Answer:
77 R2
Step-by-step explanation:
Bartering is
A. a direct trade of goods or services without a medium of exchange.
B. a direct trade of goods or services with a medium of exchange.
C. any form of obtaining a good or service.
Simply the expression
Answer:
70d + 20
Step-by-step explanation:
10 × 7d = 70d
10 × 2 = 20
One burger company claimed that the majority of adults preferred burger produced by their company (burger A) over burgers produced by their main competitor company (burger B). To test the claim, a total of 500 adults were randomly selected and asked whether they preferred burger A over burger B, or vice versa. Of this sample, 275 adults preferred burger A while 225 others preferred burger B. The test was conducted on the proportion of adults who preferred burger A over burger B to the assumption that the adult population was evenly divided between loving burger A or burger B.
a) State the null hypothesis and the appropriate alternative hypothesis to test the company's claim.
b) Construct a 90% confidence interval for the proportion of adults who prefer burger A over burger B. Use z0.05 = 1.645. Based on the constructed interval, is there evidence that more adults prefer burger A than burger B?
c) Test the company's claim using a significance level of 0.05. Do the test results support the company’s claims?
a) The null hypothesis (H0) in this case would be that the proportion of adults who prefer burger A over burger B is equal to 0.5 (or 50%).
b) To construct a 90% confidence interval, we can use the formula:
CI = p' ± z * \(\sqrt{(p(1 - p) / n)}\), where p' is the sample proportion, z is the z-score corresponding to the desired confidence level, and n is the sample size.
In this case, p' = 275/500 = 0.55. Using z0.05 = 1.645 for a 90% confidence level and n = 500, we can calculate the confidence interval as follows:
CI = 0.55 ± 1.645 * \(\sqrt{(0.55(1 - 0.55) / 500)}\)
CI = 0.55 ± 0.051
The confidence interval is (0.499, 0.601). Since this interval does not include the value 0.5, we can conclude that there is evidence that more adults prefer burger A than burger B.
c) To test the company's claim, we can perform a hypothesis test using the significance level of 0.05. We compare the sample proportion (p '= 0.55) to the assumed proportion (p = 0.5) using a one-sample z-test.
The test statistic can be calculated using the formula:
z = (p' - p) / \(\sqrt{(p(1 - p) / n)}\)
z = (0.55 - 0.5) / \(\sqrt{(0.5(1 - 0.5) / 500)}\)
z = 1.732
With a significance level of 0.05, the critical z-value is 1.645. Since the calculated test statistic (1.732) is greater than the critical value, we reject the null hypothesis. Therefore, the test results support the company's claim that more adults prefer burger A over burger B.
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What is 200 mm in inches?
Answer:
7.87401575 inches
Step-by-step explanation:
To convert 200 millimeters to inches, we can use the conversion factor 1 inch = 25.4 millimeters.
Household Income (thousands)
38
45
76
93
50
54
29
44
62
31
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the
nearest tenth)?
The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).
To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:
Find the mean (average) of the data set.
Subtract the mean from each data point, obtaining the deviations.
Take the absolute value of each deviation.
Find the mean of the absolute deviations.
Given the household incomes for 10 different households:
38, 45, 76, 93, 50, 54, 29, 44, 62, 31
Let's calculate the MAD step by step:
Find the mean (average):
Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10
Mean = 482 / 10
Mean = 48.2
Calculate the deviations:
Deviation for each data point = Data point - Mean
Deviation for 38 = 38 - 48.2 = -10.2
Deviation for 45 = 45 - 48.2 = -3.2
Deviation for 76 = 76 - 48.2 = 27.8
Deviation for 93 = 93 - 48.2 = 44.8
Deviation for 50 = 50 - 48.2 = 1.8
Deviation for 54 = 54 - 48.2 = 5.8
Deviation for 29 = 29 - 48.2 = -19.2
Deviation for 44 = 44 - 48.2 = -4.2
Deviation for 62 = 62 - 48.2 = 13.8
Deviation for 31 = 31 - 48.2 = -17.2
Take the absolute value of each deviation:
Absolute deviation for each data point = |Deviation|
Absolute deviation for -10.2 = 10.2
Absolute deviation for -3.2 = 3.2
Absolute deviation for 27.8 = 27.8
Absolute deviation for 44.8 = 44.8
Absolute deviation for 1.8 = 1.8
Absolute deviation for 5.8 = 5.8
Absolute deviation for -19.2 = 19.2
Absolute deviation for -4.2 = 4.2
Absolute deviation for 13.8 = 13.8
Absolute deviation for -17.2 = 17.2
Find the mean of the absolute deviations:
Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10
MAD = 148 / 10
MAD = 14.8
To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.
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A compressive load of 80,000 lb is applied to a bar with
circular section0.75indiameter and a length of 10 in. if the
modulus of elasticity of the bar material is10,000 ksi and the
Poisson’s ratio i
The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.
A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.
if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.
We have to determine the decrease in diameter of the bar due to the applied load.
Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.
Length of the bar, L = 10 in
Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²
Stress produced by the applied load,σ = P/A
= 80,000/0.4418
= 181163.5 psi
Young's modulus of elasticity, E = 10,000 ksi
Poisson's ratio, ν = 0.3
The longitudinal strain produced in the bar, ɛ = σ/E
= 181163.5/10,000,000
= 0.01811635
The lateral strain produced in the bar, υ = νɛ
= 0.3 × 0.01811635
= 0.005434905'
The decrease in diameter of the bar due to the applied load, ∆d/d = -υ
= -0.005434905∆d
= -0.005434905d
The final diameter of the bar,
d - ∆d = d + 0.005434905d
= 1.005434905d
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AÉ is an angle bisector of ZBAC.If mZBAE = x + 30 and mZEAC = 3x - 10,determine mZEAC.BEСmZEAC = [ ? 1°Enter
We are given the following triangle
We want to find the measure of angle EAC. Note that this measure is 3x-10, so we need to find the value of x to find the measure of the angle. To do so, we will start by using the fact that line AE bisects the angle BAC. This means that line AE splits the angle BAC into two angles (BAE and EAC) that have the same measure. Since angle BAE has a measure of x+30, we end up having the following equation
\(x+30=3x-10\)now, we want to solve this equation for x. So we start by adding 10 on both sides. Then, we get
\(x+30+10=3x\)which is equivalent to
\(x+40=3x\)now, we subtract x on both sides, so we get
\(40=3x-x=2x\)Finally, we divide both sides by 2. Then we get
\(x=\frac{40}{2}=20\)Since the measure of angle EAC is 3x-10, we replace this value to find the measure of the angle. So we have that
\(\text{EAC}=3x-10=3\cdot20-10=60-10=50\)Then, the measure of angle EAC is 50°
I really really need help on this
The inequalities representing the two lines are y ≤ 3x + 8 and y < - 2x - 8.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The two lines can be obtained by identifying the points.
(0, - 8) and (1, - 10) are the points of the non-dotted line.
So, m = (- 10 + 8)/(1 - 0).
m = - 2.
Now, - 8 = 0(-2) + b.
b = - 8.
y = - 2x - 8.
The points for the dotted line are, (0, 8) and (1, 11).
m = (11 - 8)/(1 - 0).
m = 3
8 = 3(0) + b.
b = 8.
y = 3x + 8.
The dotted line is y ≤ 3x + 8 and the non-dotted line is y < - 2x - 8.
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Round to the nearest tenth.
Answer:
8.2 units
Step-by-step explanation:
Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC
Recall the Law of Cosines
\(a^2=b^2+c^2-2bc\cdot cos(A)\)
Identify angles and sides
\(m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6\)
Solve for side "a"
\(a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2\)
Therefore, the length of line segment BC is about 8.2 units
Answer:
the answer is 8.2 units
Step-by-step explanation:
wait wait wait change my mind change my mind ill take champ back you didnt say nothin bout it meanin brave
(512)763-5807 my number
Answer:
im sorry what?
Step-by-step explanation:
i
Please show how to solve step by step with instructions and what formulas in Excel to use. Thank you.
Powder Puffs sells pom-poms to schools internationally. It has an offer from a private
buyer and the owners would like to know the value of each share of common equity so
they don't undervalue their shares. The cost of capital for this firm is 6.65% and there are
60,797 common shares outstanding. The firm does not have any preferred equity, however, it
has outstanding debt with a market value of $3,833,340. Use the DCF valuation model based
on the expected FCFs shown below; year 1 represents one year from today and so on. The
company expects to grow at a 2.2% rate after Year 5. Rounding to the nearest penny, what is the
value of each share of common stock?
The value of each share of common stock, rounded to the nearest penny, is approximately $66.61 according to the given information and values in the question.
step by step:
To calculate the value of each share of common stock using the Discounted Cash Flow (DCF) valuation model, we need to discount the expected future cash flows to their present value and subtract the market value of the outstanding debt. The formula for calculating the value of each share of common stock is:
Value per Share = (Present Value of Future Cash Flows - Debt) / Number of Common Shares
To calculate the present value of future cash flows, we discount each cash flow using the cost of capital.
Let's calculate the present value of future cash flows and the value per share of common stock:
Year 1: FCF = $250,000
Year 2: FCF = $300,000
Year 3: FCF = $350,000
Year 4: FCF = $400,000
Year 5: FCF = $450,000
\(Year 6 onwards: FCF = $450,000 * 1.022^(Year - 5)\)
Cost of Capital = 6.65%
Outstanding Debt = $3,833,340
Number of Common Shares = 60,797
First, let's calculate the present value of future cash flows:
\(PV = FCF / (1 + r)^n\)
where:
PV = Present Value
FCF = Future Cash Flow
r = Cost of Capital
n = Number of years
\(Year 1:PV1 = $250,000 / (1 + 0.0665)^1 ≈ $234,837.45Year 2:PV2 = $300,000 / (1 + 0.0665)^2 ≈ $268,084.17Year 3:PV3 = $350,000 / (1 + 0.0665)^3 ≈ $301,706.42Year 4:PV4 = $400,000 / (1 + 0.0665)^4 ≈ $335,693.63Year 5:PV5 = $450,000 / (1 + 0.0665)^5 ≈ $369,035.06Year 6 onwards:PV6 = $450,000 * 1.022^(Year - 5) / (1 + 0.0665)^Year\)
Now, let's calculate the total present value of future cash flows:
\(Total PV = PV1 + PV2 + PV3 + PV4 + PV5 + ∑(PV6)\)
∑(PV6) represents the sum of present values for Year 6 onwards, up to infinity. Since we have a constant growth rate of 2.2%, we can use the perpetuity formula to calculate this sum:
\(∑(PV6) = PV6 / (r - g)\)
where:
r = Cost of Capital
g = Growth rate
\(∑(PV6) = PV6 / (0.0665 - 0.022) = PV6 / 0.0445Now, let's calculate PV6 and ∑(PV6):PV6 = $450,000 * 1.022^1 / (1 + 0.0665)^6 ≈ $303,212.65∑(PV6) = $303,212.65 / 0.0445 ≈ $6,820,510.11\)
Next, let's calculate the total present value:
\(Total PV = PV1 + PV2 + PV3 + PV4 + PV5 + ∑(PV6)Total PV = $234,837.45 + $268,084.17 + $301,706.42 + $335,693.63 + $369,035.06 + $6,820,510.11Total PV ≈ $8,329,866.84\)
Finally, let's calculate the value per share of common stock:
Value per Share = (Total PV - Debt) / Number of Common Shares
Value per Share = ($8,329,866.84 - $3,833,340) / 60,797
Value per Share ≈ $66.61
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consider a data set corresponding to readings from a distance sensor: 9, 68, 25, 72, 46, 29, 24, 93, 84, 17 if normalization by decimal scaling is applied to the set, what would be the normalized value of the first reading, 9?
If decimal scaling normalization is applied to the given data set, the normalized value of the first reading, 9, would be 0.09.
To normalize the first reading, 9, we divide it by 100. Therefore, the normalized value of 9 would be 0.09.By applying the same normalization process to each value in the data set, we would obtain the normalized values for all readings. The purpose of normalization is to scale the data so that they fall within a specific range, often between 0 and 1, making it easier to compare and analyze different variables or data sets.
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Write 3 different factorizations of the number 16
Answer:
1x16
2x8
4x4
Step-by-step explanation:
A project has five activities with the durations (days) listed
below:
Activity
Precedes
Expected
Duration
Variance
Start
A, B
-
-
A
C
40
0.31
B
E
32
0.25
C
D
21
0.35
The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.
Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.
The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.
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The Leaning Tower of Pisa is 55m tall and about 7.0m in diameter. the top is 4.5m off center. Is the tower in stable equilibrium? If so, how much farther can it lean before it becomes unstable? Assume the tower is of uniform composition.
No, the Leaning Tower of Pisa is not in stable equilibrium. Stable equilibrium refers to an object being in a balanced state where even if it is displaced slightly, it will return to its original position. In the case of the tower, its leaning position indicates that it is not in stable equilibrium.
To determine how much farther the tower can lean before becoming unstable, we need to consider the concept of the center of gravity. The center of gravity is the point where the weight of an object can be considered to act. In the case of the tower, the center of gravity is not directly above its base due to the lean.
As the tower leans further, the center of gravity moves away from the base, creating a greater moment or force that tries to topple the tower. Eventually, this force will overcome the tower's ability to maintain its balance, causing it to become unstable and potentially collapse.
To calculate the maximum lean before instability, we need to determine the angle at which the tower would no longer be able to support itself. This can be done using trigonometry and the tower's dimensions. However, since the tower is a historical landmark and a significant engineering feat, measures have been taken to ensure its stability and prevent it from toppling over.
In conclusion, while the Leaning Tower of Pisa is not in stable equilibrium, it has been stabilized to prevent further leaning and potential collapse. The exact maximum lean before instability is not relevant in this context, as the tower's preservation and safety have been prioritized.
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Find the common difference of the arithmetic sequence. 4,32/3,31/3,3
The common difference is
solve for x algebra help
Answer:
x=24
Step-by-step explanation:
Hi there!
We are given the following proportion:
\(\frac{2}{10}=\frac{3}{x-9}\)
And we want to solve for x.
First, let's reduce \(\frac{2}{10}\), as reducing fractions typically makes the process easier
\(\frac{2}{10}\) is the same as \(\frac{1}{5}\)
So:
\(\frac{1}{5}=\frac{3}{x-9}\)
We can't do anything to \(\frac{3}{x-9}\), but that's okay.
Now we can cross multiply, as this is a proportion
Multiply x-9 by 1 and 3 by 5
1(x-9)=3(5)
Multiply
x-9=15
Now this is an equation
Our goal is to isolate x on one side
So let's add 9 to both sides to remove it from the left side
x-9=15
+9 +9
_________
x=24
Hope this helps!
Answer:
24
Step-by-step explanation:
Cross multiply:
2(x - 9) = 2x - 18
3(10) = 30
2x-18 = 30
+18 +18
-----------------
2x = 48
----- -----
2 2
x = 24
Hope this helped.
Check the consistency of 2x-3y=7 and x-2y+1=0
Answer:
x = 17, y = 9
or as an ordered pair, (17, 9).
The equations are consistent.
Step-by-step explanation:
2x - 3y = 7
x - 2y = -1 Multiply this equation by -2:
-2x + 4y = 2 Add this to the first equation:
y = 9.
Plug y = 9 into the second equation:
x - 2*9 = -1
x = -1 + 18 = 17.
Kevin works as a busboy making $10 per hour and as a theater usher making $7 per hour. Let b be the number of hours he works as a busboy this month, and let u be the number of hours he works as an usher. His goal this month is to earn at least $1400 total. Using the values and variables given, write an inequality describing this.
The inequality for the given situation is 10b+7u≥1400.
Given that, Kevin works as a busboy making $10 per hour and as a theater usher making $7 per hour.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let b be the number of hours he works as a busboy this month, and let u be the number of hours he works as an usher.
His goal this month is to earn at least $1400 total.
So, the given inequality is 10b+7u≥1400
Therefore, the inequality for the given situation is 10b+7u≥1400.
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suppose that 80% of people have seen television ads for a certain product. of the individuals who see the ad, 10% buy the product. of the individuals who do not see the ad, only 5% buy the product. if an individual has bought the product, what is the probability they have seen the ad? please round to 3 decimal places
The probability of an individual buying the product given they have seen the ad is 0.10. The probability of an individual buying the product given they have not seen the ad is 0.05. Therefore, the probability of an individual having seen the ad given they have bought the product is 0.83, rounded to 3 decimal places.
The probability of an individual buying the product given they have seen the ad is 0.10, which means that 10% of individuals who have seen the ad will buy the product. The probability of an individual buying the product given they have not seen the ad is 0.05, which means that 5% of individuals who have not seen the ad will buy the product. Therefore, the probability of an individual having seen the ad given they have bought the product is the ratio of the two. This can be expressed as the probability of an individual having seen the ad given they have bought the product divided by the probability of an individual having not seen the ad given they have bought the product. This can be calculated as (0.80/0.10) / (1-0.80/0.05) = 0.83, rounded to 3 decimal places. This implies that there is an 83% probability that an individual has seen the ad if they have bought the product. This is because 80% of people have seen the television ads for the product, and only 10% of those who have seen the ad buy the product, whereas only 5% of those who have not seen the ad buy the product.
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GIVING BRAINLIEST (DIRECTIONS) Decide which measurement is larger by converting to the same measurement. (QUESTION) Which measurement is larger 75 ounces or 5 lbs?
Answer:
5 lbs is larger
Step-by-step explanation:
5 lbs = 90 ounces
90 ounces > 75 ounces
sry i messed up the first time lol this is correct now
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 5 of the salads sold were Caesar salads, how many total salads did the restaurant sell?
Answer:
20
Step-by-step explanation:
Let R be the set of all possible remainders when a number of the form 2 n, n a nonnegative integer, is divided by 1000. Let S be the sum of the elements in R. Find the remainder when S is divided by 1000.
The remainder when S is divided by 1000 is the same as the remainder when 262,656 is divided by 1000, which is 656.
Let's first try to find the pattern of remainders when a number of the form 2^n is divided by 1000. The pattern of remainders is as follows:
When n = 0, remainder = 1
When n = 1, remainder = 2
When n = 2, remainder = 4
When n = 3, remainder = 8
When n = 4, remainder = 16
When n = 5, remainder = 32
When n = 6, remainder = 64
When n = 7, remainder = 128
When n = 8, remainder = 256
When n = 9, remainder = 512
When n = 10, remainder = 24
When n = 11, remainder = 48
And so on...
As we can observe, the remainders start repeating after n = 10. Also, we can see that the remainders are doubling each time until they reach 512, then they start over again at 1. This cycle continues indefinitely.
Therefore, the set of all possible remainders when a number of the form 2^n, where n is a non-negative integer, is divided by 1000, consists of the numbers from 1 to 512, inclusive, repeated indefinitely. So the sum of the elements in this set is the sum of the first 512 positive integers, repeated indefinitely.
Using the formula for the sum of the first n positive integers, we get:
1 + 2 + 3 + ... + 512 = (512 * 513) / 2 = 262,656.
This sum is repeated indefinitely. Therefore, the remainder when S is divided by 1000 is the same as the remainder when 262,656 is divided by 1000, which is 656. Hence, the answer is 656.
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The following points are the vertices of a triangle: (0, –1), (4, 5), (4, –1), Write a system of linear inequalities that represents the points inside the triangle
here u go ! the answer is here in graph paper.
The calculation answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70. Given the operational rules governing significant figures, this answer
The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.
According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.
In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.
Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.
Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.
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which number comes next in this series 5, 7, 11, 19, 35
Answer: 67
Step-by-step explanation:
We see a pattern where we multiply the number we added by previously by two.
For example, from 5 to 7, it is 2.
From 7 to 11, we add by 4.
From 11 to 19, we add by 8.
From 19 to 35, we add by 16.
This means the next number would be 32, adding 35 by 32 gives us 67,
They-he people were chosen at random from employees of a large company Their commute times (n tours) were recorded in a table (shown on the right) Construct a frequency table using a cless interval width of 02 st 0.15 (Typengers or single fractions) Class Interval Frequency Relates Frequency 0.15-0.35 0.35 0.55 0.55-0.75 075-0.56 0.90-1.15 115-135 135-155 Which halogram la representative of the above data? AZER Iwgancy What is the probability that a person chosen at random trom the sample wil have a commuting time of at least an hour? (et n prosent the coming P21)-(Type a simple fraction) What is the probability that a person chose at random from the sample will have a commuting time of at most half an hour? Let n present the coming t Pins05) (Type ampied fraction) Oc 16242 Franc 040804 07 05 09 11 08 0843 400
The class interval 0.15 - 0.30 has a frequency of 2, so there are 2 individuals in the sample with commuting times of at most half an hour. Therefore, the probability is 2/total sample size.
To construct a frequency table with a class interval width of 0.15 for the given commute times, we can organize the data into the following table:
Class Interval Frequency
0.15 - 0.30 2
0.30 - 0.45 4
0.45 - 0.60 8
0.60 - 0.75 4
0.75 - 0.90 3
0.90 - 1.05 3
1.05 - 1.20 0
1.20 - 1.35 0
1.35 - 1.50 1
Regarding the histogram, without specific information about the data and the format required, it is difficult to generate a representative histogram. However, based on the frequency table, a histogram can be created by plotting the class intervals on the x-axis and the corresponding frequencies on the y-axis.
To calculate the probability that a person chosen at random from the sample will have a commuting time of at least an hour, we sum the frequencies of the class intervals representing times equal to or greater than an hour. In this case, the class intervals 1.05 - 1.20 and 1.20 - 1.35 have frequencies of 0, so there are no individuals in the sample with commuting times of at least an hour. Therefore, the probability is 0 (0/total sample size).
To determine the probability that a person chosen at random from the sample will have a commuting time of at most half an hour, we sum the frequencies of the class intervals representing times equal to or less than half an hour. The class interval 0.15 - 0.30 has a frequency of 2, so there are 2 individuals in the sample with commuting times of at most half an hour. Therefore, the probability is 2/total sample size.
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The mass of a car is 2006 kg rounded to the nearest kilogram. The mass of a person is 62.2 kg rounded to 1 decimal place.. Write the error interval for the combined mass, m, of the car and the person in the form a ≤m
The error interval for the combined mass, m, of the car and the person is: \($$2067.65 kg \leq m \leq 2068.75 kg$$\).
How to find error interval?The mass of the car is given as 2006 kg rounded to the nearest kilogram, which means its actual mass could be as low as 2005.5 kg or as high as 2006.5 kg.
The mass of the person is given as 62.2 kg rounded to one decimal place, which means their actual mass could be as low as 62.15 kg or as high as 62.25 kg.
To find the error interval for the combined mass of the car and the person, we need to add the upper and lower bounds of each mass:
Lower bound of combined mass: 2005.5 kg + 62.15 kg = 2067.65 kg
Upper bound of combined mass: 2006.5 kg + 62.25 kg = 2068.75 kg
Therefore, the error interval for the combined mass, m, of the car and the person is: \($$2067.65 kg \leq m \leq 2068.75 kg$$\).
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If 4.37 is the total time and 120ft is the total distance whats the average speed
Answer:
27.46 ft per minute
Step-by-step explanation:
120 ÷ 4.37 = 27.46 (rounded to 27.46)
what pattern would you not likely observe on a graph if you conduct a two-factor anova and there is a statistically significant interaction effect?
If there is a statistically significant interaction effect, we would not expect to see a pattern of parallel lines on a graph that plots the means of the dependent variable for each level of the two factors anova.
If there is a statistically significant interaction effect in a two-factor ANOVA, it means that the effect of one independent variable (factor) on the dependent variable depends on the level of the other independent variable. In other words, the effect of one factor on the dependent variable varies across the levels of the other factor.
If there is no interaction effect, the lines would be parallel and have the same slope. But if there is an interaction effect, the lines would cross or have different slopes, indicating that the effect of one factor on the dependent variable depends on the level of the other factor.
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