Answer:
the answer is x=9
Step-by-step explanation:
Step-by-step explanation:
the answer was x=9 wish you luck on your homework and tests
The standard length of a piece of cloth for a bridal gown is 3.25 meters. A customer selected 35 pcs of cloth for this purpose. A mean of 3.52 meters was obtained with a variance of 0.27 m2 . Are these pieces of cloth beyond the standard at 0.05 level of significance? Assume the lengths are approximately normally distributed
The pieces of cloth are beyond the standard at 0.05 level of significance.
We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.
The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:
H0: μ = 3.25
The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:
Ha: μ > 3.25
We can calculate the test statistic as:
t = (x - μ) / (s / √n)
where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).
Plugging in the values, we get:
t = (3.52 - 3.25) / (0.52 / √35) = 3.81
Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.
Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.
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assume the time that patients wait is exponentially distributed. what is probability randonly selected patient will see the doctor within elven minutes of the schedule time?
The probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time is 0.4232.
The time that patients wait is exponentially distributed. Assuming the time that patients wait is exponentially distributed, we can use the probability density function (PDF) of the exponential distribution. The PDF of the exponential distribution is given by:
f(x)=λe−λx, where x ≥ 0, λ > 0 is the rate parameter and e is Euler's constant. e = 2.71828...
Now, we have to find the probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time. That is, we have to find P(X ≤ 11) where X is the time that a randomly selected patient waits to see the doctor.Therefore, the probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time is P(X ≤ 11). This can be found using the cumulative distribution function (CDF) of the exponential distribution. The CDF of the exponential distribution is given by:
F(x)=1−e−λxwhere x ≥ 0, λ > 0 is the rate parameter and e is Euler's constant.
So, the probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time is:
P(X ≤ 11)=F(11)=1−e−λx=1−e−(1/20)×11=1−e−(11/20)=0.4232
Therefore, the probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time is 0.4232.
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16. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant's
height at any time? Let y stand for the height of the plant in cm and let x stand for the time in months
Time (months) Plant Height (cm)
15
25
35
45
a.
3
5
7
9
y-15-2(x-3)
b. y-15=5(x-3)
c. y-3=(x-15)
d. The relationship cannot be modeled.
An equation in point-slope form gives the plant's height at any time include the following: B. y - 15 = 5(x - 3).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (25 - 15)/(5 - 3)
Slope (m) = 10/2
Slope (m) = 5
At data point (3, 15) and a slope of 5, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 15 = 5(x - 3)
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Each period, demand for apples is normally distributed with a mean of 290 and standard deviation of 70. Answer is complete but not entirely correct. Round your answer to two decimal places. What is the standard deviation of demand over 2 periods?
Given that demand for apples each period follows a normal distribution with a mean of 290 and a standard deviation of 70.
The standard deviation of demand over two periods is the square root of the sum of variances of each period. Since the variance is the square of the standard deviation, the formula for variance over two periods is$$
\begin{aligned}
\operatorname{Var}(2T) &= \operatorname{Var}(T) + \operatorname{Var}(T) \\
&= 2 \operatorname{Var}(T)
\end{aligned}
$$where T is the demand for apples in one period. Here, the standard deviation of demand for apples in one period is σ = 70. Therefore, the standard deviation of demand over two periods is given by$$
\begin{aligned}
\operatorname{SD}(2T) &= \sqrt{2\operatorname{Var}(T)} \\
&= \sqrt{2}\sigma \\
&= \sqrt{2} \times 70 \\
&= \boxed{98.99} \approx 99 \text{ (rounded to two decimal places)}
\end{aligned}
$$Therefore, the standard deviation of demand over two periods is approximately 99.
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The correct answer of the given question that standard deviation of demand for two periods is 99.00.
Given data:
The mean of the demand for apples is 290, and the standard deviation is 70.
The formula for standard deviation of a sample is:
SD = sqrt[(sum of (Xi - Xbar)^2) / (n - 1)]
where Xi is the individual data value, Xbar is the mean of the sample, and n is the sample size.
Since we don't have the data for the demand in each period, we cannot calculate the standard deviation of the demand for two periods directly.
However, since the standard deviation is a measure of how much the individual data points deviate from the mean, we can use the following formula to calculate the standard deviation of the demand for two periods:
SD2 = sqrt(2) * SD
where SD is the standard deviation of demand for one period.
So,SD2 = sqrt(2) * 70 = 99.00 (rounded to two decimal places)
Hence, the standard deviation of demand for two periods is 99.00.
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Find the volume of the rectangular prisim 6cm 4cm 12cm
Answer:
288cm²
Step-by-step explanation:
The volume of a rectangular prism can be easily calculated by multiplying the height by the width by the length
Assuming that the lengths given ( 6cm, 4cm and 12cm ) are the width, height and length
If so then the volume is equal to 6 * 4 * 12
6 * 4 = 24
24 * 12 = 288
volume = 288cm²
Answer:
The answer is 288
Step-by-step explanation:
I don't want to go into detail because the first guy already did., but check your formulas and what you are given and find the answers
which part of this box plot includes about 50% of the data?
The box, from 44 to 52 of this box plot includes about 50% of the data.
The box represents the middle 50% of the data, with the bottom and top of the box representing the first and third quartiles, respectively. The line inside the box represents the median.
The whiskers extend from the box to show the range of the data, excluding outliers. Outliers are typically shown as individual points outside the whiskers.
Based on this information, we can see that the box in the box plot represents the middle 50% of the data.
Therefore, The box, from 44 to 52, includes about 50% of the data.
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Your colleague’s computer stops working, and no one from the IT department is available to fix it. You have basic knowledge of computer hardware. Which action should you take as an ethical employee?
A.
Initiate help by offering to check the computer.
B.
Start a conversation with your colleague and provide a distraction.
C.
Take a quick break and offer your computer for a short time.
D.
Ignore it because it is beyond your designated scope of work.
Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.
What is a computer hardware?A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.
In Computer technology, there are various examples of a computer hardware and these include the following:
Power supply unit (PSU).Hard-disk driveKeyboardMonitor (screen)MouseMotherboardCentral processing unit (CPU).Network interface card (NIC).Memory moduleBased on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.
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Plant A Plant B Weeks Height (inches) Weeks Height (inches) 0 6 0 4 2 8 2 7 Part. To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable, and which is the dependent? Explain your answer.
The independent variable, x in this scenario is; weeks.
The dependent variable, y in this scenario is; height.
Which of the two variables is the dependent and which is the independent variable?It follows from the task content that the two variables which describe the growth model of the plants are; weeks and height.
Since, independent variable as the name implies is one whose values do not arrive from evaluation using other values, the independent variable in this scenario is; weeks.
However, by logic, the height of the plant is determined by the number of weeks and hence is dependent on the variable weeks. Therefore, the dependent variable is; height.
Ultimately, the independent and dependent variables are; weeks and height respectively.
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QUICKK a Square board has area of 2 ft.² what is the length of one side of the board
Answer:
√2 ft.
Step-by-step explanation:
⇒ Area of square board = 2 ft.²
⇒ (Side of the board)² = 2 ft.²
⇒ Side of the board = √(2 ft.²)
⇒ Side of the board = √2 ft.
Emily wants to buy new boots that cost $68. The sales tax rate in her city is 5%. What is the total cost for the boots?
Write an equation of the line that passes through the points.
(0,1),(−2,−5)
Answer:
y=4/-2
Step-by-step explanation:
I think that is the answer
Answer:
\(y=3x+1\)
Step-by-step explanation:
Given the following question:
Point A = (0, 1) = (x1, y1)
Point B = (-2, -5) = (x2, y2)
In order to find the answer, we must first find the slope of the two given points by using rise over run.
\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{-5-1}{-2-0}\)
\(m=\frac{-5-1}{-2-0} =\frac{-6}{-2}\)
\(=\frac{-6}{-2} =-6\div-2=3\)
\(m=3\)
Now that we know the slope, we can now write the equation in slope intercept form.
\(y=mx+b\)
\(m=3\)
\(y=1\)
\(x=0\)
Substitute:
\(1=3(0)+b\)
\(3\times0=0\)
\(1=b\)
\(b=1\)
\(y=3x+1\)
Hope this helps.
Algebra 1
Need to be answered as fast as possible
7 fishes οf the new released initially in the given expοnential pοpulatiοn grοwth. (οptiοn c)
What is expοnential pοpulatiοn grοwth?Expοnential pοpulatiοn grοwth means that whatever the pοpulatiοn size is, it keeps increasing because the pοpulatiοn per individual remains the same, accelerating pοpulatiοn grοwth that is limited by limited resοurces. Hence, this increase in pοpulatiοn size is knοwn as expοnential pοpulatiοn grοwth.
The grοwth οf their pοpulatiοn is mοdeled by the expοnential functiοn
P(t)=\(7b^{t}\) ,where t is the time in weeks after the release and b is a pοsitive unknοwn base.
Initially that is t=0
sο fοr t=0,
p(0)=7×1 [since sοmething tο the pοwer zerο is equal tο 1]
Hence, P(0)=7
sο there were 7 fishes initially.
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people once thought that trying to square a circle was an illness. what was the name of the illness?
Step-by-step explanation:
The name of the illness is morbus cyclometricus
We draw 200 numbers from N(50, 10) We consider arly number greater than 60 to be a high value. Using the empirical rule how many high values do we expect to have in our sample of 200?
a. 32
b. 16
c. 10
d. 3
e. 5
Using the empirical rule 16 high values do we expect to have in our sample of 200.
Using the Empirical Rule, we would expect approximately 16 high values in our sample of 200.
We can calculate this by taking the mean (50) + (2 * the standard deviation (10)), which equals 70.
So, any values greater than 70 would be considered a high value. With the mean being 50 and standard deviation being 10,
this means that approximately 68% of the numbers would be below 70, and 32% would be above 70. Since we are taking a sample of 200 numbers,
that means 32 numbers should be greater than 70, and thus considered a high value.
The empirical rule, also known as the 68-95-99.7 rule, is a statistical principle that applies to data that follow a normal distribution. This rule provides a quick and easy way to estimate the spread of data around the mean in terms of standard deviations.
According to the empirical rule:
1.Approximately 68% of the data falls within one standard deviation of the mean.
2.Approximately 95% of the data falls within two standard deviations of the mean.
3.Approximately 99.7% of the data falls within three standard deviations of the mean.
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Suppose that the data mining task is to cluster the following eight points (with ( x, y) representing co-ordinates of these points) into three clusters: A1(2,10),A2(2,3),A3(8,4),A4(5,8),A5(6,5),A6(6,4),A7(2,2),A8(4,9) Suppose initially we assign A1, A3, and A5 as the center of each cluster, respectively, and the distance function is Euclidean distance. Using k-means what would be the final 3-clustering results? Cluster1: \{\}, Cluster2: {A1, A2, A3, A5, A6}, Cluster3: {A4, A7, A8} Cluster1: {A1, A4, A8}, Cluster2: {A3, A5, A6}, Cluster3: {A2, A7} Cluster1: {A1, A2, A3, A4}, Cluster2: {A5, A6, A7}, Cluster3: {A8} Cluster1: \{\}, Cluster2: \{\}, Cluster3: {A1, A2, A3, A4, A5, A6, A7, A8} Cluster1: {A1, A2}, Cluster2: {A3, A4}, Cluster3: {A5, A6, A7, A8} Cluster1: {A1, A5, A8}, Cluster2: {A3, A4, A6}, Cluster3: {A2, A7}
The final 3-clustering results using k-means on the given set of eight points (A1(2,10), A2(2,3), A3(8,4), A4(5,8), A5(6,5), A6(6,4), A7(2,2), A8(4,9)) with initial centers A1, A3, and A5 are: Cluster1: {}, Cluster2: {A1, A2, A3, A5, A6}, Cluster3: {A4, A7, A8}.
K-means is an iterative algorithm for clustering data points. In the first iteration, the initial centers A1, A3, and A5 are assigned. Each point is then assigned to the nearest center based on Euclidean distance. In subsequent iterations, the centers are updated based on the mean coordinates of the points assigned to each cluster. This process continues until convergence, where the assignment of points to clusters remains unchanged.
In this case, the initial centers are A1(2,10), A3(8,4), and A5(6,5). After the first iteration, A2 and A6 are assigned to Cluster2, while A4 and A8 are assigned to Cluster3. In the second iteration, the centers are updated to the mean coordinates of the points in each cluster: A1(2,10), A4(4.5,8.5), and A7(3,5.5). A3, A5, and A6 are assigned to Cluster2, while A2 and A7 are assigned to Cluster3. In the third iteration, the centers are updated to A1(2,10), A5(6,4.67), and A7(3,4.67). No further changes occur in the assignment of points, indicating convergence.
Therefore, the final 3-clustering results are: Cluster1 is empty, Cluster2 contains A1, A2, A3, A5, and A6, and Cluster3 contains A4, A7, and A8.
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TIME REMAINING
43:02
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Mark this an
the answer of this question is (-2,2)
In the sequence S of numbers, each term after the first two terms is the sum of the two immediately preceding terms. What is the 5th term of S
Answer:
5th term = 2*1st term + 3*2nd term
Step-by-step explanation:
z₁ : 1st term, z₂ : 2nd term
z₃ = z₁ + z₂
z₄ = z₃ + z₂ = z₁ + 2*z₂
z₅ = z₄ + z₃ = (z₁ + 2*z₂) + (z₁ + z₂) = 2*z₁ + 3*z₂
Solve 4(3m + 1) − 2m = −16.
A. m = −0.83
B. m equals negative 20 over 12
C. m equals negative 17 over 10
D. m = −2
Answer:
Step-by-step explanation:
-0.83
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
(
,
)
The ordered pair for the greatest amount he can buy is (3.2, 12)
How to find the greatest cost of gas?He has $12 to put gas in his car. The gas costs $3.75 per gallon.
Therefore,
x = number of gallons of gasy = total cost of the gas.Hence, the total amount he has to spend is 12 dollars.
Therefore,
y = 3.75x
where
y = 12 dollars
Therefore,
12 = 3.75x
divide both sides by 3.75
12 / 3.75 = 3.75x / 3.75
x = 3.2
Therefore, the ordered pair for the greatest amount he can buy is (3.2, 12)
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Jeremiah conducts a survey and finds that as the first variable in his survey decreases the second vaiable increases. What type of association is there between the two variables
The given statement describes a negative association between the two variables: "as the first variable in his survey decreases the second variable increases.
Negative Association:
In statistics, when one variable rises, the other falls, and vice versa, a negative association or inverse correlation is present.
The slope is negative when there is a negative relationship between variables; the trend line descends from left to right in a downward direction.
Therefore, as the first variable decreases, the second variable increases, indicating a negative relationship.
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please helpppppppppp
Answer:
Time 10 = $40 Savings
Time 15 = $60 Savings
Time 25 = $100 Savings
Step-by-step explanation:
Answer:
10/40 ,15/60 ,25/100
Step-by-step explanation:
How can you tell a triangle is similar with having only one side number?
Answer:
If the pictures are relevant:
Step-by-step explanation:
Measure the sides, or look for the best fit image
What is the distance between (-4,-8) and (2,3)?
Answer:
Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12
i need help asap or i will fail
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J = L - 7
K = 2L - 21
L = L
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Sum of the interior angles of any triangle equal 180 . Thus ;
\(L + K + J = 180\)
\(L + (2L - 21) + (L - 7) = 180 \\ \)
\(4L - 28 = 180\)
Add sides 28
\(4L - 28 + 28 = 180 + 28 \)
\(4L = 208\)
Divide sides by 4
\( \frac{4}{4} L = \frac{208}{4} \\ \)
\(L = 52\)
So :
\(J = L - 7\)
\(J = 52 - 7\)
\(J = 45\)
And :
\(K = 2 L - 21\)
\(K = 2(52) - 21\)
\(K = 104 - 21\)
\(K = 83\)
Done...
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if ∠G ≅ ∠H, then ∠H ≅ ∠G
name the property
Answer:
Symmetric Property of Equality
Step-by-step explanation:
If an = 14, a1 = -36, and d=5, find n.
Answer:
n=11
Step-by-step explanation:
an=a1+(n-1)d
14=-36+(n-1)5
14=-36+5n-5
14+36+5=5n
55=5n
n= 11
Which expressions are equivalent to 5 +(-3)(6x-5)?
Choose all answers that apply:
A : 18x– 20
B : 3x - 3
C: None of the above
Please help
Answer:
C. None of the above
Step-by-step explanation:
You can get the equivalent expression by simplifying the expression above.
5+(-3)(6x-5)5+ (-18x+15)5-18x+15-18x+20-18x+20 is not the same with 18x-20, therefore A is not a correct answer.
For example, the value of x is 2.
-18(2) + 20 = ? -36 + 20 = ?-1618(2) - 20 =?36 - 20 = ?16-16 and 16 are not the same
Is the relation shown in the arrow diagram a function? Explain.
Answer:
We conclude that:
Yes; Each input has only one output.
Step-by-step explanation:
From the given arrow diagram, we can easily determine the table
x y
2 24
4 8
6 16
8 32
10 32
From the table, it is clear that each input has only one output, in other words, each possible x value is leading to exactly one y value.
Meaning there is no repetition of any domain (x) value.
Therefore, we conclude that:
Yes; Each input has only one output.
If Elsa plays the piano for 3/4 hours a day, how many hours of piano practice will she gain in 20 days?
Answer:
15 hours
Step-by-step explanation:
3x20=60
4x1=4
60÷4=15
Answer:
15 hours of practice
Step-by-step explanation:
The equation is simple. Multiply 3/4 by 20 for a final result of 15.
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For which function is the ordered pair (5, 10) not a solution?
y = 15 - x
y = x - 5
y = x + 5
y = 2 x
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0