The point estimate of the population proportion can be calculated as the proportion of employees who failed the test in the sample. In this case, out of the 400 randomly tested employees, 14 failed the test. Therefore, the point estimate of the population proportion is 14/400 = 0.035 or 3.5%.
It's important to note that this is just an estimate based on a sample of employees, and the true proportion of employees who fail the test in the entire population may be different. To estimate the population proportion with more accuracy, a larger sample size may be needed. Additionally, it's important to consider any potential biases in the sampling method and the testing process that may affect the validity of the results.
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If a woman get 7000 dollars for every 3 hour how much will she make for 81 hours
Answer:
567000 dollars
Step-by-step explanation:
Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000
let x be a matrix of centered data with a column for each field in the data and a row for each sample. then, not including a scalar multiple, how can we use matrix operations to compute the covariance matrix of the variables in the data?
To compute the covariance matrix of centered data matrix X, the following matrix operation can be used: \(cov(X) = (1/(n-1)) X^T X\), where \(X^T\) is the transpose of X.
Given a matrix\($X$\) of centered data with a column for each field in the data and a row for each sample, the covariance matrix of the variables in the data can be computed using matrix operations as:
\($\text{cov}(X) = \frac{1}{n-1}X^TX$\)
where \($n$\) is the number of samples and \($X^T$\) is the transpose of the matrix \($X$\). The matrix multiplication \($X^TX$\) computes the sum of the outer products of the columns of \($X$\), and dividing by \($n-1$\) gives an unbiased estimate of the covariance matrix. Note that the resulting matrix is a symmetric matrix with variances on the diagonal and covariances off the diagonal.
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1.4 + (-0.8) I’m having trouble with a test
Answer:
0.6
Step-by-step explanation:
Answer:
0.6
Step-by-step explanation:
Adding a negative number is the same as subtracting. So 1.4 - 0.8 = 0.6
You and five friends are going to see a movie it’s a movie ticket cost eight dollars complete the equation to show
Answer:
the answer would be $45
Step-by-step explanation:
GIVING BRAINLIEST! PLS SHOW WORK!!
Answer:
30
Step-by-step explanation:
all traiangles have to same vetec
Answer:
Since the angle on the top is a 90 degree as you might have noticed.
And the other angle is 30 degrees.
Then the last angle should be 60 degrees.
(Because every angle in a triangle should add up to 180 degrees)
I don't know about the measure of the sides tho.
Hope that helps !
t takes 12 hours for half of the He in a container to leak out. If the same container is refilled with Ne, how long will it take for half of the Ne to leak out
The time taken by the Ne to come out of the container will be 26.83 hours
What will be the time?Here it is given in the question that it takes 12 hours for half of the He in a container to leak out If the same container is refilled with Ne then time taken by the Ne gas to leak will be calculated from the formula
\(\dfrac{V_{He}}{t_{He}}\times \dfrac{t_{Ne}}{V_{Ne}}=\sqrt\dfrac{M_{Ne}}{M_{He}}\)
Since the volume of both the gases will be same so
\(V_{He}=V_{Ne}\)
\(\dfrac{t_{Ne}}{t_{He}}=\sqrt5\)
\(t_{Ne}=12\times \sqrt5\)
\(t_{Ne}=12\times 2.236\)
\(t_{Ne}=26.83\ hours\)
Hence the time taken by the Ne to come out of the container will be 26.83 hours
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Which of these is NOT a method for proving that a quadrilateral is a parallelogram? show both pairs of opposite sides are congruent show one pair of opposite sides are parallel AND congruent show that one pair of opposite sides is parallel and the other is not parallel show both pairs of opposite sides are parallel
i need help with this plz
You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $60 per hour. Great Sounds Studio rents for $25 plus $80 per hour. Determine the number of hours for which the cost of 1 Step renting the studios is the same. Work needs to be showed btw
The solution is found by slope of the graph and the solution is 2,200.
Let x the amount of money per hour and y the total amount of money.
Studio A:-
Rents for 100 dollars plus 50 dollars per hour.
\(y= 100 + 50x\)
So the slope is 50 and the y intercept is 100.
Studio B:-
rents for 50 dollars plus 75 dollars per hour.
\(y= 50 + 75x\)
So the slope is 75 and the y intercept is 50.
ThrTh solution is 2200 , see the gragraphph.
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Complete question:- You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $50 per hour. Great Sounds Studio rents for $50 plus $75 per hour. Solve the system by graphic method.
question 3 options: an intensive care unit medical lab has an average turnaround time of 26.2 minutes and a standard deviation of 1.05 minutes. the upper specification limit is 30 minutes, and the lower specification limit is 20 minutes. what is the process capability index for this lab? round your answer to the nearest three decimal places.
The process capability index for this lab is 5.14
We know that the formula for the process capability index is:
\(C_{p}=min(\frac{X-LS}{3\sigma} , \frac{US-X}{3\sigma} )\)
Here, the average turnaround(X) = 26.2
the standard deviation ( σ) = 1.05 minutes
the nominal value for service = 30 minutes
the upper specification= 50 minutes
and lower specification = 10 minutes
Using above formula the process capability index would be,
\(C_{p}=min(\frac{X-LS}{3\sigma} , \frac{US-X}{3\sigma} )\\\\C_{p}=min(\frac{26.2-10}{3\times 1.05} , \frac{50-26.2}{3.15} )\\\\C_{p}=min(\frac{16.2}{3.15} , \frac{23.8}{3.15} )\\\\C_{p}=min(5.14, 7.56)\\\\C_{p}=5.14\)
Therefore, the process capability index is 5.14
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a technical engineer is interested in understanding the battery life of two different laptops for student usage at a community college in california. the two models he has are madroid and krapple. he randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. use data file: laptops.csv download laptops.csv does the technical engineer have statistically significant evidence to present to the university budget committee to purchase krapple because it has, on average, a longer battery life? provide the p-value from your analysis.
The conclusion of hypothesis testing through the t-test is that the technical engineer have not statistically significant evidence to present to the university budget committee to purchase Krapple because it has, on average, a longer battery life. The p-value for t-test is equals to the 0.0074.
We have study related to battery life of two different laptops for student usage at a community college in california. There are two models, Krapple and Madroid. Engineer randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. Here we have paired data so paired t test should be used.
Let d = Krapple - Madroid ( Sample sum of difference). Above table shows the calculations, Sample size, n = 15
Sample sum of difference, d = 1243
Sample mean of differences: Σα
= 1243/15 = 82.87
Sample standard deviation = \(\sqrt{\frac{488317.73}{15-1}}\)
= 186.76
The Null and alternative Hypotheses are defined as \(H_0 : \mu_1- \mu_2 = 0\)
\(H_a : \mu_1 - \mu_2 < 0\)
Level of significance, α = 0.05
Test is one tailed (right tailed) df = n- 1
=> Degree of freedom = 14
Using the t - test, \(t = \frac{\sum d }{ \sqrt{\frac{n\sum d² - (\sum d)²}{n - 1}}}\)
so, \( t = \frac{ 1243}{\sqrt{\frac{15× 488317.73 - (1243)²}{ 15 -1}}}\)
=> \(t =\frac{1243}{\sqrt{412836.925}}\)
=> t = 1.93
Now, using distribution table, P- value for t = 1.93, is 0.074. See, p-value > 0.05 , so result is not statistically significant. So, there is no evidence to reject the null hypothesis.
Conclusion: The technical engineer do not have statistically significant evidence to present to the university budget committee to purchase Krapple because it has, on average, a longer battery life.
Hence, required p-value is 0.074.
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Complete question:
the above first figure complete the question.
a technical engineer is interested in understanding the battery life of two different laptops for student usage at a community college in california. the two models he has are madroid and krapple. he randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. use data file: laptops.csv download laptops.csv does the technical engineer have statistically significant evidence to present to the university budget committee to purchase krapple because it has, on average, a longer battery life? provide the p-value from your analysis.
the minimax regret criterion is also referred to by economists as:
The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.
The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.
In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.
Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.
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How do you find the area of a circle with a rectangle?
the area of a circle with a rectangle will be [π w²2]/4.
What is the area of a circle?
The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.
area of the circle will be πr².
The area of a circle inscribed in a rectangle if the length of the rectangle is l and the width is w
= [π w²2]/4.
Hence the area of a circle with a rectangle will be [π w²2]/4.
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Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88.
The sum of twice a number and half the number is ten
Answer:
Step-by-step explanation:
2x + x/2 = 10 multiply by 2
4x + x = 20 Combine the left
5x = 20 Divide by 5
x = 20/5
x = 4
Answer:
4
Step-by-step explanation:
Let x equal the unknown number.
Sum means we're dealing with addition.
Twice and half means we're dealing with multiplication (and/or divison).
Written out, the sum of 2 times some number (x) PLUS half that same number (x) is equal to 10.
So, lets put 10 on one side:
10 = some equation
Put the variables on the other side:
some number = 2x + .5x
Set them equal to each other and solve algebraically:
10 = 2x + .5x
Combine like terms: 2x and .5x
10 = 2.5x
Divide both sides by 2.5x
4 = x
Final answer:
x = 4
Hope this helps!
Sydney put $1 in her Piggy bank.For the next three weeks Sydney doubled the amount she put in her bank.
Sydney has$42 dollars in her piggy bank Step-by-step explanation: if she put one dollar in her bank for 3 weeks you do 7x3 and get 21 you double that and then you 21x2 and get 41 add that one dollar Tell me if im wrong
Sydney would have $7 in her account in 3 weeks.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
Sydney put $1 in her Piggy bank. For the next three weeks Sydney doubled the amount she put in her bank.
Assume that she saves $y in [x] weeks. We can model the linear function of her saving as -
y = 1 + 2x
or we can write -
y = 2x + 1
For x = 3, we will have -
y = 7
Therefore, Sydney would have $7 in her account in 3 weeks.
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1/7 done! Starting off strong! Let’s try and keep it up!
Answer: 148
Step-by-step explanation:
180-32 = 148
B=C
P=X
Answer:
x = 148 degrees
Step-by-step explanation:
180 - 32 = 148
Someone plz help me with both I will give brainliest
Answer
3.- *in order* 4,8, 4 aka- 4/40- 1/10
40
5.- *in order* 3/5 x 3/7 = 9/35
Step-by-step explanation:
you have to simplify 4/40 wich is 1/10 and the rest s self explanitory. hope this helped!!
In triangle ABC, the sum of the measures of angle A and angle B is 120. The sum of the measures of angle B and C is 110. Find the measure of the greatest angle of the triangle.
Answer:
70
Step-by-step explanation:
the sum of the three is 180, so c is 60, a is 70, and b is 50.
Given points J(3,4), A(7.5), and R(5,2), graph AJAR and its reflection image across the given line.Rx-axis
By reflection triangle JAR across x- axis, we get
By comparing the given options, we can see that the answer is option D
the time to complete a bridge varies inversely with the square root of the number of people working. if 9 people can complete the job in 75 days then how long would it take 25 people?
If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.
Let T be the time and L be the Labor (Number of people working on the bridge).
T ∞ 1/√L (Inverse relationship)
T = K/√L ----------------------------- (1)
Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.
According to the question,
Time (T) = 75 days and
labor (L) = 09
From the equation (1), we get,
T = K / √L
⇒ 75 = K/√9
⇒ 75= K/3
⇒ K= 225
First, the relationship between these variables is:
T = 225/√L
Therefore, how long it will take 25 people to do it means that we should look for the time.
T=225/√L
⇒ T= 225/√25
⇒ T= 225/5
⇒ T= 45 days.
therefore, 25 people needs 45 days to complete the job.
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The graph shows the function f(x).
What is the function's average rate of change from x = - 1 to x =
1?
Enter your answer, as a simplified fraction, in the boxes.
To calculate the average rate of change of a function from x = -1 to x = 1, we need to find the difference in the function's values at those two points and divide it by the difference in the x-values.
Let's denote the function f(x). The average rate of change (AROC) is given by:
AROC = (f(1) - f(-1)) / (1 - (-1))
To determine the function's values at x = 1 and x = -1, we need more specific information or a graph of the function f(x).
Without that information, we cannot provide an accurate answer or simplify the fraction.
If you can provide the function's equation or a graph, I would be more than happy to assist you in finding the average rate of change.
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the greater the absolute size of the correlation coefficient, the greater is the covariation between the two variables, or the stronger is their relationship. true false
What is covariance
Covariance measures the directional relationship between the returns of two assets. A positive covariance means that the asset returns move together, a negative covariance means they move in opposite directions.
What does covariance between two variables mean?
Covariance measures the direction of the relationship between two variables. A positive covariance means that both variables tend to be high or low at the same time. Negative covariance means that as one variable increases, the other tends to decrease.
correlation coefficient
Correlation coefficient measures the strength of association between two variables. The most common correlation coefficient, called the Pearson product-moment correlation coefficient, measures the strength of linear association between variables measured on an interval or ratio scale.
according to the question given data,
the greater the absolute size of the correlation coefficient, the greater is the covariation between the two variables ,or the stronger is their relationship,(true)
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Find the greatest common factor of 28 and 63
Answer:
The Greatest Common Factor (GCF) for 28 and 63, notation CGF(28,63), is 7.
Step-by-step explanation:
The factors of 28 are 1,2,4,7,14,28;
The factors of 63 are 1,3,7,9,21,63.
So, as we can see, the Greatest Common Factor or Divisor is 7, because it is the greatest number that divides evenly into all of them.
Brainlist maybe? :)
8pq + - 17pq please help me
Answer:
- 9pq
Step-by-step explanation:
8pq + (- 17pq)
8pq - 17pq
- 9pq
(1)[3 Pts] The probability of producing a high-quality color print is 0.10. How many prints do you have to produce so that the probability of producing at least one quality print is larger than 0.90
The number of prints that the probability of producing at least one quality print is 22.
Given that the probability of producing a high-quality color print is 0.10.
The binomial distribution summarizes the number of trials or observations when each trial has an equal chance of reaching a certain value. The binomial distribution determines the probability of observing a particular number of positive results in a defined number of tests.
Probability of high-quality color print (P) = 0.1
Probability of producing not high-quality color print (1-P) = 0.9
Assume the no. of prints to produce 'n' and these are produced independently say 'x' be the no. of producing quality prints, which follows a binomial distribution.
The probability function of binomial distribution is
\(P(X=x)\left(\begin{array}{l}n\\ x\end{array}\right)P^x(1-P)^{n-x},x=0,1,2,.....,n\)
Given that
P(X≥1)≥0.90
1-P(X=0)≥0.90
1-(1-P)ⁿ≥0.90
1-(0.90)ⁿ≥0.90
(0.90)ⁿ≥0.10
Now, taking log of both sides, we get
nlog(0.90)≥log(0.10)
n(0.1053)≥2.3025
n≥21.86
n≈22
Hence, the probability of producing a high-quality color print is 0.10 and the number of prints to produce so that the probability of producing at least one quality print is larger than 0.90 is 22.
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-12 (-5/6) (-2/15) How do I solve this question I am stuck on an assignment
If a number in parenthesis is directly next to a number without, then the two numbers need multiplied.
-12(5/6)(-2/15) is an example of a double multiplication. But we'll multiply -12 and 5/6 first, then multiply the product by -2/15.
-12x5/6=14 2/5
14 2/5x-2/15=-1 23/25
---
hope it helps
sorry if it doesn't
A certain music box has the shape of a cube. Each side of the music bos is 15 cm long. What is the surface area of the box
The music box has a surface area of 1350 square cm.
A cube has six square faces that are all the same size. The length of each side of the cube is given as 15 cm. Therefore, the surface area of the cube can be found by calculating the area of one square face and then multiplying it by 6:
Area of one square face = (15 cm) x (15 cm) = 225 square cm
The surface area of the cube = 6 x (Area of one square face)
= 6 x 225 square cm
= 1350 square cm
As a result, the music box has a surface area of 1350 square cm.
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if two lines are parallel and one has a slope of -1/7, what is the slope of the other line?
-1/7, since parallel lines have equal slopes.
admission to local art museum is $8 for each adult. How much does it cost for $4 adults to attend the museum