Answer
i think the answer is c but i dont know good luck
Step-by-step explanation:
YALL JHITTS GO ADD MY T IK T OK
ITS >. * twoplayaany*
im following back
Answer:
Okay bestie ‼️
Step-by-step explanation:
Let be a fixed vector in and vector be a solution to where Q is a m*n matrix.
Prove every solution to the equation is in the form?
Given a fixed vector b and a vector x is a solution to Qx = b, it is required to prove that every solution to the equation is in the form x = xh + xp where xh is a particular solution to Qx = b and xp is a solution to the equation Qxp = 0.
Let xh be a particular solution to Qx = b, so that Qxh = b.
Now consider the homogeneous equation Qx = 0.
This is an m × n system of homogeneous linear equations in the n unknowns x1, x2, ..., xn, whose coefficient matrix is Q.
Since xh is a solution to the equation Qx = b, it follows that the equation Q(x - xh) = Qx - Qxh = b - b = 0.
This means that x - xh is a solution to the homogeneous equation Qx = 0.
Now any solution to Qx = b is of the form x = xh + xp, where xp is any solution to the homogeneous equation Qxp = 0.
Thus, every solution to the equation is in the form x = xh + xp, as required.
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Read the excerpt from The Fellowship of the Ring. On this occasion the presents were unusually good. The hobbit-children were so excited that for a while they almost forgot about eating. There were toys the like of which they had never seen before, all beautiful and some obviously magical. Many of them had indeed been ordered a year before, and all the way from the Mountain and from Dale, and were of real dwarf-make. Which detail in the excerpt identifies it as fantasy? Great presents are given at the party. The children almost forget to eat. Some of the toys are magical. The gifts have been ordered very early.
Answer:
c. some of the toys are magical
Step-by-step explanation:
The detail in the excerpt that identifies it as fantasy is "Some of the toys are magical." The correct option is 3.
What is The Fellowship of the Ring about?J.R.R. Tolkien's novel The Fellowship of the Ring was published in 1954. The Lord of the Rings is the first book in the epic fantasy series.
"Some of the toys are magical," says the excerpt, identifying it as fantasy. Magical toys imply the presence of magical elements in the story, which is a common feature of fantasy literature.
Other details, such as great gifts being given at a party and the children almost forgetting to eat, are not necessarily unique to fantasy and could be found in other genres.
The fact that the toys were ordered from the Mountain and Dale a year before.
Thus, the correct option is 3.
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The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A)6 people
B)7 people
C)8 people
D)9 people
HELP ASAP ILL GIVE BRAINLIEST
Answer:
B. 7 people
Step-by-step explanation:
If you multiply 8x16 you get: 128. Then you subtract 135 from 128 and get: 7. Therefore, 7 people will not be able to go if they only rent 16 minivans.
Please help me
Find the surface area
If you can explain to that would be great if not that’s fine
4 m
12 m
18 m
Answer
672 meters²
Step-by-step explanation:
2×(18×12 + 18×4 + 12×4) = 672 meters²
hope this helps :))
What is the equation in point-slope form of the line passing through (0,5) and (-2, 11)?
Oy-5=-3(x + 2)
Oy-5= 3(x + 2)
Oy - 11 = -3(x - 2)
Oy - 11 = -3(x + 2)
Answer: y-11 = -3(x+2)
Find the distance between the points (–7,–9) and (–2,4).
Answer:
13.93
Step-by-step explanation:
see attached for explanation
The hourly number of emergency telephone calls coming in to a police command and control centre has approximately a Normal distribution with mean of 130 and standard deviation of 25.
a) Assuming that calls arrive evenly throughout any hour and that one operator can deal with 24 calls in an hour, what is the probability that 6 operators will be able to deal with all the calls that arise in an hour? (30 marks)
b) Making the same assumptions as in (a), how many operators should there be to ensure that there is sufficient capacity to meet 95% of demand? (30 marks)
c) One possible scheme for increasing the efficiency of command and control centres is to combine the work of two such centres into one centre. For example, suppose a second centre has a similar workload to the one described above.
(i) Assuming that calls to the combined centre arrive evenly throughout any hour and that one operator can still deal with 24 calls in an hour, what is the probability that 12 operators will be able to deal with all the calls that arise in an hour? (20 marks)
(ii) Making the same assumptions again, how many operators should there be in the combined centre to ensure sufficient capacity to meet 95% of demand? (20 marks)
Given information: The hourly number of emergency telephone calls coming in to a police command and control center has approximately a normal distribution with a mean of 130 and standard deviation of 25. One operator can deal with 24 calls in an hour.
a) The probability that 6 operators will be able to deal with all the calls that arise in an hour is 0.7642.
b) The number of operators should be 203 to ensure that there is sufficient capacity to meet 95% of demand.
c) (i) The probability that 12 operators will be able to deal with all the calls that arise in an hour is 0.7852.
(ii) The number of operators should be 336 to ensure that there is sufficient capacity to meet 95% of demand.
a) Probability that 6 operators will be able to deal with all the calls that arise in an hour.
Mean, µ = 130, Standard Deviation, σ = 25.
Operator can deal with in an hour, n = 24.
Let X = number of emergency calls coming in an hour.
The number of emergency telephone calls coming in to a police command and control center in an hour can be assumed to be Poisson with λ = 130.
Since each operator can handle 24 calls in an hour, therefore, the number of operators required to handle all the calls can be obtained as follows: [tex]$$\frac{X}{24}$$[/tex].
This can be converted to a Standard Normal Variable Z using the formula:[tex]$$Z=\frac{(\frac{X}{24}-\mu)}{\sigma}$$[/tex].
Probability that 6 operators will be able to deal with all the calls that arise in an hour can be calculated as follows:
[tex]$$\begin{aligned} \frac{X}{24} &\leq 6 \\ X &\leq 6 \times 24 \\ X &\leq 144 \end{aligned}$$[/tex]
Now, we need to find the probability of Z ≤ [tex]$$(\frac{144}{24}-130)/25=0.72$$[/tex].
Using normal distribution tables, we get P(Z ≤ 0.72) = 0.7642.
Hence, the probability that 6 operators will be able to deal with all the calls that arise in an hour is 0.7642.
b) To find the number of operators should there be to ensure that there is sufficient capacity to meet 95% of demand.
Let X = number of emergency calls coming in an hour.
The number of emergency telephone calls coming in to a police command and control center in an hour can be assumed to be Poisson with λ = 130.
Since each operator can handle 24 calls in an hour, therefore, the number of operators required to handle all the calls can be obtained as follows:[tex]$$\frac{X}{24}$$[/tex].
This can be converted to a Standard Normal Variable Z using the formula:[tex]$$Z=\frac{(\frac{X}{24}-\mu)}{\sigma}$$[/tex].
To ensure sufficient capacity to meet 95% of demand, we need to find the value of X such that: P(X ≤ x) = 0.95.
Using the Z table, we can find that the probability of Z ≤ 1.645 is 0.95.
Now, we can use the formula:
[tex]$$\frac{X}{24}-130/25=1.645$$[/tex]
[tex]$$X= 1.645\times 25\times 24+130$$[/tex]
[tex]$$X=202.63$$[/tex]
Therefore, the number of operators should be 203 to ensure that there is sufficient capacity to meet 95% of demand.
c) Two centers are combined and let X_1 and X_2 be the number of calls at centers 1 and 2, respectively.
Then the total number of calls, X = X_1 + X_2, follows a normal distribution with
mean = 130 + 130
mean = 260, and
standard deviation = sqrt(25^2 + 25^2)
= 35.36
i) Probability that 12 operators will be able to deal with all the calls that arise in an hour can be calculated as follows:
[tex]$$\begin{aligned} \frac{X}{24} &\leq 12 \\ X &\leq 12 \times 24 \\ X &\leq 288 \end{aligned}$$[/tex]
Now, we need to find the probability of Z ≤ [tex]$$(\frac{288}{24}-260)/35.36=0.789$$[/tex].
Using normal distribution tables, we get P(Z ≤ 0.789) = 0.7852.
Hence, the probability that 12 operators will be able to deal with all the calls that arise in an hour is 0.7852.
ii) To ensure sufficient capacity to meet 95% of demand, we need to find the value of X such that: P(X ≤ x) = 0.95.
Using the Z table, we can find that the probability of Z ≤ 1.645 is 0.95.
Now, we can use the formula:
[tex]$$\frac{X}{24}-260/35.36=1.645$$[/tex]
[tex]$$X= 1.645\times 35.36\times 24+260$$[/tex]
[tex]$$X=335.58$$[/tex]
Therefore, the number of operators should be 336 to ensure that there is sufficient capacity to meet 95% of demand.
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A blue and red dice are thrown simultaneously. Let A: the outcomes on the two dice are the same; B: the value on the red dice is greater or equal to the value on the blue dice. 4.1 Write down the sample pace for the experiment, and list events A and B in terms of set notation. 4.2 Determine P(A),P(B) and P(A|B)
P(A) = 6/36 = 1/6, P(B) = 21/36 = 7/12, P(A|B) = P(A∩B) / P(B) = 6/36 / 21/36 = 6/21 = 2/7. The outcomes in both A and B are: {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}. The number of outcomes in A and B = 6.
4.1 Sample Space and Events in Set Notation:
When a blue and red die are thrown simultaneously, the sample space, denoted by S, consists of all possible outcomes. Since each die has six faces numbered 1 to 6, there are 36 possible outcomes in total.
Sample Space (S): {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
Event A represents the outcomes where the values on both dice are the same:
A = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
Event B represents the outcomes where the value on the red die is greater than or equal to the value on the blue die:
B = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,4), (4,5), (4,6), (5,5), (5,6), (6,6)}
4.2 Calculating Probabilities:
P(A): To find the probability of event A, we divide the number of favorable outcomes (6) by the total number of outcomes (36).
P(A) = 6/36 = 1/6
P(B): To find the probability of event B, we divide the number of favorable outcomes (21) by the total number of outcomes (36).
P(B) = 21/36 = 7/12
P(A|B): To find the conditional probability of event A given event B, we need to find the probability of A and B occurring together and divide it by the probability of event B.
The outcomes in both A and B are: {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
The number of outcomes in A and B = 6.
P(A|B) = P(A∩B) / P(B) = 6/36 / 21/36 = 6/21 = 2/7
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The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
(1, 8). Find a, b and c
Answer:
Step-by-step explanation:
You need to use vertex form of a quadratic to solve this.
Consider the vertex to be [tex](h,k)[/tex]
Another way of representing a quadratic is in "vertex form":
[tex]f(x) = a(x-h)^2+k[/tex]
Now all you have to do is solve for a. You know that the vertex is [tex](0,2)[/tex] and you have know the point of [tex](1,8)[/tex]. Now, all you have to do is plug in these values and solve for a.
[tex]8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6[/tex]
Now you know the equation is [tex]f(x) = 6(x-0)^2+2[/tex] , but you need it in quadratic form. All you have to do is solve is distribute the 6:
[tex]6x^2+2[/tex]
You get:
a = 6
b = 0
c = 2
Please mark this as brainliest if it satisfies your question
Let f and g be functions defined on R" and c a real number. Consider the following two problems, Problem 1: max f(x) and Problem 2: max f(x) subject to g(x) = c. 1. Any solution of problem 1 is also a solution of problem 2. True or false? 2. If Problem 1 does not have a solution, then Problem 2 does not have a solution. True or false? 3. Problem 2 is equivalent to min - f(x) subject to g(x) = c. True or false? 4. In Problem 2, quasi-convexity of f is a sufficient condition for a point satisfying the first-order conditions to be a global minimum. True or false? 5. Consider the function f(x,y) = 5x - 17y. f is a) quasi-concave b) quasi-convex c) quasi-concave and quasi-convex d) no correct answer
True. Any solution of Problem 1 (max f(x)) is also a solution of Problem 2 (max f(x) subject to g(x) = c).
True. If Problem 1 does not have a solution, then Problem 2 does not have a solution.
True. Problem 2 (max f(x) subject to g(x) = c) is equivalent to min -f(x) subject to g(x) = c.
False. In Problem 2, the quasi-convexity of f is not a sufficient condition for a point satisfying the first-order conditions to be a global minimum.
The function f(x,y) = 5x - 17y is quasi-concave.
Any solution that maximizes f(x) will also satisfy the constraint g(x) = c. Therefore, any solution of Problem 1 is also a solution of Problem 2.
If Problem 1 does not have a solution, it means that there is no maximum value for f(x). In such a case, Problem 2 cannot have a solution since there is no maximum value to subject to the constraint g(x) = c.
Problem 2 can be reformulated as finding the minimum of -f(x) subject to the constraint g(x) = c. This is because maximizing f(x) is equivalent to minimizing -f(x) since the maximum of a function is the same as the minimum of its negative.
False. Quasi-convexity of f is not a sufficient condition for a point satisfying the first-order conditions to be a global minimum in Problem 2. Quasi-convexity guarantees that local minima are also global minima, but it does not ensure that the point satisfying the first-order conditions is a global minimum.
The function f(x,y) = 5x - 17y is quasi-concave. A function is quasi-concave if the upper contour sets, which are defined by f(x,y) ≥ k for some constant k, are convex. In this case, the upper contour sets of f(x,y) = 5x - 17y are convex, satisfying the definition of quasi-concavity.
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The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product in 8 minutes or less is a. 0.25 b. 0.75 c. 0.5 d. 1.5
The assembly time for a product is uniformly distributed between 6 to 10 minutes.
The probability of assembling the product in 8 minutes or less is 0.5 (option c).
Solution: Given, the assembly time for a product is uniformly distributed between 6 to 10 minutes. The range is a = 6 to b = 10.The probability of assembling the product in 8 minutes or less is to be determined.
Let's calculate the probability using the formula: P(x < or = 8) = (x - a) / (b - a)Here, a = 6, b = 10, and x = 8.P(x < or = 8) = (8 - 6) / (10 - 6) = 2 / 4 = 0.5Therefore, the probability of assembling the product in 8 minutes or less is 0.5. So, the correct option is (c) 0.5.
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You plan to manufacture a Product X in Cote d'Ivoire (one of the poorest nations in the world): 8,000 units in 1st year, 15,000 units in 2nd year, and 20,000 in 3rd year. Fixed costs (e.g. rent, insurance, salaries…) are $10,000 in 1st year, $12,000 in 2nd year, and $18,000 in 3rd year. You plan to purchase equipment to manufacture Product Xs at $12,000 (at Year zero), with the life of the equipment of 3 years. Apply the straight-line depreciation method.
Product X will be sold at $5 (no change in 3 years) each in over 12 African countries. Cost of Goods Sold (e.g. raw materials, packaging, direct labor) of each Product X is $3 (no change in 3 years). NGOs help you to distribute GPs to customers. The tax rate is 30%. The change in net working capital in the Year zero is -$10,000 and $10,000 in Year 3.
Assume the expected rate of return is 5%.
What is the operating cash flow (not to be confused with total projected cash flow!) in Year 1?
Group of answer choices
$5400
$6320
$7600
$8200
You plan to manufacture a Product X in Cote d'Ivoire, the operating cash flow in Year 1 is $6,320.
To calculate the operating cash flow in Year 1, we need to consider the following components: revenue, cost of goods sold (COGS), fixed costs, depreciation, taxes, and changes in net working capital.
Revenue: The revenue is calculated by multiplying the number of units sold by the selling price per unit. In this case, the revenue is 8,000 units x $5 = $40,000.
COGS: The cost of goods sold is the cost per unit multiplied by the number of units sold. Here, the COGS is 8,000 units x $3 = $24,000.
Fixed Costs: The fixed costs are given as $10,000.
Depreciation: Since the equipment has a life of 3 years and was purchased for $12,000, the annual depreciation expense is $12,000/3 = $4,000.
Taxes: The tax rate is 30%. We calculate the taxable income by subtracting the COGS, fixed costs, and depreciation from the revenue: $40,000 - $24,000 - $10,000 - $4,000 = $2,000. The tax liability is then $2,000 x 30% = $600.
Changes in Net Working Capital: The change in net working capital in Year 1 is -$10,000.
Now, we can calculate the operating cash flow: Operating Cash Flow = Revenue - COGS - Fixed Costs + Depreciation - Taxes + Changes in Net Working Capital = $40,000 - $24,000 - $10,000 + $4,000 - $600 - (-$10,000) = $6,320.
Therefore, the operating cash flow in Year 1 is $6,320.
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which equation has no real solutions?
2x²+2x+15=0
2x²+5x-3=0
x²+7x+2=0
x²-4x+2=0
Answer:
A
Step-by-step explanation:
x=
−b±√b2−4ac
2a
x=
−(2)±√(2)2−4(2)(15)
2(2)
x=
−2±√−116
4
and there is really no solution
In recent years the interest rate on home mortgages has declined to less than 6.0 percent. However, according to a study by Federal Reserve Board the rate charge on credit card debit is more than 14 percent. Listed below is the interest rate charged on a sample of 10 credit cards. 14.6 16.7 17.4 17.0 17.8 15.4 13.1 15.8 14.3 14.5 Is it reasonable to conclude the mean rate charged is greater than 14 percent? Use the 0.01 significance level. Assume the interest rate on home mortgages is normally distributed.
We can conclude that, at the 0.01 significance level, there is sufficient evidence to support the claim that the mean rate charged on credit cards is greater than 14%.
How to calculate the valueThe test statistic is calculated as follows:
t = (x - μ) / (s / √n)
In this case, the sample mean is 15.66%, the sample standard deviation is 1.544%, and the sample size is 10. Plugging these values into the formula for the test statistic, we get:
t = (15.66 - 14) / (1.544 / √10)
= 3.4
The critical value is the value of the test statistic that separates the rejection region from the non-rejection region. The critical value for a two-tailed test with a significance level of 0.01 and 9 degrees of freedom (10 - 1 = 9) is 2.821.
Since the test statistic (3.4) is greater than the critical value (2.821), we reject the null hypothesis. This means that there is sufficient evidence to conclude that the mean rate charged is greater than 14%.
We can conclude that, at the 0.01 significance level, there is sufficient evidence to support the claim that the mean rate charged on credit cards is greater than 14%.
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As part of a larger study investing attitudes towards relationships, a survey was administered to unmarried, currently married, and formerly married adults. First married adults had more positive perceptions of marriage than singles or remarried adults, F(2, 39) = 5.34, p = 042
It is clear that First-married adults had more positive perceptions of marriage than singles or remarried adults.
Attitudes towards relationships are often studied to determine how they affect people's perception of them. A survey was given to unmarried, currently married, and formerly married adults as part of a broader study of attitudes toward relationships. In this study, it was discovered that first-married adults had more positive attitudes toward marriage than single or remarried adults. The statistical values from the study are provided below:First married adults had more positive perceptions of marriage than singles or remarried adults, F(2, 39) = 5.34, p = 0.042.F stands for F-test, which is a statistical test used to compare whether the means of two or more groups differ from each other significantly. Here, the F-test indicated that there was a statistically significant difference in the attitudes of first-married adults, unmarried adults, and remarried adults towards marriage. Additionally, the p-value is 0.042, which indicates that there is a statistically significant difference between the groups' attitudes towards marriage.
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The sentence given "First married adults had more positive perceptions of marriage than singles or remarried adults, F(2, 39) = 5.34, p = 042" is a claim made in the larger study that was conducted investigating attitudes towards relationships.
The F(2, 39) = 5.34 indicates that the claim is statistically significant and the p-value is less than 0.05, which is the generally accepted level of significance, indicating that the findings are not due to chance.
The terms "part" and "positive" are related to the study but do not specifically apply to this claim. The claim made in this sentence is that first-married adults had more positive perceptions of marriage than singles or remarried adults. The F(2, 39) = 5.34 indicates that the claim is statistically significant. F-statistic is the ratio of between-group variance to within-group variance. Here, the between-group variance is the variance among the perceptions of different types of adults (i.e., first-married, singles, remarried) and the within-group variance is the variance within each group. Since the F-value is statistically significant, we can reject the null hypothesis and accept that there are differences in perceptions of different types of adults. The p-value is the probability of finding such results by chance. Here, the p-value is less than 0.05, which is the generally accepted level of significance, indicating that the findings are not due to chance.
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Pls someone help me
Answer:
Step-by-step explanation:
455
The quotient of 5 and the sum of 10 and twice y.
Answer:
2y + 10 / 5
Step-by-step explanation:
Quotient tells you you're dividing. Sum of 10 means add that to whatever else they say. Twice y = 2y.
Please lmk if you have questions.
When you reflect a shape, you (blank) over an axis or line.
Answer:
poison
Step by Step Explanation
When you reflect a shape, you flip over an axis or line, the answer is flip.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
As we know the reflection will change the orientation not the shape or size after reflection we will get mirror image of the body.
When you reflect a shape, you flip over an axis or line.
Thus, when you reflect a shape, you flip over an axis or line the answer is flip.
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Which rectangular equation represents the parametric equations x =t Superscript one-half and y = 4t? y = 4x2, for x ≥ 0 y = one-fourth x squared, for x greater-than-or-equal-to 0 y = 16x2, for x ≥ 0 y = StartFraction 1 Over 16 EndFraction x squared, for x greater-than-or-equal-to 0
Answer:
Answer is Option A
Step-by-step explanation:
the things people do for points smh :/
The rectangular equation which represents the parametric equations; x = t^(¹/2) and y = 4t is; y = 4x2, for x ≥ 0.
Rectangular Equation from Parametric equationsFrom the task content, it follows that the parametric equations given are;
x = t^(¹/2) and y = 4tHence, it follows that; t = x² and y= 4t
Ultimately, upon substitution of x² for t; the resulting rectangular equation is; y = 4t².
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On average, a banana will last 6.2 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil less if the banana is hung from the ceiling? The data show results of an experiment with 16 bananas that are hung from the ceiling. Assume that that distribution of the population is normal.
3.9, 4.9,5.1, 3.9, 4, 5.8, 7, 5, 3.6, 4.3, 4.4, 6, 6.8, 6.7, 7.1, 5.2
What can be concluded at the the α = 0.05 level of significance level of significance?
Using a one-sample t-test, we cannot conclude that the mean time to spoil is significantly different when bananas are hung from the ceiling.
One sample t-test3.9, 4.9, 5.1, 3.9, 4, 5.8, 7, 5, 3.6, 4.3, 4.4, 6, 6.8, 6.7, 7.1, 5.2
We can calculate the sample mean and sample standard deviation:
Sample mean (x) = (3.9 + 4.9 + 5.1 + 3.9 + 4 + 5.8 + 7 + 5 + 3.6 + 4.3 + 4.4 + 6 + 6.8 + 6.7 + 7.1 + 5.2) / 16 = 5.3
Sample standard deviation (s) = √[(Σ(xi - x)²) / (n - 1)] = √[(Σ( - 5.3)²) / 15] ≈ 1.273
We will perform a one-sample t-test using the null hypothesis (H0) that the mean time to spoil is equal to 6.2 days, and the alternative hypothesis (H1) that the mean time to spoil is less than 6.2 days.
The test statistic is calculated as:
t = (x - μ) / (s / √n)
Where μ is the hypothesized mean (6.2), s is the sample standard deviation (1.273), and n is the sample size (16).
Plugging in the values:
t = (5.3 - 6.2) / (1.273 / √16) ≈ -0.887
To determine the critical t-value for a one-tailed test at α = 0.05 level of significance with 15 degrees of freedom (n - 1), we refer to the t-distribution table or use statistical software. The critical t-value is approximately -1.753.
Since the test statistic (-0.887) does not exceed the critical t-value (-1.753), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the mean time to spoil is less when bananas are hung from the ceiling compared to the average time of 6.2 days, at the α = 0.05 level of significance.
Therefore, we cannot conclude that the mean time to spoil is significantly different when bananas are hung from the ceiling.
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Which sentence is TRUE ??
Answer:
the bottom choice
3. The experimental probability that Cindy will catch a fly ball is equal to 3. About what percent of the time will 7 Cindy catch a fly ball?
Correct question:
The experimental probability that Cindy will catch a fly ball is equal to 3/7. About what percent of the time will Cindy catch a fly ball?
Answer:
42.9%
Step-by-step explanation:
Given that:
Experimental probability of catching a fly is 3/7
This can be interpreted as : Out of 7 tries, Cindy caught a fly only 3 times
Expressing this as a percentage :
3/7 * 100%
0.4285714 * 100%
42.857%
= 42.9%
Hence, Cindy will catch a fly at about 42.9% of the time
Evaluate ∫ x ds, where C is a. the straight line segment x = t, y = t/2, from (0, 0) to (12, 6) b. the parabolic curve x = t, y = 3t^2, from (0, 0) to (2, 12)
To evaluate the integral ∫ x ds, we need to parameterize the given curves and compute the arc length integral. In part (a), we evaluate the integral for the straight line segment from (0, 0) to (12, 6). In part (b), we evaluate the integral for the parabolic curve from (0, 0) to (2, 12).
(a) For the straight line segment x = t, y = t/2 from (0, 0) to (12, 6), we can parameterize the curve as follows: x = t, y = t/2. The differential arc length element ds is given by ds = √(dx² + dy²). Substituting the parameterizations, we have ds = √(dt² + (dt/2)²) = √(5/4 dt²). Thus, the integral becomes ∫ x ds = ∫ t √(5/4 dt²) = ∫ t (√5/2) dt. Integrating with respect to t from 0 to 12, we get (√5/2) ∫ t dt = (√5/2) (t²/2) evaluated from 0 to 12. Evaluating this expression, we find that the integral is equal to (√5/2) (144/2) = 36√5.
(b) For the parabolic curve x = t, y = 3t² from (0, 0) to (2, 12), we can parameterize the curve as before: x = t, y = 3t². The differential arc length element ds is given by ds = √(dx² + dy²). Substituting the parameterizations, we have ds = √(dt² + (6t dt)²) = √(1 + 36t²) dt. Thus, the integral becomes ∫ x ds = ∫ t √(1 + 36t²)dt. Integrating with respect to t from 0 to 2, we can use techniques like substitution or numerical methods to evaluate the integral and obtain the result.
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Classify the sequence as arithmetic or geometric; then write a rule for the nth term. 900,450,225,
Geometric sequence with a common ratio of 1/2. Rule for the nth term: an = 900 (1/2)^(n-1).
A sequence is considered arithmetic if the difference between consecutive terms is constant, and it is geometric if the ratio between consecutive terms is constant. In the given sequence, we can observe that each term is half of the previous term, indicating a constant ratio of 1/2.
To find the rule for the nth term of a geometric sequence, we start with the first term and multiply it by the common ratio raised to the power of (n-1), where n represents the position of the term. In this case, the first term is 900, and the common ratio is 1/2. Therefore, the rule for the nth term of the sequence is an = 900 (1/2)^(n-1).
Using this rule, we can find any term in the sequence by substituting the corresponding value of n into the formula. For example, the third term can be found by setting n = 3: a3 = 900 (1/2)^(3-1) = 225.
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1) According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.14 kg. Use the data to answer questions (a) through (e).
a. Determine the sampling distribution of the sample mean for samples of size 3.
b. Determine the sampling distribution of the sample mean for samples of size 12.
d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg.
e. Determine the percentage of all samples of twelve men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg.
_________________________________________
2) According to a study, brain weights of men in country A are normally distributed with mean 1.60 kg and standard deviation 0.12 kg. Apply the 68.26-95.44-99.74 rule to fill in the blanks.
68.26% of men in country A have brain weights between ___ kg and __kg
_____________________________________________
a) Sample distribution follows normal distribution with mean( μ) = 1.10 kg,
and standard deviation σ = 0.081
b) Sample distribution follows normal distribution with mean( μ) = 1.10 kg,
and standard deviation σ = 0.04
d) The percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 79.77%.
e) The percentage of all samples of twelve men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 99.3%.
2) 68.26% of men in country A have brain weights between 1.48 kg and 1.72 kg.
Solution:
Population standard deviation is the measure of how spread out the population data is. It measures the difference of the individual items from the mean. A standard deviation is a statistic that measures the dispersion of a dataset relative to its mean. It is calculated as the square root of variance by determining the variation between each data point relative to the mean.
1)
Given mean = 1.10 kg, standard deviation = 0.14 kg
a) To find the sampling distribution of the sample mean for samples of size 3.
Standard error of mean = σ/√n
= 0.14/√3
=0.081
Sample distribution follows normal distribution with mean( μ) = 1.10 kg,
and standard deviation σ = 0.081
b) To find the sampling distribution of the sample mean for samples of size 12.
Standard error of mean = σ/√n
= 0.14/√12
= 0.04
Sample distribution follows normal distribution with mean( μ) = 1.10 kg,
and
standard deviation σ = 0.04
d) Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg.
Sample distribution follows normal distribution with mean( μ) = 1.10 kg,
and
standard deviation σ = 0.081
Z = (x - μ) / σZ
= (1.1 + 0.1 - 1.1) / 0.081
= 1.23
Z = (1.1 - 0.1 - 1.1) / 0.081
= -1.23
P ( -1.23 < Z < 1.23) = 0.7977
The percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 79.77%.
e) Determine the percentage of all samples of twelve men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg.
Sample distribution follows normal distribution with mean( μ )= 1.10 kg,
and
standard deviation σ = 0.04
Z = (x - μ) / σ
Z = (1.1 + 0.1 - 1.1) / 0.04
= 2.5
Z = (1.1 - 0.1 - 1.1) / 0.04 = -2.5
P ( -2.5 < Z < 2.5) = 0.993
The percentage of all samples of twelve men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 99.3%.
2)
Given mean = 1.60 kg,
standard deviation = 0.12 kg
68.26% of men in country A have brain weights between μ - σ and μ + σ
68.26% of men in country A have brain weights between 1.48 kg and 1.72 kg.
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help plsss. marking brainliest
Answer:
1. 3
2. 1
Step-by-step explanation:
Answer:
1.3. now mark brainlieet plsssssssssss like you said you would
(i) Find the roots of f(x) = x3 – 15x – 4 using the cubic formula. : (ii) Find the roots using the trigonometric formula.
The roots using the trigonometric formula is -2 + √3
What is the cubic formula?The cubic formula is ax3 + bx2 + cx + d = 0. There is a wondering relation between the roots and the coefficients of a cubic polynomial.
The given function is
f(x) = x3 – 15x – 4
Using the Cardanos method we have
[tex]\sqrt[3]{2+11i} + \sqrt[3]{2-11i}[/tex]
Recall that the sum of the cubic root u of 2+11i with a cubic root u of 2-11i
Such that uv = -15/3 = 5
Now take u = 2+i and v = 2-i The indeed u³ = 2+11i, v³ = 2+11i and uv = 5
Therefore, 4(-u+v) is a root
But now take ω = -1/2 + √3/2i, Then ω² = -1/2 - √3i/2, ω = 1
and if you take u' = ωu, v' ω²v
u'' = ω²u, and v'' = ∈v
Then u' +v and u'' +v'' will be roots too
This means that -2±√3, v' + u' = -2 √3 and u'' + v'' = -2 +√3
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whats 194 divided by 32
i need help!!!! i have to identify the area and i forgot how to do it and it was due 2 days ago!
Answer: I think B is the answer.
Step-by-step explanation:
Answer:not sure but
Step-by-step explanation: you can multiply each box, so lets say we have 20 times 7cm you multiply that and you get your answer, so put that a side
and once you multiply in each box add the numbers up and that should get your answer and make sure to add the "cm" at the end