The length of the hip on a hip roof rises 1.5 feet vertically.
The hip roof has a slope of 6 inches per foot ( hip slope factor = 1.5) and a hip run of 14 feet
Length of hip = (square root of (hip run squared + (hip slope factor x roof span squared)))
Plugging in the given values, we get:
Length of hip = (square root of (14 squared + (1.5 x 14 squared)))
Length of hip = (square root of (196 + 294))
Length of hip = (square root of 490)
Length of hip = 22 feet (rounded to the nearest whole number)
Therefore, the correct answer is C. 22.
It's important to note that the hip slope factor is a value used to calculate the actual slope of the hip, which is typically steeper than the pitch of the roof. In this case, the hip slope factor of 1.5 means that for every foot of horizontal run, the hip rises 1.5 feet vertically.
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bruce has a pet worm that fell into a well. the well is 26 feet deep. each day, the worm climbs up 8 feet, but each night, it slides back down 2 feet. how many days will it take for bruce’s worm to get to the top of the well
a cylinder has a height of 13 inches and a radius of 7 inches l. What is its volume? use 3.14 amd round you answer to the nearest hundredth
The formula for the volume of a cylinder is:
V = πr^2h
where r is the radius and h is the height of the cylinder.
Substituting the given values, we get:
V = π(7^2)(13)
= 1274π
≈ 3993.87 cubic inches (rounded to the nearest hundredth)
Therefore, the volume of the cylinder is approximately 3993.87 cubic inches.
if we want to estimate the population mean time for previews at movie theaters with a margin of error of minute, what sample size should be used? assume confidence.
The recommended sample size for estimating the population mean time for previews at movie theaters with a margin of error of one minute and a confidence level of 95% would be n = 1.
To determine the sample size needed to estimate the population mean time for previews at movie theaters with a margin of error of one minute, we would need to know the confidence level desired. The confidence level is the level of certainty we want to have in our estimate.
Let's assume a confidence level of 95%, which is commonly used in many statistical analyses. This corresponds to a Z-score of 1.96, which is the critical value for a 95% confidence level in a standard normal distribution.
The formula for calculating the sample size needed for estimating a population mean with a given margin of error and confidence level is:
n = ( [tex]Z^2[/tex] * [tex]σ^2[/tex] ) / [tex]E^2[/tex]
where:
n = sample size
Z = Z-score for the appropriate level of confidence
σ = standard deviation of the population (if known)
E = margin of error
Since the population standard deviation (σ) is not given, we will assume it is unknown and use a conservative estimate of 0.5 as a typical standard deviation for movie theater preview times.
Plugging in the values into the formula:
n = ( [tex]1.96^2[/tex] * [tex]0.5^2[/tex] ) / [tex]1^2[/tex]
n = (3.8416 * 0.25) / 1
n = 0.9604 / 1
n ≈ 0.9604
As sample sizes must be whole numbers, we round up to the nearest whole number to ensure we have enough sample size to meet the desired margin of error and confidence level.
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To estimate the population mean time for previews at movie theaters with a margin of error of one minute and a certain confidence level, we need to use the formula for sample size calculation.
To estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, you'll need to calculate the sample size. Assuming you want a certain confidence level, you'll use the following formula:
n = (Z^2 * σ^2) / E^2
Where:
- n is the sample size
- Z is the Z-score, which depends on the desired confidence level (e.g., 1.96 for 95% confidence)
- σ is the population standard deviation (you'll need to have an estimate of this value)
- E is the margin of error (1 minute in this case)
Once you have the estimated standard deviation, you can plug the values into the formula and calculate the sample size required to achieve the desired margin of error and confidence level.
Since we do not know the standard deviation of the population, we can use a conservative estimate of 5 minutes as the standard deviation. For a 95% confidence level, the z-score is 1.96. Substituting these values into the formula, we get:
n = (1.96^2 * 5^2) / (1^2) = 96.04
Rounding up, we can say that a sample size of at least 97 previews would be needed to estimate the population mean time for previews at movie theaters with a margin of error of one minute and a 95% confidence level.
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83x37 pls show me a picture of how to do this it’s my homework
2.) Let's consider a Stackelberg version of monopolistic competition. Suppose market demand is given by P = 30 – Q and there are ""n"" firms in the market with the first firm denoted as the leader
The specific numerical solution will depend on the number of firms in the market and their behavior.
In a Stackelberg version of monopolistic competition, there is a leader firm that sets its output first, and all the other firms in the market act as followers and choose their outputs simultaneously.
Suppose there are "n" firms in the market, with the first firm denoted as the leader. Let's assume that each firm has a constant marginal cost of $10 per unit. Then, the leader firm's profit-maximizing output level can be found by solving the following problem:
max (30-Q1-Q2-...-Qn)Q1 - 10Q1
subject to Q1 >= 0
where Q1 is the output level of the leader firm, and Q2, Q3, ..., Qn are the output levels of the follower firms.
Taking the first-order condition by differentiating with respect to Q1 and setting it equal to zero, we get:
d/dQ1 [(30-Q1-Q2-...-Qn)Q1 - 10Q1] = 0
Simplifying this expression, we get:
30 - Q1 - Q2 - ... - Qn - 2Q1 = 0
Solving for Q1, we get:
Q1 = (30 - Q2 - ... - Qn)/3
This equation gives us the leader firm's profit-maximizing output level as a function of the follower firms' output levels.
Now, let's consider the follower firms' profit-maximizing output levels. Since each follower firm is a price-taker, its profit-maximizing output level can be found by equating marginal cost to market price, which is equal to the market demand curve divided by the total quantity produced by all firms in the market. Therefore, the profit-maximizing output level of the jth follower firm can be expressed as:
Qj* = (1/n) * (30 - Q1 - Q2 - ... - Qj-1 - Qj+1 - ... - Qn - 10)
where Qj* is the follower firm's profit-maximizing output level, and j = 2, 3, ..., n.
Using these expressions for the leader and follower firms' profit-maximizing output levels, we can solve for the equilibrium outputs and profits in the Stackelberg version of monopolistic competition. However, the specific numerical solution will depend on the number of firms in the market and their behavior.
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Dean loves rocks. Altogether, they have 6 66 pieces of granite, 3 33 pieces of marble, and 14 1414 pieces of sandstone.
What is the ratio of pieces of sandstone to total pieces of rock in Dean's collection?
(Choice A)
9
:
14
9:149, colon, 14
A
9
:
14
9:149, colon, 14
(Choice B)
14
:
9
14:914, colon, 9
B
14
:
9
14:914, colon, 9
(Choice C)
14
:
23
14:2314, colon, 23
C
14
:
23
14:2314, colon, 23
(Choice D)
23
:
14
23:1423, colon, 14
D
23
:
14
23:14
Answer:
a maybe
Step-by-step explanation:
please i need your help for today please i would really appreciate it
Answer:80
Step-by-step explanation:
SOMEONE PLEASE HELP I NEED THE ANSWER NOW AND RIGHT NOW PLEASEEEEE!!!!!!
Answer:
B
Step-by-step explanation:
Its easy
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
The surface area of the triangular pyramid in the image given is calculated as: C. 323 square inches.
How to Find the Surface Area of a Triangular Pyramid Using its Net?To find the surface area of the triangular pyramid, find the area of each face and the base as shown in the net given and add all together.
Area of the three triangular faces = 3(1/2 * base * height)
= 3(1/2 * 15 * 10)
= 3(75)
= 225 square inches
Area of the triangular base = 1/2 * base * height
= 1/2 * 15 * 13
= 97.5 square inches
The surface area = 225 + 97.5 = 322.5
≈ 323 square inches.
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Complete the table.
f(u) = u² + 2u + 3 f(u) U
-20 -10 0 10
Explain.
Answer: see below
Step-by-step explanation:
To complete the table, we need to evaluate the function f(u) = u² + 2u + 3 for the given values of u.
f(u) U
-20 (-20)² + 2(-20) + 3 = 403
-10 (-10)² + 2(-10) + 3 = 117
0 0² + 2(0) + 3 = 3
10 10² + 2(10) + 3 = 123
The table can be filled as follows:
f(u) U
403 -20
117 -10
3 0
123 10
The function f(u) = u² + 2u + 3 is a quadratic function, which has a parabolic shape. The coefficient of u² is positive, which means the parabola opens upward. The vertex of the parabola is at the point (-1, 2), which is the minimum point of the function.
As u increases or decreases from 0, the function increases. This is reflected in the table, where we see that the values of f(u) increase as u moves away from 0.
The table gives us a set of ordered pairs that represent the function f(u) for the given values of u. These ordered pairs can be plotted on a coordinate plane to draw the graph of the function.
the angle from a lookout at the top of a lighthouse (a) boat located at point c is 30 angle the boat travels towards the lighthouse and after 1 minute has travelled a distance of 50 meter and is now located at point b. the angle of elevation from the boat at b up to the lighthouse lookout is 60 angle. find the height of the lighthouse and find the speed of the boat in meters per second from c to b
We can use the fact that angle ACB is 30° to find v. We can use the tangent function:DB = CD - 50
DB = 2950 / v
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.
To solve this problem, we will use trigonometry and geometry.
First, let's draw a diagram to better understand the situation:
/|
/ |
/ | h
b / |
----
d
a c
|\ |
| \ |
H | \ h' |
| \ |
| \ |
| \ |
| \ |
| \ |
| \|
------------
D
In this diagram, we have the lighthouse at point A with height H, the boat at point C, and after traveling for 1 minute at a constant speed, it reaches point B. We are given that angle ACB is 30°, angle AHB is 90°, and angle ABH is 60°.
We need to find the height of the lighthouse and the speed of the boat from C to B.Let's start by finding the height of the lighthouse. We can use the tangent function:
tan(ABH) = H / d
tan(60) = H / d
sqrt(3) = H / d
H = sqrt(3) * d
Now, let's find the distance d. We can use the law of cosines:scss
d² = h² + (AB)² - 2 * h * AB * cos(ABH)
We know that AB = 50 meters, ABH = 60°, and h = CD - h', where CD is the distance the boat traveled from C to D and h' is the height of the boat at point D. We can also use the tangent function to find h':
tan(ACH) = h' / CD
tan(30) = h' / (CD + DB)
1/sqrt(3) = h' / (CD + 50)
h' = (CD + 50) / sqrt(3)
Substituting h' in the previous equation:
d² = (CD - (CD + 50) / sqrt(3))² + 50² - 2 * (CD - (CD + 50) / sqrt(3)) * 50 * cos(60)
d² = (CD² + 2 * CD * 50 / sqrt(3) + 2500 / 3) + 2500 - (CD² - CD * 50 / sqrt(3) + 2500 / 3)
d² = 10000 / 3 + CD * 100 / sqrt(3)
Finally, we can use the fact that angle ACB is 30° to find v. We can use the tangent function:
tan(ACB) = h' / (CD + DB)
tan(30) = (CD + 50) / sqrt(3) / (CD + DB)
1 / sqrt(3) = (CD + 50) / sqrt(3) / (CD + DB)
DB = CD - 50
DB = 2950 / v
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6)
The value of Tony's investment was $1140 on January 1st. On this date
three years later, his investment was worth $1824. The average rate of
change for this investment was $19 per
(1) day
(2) month
(3) quarter
(4) year
Answer:
Step-by-step explanation:
Average rate of change = (Ending value - Beginning value) / Time elapsed
Using the formula for the average rate of change, we get:
(1824 - 1140) / 1095 = $0.55 per day
(1824 - 1140) / 36 = $19 per month
(1824 - 1140) / 12 = $54 per quarter
(1824 - 1140) / 3 = $228 per year
Therefore, the average rate of change for Tony's investment was $19 per month.
low securitymedium securitymaximum securitytotalatlanta7016070300los angeles100150150400detroit155100245500total3254104651,200what is the appropriate degrees of freedom for this test?
Using the given data, we have r = 4 and c = 3. Therefore, the degrees of freedom would be (4-1)(3-1) = 6.
Explanation
The given data is in the form of a table, which represents the number of facilities in different locations with varying levels of security. To determine the appropriate degrees of freedom for this test, we need to know the type of statistical analysis that is being performed.
Since the question does not provide any context or information about the statistical analysis, we cannot determine the appropriate degrees of freedom. It is possible that the degrees of freedom may not even be relevant to the analysis being performed.
However, if we assume that a chi-square test is being conducted to determine whether there is a significant association between the location and the security level of facilities, then the appropriate degrees of freedom would be (r-1)(c-1), where r is the number of rows and c is the number of columns in the table.
In summary, the appropriate degrees of freedom for this test would be 6 if a chi-square test is being conducted to determine the association between the location and the security level of facilities.
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in a sample of 178 students at an australian university that introduced the use of plagiarism-detection software in a number of courses, 53 students indicated a belief that such software unfairly targets students. does this suggest that a majority of students at the university do not share this belief? test appropriate hypotheses at level 0.05.
a) The appropriate hypothesis testing are states as [tex]H_0 : p = 0.50[/tex]
[tex]H_a : p > 0. 50 [/tex]
b) The p-value for z-test is equals to the 0.000. Also, p-value < α.
c) Conclusion: Null hypothesis is rejected and there is evidence to support that more than 50% do not belief that such software unfairly targets students.
We have a sample of at an australian university that introduced the use of plagiarism-detection software.
Sample size = 178
Number of students who belief that such software unfairly targets student = 53
a) Null and alternative hypothesis are stated here as for right tailed t test.
[tex]H_0 : p = 0.05 [/tex]
[tex]H_a : p > 0.05[/tex]
sample proportion for students who does not belief that such software unfairly targets student [tex]\hat p = \frac {178- 53 }{178} [/tex] = 0.71
Now, test-statistic : [tex]t = \frac { \hat p - p} {\sqrt{ \frac{ p( 1- p)}{n}}}[/tex]
Substitute all the known values in above formula, [tex]= \frac {0.71 - 0.05} {\sqrt{ \frac{ 0.05( 1- 0.05)}{178}}}[/tex]
=> t = 41.25
b) Now, using Excel, the p-value for z
= 41.25 is 0.000. So, p-value < 0.05
Therefore, the Null hypothesis is rejected here.
c) Conclusion: there is evidence to support the claim that more than 50% do not belief that such software unfairly targets students.
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Complete question:
in a sample of 178 students at an australian university that introduced the use of plagiarism-detection software in a number of courses, 53 students indicated a belief that such software unfairly targets students. does this suggest that a majority of students at the university do not share this belief? test appropriate hypotheses at level 0.05.
a) State appropriate hypothesis
b) find p-value
c) draw conclusion
A store is having a sale, so an employee marks down some coats from $86.88 to $65.16. What is the discount (as a percent)?
Answer:The discount would be 25%.
Step-by-Step explanation:
1.In order for us to find out the discount we need to find how much the original price got cut off.Let’s use 86.88-65.16 the answer would be 21.72.
2.Now for us to find the discount we need to find out what part of a hundred is the discount.Let’s use 86.88/21.72 the answer would be 4.
3.So now we have a fourth of a hundred and a fourth of a hundred would be 25%.
Discount given=25%=21.72
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084
Answer:3,380
Step-by-step explanation:
we need to apply cross-multiplication to the ratio of chili preferences in the sample (60) against the total attendance (8450). This gives us:
(60/150) = (x/8450)
where x is the number of people in attendance who would prefer chili on a hot dog.
Simplifying this equation, we get:
x = (60/150) * 8450x = 3,380
what is the measure of one exterior angle of a polygon with 26 number of sides? round to one decimal place
Answer: The sum of the exterior angles of any polygon is 360 degrees.
The measure of one exterior angle of a regular polygon with n sides is given by the formula:
360/n
For a polygon with 26 sides, the measure of one exterior angle is:
360/26 = 13.8 degrees (rounded to one decimal place)
Step-by-step explanation:
helpp will give brainlest ASAPPPPPP
Answer:
1) She needs (35 × 2) + 8 = 78 inches
Find the exact value of cos (2theta), given tan A = -8/15, and theta lies in Quadrant II.
Please show steps and thank you in advance!
The value of cos (2tetha) is 161/289
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
Therefore if tan(tetha) = -8/15, therefore opposite is 8 and adj is 15
hyp = √8²+15²
= √ 64+225
= √ 289
= 17
therefore cos (tetha) = 8/17 and since theta is in second quadrant, cos tetha will be negative
cos (tetha) = -15/17
cos²(tetha) = 225/289
sin(tetha) = 8/17
sin²(tetha) = 64/289
cos(2tetha) = cos²(tetha) -sin²(tetha)
= 225/289 - 64/289
= 161/289
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Please help me area parallelograms
The required area of the given parallelogram is 9yd² respectively.
What is Parallelogram?A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
If one of the angles in a parallelogram is a right angle, then all four angles must also be right angles.
A four-sided figure is a trapezoid if it has at least one angle of a different measure in addition to at least one right angle.
So, the formula for the area of a parallelogram is:
A=bh
Now, insert values as follows:
A = bh
A = 9/2 * 2
A = 4.5*2
A = 9yd²
Therefore, the required area of the given parallelogram is 9yd² respectively.
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Find the value of sin Q rounded to the nearest hundredth, if necessary.
√95
P
7
To find sin(Q), we first calculated the length of the hypotenuse using the Pythagorean theorem. Then we used the sine function to find sin(Q) which is approximately 0.78 rounded to the nearest hundredth.
We can use the Pythagorean theorem to find the length of the third side, which is the hypotenuse
h = √(P² + Q²)
h = √(7² + √95²)
h = √(49 + 95)
h = √144
h = 12
Now, we can use the sine function to find sin(Q)
sin(Q) = opposite/hypotenuse = √95/12
Using a calculator, we get
sin(Q) ≈ 0.78
Rounding to the nearest hundredth, we get
sin(Q) ≈ 0.78
Therefore, the value of sin(Q) rounded to the nearest hundredth is 0.78.
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--The given question is incomplete, the complete question is given
" Find the value of sin Q rounded to the nearest hundredth, if necessary.
Q= √95
P= 7 "--
Solve the quadratic equation x² +9x = 0 by
factoring the GCF.
Answer: x=0 and x=-9
Step-by-step explanation:
convert 180⁰ in to grades
Answer: 9/10
Step-by-step explanation:
To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded. The table shows the summary statistics
The test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections for all candidates similar to the one in the investigation is given by t = 75 - 65 / [8 / √(50)], option (A) is correct.
The appropriate test to determine if there is a significant mean difference between the percent correct on the two sections is a two-sample t-test assuming equal variances.
The test statistic for this hypothesis test can be calculated using the formula:
t = x' / ([tex]s{p}[/tex] × √n')
where x' is the sample means for the first and second sections, respectively, [tex]s{p}[/tex] is the pooled standard deviation, and n' is the sample sizes for the first and second sections.
Using the information given in the question, we can calculate the values needed for the test statistic:
x₁ = 75, x₂ = 65, s₁ = 10, s₂ = 5, n' = 50
x’ = x₁ - x₂ = 75 - 65 = 10
The pooled standard deviation is given by [tex]s_{p}[/tex] = 8
We can calculate the test statistic:
t = (x') / [[tex]s_{p}[/tex] / √(n)]
t = 75 - 65 / [8 / √(50)]
Further simplifying:
t = 10 / [8 / √(50)]
t = 8.8356
Hence, option (A) is correct.
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– The question is incomplete, The complete question is:
To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded.
The summary of the statistics are as follows:
-For the first section, Mean Percent Correct is 75 and Standard Deviation Percent Correct is 10
-For the second section, Mean Percent Correct is 65 and Standard Deviation Percent Correct is 5
-The difference is, Mean Percent Correct is 10, and the pooled Standard Deviation Percent Correct is 8
Which of the following is the test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections (first minus second) for all candidates similar to the one in the investigation?
A) t = 75 - 65 / (8 / √(50))
B) t = 75 - 65 / [√(10² / 50 + 5² / 50)]
C) x² =(75 - 70)² / 70 + (65-70)² / 70
D) x² = (75-70)² / 65 + (65-70)² / 65
Visual work of 44. 4 divided by 100 with decimal moves
By division rule of fraction, dividing 44.4 by 100 results to 0.444, that is shifts three decimal places (to right).
We can divide 44.4 by 100 using simple rule of division.
Rewriting 44.4 in fractional form we get,
44.4 = 444/10
Dividing 444/10 by 100 we can write it in fractional form as 444/10*100.
Therefore, 44.4 divided by 100 in fractional form can be written as 444/1000.
Applying division rule of fractions,
Dividend is 444 and divisor is 1000.
Since the denominator of the fraction has three zeros (in divisor 1000) by properties of fraction the decimal place of the numerator shifts three places to its right.
Also something divided by one is the same value as its initial value.
Thus as 444 shifts to three decimal places (on its right) it becomes 0.444 as the denominator is 1*1000.
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1/2(2x squared + 17x + 30)
Answer: 14
Step-by-step explanation:
Answer: x^2 + 17x/2 + 15
Step-by-step explanation:
i promise this is right
Find the volume of a cylinder with a diameter of 28 meters and a height of 7 and one half meters. Approximate using pi equals 22 over 7.
210 cubic meters
1,575 cubic meters
4,620 cubic meters
The formula for the volume (V) of a cylinder is given by:
V = πr^2h
where r is the radius of the cylinder and h is its height.
We are given the diameter of the cylinder as 28 meters, so the radius (r) is half of that, or 14 meters.
Using the given height of 7 and one half meters, we can now calculate the volume of the cylinder as follows:
V = πr^2h = (22/7) * (14)^2 * (7.5) = 4,620 cubic meters (rounded to the nearest whole number)
Therefore, the approximate volume of the cylinder is 4,620 cubic meters.
Samuel is folding his laundry. The table shows the proportional relationship between the number of shirts he folds and the time, in minutes, it takes him to fold them.
Number of Shirts 2 4 ?
Time (minutes) 0.4 0.8 3
How many shirts can Samuel fold in 3 minutes?
21 shirts
15 shirts
8 shirts
6 shirts
I’d say 30 shirts.
Step-by-step explanation:
30 seconds = 3 shirts 1 minute 30 seconds = 9 shirts 30 seconds per each 3 shirts.
shirts: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30minutes: .5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5
Answer:
15 (B).
Step-by-step explanation:
I took the test.
Quiz Active
Does anyone know the answer
Answer:c the third one
Step-by-step explanation: because i did it!
25% off original price! The original price of a trampoline is $68. What is the sale price?
Answer: To find the sale price of the trampoline, you have to subtract 25% or a quarter of the original price ($68) from the original price ($68)
Step-by-step explanation:
To find a quarter of 68, you can simply divide this by 4 and now you have a quarter of the original price, $68. 68/4 = 17
Then you subtract a quarter of the original price from the original price.
68-17= sales price
68-17= 51
Sales Price = $51
Hope this helps :D