1. The 35% number is a parameter.
2. No, you are not guaranteed that 35% of your sample rides a bus to work each day.
3. Yes, the central limit theorem applies given the conditions are met.
4. The sampling distribution of the sample proportion follows an approximately normal distribution with a mean of 35% and a standard deviation determined by the formula: sqrt((p(1-p))/n), where p is the population proportion and n is the sample size.
1. The 35% number is a parameter. A parameter is a characteristic or measure of a population, and in this case, it represents the proportion of all factory workers who ride a bus to work each day. Parameters are typically estimated using sample statistics.
2. No, you are not guaranteed that 35% of your sample will ride a bus to work each day. While 35% is the proportion in the population, the proportion in any particular sample may vary due to random sampling. The sample proportion may differ from the population proportion due to sampling variability.
3. Yes, the central limit theorem (CLT) can be applied to the sampling distribution of sample proportions under certain conditions. The conditions for the CLT include having a random sample, independent observations, and a sufficiently large sample size. If these conditions are met, the sampling distribution of the sample proportions will approach a normal distribution.
4. The sampling distribution of the sample proportion of these 150 workers who ride a bus to work each day will be approximately normal. The shape of the distribution will be bell-shaped. The center of the distribution (the mean) will be equal to the population proportion, which is 35%. The standard deviation of the distribution, also known as the standard error, can be calculated using the formula:
Standard Error = sqrt[(p * (1 - p)) / n]
Where p is the population proportion (0.35) and n is the sample size (150).
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consider the points p such that the distance from p to as21, 5, 3d is twice the distance from p to bs6, 2, 22d. show that the set of all such points is a sphere, and find its center and radius.
The center of the sphere can be found by taking the average of the coordinates of points A and B, and the radius of the sphere is half the distance between points A and B.
Let's denote point A as (2, 1, 5) and point B as (6, 2, 22). We want to find the set of points P such that the distance from P to A is twice the distance from P to B.
We can express this condition mathematically as:
|PA| = 2|PB|
Using the distance formula, we can rewrite this equation as:
[tex]\sqrt{(x - 2)^2+ (y - 1)^2 + (z - 5)^2} = 2\sqrt{(x - 6)^2 + (y - 2)^2 + (z - 22)^2}[/tex]
Simplifying the equation, we have:
[tex](x - 2)^2 + (y - 1)^2 + (z - 5)^2 = 4((x - 6)^2 + (y - 2)^2 + (z - 22)^2)[/tex]
Expanding and combining like terms, we get:
[tex]3x^2 + 3y^2 + 3z^2 - 28x - 10y - 96z = 273[/tex]
This equation represents the equation of a sphere. The center of the sphere can be found by taking the average of the coordinates of points A and B, which gives us the center (4, 1.5, 13.5). The radius of the sphere is half the distance between points A and B, which is the square root of 273 divided by 2.
Therefore, the set of all points satisfying the given condition is a sphere with center (4, 1.5, 13.5) and radius √(273/2).
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what’s 741.38 to five decimal places?
Answer:
Step-by-step explanation:
If you're referring to moving the decimal point five places to the left, your answer should be
.0074138
If you're referring to the right, your answer should be
74138000.
use the image to answer the question.
A landscaper is building a triangular garden behind a house. The lot is bounded on one side by the house
that is 30 ft. long and on another side by a fence that is 50 ft. long. If the fence makes a 25° angle with the
house, how long is the third side of the garden? Round your answer to the nearest foot.
a. 26 ft.
b. 46 ft.
c. 69 ft.
d. 78 ft.
Answer: 26ft
Step-by-step explanation:
Which quadrant of a coordinate plane contains the point (-2,8) ?
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV
Answer:
Step-by-step explanation:
i think its C
A quadrilateral has interior angles a, 112 degrees, 97 degrees, and 83 degrees. Find the missing angle measure in the quadrilateral. 83° + 97° + a° + 112° = 360° 292° + a° = 360° The measure of the missing angle is °.
Answer:
The missing angle is 68 degrees
Step-by-step explanation:
Use the following graph to solve the equation 3n + 7 = 52
Answer:
[tex]3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15[/tex]
Graph is not inserted.
If a particular extrusion process is 94% efficient, how many linear feet of 1.7-in. diameter steel cable can be produced from a block of steel 10 ft long with a 16-in. by 16-in. cross section? The linear feet of the steel that can be produced is feet. (Round to the nearest foot as needed.) Enter your answer in the answer box and then click Check Answer
The linear feet of steel cable that can be produced is approximately 1,469 feet.
To find the linear feet of steel cable that can be produced, we need to calculate the volume of the block of steel and then consider the efficiency of the extrusion process.
1. Cross-sectional area of the block:
Cross-sectional area = (16 in.) * (16 in.) = 256 in²
Converted to square feet: 256 in² * 0.00694 ft²/in² = 1.77778 ft²
2. Volume of the block:
Volume = Cross-sectional area * Length = 1.77778 ft² * 10 ft = 17.7778 ft³
3. Usable volume after considering the efficiency:
Usable volume = Efficiency * Volume = 0.94 * 17.7778 ft³ = 16.7044 ft³
4. Cross-sectional area of the cable:
Cross-sectional area = π * (0.85 in.)²
Converted to square feet: Cross-sectional area = π * (0.85 in.)² / 144 in²/ft²
5. Linear feet of steel cable produced:
Linear feet = Usable volume / Cross-sectional area of the cable
Linear feet = 16.7044 ft³ / (π * (0.85 in.)² / 144 in²/ft²) = 1468.672 ft
Rounded to the nearest foot, the result is approximately 1,469 feet.
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This equation shows how the cost of a corporate team-building event depends on the number
of attendees d=5a + 3 the variable represents the number of attendees and the variable d represents the cost in dollars. If there are 3 attendees, how much will the corporate team-building event cost?
Which of the following has the greatest value.
Answer:
A.
Step-by-step explanation:
The first question equals 729 and it is the highest, I reccomend using photomath.
A company is reviewing a batch of 25 products to determine if
any are defective. On average, 3.1% of products are defective.
Does this situation describe a binomial experiment, and why?
What is the pr
The probability that the company will find 2 or fewer defective products in this batch is approximately 0.995. The probability that 4 or more defective products are found in this batch is approximately 0.005. The decision to stop production would depend on various factors and cannot be determined solely based on finding 5 defective products.
Yes, this situation can be described as a binomial experiment. A binomial experiment has the following characteristics:
It consists of a fixed number of trials or observations.Each trial has only two possible outcomes, success or failure.The probability of success remains constant for each trial.The trials are independent of each other.To calculate the probability that the company will find 2 or fewer defective products in this batch, we need to calculate the probabilities for each possible outcome (0, 1, and 2 defective products) and sum them up.
Let's denote the probability of finding a defective product as p, which is 3.1% or 0.031 in decimal form.
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\\P(X = 0) = C(25, 0) * p^0 * (1 - p)^{25 - 0}\\P(X = 1) = C(25, 1) * p^1 * (1 - p)^{25 - 1}\\P(X = 2) = C(25, 2) * p^2 * (1 - p)^{25 - 2}[/tex]
Using the binomial coefficient formula C(n, r) = n! / (r!(n - r)!), we can calculate these probabilities:
[tex]P(X = 0) = C(25, 0) * 0.031^0 * (1 - 0.031)^{25 - 0}\\ = 1 * 1 * (0.969)^{25}\\ = 0.643\\P(X = 1) = C(25, 1) * 0.031^1 * (1 - 0.031)^{25 - 1}\\ = 25 * 0.031 * (0.969)^{24}\\ = 0.295\\P(X = 2) = C(25, 2) * 0.031^2 * (1 - 0.031)^{25 - 2}\\ = 300 * 0.031^2 * (0.969)^{23}\\ = 0.057\\P(X \leq 2) = 0.643 + 0.295 + 0.057\\ = 0.995[/tex]
Therefore, the probability that the company will find 2 or fewer defective products in this batch is approximately 0.995.
To calculate the probability that 4 or more defective products are found in this batch, we can use the complement rule:
[tex]P(X \geq 4) = 1 - P(X \leq 3)\\P(X = 3) = C(25, 3) * 0.031^3 * (1 - 0.031)^{25 - 3}\\ = 2300 * 0.031^3 * (0.969)^{22}\\ = 0.040\\P(X \geq 4) = 1 - P(X \leq 3)\\ = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))\\ = 1 - (0.643 + 0.295 + 0.057 + 0.040)\\ = 1 - 0.995\\ = 0.005[/tex]
Therefore, the probability that 4 or more defective products are found in this batch is approximately 0.005.
If the company finds 5 defective products in this batch, it does not necessarily mean that they should stop production. The decision to stop production would depend on various factors such as the acceptable level of defects, the cost of production, the impact on customer satisfaction, etc. It would require a more comprehensive analysis to make a decision in this regard.
Complete Question:
A company is reviewing a batch of 25 products to determine if any are defective. On average, 3.1% of products are defective. Does this situation describe a binomial experiment, and why? What is the probability that the company will find 2 or fewer defective products in this batch? What is the probability that 4 or more defective products are found in this batch? If the company finds 5 defective products in this batch, should the company stop production?
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How does an online discussion group differ from one that is held face-to-face?
There is no need for group roles when holding online meetings.
Online discussion groups do not allow members to develop critical thinking skills.
Group members are more likely to bond together as a group online than they would when meeting face-to-face.
Facilitating an online conversation may require even more work, so that participants continue engaging with one
another online.
Answer: Online discussions have a better portrayal of other cultures
Step-by-step explanation:
Unless you are very antisocial then the only good thing that an online group shares is being able to stay safe from corona virus and the ability to speak with each other from different perspectives. Lets say hypothetically I was in a bear watching group where everybody took pictures and discussed bears. If I lived in North Michigan I would see black bears and brown bears. If I lived in more of an arctic region I would see polar bears. You can see how this would throw in a little more content to discuss. Which bears are bigger? Which bears live longer? Which bears have heavier coats? This obviously does not only apply to bears. Books, sports, video games, cars, and more all have different miniature cultures in different states or countries.
Answer:
Facilitating an online conversation may require even more work, so that participants continue engaging with one another online.
Step-by-step explanation:
Let U CC be a region containing D(0; 1) and let f be a meromorphic function on U, which has no zeros and no poles on aD(0; 1). If f has a zero at 0 and if Ref(z) > 0 for every ze aD(0; 1), show that f has a pole in D(0; 1).
It is proved that if f has a zero at 0 and if Ref(z) > 0 for every ze aD(0; 1), then f has a pole in D(0; 1).
The problem is based on Complex Analysis.
Let U CC be a region containing D(0; 1) and let f be a meromorphic function on U, which has no zeros and no poles on aD(0; 1).
If f has a zero at 0 and if Ref(z) > 0 for every ze aD(0; 1), we need to prove that f has a pole in D(0; 1).
We know that f is meromorphic function on U and we are given that it has a zero at 0. So, we can write the Laurent expansion of f around 0 as: f(z) = anzn+ ... + a1z + a0 + b1z + ... where an ≠ 0 and the expansion is valid in a deleted neighborhood of z=0. This implies that f(z) has a pole of order m at 0 where m is the largest non-negative integer such that am ≠ 0.
Suppose that m = 0 and f(z) has a removable singularity at 0 then by Riemann’s theorem f(z) is bounded in some deleted neighborhood of z = 0 which implies that Ref(z) ≤ M, a contradiction to Ref(z) > 0 for every ze aD(0; 1).
Hence, f(z) has a pole at 0. Therefore, f has a pole in D(0; 1). Hence, we have proved that if f has a zero at 0 and if Ref(z) > 0 for every ze aD(0; 1), then f has a pole in D(0; 1).
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1. A caterer charges a flat fee plus $8.50 per
person. If the total cost for a party of 65 people
was $601.50, how much would they charge for
a party of 150 people?
Answer:
$1,324
Step-by-step explanation:
$8.50 * 65 = $552.50. $601.50 - $552.50 = $49. So the flat fee would be $49.
$8.50* 150 = $1,275. With the flat fee it would be $1,275+$49 = $1,324.
Which expression is equivalent to
1/3b -7
Answer:
2/6b-7
Step-by-step explanation:
Answer:
1/3(b-21)
hope it helps :)
Decide whether it is possible for a triangle to have the three angle measures or three side lengths given.
If it is possible, then decide whether all such triangles are congruent.
Answer:
Step-by-step explanation:
the first one cant be a triangle
im pretty sure the second one can
the third one can
im pretty sure the fourth one cant
A right rectangular prism has a length of 12 ft, width of 5 1/2 ft, and height of 10 1/2 ft. What is the volume of the prism? Enter the answer in the box.
Answer: The answer is: 693 ft^3 or 693ft cubed
MY HEALTH TEACHER JUST DEFIED MATH APARENTLY 1+1=3 NOT 2
WHAT DOES SOMEONE SAY TO THAT
Answer:
I honestly am very confused
Step-by-step explanation:
Based on the graph below, what is the domain and range of the function?
Answer:
The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.
Step-by-step explanation:
Answer:
Domain = all real numbers
Range = y ≥ -4
Step-by-step explanation:
Domain is the x-values, and for parabolas it is almost always all real numbers.
Range is the y-values, and the lowest it gets is -4.
Find SQ?
Find m<QRS?
Answer:
6. 26. 7. 34
Step-by-step explanation:
6.) 13+13=26. 7.) 17+17=34
Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games in the cabinet, so she thinks she could bring a few more. Let x represent how many board games were in Anne’s cabinet to start. Which inequality describes the problem?
Answer:
x - 3 > 10
There were more than
13
board games in Anne's cabinet to start.
Step-by-step explanation:
The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.
And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.
This inequality shows the relationship.
x–3>10
Now, solve for x.
x–3
> 10
x–3+3
> 10+3 Add 3 to both sides
x
> 13 Simplify
So, there were more than 13 board games in Anne's cabinet to start.
trish wants to buy x oranges and y mangoes which she intends to carry in her bag. Her bag has space for only 6 fruits. Write an inequality to represent this information.
Answer:
x + y [tex]\leq 6[/tex]
Step-by-step explanation:
The amount of Oranges (x) and the amount of Mangoes (y) will add up to be less than or equal to 6.
This condition is represented by the inequality x + y ≤ 6
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
In this case, Trish wants to buy x oranges and y mangoes, and she intends to carry them in her bag.
Her bag can hold a maximum of 6 fruits.
Since she wants to buy both types of fruit, the total number of fruits must be less than or equal to 6.
The inequality to represent this situation is:
x + y ≤ 6
This inequality represents that the sum of the number of oranges and mangoes Trish buys should be less than or equal to 6, which is the maximum number of fruits her bag can hold.
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Using a standard deck of 52 cards, what is the probability that a
randomly dealt 6-card hand contains all hearts?
The probability that a randomly dealt 6-card hand contains all hearts is approximately 0.0000844, or about 0.00844%.
To calculate the probability of a randomly dealt 6-card hand containing all hearts, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes: A 6-card hand containing all hearts consists of 6 hearts from the deck.
There are 13 hearts in a standard deck of 52 cards, so we can choose 6 hearts from the 13 available. This can be calculated using combinations:
Number of favorable outcomes = C(13, 6) = 13! / (6! × (13 - 6)!) = 13! / (6! × 7!) = 1716
Total number of possible outcomes: The total number of 6-card hands that can be dealt from a standard deck of 52 cards is C(52, 6):
Number of possible outcomes = C(52, 6) = 52! / (6! × (52 - 6)!) = 52! / (6! × 46!) = 20358520
Therefore, the probability of a randomly dealt 6-card hand containing all hearts is:
Probability = Number of favorable outcomes / Number of possible outcomes = 1716 / 20358520 ≈ 0.0000844
So, the probability is approximately 0.0000844, or about 0.00844%.
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last question 100 pts pleasee
Sum of two interiors =Exterior
Use simple way
Angle beside x
180-(30+14)180-44136Measure of x
180-13644°Answer:
x = 44°
Step-by-step explanation:
According to the Exterior Angle Theorem of a triangle, the external angle is equal to the sum of the two interior opposite angles of a triangle.
This is because the interior angles of a triangle sum to 180° and angles on a straight line sum to 180°.
⇒ x = ∠CAB + ∠BCA
⇒ x = 14° + 30°
⇒ x = 44°
Proof
Interior angles of a triangle sum to 180°
⇒ ∠CAB + ∠ABC + ∠BCA = 180°
⇒ 14° + ∠ABC + 30° = 180°
⇒ ∠ABC = 180° - 14° - 30°
⇒ ∠ABC = 136°
Angles on a straight line sum to 180°
⇒ ∠ABC + x = 180°
⇒ 136° + x = 180°
⇒ x = 180° - 136°
⇒ x = 44°
Camden invested $260 in an account paying an interest rate of 4-1/8 % compounded annually. Evan invested $260 in an account paying an interest rate of 3-7/8 compounded continuously. After 13 years, how much more money would camden have in his account than Evan, to the nearest dollar
Answer:
$5500
Step-by-step explanation:
Find a formula for the nth term in this
arithmetic sequence
(picture is attached)
please help, thank you
Answer:
nth term: n+6
Step-by-step explanation:
a1 gives -7 and a2 gives -1. Let's compare these two numbers. From -7 to -1, we need a +6. Since -7 + 6 = -1.
a2 to a3, -1 + 6 = 5
a3 to a4, -5 + 6 = 11
I NEED HELP REALLY FAST AND EXPLAIN HOW YOU SOLVED IT PLEASE
Answer:
C
Step-by-step explanation:
All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.
If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25
i need help pleaseeee
Answer:
Step-by-step explanation:
Answer: -6,-7,-8 etc.
Step-by-step explanation: -2 times -6 = 12 bc a negative times a negative = a positive, and -2×-5=10 which is equal to 10 so if we try -6 it gives us 12 which is greater than 10.
Hope this helps!
Suppose you bought a sofa for a tota purchase price of $1,254.07. State taxes were 7%. What was the amount or the sales tax?
The amount of sales tax is $87.79.
Given a total purchase price of a sofa as $1,254.07 and state taxes of 7%.
We are required to calculate the amount of sales tax.
The amount of sales tax can be calculated by multiplying the purchase price by the sales tax rate.
Let's represent the sales tax rate by `r`.
Therefore, the sales tax formula is expressed as:
Sales tax = r * purchase price
In this case, the rate of the sales tax `r` is 7%.
Therefore, we have:r = 7% = 0.07
Now we substitute the values given into the formula:
Sales tax = 0.07 * $1,254.07= $87.79
Therefore, the amount of sales tax is $87.79.
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Question 6 of 20 :
Select the best answer for the question
6. The solution to 2 x 27 will be what kind of number?
A. Even
B. Odd
C. Prime
D. Perfect square
Mark for review (Will be highlighted on the review page)
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Answer:
The answer is A. (an even number)
Step-by-step explanation:
2 x 27 is equivalent to 54 and 54 is an even number.
If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. If you buy one ticket every month for five months, what is the probability that you will win at least one prize?
The probability of winning at least one prize when buying one ticket each month for 5-months is (c) 0.44.
In order to calculate the probability of winning at least one prize when buying one ticket each month for five months, we use the complement rule. The complement of winning at least one prize is not winning any prize.
The probability of not winning any prize in a single month is 1 - 0.11 = 0.89 (because the probability of winning a prize is given as 0.11),
Since the events of not winning a prize in each month are independent, the probability of not winning a prize in all five months is (0.89)⁵,
So, the probability of winning at least one prize is 1 - (0.89)⁵ ≈ 1 - 0.5570 ≈ 0.443 ≈ 0.44,
Therefore, the correct option is (c).
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The given question is incomplete, the complete question is
If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. If you buy one ticket each month for five months,
What is the probability that you will win at least one prize?
(a) 0.55
(b) 0.50
(c) 0.44
(d) 0.45
(e) 0.56