df = [\((s1^2/n1+s2^2/n2)^2/{1/n1-1 (s1^2/n1)^2+1/n2-1(s2^2/n2)^2}].\)
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.
If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. Another term for probability in statistics is confidence.
The 95%
\(c.i=(x1bar-x2bar)-zalpha/2 SE, assuming both n1 and n2 are greater than 30, SE=sqrt[sigma1^2/n1+sigma2^2/n2]\)
=(68.72222-66.45833)-1.96 SE
=2.26389-1.96 SE,
The 95%
\(c.i=(x1bar-x2bar)-talpha/2 SE, where, SE=sqrt (s1^2/n1+s2^2/n2),\)
and both n1 and n2 are less than 30,
t critical is computed at alpha/2,
and
df= \((s1^2/n1+s2^2/n2)^2/{1/n1-1 (s1^2/n1)^2+1/n2-1(s2^2/n2)^2}].\)
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The table shows the highest point of elevation of 5 different states. How much higher is the highest point of elevation in Colorado than Texas ?
Answer:
where is the table
Step-by-step explanation:
1+1+2+3+4+5+6+7+8+9+10
Answer:
56
Step-by-step explanation:
Find the slope of the line that passes through
(-4, 7) and (-6, -4)
Answer:
The slope of the line is 11/2
remember, rise over run.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
\(m=\frac{11}{2}\)
Step-by-step explanation:
Please help me on thisss
Answer:
Step-by-step explanation:
Substitute the value for x.
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
suppose our student center published data that the average starting salary for college graduates is 59k. you randomly sampled 49 college graduates and calculated the sample average salary is 44k. what test can you use to check whether the true average is 59k?
To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.
What is an Average?In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.
Equating :
It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.
When we analyze the given question, we find that,
The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.
Thus, in the present question we will use the One- sample T-test.
We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.
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What is
Mean
Medium
And Mode
Answer:
mean is the average value in the list.
first you add all number, then divide that value by the total number in the list
lets say (2,3,4,5)
you add 2+3+4+5 = 15 / 4
4 is the count
you'll get the average.
medium is the middle value in the list, but you should list from least to greatest
mode is repeated value in the list
Answer:
Step-by-step explanation:
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.
The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
Your mom is building a garden around a fountain she has a space marked out but decides she wants to enlarge it without altering the center of it what type of transformation is this
Answer:
u didnt give out the choses but it might be a chance to be dilation
Step-by-step explanation:
"the action or condition of becoming or being made wider, larger, or more open."
since she enlarge it without altering the center of it
The one-to-one functions g and h are defined as follows.g={(-9, -3), (2, -5), (3, -6), (5, 2)}h(x) = 4x -13Find the following.
We have been given the domain-range pairs of the function g.
We have a pair of domain-range pair as (5, 2)
Therefore,
\(\begin{gathered} g^{-1}(2)=5 \\ \text{The }g^{-1}\text{ refers to the inverse and indicates that the domain and range places are } \\ interchanged. \\ \text{The range and domain of }g^{-1}\text{ is the domain and range of g respectively} \end{gathered}\)Next, we find
\(\begin{gathered} h^{-1}(x)\text{ where h(x)=}4x-13 \\ We\text{ can call h(x) = y} \\ \text{therefore, y = }4x-13 \\ \text{Making x the subject of the formulae yields} \\ y+13=4x\text{ | Adding 13 to both sides} \\ x=\frac{y+13}{4}\text{ | Dividing both sides by 4} \\ h^{-1}(x)=\frac{y+13}{4} \\ \text{Lastly, we interchange y with x} \\ h^{-1}(x)=\frac{x+13}{4} \end{gathered}\)Lastly, we find:
\(\begin{gathered} (h.h^{-1})(x)=\frac{x+13}{4}\times4x-13 \\ (h.h^{-1})(1)=\frac{1+13}{4}\times4(1)-13 \\ (h.h^{-1})(1)=\frac{14}{4}(4-13) \\ (h.h^{-1})(1)=\frac{14(-9)}{4}=-\frac{63}{2}=-31.5_{} \end{gathered}\)What is the difference between F factor transfer and Hfr transfer?
F factor transfer and Hfr transfer are both types of bacterial conjugation, a process by which genetic material is transferred between bacterial cells through direct cell-to-cell contact. The key difference between the two is the origin of the donor bacterial cell.
In F factor transfer, the donor cell carries a plasmid called the F factor, which contains the genes necessary for conjugation. These plasmids can be transferred to recipient cells, which become F+ (carrying the F factor). The transfer is typically unidirectional, with the donor cell remaining F+. This type of transfer is referred to as F-plasmid or F-factor-mediated conjugation.
In contrast, Hfr (high-frequency recombination) transfer occurs when the F factor is integrated into the bacterial chromosome of the donor cell. As a result, the donor cell becomes an Hfr cell, and conjugation can occur between the Hfr cell and a recipient cell.
During Hfr transfer, the entire bacterial chromosome of the donor cell is transferred to the recipient cell in a unidirectional manner. However, due to the nature of the process, it is typically incomplete, resulting in only partial transfer of the genetic material. The recipient cell does not become Hfr but may acquire some of the transferred genes.
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Bob's monthly net income is $3,000. Bob pays $950 for rent, $250 for all
utilities, and $1,850 in other fixed and variable expenses. What is Bob's
cash flow?
A.Negative cash flow, $50
B.Negative cash flow, $3,050
C.ositive cash flow, $3,050
D.Positive cash flow, $50
Answer:
A: Negative cash flow, $50
Step-by-step explanation:
Bob makes $3000 a month.
Every month he has to pay $950:
3000 - 950 = 2050
Pay an additional $250:
2050 - 250 = 1800
And another additional $1850:
1800 - 1850 = -50
Therefore, he has a negative cash flow of $50 a month.
what is the center and radius of a circle with an equation (x+5)2 +(y-1)2 = 64
Answer: x = -y+28
Step-by-step explanation:
-64 = O A. 4 or -4 O B. -4 O C. - 8 O D. -16
Answer:
B
Step-by-step explanation:
The cube root of -64 can only be -4
MARKING BRAINLEIST IF YOU ARE RIGHT!!
Answer: 1 1/14
Step-by-step explanation: sorry if im wrong
Identify the equation of the line graphed
A
B
C
D
A. x + 2y = -2
B.
x-2y = 2
C. 2x + y = -1
D. 2x-y = 1
Graph A
Graph B
Graph C
ORE
2
.
Graph D
Graph E
ū v
Answer:
a
Step-by-step explanation:
please help me with this question.
Answer: The last option.
Step-by-step explanation:
The statement that can be used to prove that vertical angles ∠1 and ∠3 are congruent is;
m∠1 + m∠2 = m∠2 + m∠3
This is because we know that m∠1 + m∠2 is a straight line and that m∠2 + m∠3 is a straight line. Straight lines are equal to 180 degrees, so the vertical angles must be congruent.
A book costs euro 10.00 in germany. a canadian bookshop owner buys it in canadian dollars (1 cad = 0.65 euros) and sells it to a us customer for usd 35. if usd 1.00 = 0.85 euro, what is the percentage of profit for the shop owner?
The percentage profit for the shop owner is 197.6%.
What is percentage profit?Percentage profit is the ratio of the profit on a good or item and the the cost price expressed as a percentage.
Percentage profit = profit/cost price * 100%The cost price of the book in US dollars will be: 10 * 1/0.85 = 11.76 USD
Selling price in USD = 35 USD
Profit = 35 - 11.76
Profit = 23.24 USD
Percentage profit = 23.24/11.76 * 100%
Percentage profit = 197.6%
In conclusion, the percentage profit is the profit expressed as a percentage of the cost price.
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I am thinking of a number. If you add 3 to the number and then multiply the sum by four, you end up with 48. What is my number?
Answer:
9
Step-by-step explanation:
48 / 4 = 12
12 - 3 = 9
Check Work
9 + 3 = 12
12 * 4 = 48
Following are the factor ratings (100 points is the maximum) of three possible locations for a clothing store.
Location
Factor
Weight A B C
Convenience of access .10 92 70 72
Parking facility .15 91 73 75
Frontage .19 96 89 74
Shopper traffic .31 79 95 80
Operating cost .10 70 95 92
Neighbourhood .15 69 81 96
1.00
a. Determine the composite score for each location. (Round intermediate calculations to 2 decimal places. Round the final answers to 2 decimal places.)
A B C
Composite score
b. Using part a results, determine which location should be chosen for the clothing store.
multiple choice
Location B
Location C
Location A
a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b) Based on the composite scores, Location A should be chosen for the clothing store.
To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.
a. The composite score for each location is calculated as follows:
Location A:
Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)
Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)
Composite score = 84.34
Location B:
Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)
Composite score = 81.05
Location C:
Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)
Composite score = 82.63
b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.
After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.
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"What does e to the ipi mean?
"
The mathematical phrase "e to the ipi" is composed of the imaginary unit i (the square root of -1 raised to the power of pi), which is symbolized by "pi," and the mathematical constant "e" (Euler's number).
The expression "e to the ipi" may be expressed as follows:
\(e^{(i*pi)}\)
The following formula is known as Euler's formula:
\(e^{(ipi)}\) = cos(pi) + isin(pi)
where "cos" and "sin" are the sine and cosine functions, respectively.
We may reduce this formula to using the cosine and sine trigonometric identities.
\(e^{(i*pi)}\) = -1
"e to the ipi" hence equals a negative one. This startling and outstanding finding ties together various crucial mathematical ideas, including calculus, complex numbers, and trigonometry.
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a person bets you that in 100 tosses of a fair coin the number of heads will differ from 50 by 4 or more. what is the probability that you will win this bet?
Answer:
The probability of winning the bet is approximately 0.4238, or about 42.38%.
Step-by-step explanation:
We can solve this problem using the normal approximation to the binomial distribution. Let X be the number of heads in 100 tosses of a fair coin. Then X follows a binomial distribution with n = 100 and p = 0.5. The mean of X is µ = np = 100 × 0.5 = 50, and the standard deviation of X is σ = sqrt(np(1-p)) = sqrt(100 × 0.5 × 0.5) = 5.
Now, we want to calculate the probability that |X - 50| ≥ 4. This is equivalent to calculating the probability that |(X - 50)/5| ≥ 4/5, which is the probability that a standard normal variable Z = (X - 50)/5 is less than -4/5 or greater than 4/5. Using a standard normal distribution table or a calculator, we can find:
P(Z ≤ -4/5) ≈ 0.2119
P(Z ≥ 4/5) ≈ 0.2119
Therefore, the probability of winning the bet is:
P(|X - 50| ≥ 4) = P(|(X - 50)/5| ≥ 4/5)
≈ P(Z ≤ -4/5 or Z ≥ 4/5)
≈ P(Z ≤ -4/5) + P(Z ≥ 4/5)
≈ 0.2119 + 0.2119
≈ 0.4238
So the probability of winning the bet is approximately 0.4238, or about 42.38%.
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Work out the size of the angle EDF, giving a reason for your answer.
A circle is a shape formed by a point moving in a plane while keeping the same distance from a fixed point. The measurement of angle EDF is 23 degrees.
To start, a circle is a shape that is created by a point moving in a plane while its distance from a fixed point remains constant. This fixed point is called the center of the circle.
Since we know that angles created by the same chord in a circle are equal, we can use this information to find the measure of angle EDF.
In this case, EF is the chord of the circle, and we are given that angle EGF measures 23°. Therefore, we can conclude that angle EDF must also measure 23° since it is created by the same chord EF.
Thus, we can say that the size of angle EDF is 23°.
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Complete question is the image attached below
True or False?
Every rectangle with four congruent sides is a square.
Every rhombus is a quadrilateral.
Every square is a parallelogram.
Every quadrilateral is a square.
Every rectangle with four congruent sides is a square -> True
Every rhombus is a quadrilateral -> True
Every square is a parallelogram -> True
Every quadrilateral is a square -> False.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
here, we have,
we know that,
Every rectangle with four congruent sides is a square -> True
Every rhombus is a quadrilateral -> True
Every square is a parallelogram -> True
Every quadrilateral is a square -> False.
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how to solve equations with fractions and variables in the denominator
To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.
For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:
3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x
This is the solution of the equation.
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Given the sequence -14,-6,-2,0,1 find the recursive formula
\(u_{2} = u_{1} + 8 \\ u_{3} = u_{2} + 4 \\ u_{4} = u_{3} + 2 \\ u_{5} = u_{4} + 1 \\ u_{6} = u_{5} + 0.5 \\ ....\)
\(u_{2} = u_{1} + 2 {}^{3} \\ u_{3} = u_{2} + 2 {}^{2} \\ u_{4} = u_{3} + 2 {}^{1} \\ u_{5} = u_{4} + 2 {}^{0} \\ u_{6} = u_{5} + 2 {}^{ - 1} \\ ....\)
\(u_{n + 1} = u_{n} + 2 {}^{4 - n} \)
a large square of side x and a small square of side y share a common area (shaded). The shaded region is 2/27 of the area of the larger square and 3/8 of the area of the smaller square. a side of the larger square is how many times larger than a side of the smaller square?
The side of the larger square is represented by x and the side of the smaller square is represented by y. We are given that the shaded region is 2/27 of the area of the larger square and 3/8 of the area of the smaller square. The side of the larger square is 3/2 times larger than the side of the smaller square.
Let's assume the side of the larger square is represented by x and the side of the smaller square is represented by y. We are given that the shaded region is 2/27 of the area of the larger square and 3/8 of the area of the smaller square.
To find the ratio between the sides of the two squares, we can set up the following equation:
(2/27) * x^2 = (3/8) * y^2
We can simplify this equation by multiplying both sides by the reciprocal of (3/8):
(2/27) * x^2 * (8/3) = y^2
Simplifying further, we have:
(16/81) * x^2 = y^2
Taking the square root of both sides, we get:
(4/9) * x = y
Now, we can see that the side of the larger square (x) is (4/9) times larger than the side of the smaller square (y). In other words, the side of the larger square is 3/2 times larger than the side of the smaller square.
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(Comparing Data MC)
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Coffee Ground
1.5 20 3.5
12 2 4
11 7 2.5
9.5 3 5
Perks A Lot
10 3.5 3
5 2.5 7
8 5.5 9.5
6 9 4.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Perks A Lot, with a mean value of 6.125 gallons
Perks A Lot, with a median value of 6.125 gallons
Coffee Ground, with a mean value of 6.75 gallons
Coffee Ground, with a median value of 6.75 gallons
The data shows that Coffee Ground typically sells the most amount of coffee per hour.
How to explain the informationThe mean value of the number of gallons of coffee sold per hour at Coffee Ground is 6.75 gallons, while the mean value at Perks A Lot is 6.125 gallons. The median value of the number of gallons of coffee sold per hour at Coffee Ground is also 6.75 gallons, while the median value at Perks A Lot is 6.125 gallons.
The mean is calculated by adding up all of the values in a set of data and dividing by the number of values. The median is calculated by finding the middle value in a set of data after the values have been arranged in order from least to greatest.
In this case, the mean and median values are both higher for Coffee Ground than for Perks A Lot
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A survey was conducted to gather ratings of the quality of service at local restaurants. Respondents rated on a scale of 0 (terrible) to 100 (excellent). The following stem plot represents the data: Find the median response. Find the mean response. What can be said about the shape of the distribution?
The data-set in this problem is given by the stem-and-leaf plot, which shows each observation in the problem.
Hence each observation is given as follows:
32, 34, 40, 43, 44, 47,48, 49, 49, 49, 50, 51, 51, 52, 53, 54, 55, 70, 71, 92
The data-set has 20 elements, which is an even cardinality, hence the median is the mean of the two middle elements, the 10th and the 11th, as follows:
Median = (50 + 51)/2 = 50.5.
The mean of the data-set is given by the sum of all observations divided by the number of observations, hence:
Mean = (32 + 34 + 40 + 43 + 44 + 47 + 48 + 3 x 49 + 50 + 2 x 51 + 52 + 53 + 54 + 55 + 70 + 71 + 92)/20
Mean = 51.7.
Missing InformationThe problem is given by the image presented at the end of the answer.
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Which type of set allows you to position rollers diagonally and set from multiple points of orgin?
oblong
half oval
half circle
The type of set that allows you to position rollers diagonally and set from multiple points of origin is an oblong set.
An oblong set is a type of parallel set consisting of two parallel rectangular bars or blocks, with rollers positioned diagonally between them. The oblong shape of the set allows for the rollers to be positioned at a diagonal angle, which can be useful when setting up workpieces that need to be adjusted at an angle or from multiple points of origin.
In contrast, a half oval set and a half circle set are both types of circular sets that consist of rollers positioned in a semi-circular shape. These types of sets are useful for supporting workpieces that have a curved or circular shape, but they do not provide the flexibility to position rollers at a diagonal angle or from multiple points of origin.
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6y^2+25y+4 factor the expression
Answer: (6y + 1) (y + 4)
Step-by-step explanation: (6y + 1) (y + 4) (6y)(y) + (6y)(4) + (1)(y) + (1)(4) 6y^2 + 24y + 1y + 4 6y^2 + 25y + 4
Answer:
multiply 6×2 an you get 12
step:1 =4×12y⁴ ¹+25y¹ ¹
step:2=48y⁴ ¹ +25y¹ ¹
step:3=48y³+25y⁰
step:4=48y³+25×1
step:5=48y³+25
answer=48y³+25