, 9}
A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}
A ∩ C = {∅}
A - B = {1, 5, 7}
B - A = {6}
B U C = {2, 3, 5, 6, 8, 9 }
B ∩ C = {6}
Therefore, all the given terms has been found
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. How many days will it take for $9500 to earn $800 at 8.25% p.a.?
It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:
Interest = Principal * Rate * Time
In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.
Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).
$800 = $9500 * 0.0825 * (t / 365)
Simplifying the equation:
800 = 9500 * 0.0825 * (t / 365)
Divide both sides by (9500 * 0.0825):
800 / (9500 * 0.0825) = t / 365
Simplify the left side:
800 / (9500 * 0.0825) ≈ 0.1083
Now, solve for t by multiplying both sides by 365:
0.1083 * 365 ≈ t
t ≈ 39.532
Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
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13. Town officials are putting a pathway around a pool as shown below.
(4x+3)
pool
(2x-5) ft
deck
a) Determine the perimeter of the pool in terms of x. Write your answer in simple form and
include units. Show or explain your work.
b) Determine the area of the pool in terms of x. Write your answers as a trinomial and include
units. Show or explain your work.
Answer:
ghcfgnxfgxgfmvjbnjghjbnmxfhcgxfgcxgchmvjm
Step-by-step explanation:
good day
i have four identical oranges. how many ways are there for me to divide these oranges into at most three groups? (by definition, a group must have at least one orange.)
Answer:
put 1 orange in each group and then cut the last in thirds and each group will have 1 and 1/3 oranges
Step-by-step explanation:
use the counting principle to determine the number of elements in the sample space. the possible ways to complete a multiple-choice test consisting of 24 questions, with each question having four possible answers (a, b, c, or d).
There are 4²⁴ possible ways to complete the multiple-choice test consisting of 24 questions, with each question having four possible answers.
We have 24 questions with each having 4 possible outcomes. If we had a question, then we would have 4 ways of answering question 1 and for each of the four answers in question 1, we would have four ways of answering question 2. So, we have 4² ways of answering the questions.
Like this, we have 24 questions. There are four ways to choose an answer to each question. By counting principle, we multiply the number of choices at each step and then we have -
= 4×4×4×4...= 4²⁴ ways to complete the test
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Consider the matrix A = [1 1 0; 1 1 0; 0 0 1]
Find the singular value decomposition of A; verify that = Σ
The singular value decomposition of a matrix A is given by A = UΣV^T, where U is an orthogonal matrix, The singular value decomposition (SVD) of the matrix A = [1 1 0; 1 1 0; 0 0 1] can be found, and it can be verified that the matrix Σ is equal to the singular values of A.
The singular value decomposition of a matrix A is given by A = UΣV^T, where U is an orthogonal matrix, Σ is a diagonal matrix containing the singular values of A, and V^T denotes the transpose of the orthogonal matrix V.
To find the SVD of matrix A, we first calculate A^TA, which yields [2 2 0; 2 2 0; 0 0 1]. The eigenvalues of A^TA are λ1 = 3 and λ2 = 0, with corresponding eigenvectors u1 = [1 1 0]^T and u2 = [0 0 1]^T, respectively.
Normalizing the eigenvectors, we obtain U = [1/√2 0; 1/√2 0; 0 1].
Next, we calculate AA^T, which gives [2 2; 2 2]. The eigenvalue of AA^T is λ = 4, with the corresponding eigenvector v = [1 1]^T.
Normalizing the eigenvector, we have V = [1/√2 1/√2].
The diagonal matrix Σ is constructed using the square root of the eigenvalues, resulting in Σ = [√3 0 0; 0 0 0].
Verifying that A = UΣV^T, we multiply U, Σ, and V^T and obtain the original matrix A, confirming the validity of the SVD.
Therefore, it is verified that Σ is equal to the singular values of matrix A
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What is the image of (0, -3) after a dilation by a scale factor of 1/3 centered at th origin?
best answer gets brainliest
The image of (0, -3) with a dilation by a scale factor of 1/3 is (0, -1).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
(0, -3)
Dilation by a scale factor of 1/3.
This means,
(0, -3) = (1/3 x 0, 1/3 x (-3) )
(0, -3) = (0, -1)
Thus,
The image is (0, -1).
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A random sample of 50 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 18 of these helmets some damage was observed. (a) Test the hypotheses H_0: p = 0.3H 0:p=0.3 versus H_{1} : p \neq 0.3H 1 :p
=0.3 with \alpha = 0.05.α=0.05. (b) Find the P-value for this test. (c) Find a 95% two-sided traditional CI on the true proportion of helmets of this type that would show damage from this test. Explain how this confidence interval can be used to test the hypothesis in part (a). (d) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of p is less than 0.02? (e) How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.02, regardless of the true value of p?
On testing the hypothesis , We fail to reject the null hypothesis at 5% level of significance.
In the question ,
it is given that ,
sample size (n) is = 50 ,
sample proportion(â) = 18/50 = 0.36
The null hypothesis is given as H₀ : p = 0.3
and the alternate hypothesis is \(H_{\alpha }\) : p ≠ 0.3
The z - test statistics can be calculated using the formula
z = (â - p) / √(p(1-p)/n)
Substituting the value â = 0.36 , p = 0.3 and n = 50 ,
we get ,
z = (0.36 - 0.3) / √(0.3(1-0.3)/50)
On simplifying ,
we get ,
z = 0.93
the excel function for the critical value ,
=NORMINV(0.05/2,0,1)
we get , the critical value as 1.96
we can see that the critical value is greater than test statistic value ,
So , we fail to reject null hypothesis at 5% level of significance .
Therefore , On testing given hypothesis , We fail to reject the null hypothesis at 5% level of significance.
The given question is incomplete , the complete question is
A random sample of 50 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 18 of these helmets some damage was observed.
Test the hypotheses H₀ : p = 0.3 versus H₁ : p ≠ 0.3 with α = 0.05 .
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Write a rule for the linear function in the table.
x
1
2
3
4
f(x)
3
2
1
0
f(x) = x + 4
f(x) = 4x
f(x) = x – 4
f(x) = 4 – x
Answer:
f(x) = 4 - x
Step-by-step explanation:
'f(x) = blah-blah' is the same as saying 'y = blah-blah', except it is also telling you that the x-y relationship is a function.
I notice that for each case, x + y = 4, so y = 4 - x
Or in 'function' terminology, f(x) = 4 - x
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
an experimenter randomly divided a group of volunteers into two groups. one group was given a manual and an instruction sheet (instruction group) to build a lego castle and the other was given just an image of the castle in its final form (no instruction group). one person in the no instruction group dropped out of the group showing one less n. scores below represent the stress level an hour after the start time (higher the number, the more stress). perform a t test, calculate d, and write a sentence summary of your results. what is the iv and dv? is it paired or independent samples design? be specific if it is paired is it one tail or two tailed? write out in statistical notation the null and alternate hypothesis what are the df and t critical value? conduct a t and d test (1pt) write out your interpretation, beginning with reject or fail to reject and with all the stat notations. (3 pts) type i or type ii error?
Using hypothesis testing the stress levels of participants were significantly higher in the no-instruction group compared to the instruction group.
The main mathematical topic is hypothesis testing and statistical inference.
The independent variable (IV) is whether participants received instructions or not, and the dependent variable (DV) is their stress level an hour after starting the Lego castle-building task. The design is an independent sample design because the participants in each group are different.
Since there are only two groups, the t-test will be a two-tailed test. The null hypothesis (H0) is that there is no difference in stress levels between the instruction and no instruction groups, while the alternative hypothesis (Ha) is that there is a difference.
The degree of freedom (df) is 10, and the critical t-value for a two-tailed test with α = 0.05 is ±2.306.
After conducting the t-test, if we reject the null hypothesis and find a significant difference between the two groups, we can calculate Cohen's d to determine the effect size. A positive d value indicates that the instruction group had a higher mean stress level than the no-instruction group.
The interpretation of the results would depend on the outcome of the t-test and the calculation of Cohen's d. If the null hypothesis is rejected and d is positive, we can conclude that providing instructions increased stress levels in participants compared to not providing instructions. If the null hypothesis is not rejected, we cannot conclude that there is a difference in stress levels between the two groups.
The type I error would be rejecting the null hypothesis when it is actually true, and the type II error would be failing to reject the null hypothesis when it is actually false.
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