There are 134134 identical plastic chips numbered 11 through 134134 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is greater than 5353
Answers
The probability of reaching into the box and randomly drawing a chip number greater than 5353 is approximately 0.9996 or 99.96%.
To calculate the probability of randomly drawing a chip number greater than 5353 from the box, we need to determine the total number of chips that meet this condition and divide it by the total number of chips in the box.
The total number of chips in the box is given as 134,134.
Now, we need to find the number of chips numbered 53,54,...,134,134, which is greater than 5353.
Since the chip numbers range from 11 to 134,134, the numbers 1 through 53 (5353 - 11) are excluded.
Therefore, the number of chips that meet the condition is:
Total number of chips - Number of excluded chips = 134,134 - 53 = 134,081
The probability of drawing a chip number greater than 5353 is then:
Probability = (Number of chips with numbers greater than 5353) / (Total number of chips)
Probability = 134,081 / 134,134 ≈ 0.9996
Therefore, the probability of reaching into the box and randomly drawing a chip number greater than 5353 is approximately 0.9996 or 99.96%.
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Related Questions
HELP if a person runs 5 miles in 25 minute, how long will it take them to run 8 miles at the same rate?
Answers
Answer:1.6
Step-by-step explanation:
25/5=5
8/5=1.6
Answer:
40 MinutesStep-by-step explanation:
if 5miles = 25 minutes
then, 8 miles = X
hence X minutes
\(x = \frac{25minutes}{5miles} \times 8miles\)
X=40 minutesjacobs paints the outside of the rectangular primsim below, except for thr bottom the length is 9 cm and the width is 4/3. What is the total area that he paints?
Answers
Answer:
the area of triangle formula is A = B*H / 2
so it means 16 square = (x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4
Step-by-step explanation:
The wheels on a car have a diameter of 28 inches. How many full revolutions will the wheels need to make to travel 200 feet? OA. 8 revolutions B. 15 revolutions C. 28 revolutions D 88 revolutions
Answers
Answer: The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle. In this case, the diameter of the wheels is 28 inches, so the circumference of each wheel is:
C = π(28) = 28π inches
To find how many revolutions the wheels need to make to travel 200 feet, we need to convert 200 feet to inches, and then divide by the circumference of each wheel. There are 12 inches in 1 foot, so 200 feet is equal to:
200 feet × 12 inches/foot = 2400 inches
Dividing 2400 inches by the circumference of each wheel, we get:
2400 inches ÷ (28π inches/revolution) ≈ 85.3 revolutions
Therefore, the car's wheels need to make approximately 85.3 full revolutions to travel 200 feet. Since the question asks for the number of full revolutions, we can round down to the nearest whole number to get:
Answer: D. 88 revolutions.
Show why PX=2) = P(X= 3) in a binomial distribution where n = 5 and p=0.5. [3]
Answers
P(X = 2) is not equal to P(X = 3)
How to show that P(X = 2) = P(X = 3) in a binomial distribution with n = 5 and p = 0.5?To show that P(X = 2) = P(X = 3) in a binomial distribution with n = 5 and p = 0.5, we need to use the formula for the probability mass function (PMF) of a binomial distribution.
The PMF of a binomial distribution is given by the formula:
P(X = k) = C(n, k) *\(p^k * (1-p)^{(n-k)}\)
where n is the number of trials, k is the number of successes, p is the probability of success, and C(n, k) represents the binomial coefficient.
In our case, n = 5 and p = 0.5. Let's calculate P(X = 2) and P(X = 3) using the formula:
P(X = 2) = \(C(5, 2) * (0.5)^2 * (1-0.5)^{(5-2)}\)
= 10 * 0.25 * 0.125
= 0.3125
P(X = 3) = C(5, 3) * \((0.5)^3 * (1-0.5)^{(5-3)}\)
= 10 * 0.125 * 0.125
= 0.125
As we can see, P(X = 2) = 0.3125 and P(X = 3) = 0.125.
Therefore, P(X = 2) is not equal to P(X = 3) in this specific case of a binomial distribution with n = 5 and p = 0.5.
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Please answer using IRAC method for each question.
Please Identify all the issues.
Question 1
XYZ Pty Ltd (XYZ) called for tenders for supplies of seedlings for its’ iceberg lettuce farm with a closing date of 30 June. The following tenders were submitted: 1. Lettuce R Us Pty Ltd hand-delivered its tender on 29 June to the head office of XYZ. 2. We Grow Pty Ltd posted its tender on 29 June. This letter arrived at XYZ head office on 1 July. Lettuce R Us Pty Ltd’s tender was the lowest of the two, however, XYZ awarded the contract to We Grow Pty Ltd because of their outstanding reputation. XYZ posted a letter to We Grow Pty Ltd advising that its tender was successful. Unfortunately, this letter never reached We Grow Pty Ltd because it was accidentally destroyed by a disgruntled postal worker who had just been made redundant. Since We Grow Pty Ltd had not heard from XYZ, it instead entered into a contract with another grower and committed its full stock of seedlings to this contract. XYZ became aware of the full situation concerning We Grow Pty Ltd. It seeks advice concerning its contractual position in relation to both tenders.
Question 2
Joseph leased a shop in the Central Shopping Centre for the past three years. Joseph is very concerned about his health and he has been diagnosed as suffering from a disease that will result in him requiring constant care in the near future. The lease on the shop was about to expire and the manager of the shopping centre, Thomas, told him that he had ‘better decide quickly’ whether he wanted to renew his lease because there were two other potential tenants who would take his space ‘at a moment’s notice’. Despite being aware of Joseph’s illness and needs, Thomas would only offer Joseph a new five-year lease at a substantially higher rent. Joseph really wanted to retire to look after his health but felt like he could not afford to give up the income from the shop. He reluctantly signed the new lease. One year later Joseph received a large payout from a legal claim and could now afford to retire. Advise Joseph whether he is able to avoid the lease at common law.
Question 3
Michael is a director of Road Bikes Pty Ltd (RB) which has developed sophisticated engineering for manufacturing high quality handmade road bikes. RB has attracted attention from professional and amateur cyclists’ around the State of Queensland. Michael is involved in a serious cycling accident and is left no choice but to sell RB. George is a world champion cyclist and is immediately interested in purchasing the business. George prepares a contract for the purchase of RB and hands the contract to Michael. The contract includes a term that would prevent Michael from opening another road bike manufacturing business anywhere in Australia for the next 25 years. Michael and George sign the contract. Michael quickly recovers from his accident and wants to know whether there is any way he can set up a new bike manufacturing business under common law. Advise Michael.
Answers
The issues in this scenario include the validity of Lettuce R Us Pty Ltd's tender, the late delivery of We Grow Pty Ltd's tender, the awarding of the contract to We Grow Pty Ltd based on reputation, and the destruction of the acceptance letter by a postal worker.
The issues in this scenario include whether Joseph can avoid the lease due to Thomas' conduct, the impact of Joseph's illness on the lease negotiation, and the validity of the new lease agreement.
The issues in this scenario involve the inclusion of a non-compete clause in the contract between Michael and George, and whether Michael can set up a new bike manufacturing business under common law.
In Question 1, the issues revolve around the validity of Lettuce R Us Pty Ltd's tender and the late delivery of We Grow Pty Ltd's tender. Additionally, the awarding of the contract based on reputation and the destruction of the acceptance letter raise concerns about contract formation and communication of acceptance.
In Question 2, the issues include Thomas' conduct in pressuring Joseph to renew the lease, the impact of Joseph's illness on the lease negotiation, and the validity of the new lease agreement in light of these factors.
In Question 3, the issue centers around the inclusion of a non-compete clause in the contract and whether Michael can set up a new bike manufacturing business under common law despite the restriction.
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Marissa is standing next to an 18-foot tall flagpole that is casting a 12 foot long shadow. If Masissa's shadow is 3 1/2 feet long, how tall is marissa?
Answers
Answer: 5.25ft
Step-by-step explanation:
See picture
Answer:
5'2"
Step-by-step explanation:
Each student in Mr. Kelly's shop class needs a piece of wood13-foot long to complete a project. Mr. Kelly has one piece of wood that is716-foot long.How many pieces that are exactly13-foot long can be made from Mr. Kelly's longer piece of wood?
Answers
From Mr. Kelly's longer piece of wood, he can make 55 pieces that are exactly 13 feet long.
To calculate the number of 13-foot pieces that can be made from the longer piece of wood, we need to divide the length of the longer piece by the length of each individual piece. In this case, the longer piece of wood is 716 feet long, and each student needs a piece of wood that is 13 feet long.
Dividing 716 by 13 gives us the quotient of 55.0769. Since we cannot have a fraction of a piece, we round down to the nearest whole number, which is 55. Therefore, Mr. Kelly can make 55 pieces that are exactly 13 feet long from the longer piece of wood.
It's important to note that rounding down means that there may be some leftover wood after making the 55 pieces. In this case, the remaining wood would be less than 13 feet long.
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Sarah bought two t-shirts and one sweatshirt. The t-shirts cost $\$15.22$ each. If Sarah spent a total of $\$67.94,$ how many dollars did the sweatshirt cost
Answers
Answer: $37.50
Step-by-step explanation:
Two random samples of 25 people were asked how many 12-ounce cans of soda they consume each week. The first sample contained both males and females, aged 12-19. The second sample contained both males and females, aged 20-39. The results are shown in the table below. Using complete sentences, make one inference comparing the two groups, and explain your reasoning.
Answers
Answer:
One inference that can be made is that the age group of 12-19 consume more sodas than the age group of 20-39.
Step-by-step explanation: ok sooooo
The required individuals aged 20-39 consume more 12-ounce cans of soda per week than individuals aged 12-19.
What is mathematical reasoning?Mathematical reasoning is the process of using logical thinking and mathematical concepts to solve problems, prove theorems, and develop mathematical models. It involves identifying patterns, making conjectures, and using deductive reasoning to arrive at logical conclusions based on given assumptions.
Based on the information given in the table, it can be inferred that individuals aged 20-39 consume more 12-ounce cans of soda per week than individuals aged 12-19. This inference can be made because the mean and median values of the second sample (aged 20-39) are higher than those of the first sample (aged 12-19). Specifically, the mean for the second sample is 8.6 cans of soda per week, while the mean for the first sample is 6.96 cans of soda per week. Similarly, the median for the second sample is 8 cans of soda per week, while the median for the first sample is 5 cans of soda per week.
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determine the slope between -2,6 3,4
Answers
Line A Is Parallel To Line B. If The Measure Of Z7 Is 114”, What Is The Measure Of 3
Answers
Answer:
114°
Step-by-step explanation:
because they are parallel they have the same measure
The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.
What are correspondence angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.
In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.
From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-
∠7 = ∠3
114 = ∠3
Therefore, angle 3 will be 114°.
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ARE THESE TRIANGLES CONGRUENT?
Answers
Answer:
yes
Step-by-step explanation:
because if you flip on top of the other they fit together
Answer:
fax they are fr fr
Step-by-step explanation:
they have the same angles and everything just because something is flipped doesn't mean that it is a different object
On a test called the MMPI-2, a score of 30 on the Anxiety Subscale is considered
very low. Felipe participates in a yoga group at his gym and decides to give this
subscale to 18 people in his yoga group. The mean of their scores is 35.2, with a standard deviation of 10.4. He wants to determine whether their anxiety scores are statistically equal to 30.
What are the groups for this one-sample t-test?
What is the null hypothesis for this one-sample t-test?
What is the value of "?
Should the researcher conduct a one- or two-tailed test?
What is the alternative hypothesis?
What is the value for degrees of freedom?
What is the t-observed value?
What is(are) the t-critical value(s)?
Based on the critical and observed values, should Felipe reject or retain the null
hypothesis? Does this mean that his yoga group has scores that are above 30, below 30, or
statistically equal to 30?
What is the p-value for this example?
What is the Cohen’s d value for this example?
If the " value were dropped to .01, would Felipe reject or retain the null hypothesis?
Calculate a 42% CI around the sample mean.
Calculate a 79% CI around the sample mean.
Calculate a 95% CI around the sample mean.
Answers
The MMPI-2 test is used for the assessment of psychopathology and personality of patients.
It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.
A score of 30 or less is usually considered very low.
The questions are answered by the patient, usually in a clinical or research setting.
A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.
The following are the parameters of the one-sample t-test:Groups:
18 participants
Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30
Type of test: One-tailed test
Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.
Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734
Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5
If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).
For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13
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I might need some help with this question lol
Answers
The volume of the box is 72 cubic feet.
We have,
To find the volume of the box, we need to multiply its length, width, and height.
Given:
Length = 4 ft
Breadth = 6 ft
Height = 3 ft
The volume of the box is:
Volume = Length x Breadth x Height
Volume = 4 ft x 6 ft x 3 ft
Volume = 72 cubic feet
Therefore,
The volume of the box is 72 cubic feet.
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Which could be the first step in solving the equation represented by the model below? HELP PLZ
Answers
Answer:
take away four from both -4
Answer:
add 4 negative unit tiles to both sides
Step-by-step explanation:
took test on edge
The table shows the amount of green paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Green Paint Quarts of White Paint
3 6
4 8
5 10
6 12
Which statement is true about the ratio of green paint to white paint in the paint color? (4 points)
a
It is 1:2.
b
It is 2:1.
c
It is 1:3.
d
It is 3:1.
Answers
Answer: The answer is A: 1:2.
A red, blue, and green die are thrown. Each die has six possible outcomes. How many outcomes are possible in which the three dice all show different numbers
Answers
The total number of outcomes where all three dice show different numbers is 120.
To determine the number of outcomes in which all three dice show different numbers, you can use the multiplication principle. First, choose a number on the red die (6 options). Then, choose a different number on the blue die (5 options, since it cannot be the same as the red die). Finally, choose a different number on the green die (4 options, since it cannot be the same as the red or blue die). Multiply the options together: 6 x 5 x 4 = 120. Therefore, there are 120 possible outcomes in which the three dice all show different numbers.
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what is the greatest common factor shared by 51 and 21
Answers
a quality-control inspector examined 290 iphones and found 9 of them to be defective. at this rate, how many defective iphones will there be in a batch of 16,530 iphones?
Answers
The total number of defective iphones from a batch of 16,530 iphones is equal to 513 .
Total number of iphones examined by quality-control inspector =290
Total number of iphones in a batch = 16,530
Number of iphones defective out of 290 = 9
Let us consider x be the number of defective iPhones in the batch of 16,530 iPhones.
Use proportions to find out how many defective iPhones there will be in a batch of 16,530 iPhones.
The proportion of defective iPhones in the sample of 290 iPhones is,
= 9/290
Proportion of defective iPhones in a batch of 16,530 iPhones,
Set up a proportion,
9/290 = x/16530
To solve for x, we can cross-multiply,
⇒ 9 x 16530 = 290 x
⇒ 148,770 = 290 x
⇒ x = 513
Therefore, there will be approximately 513 defective iPhones in a batch of 16,530 iPhones.
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The formula for the cot of buying a car i cot = 12 x monthly payment depoit. The cot of a car i 8000. Find the monthly payment when the depoit i 2600
Answers
The monthly payment amount is (8000 - 2600) / 12 = $500.
1. The cot of a car is given as 8000. The depoit is given as 2600.
2. The formula for the cot of buying a car is cot = 12 x monthly payment depoit.
3. To find the monthly payment, we can rearrange the formula to monthly payment = (cot - depoit) / 12.
4. Substituting in the values, we get monthly payment amount = (8000 - 2600) / 12 = $500.
The cost of a car can be calculated using a simple formula. The formula is cot = 12 x monthly payment deposit. In this case, the cost of the car is given as 8000 and the deposit is given as 2600. To find the monthly payment, we can rearrange the formula to solve for the monthly payment amount. This gives us the equation monthly payment = (cot-deposit)/12. When we plug in the given values, we get monthly payment = (8000-2600)/12 = $500. This means that the monthly payment amount for this car is $500.
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Given: CF bisects AD.47°B479DFWhich triangle congruence theorem or postulatecould be used to prove AABC = ADBF?O Angle-Side-Angle (ASA)Side-Side-Side (SSS)Side-Angle-Side (SAS)Angle-Angle-Side (AAS)
Answers
1) First, from the picture we see that we have two equal angles: ∠A = ∠D = 47°.
2) Secondly, We also know that the line CF bisects AD.
3) Finally, the two opposite angles of B are equal, we call these angles ∠B.
From (1)-(2)-(3) we conclude that the answer is: angle-side-angle (ASA).
For example, we have the side/line AB between angles ∠A and ∠B.
which of the following is appropriate when the research objective is dscription? a. averages. b. confidence intervals. c. cross tabulation. d. anova.
Answers
When the research objective is description, the appropriate method would be cross tabulation.
This method involves the tabulation of data according to two variables in order to describe the relationship between them. Averages and ANOVA are more appropriate for inferential purposes, while confidence intervals are used to estimate a population parameter with a certain degree of confidence. Therefore, cross tabulation would be the most appropriate method for describing relationships between variables. Cross tabulation, also known as contingency table analysis, is indeed a suitable method for descriptive research objectives. It allows for the examination of the relationship between two or more categorical variables by organizing the data in a table format.
By using cross tabulation, researchers can summarize and analyze the frequencies or proportions of the different combinations of categories within the variables of interest. This method provides a clear and concise way to describe and understand the patterns and associations between variables.
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Find the area of this semi-circle with diameter, d = 95cm
Answers
Answer:
3545.53
Step-by-step explanation:
See in the figure given above
PLEASE HElP ASAP 10 PTS, BRAINLEST ANSWER
Indicate the equation of the given line in standard form. Show all of your work for full credit.The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).
Answers
Answer:
is there more in the question
Lindsey's Cafe uses 5 bags of coffee every day. How many days will 1/2 of a bag of coffee last?
Answers
When she uses 5 bags of coffee every day at her café, half of a bag of coffee lasts for 10 days.
What is division?Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example.
Here,
number of bags needed in a day=5
number of days 1/2 bag last,
=5÷1/2
=10 days
Half of bag of coffee last for 10 days when she uses 5 bags of coffee every day in her café.
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When two angles and a non-included side of one triangle are congruent to the corresponding pieces of another triangle?
Answers
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
We know that the AAS (angle-angle-side) theorem says that when two angles and any side of a triangle are congruent to two angles and any side of other triangle, then the triangles are said to be congruent.
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Whereas the Angle-Angle-Side Postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
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rack heights vary from a few rack units to many rack units. the most common rack heights are 24u and 42u. how tall is a 24u rack?
Answers
A 24U rack is approximately 44.5 inches (113.03 cm) tall.
What is Expression in math ?
An expression is made up of one or more integers or variables, as well as one or more operations.
The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.
1U is equal to 1.75 inches (4.45 cm)
so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).
However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.
Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.
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Sam walks from home to his school which is 0.75 miles away in 12 minutes. How fast was he walking?
Answers
Answer:
v = 3.75 mph
Step-by-step explanation:
Constant speed motion
An object travels at a constant speed if the ratio of the distance traveled by the time taken is constant.
Expressed in a simple equation, we have:
\(\displaystyle v=\frac{d}{t}\)
Where
v = Speed of the object
d = Distance traveled
t = Time taken to travel d.
Sam walks from home to school for a distance of d=0.75 miles in t=12 minutes. To calculate the speed, we need to convert the time to hours.
t=12/60 = 0.2 hours. Now compute the speed:
\(\displaystyle v=\frac{0.75\ mi}{0.2 \ h}\)
v = 3.75 mph
Answer:
I hope this helps.
Step-by-step explanation:
The difference of the same side interior angles of two parrelels lines is 50 degrees find all angles
Answers
Answer:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
Step-by-step explanation:
Angle 1: Same-side interior angle of Line 1
Angle 2: Same-side interior angle of Line 2
We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:
Angle 1 + Angle 2 = 180
Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:
Angle 1 - Angle 2 = 50
We can rewrite this equation as:
Angle 1 = 50 + Angle 2
Now substitute this expression for Angle 1 into the first equation:
(50 + Angle 2) + Angle 2 = 180
Combine like terms:
2Angle 2 + 50 = 180
Subtract 50 from both sides:
2Angle 2 = 130
Divide by 2:
Angle 2 = 65
Now substitute this value back into the equation for Angle 1:
Angle 1 = 50 + Angle 2
Angle 1 = 50 + 65
Angle 1 = 115
Therefore, the angles are as follows:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
imagine that we are interested in 1 bed and 1 bath condos in the pacific heights neighborhood of san francisco. let's say that the empirical distribution of the mean square footage generated via bootstrapping is roughly normal with a mean of 883 sqft and a standard deviation of 270 sqft. what range of square footage values would contain 95% of the data?
Answers
The range of the square footage values for the given mean , standard deviation and 95% confidence interval is equal to (1257.26 , 508.74).
As given in the question,
Sample size 'n' = 2
Sample mean '\(\bar{x}\)' = 883 sq ft
Standard deviation 'σ' = 270 sq ft
95% confidence interval.
95% confidence interval = 1 - 0.95
= 0.05
Critical value for 95% is \(Z_{0.05}\) = 1.96
Population mean for the given confidence interval is given by :
= \(\bar{x}\) ± \(Z_{0.05}\) (σ / √n)
= 883 ± 1.96 ( 270 / √2)
= 883 ± 374.26
= ( 1257.26 , 508.74 )
Therefore , the range of the square footage values for the 95% confidence interval is equal to ( 1257.26 , 508.74 ).
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