a. The sample mean is 3 and the sample standard deviation is approximately 1.53.
b. The estimated standard error for the sample mean is 0.765.
a. The sample mean is:
mean = (2 + 2 + 6 + 2)/4 = 3
The sample standard deviation can be calculated using the formula:
s = √(sum((xi - mean)²)/(n - 1))
where xi represents each score in the sample. Plugging in the values, we get:
s = √((2-3)² + (2-3)² + (6-3)² + (2-3)²)/3
s = √(14/3)
s ≈ 1.53
So, the sample mean is 3 and the sample standard deviation is approximately 1.53.
b. The estimated standard error for the sample mean can be calculated using the formula:
SE = s/√(n)
where s is the sample standard deviation and n is the sample size. Plugging in the values, we get:
SE = 1.53/√4)
SE = 0.765
So, the estimated standard error for the sample mean is 0.765.
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What is the maximum value of the function?
-2
0
pi
4
Answer:
0
Step-by-step explanation:
15.
Mrs Dixon puts 230 eggs into boxes.
Each box holds 12 eggs.
How many egg boxes does Mrs Dixon need to put all the eggs into boxes?
Answer:
20 boxes
Step-by-step explanation:
Each box ca hold 12 eggs
There are 230 eggs
So you will need 230/12 = 19 1/6 boxes = 19.167 boxes
Since you cannot get less than 1 box, round up to 20 boxes. There will be some empty spaces in one of the boxes
-34 – 5х = 3х + 6
pleaseeee helpppp meeee!!!!!
Answer:
x = -5
Step-by-step explanation:
-34 - 5x = 3x + 6
x = -5
Answer:
x=-5
Step-by-step explanation:
divide each side by a factor thay dont contain variable
another one bites the dust, plz help i give brainliest :)
Answer:
answer is 26.6%
Step-by-step explanation:
i first converted the fraction "40/150" to a decimal by dividing 40 by 150
40 divided by 150 is .26 (rounded)
and then i did .26 times 100
which gave me 26.6
:P hope this helped even doe im kinda late-
help me with this question, please
Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
Part 1
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:
\(\frac{3x}{3} = \frac{-12+6y}{3}\)
x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
Part 2
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!
What could be the next line in the solution of the equation 3 (x - 2) = 15 ?
1) solve 3x3 algebra equation5x−3y−4z=13
2y−4z=-22
−2z=-8
The solution to the given system of equations is:
x = 4, y = -3, z = 4.
To solve the given system of equations:
5x - 3y - 4z = 13
2y - 4z = -22
-2z = -8
We can start by solving equation (3) for z:
-2z = -8
Dividing both sides by -2:
z = (-8) / (-2)
z = 4
Now, substitute z = 4 into equations (2) and (1) to solve for y and x, respectively:
2y - 4z = -22
2y - 4(4) = -22
2y - 16 = -22
2y = -22 + 16
2y = -6
Dividing both sides by 2:
y = -6 / 2
y = -3
5x - 3y - 4z = 13
5x - 3(-3) - 4(4) = 13
5x + 9 - 16 = 13
5x - 7 = 13
5x = 13 + 7
5x = 20
Dividing both sides by 5:
x = 20 / 5
x = 4
Therefore, the solution to the given system of equations is:
x = 4, y = -3, z = 4.
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12 + 4x – 4 = 12x – 9 – 8x
Answer:
No solution
Step-by-step explanation:
Basically the simplified equation is 17 = 0, which is wrong so there is no solution.
Solve for x
A) 14
B) 8
C) 5
D) 10
Select the methodology that would result in a subjective probability....
Dividing the number of favorable events by the number of possible events.
Studying the fraction of times in the past a particular event has happened.
Weighing the available information and assigning a probability.
Weighing the available information and assigning a probability.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.
So, as per the definition of subjective probability
Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus
Weighing the available information and assigning a probability.
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in the 2008 presidential election in pennsylvania, an exit poll of 2,752 randomly selected voters found that 55.3% voted for barack obama. when officials counted all votes in the state, 54.7% voted for obama. what is the distribution of the sample proportion who voted for obama?
The distribution of the sample proportion who voted for Obama approximately normal with a mean of 0.547 and a standard deviation of 0.0095
We are provided with the following;
Proportion of voters who voted for Obama, p=0.547 or 54.7%
Total number of voters, n=2752
Mean=official number of votes Obama got=54.7%=0.547
Let us calculate the standard deviation, s:
\(s=\sqrt\frac{p(1-p)}{n}\)
\(s=\sqrt\frac{0.547(1-0.547)}{2752}\)
s=0.009488
Hence, the sample proportion is approximately normal with a mean of 0.547 and a standard deviation of 0.0095
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Select the domain and range of F.
F={(x, y) Ix+y=10].
1. Set F is not a function and does not contain a domain or range
2. Domain: [10] Range: (10)
3. Domain: All Real Numbers Range: All Real Numbers
The domain and range of F is F={(x, y) Ix+y=10] is: 3. Domain: All Real Numbers Range: All Real Numbers
The given set F={(x, y) | x+y=10} represents a linear equation where the sum of x and y is always equal to 10.
To determine the domain and range of F, we need to consider the
possible values of x and y that satisfy the equation.
Domain: The domain represents the set of all possible values for the independent variable, which in this case is x. Since there are no restrictions on the value of x, the domain is All Real Numbers.
Range: The range represents the set of all possible values for the dependent variable, which in this case is y. By rearranging the equation x+y=10, we can solve for y to get y=10-x. Since x can take any real value, y can also take any real value. Therefore, the range is also All Real Numbers.
The correct answer is: 3. Domain: All Real Numbers Range: All Real Numbers
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a line that passes through the point (2,1) and is parallel to the line y = -2x + 5
A line in slope-intercept form is represented by the following equation:
\(\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}\)Parallel lines have the same slope, then if the line is parallel to the line y=-2x+5, the slope of the parallel line would be -2 too.
Now, by the given point (2,1) and knowing the slope of the line, we can use the slope-point form of the line equation to get the slope-intercept form:
\(\begin{gathered} y-y_0=m(x-x_0) \\ \text{where,} \\ (x_0,y_0)\text{ is the given point} \\ m\text{ is the slope} \end{gathered}\)Substituting:
\(\begin{gathered} y-1=-2(x-2) \\ y=-2x+4+1 \\ y=-2x+5 \end{gathered}\)Notice that the parallel line would be the same original line, y=-2x+5.
If a + c = 4.98 and b + c = 6.48, what is the value of b^2+bc-ab-ca?
A) 7.47
B) 8.16
C) 9.08
D) 9.72
E) None of the preceding
Answer:
it is option no d at least
cuz it is what it is
Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
The average mass of a giraffe is approximately 1x 10^8 kilograms. The average mass of a blue whale is approximately 2x 10^6 kilograms. About how many times more mass does a giraffe have than a blue whale?
Answer:
Giraffe = 1,000 kg
Whale = 2,000,000 kg
Step-by-step explanation:
Whale has 2,000 times the mass.
Can I please get Branliest and rate, like Thank you!
Write an inequality for the graph below
Answer:
x>5
Step-by-step explanation:
> defines the dotted line while x determines where it is plotted and the side that is shaded
Taxis are waiting in a queue for passengers to come. Passengers arrive according to a Poisson process with an average of 60 passengers per hour. A tax departs as soon as two passengers have been collected or 3 minutes have expired since the first passenger has got in the taxi. Suppose you get in the taxi as the first passenger. What is your average waiting time?
Your average waiting time will be approximately 1 minute.
As the first passenger, you will not have to wait for any other passengers to get in the taxi. However, the taxi will wait for 2 passengers to arrive or 3 minutes to pass since your boarding.
Since passengers arrive according to a Poisson process with an average of 60 passengers per hour, the arrival rate lambda can be calculated as:
lambda = average number of passengers per time unit = 60/60 = 1 passenger per minute
The time between two consecutive passenger arrivals follows an exponential distribution with parameter lambda. Thus, the probability of waiting less than t minutes for the second passenger to arrive can be calculated as:
P(wait < t) = 1 - e^(-lambda*t)
We need to find the average waiting time until the second passenger arrives. This can be calculated as the area under the probability distribution curve divided by the arrival rate lambda:
average waiting time = integral from 0 to infinity of t*(1 - e^(-lambda*t)) dt / lambda
Using integration by parts, we can solve this integral to get:
average waiting time = 1/lambda + (1 - e^(-lambda*t))/(lambda^2)
Plugging in the values, we get:
average waiting time = 1/1 + (1 - e^(-1*3))/(1^2) = 1 + (1 - 0.0498) = 1.9502 minutes
Therefore, as the first passenger, your average waiting time until the second passenger arrives is 1.9502 minutes.
To answer your question, let's consider the two possible scenarios:
1. Two passengers are collected: In this case, the first passenger (you) waits for the second passenger to arrive. Since the arrival rate is 60 passengers per hour, the average time between arrivals is 1 minute (60 minutes / 60 passengers).
2. Three minutes have expired: In this case, the taxi departs after 3 minutes even if only one passenger (you) is in the taxi.
On average, the waiting time for the first passenger (you) will be the minimum of these two scenarios. Thus, your average waiting time will be approximately 1 minute.
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tanya's car will go 2 3/5 miles on 1/4 of gas how many miles will tanya's car go on 1 gallon of gas
Tanya's car will go 10 2/5 miles on 1 gallon of gas.
What is expression?
An expression consists of one or more numbers or variables along with one more operation.
We can start by finding out how many quarters of gas are in a gallon. Since there are 4 quarters in a whole, there are 4 quarters in one gallon of gas. Therefore, we can find how many miles Tanya's car will go on 1 gallon of gas by multiplying the number of miles it goes on 1/4 of gas by 4:
2 3/5 miles ÷ (1/4) = 2 3/5 miles × 4 = 10 2/5 miles
So, Tanya's car will go 10 2/5 miles on 1 gallon of gas.
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How much is it | -7.9|?
Plllzzzzzz help mark you brainliest
Answer:
7.9
Step-by-step explanation:
When a number (or multiple numbers) is placed between two lines like this | |, that is the absolute value grouping symbol. Absolute value is the distance between the grouped number(s) and another defined number. In this case there are no other given numbers so 0 is assumed.
Now, say a friend is driving to your house and you call them to ask how far away they are from arriving (in distance), and they say "Around negative 5 miles away." That doesn't make sense! Distance can never be negative, and because absolute value is the distance between a number and another, a number within that grouping symbol can never be negative if there is a solution. Therefore, |-7.9| would be 7.9, because -7.9 is that exact amount away from 0.
HELEEEEEEEEEP MEE I think its even ????
Question 9 options:
odd
even
neither even nor odd
both even and odd
Explanation:
The graph is not symmetric about the y axis, which tells us that the function is not even.
All odd functions pass through the origin, so this function is not odd either.
Math help because I forget
Answer:
R.I.P
Step-by-step explanation:
goodluck doing that
Solve for c round your answer to the nearest tenth
Answer:
C = 7.72 ~ 7.7
Step-by-step explanation:
So when you solve this equetion you must 1st find x then c
we can find x by using cos(60)
cos(60) = x/14
x = cos(60) × 14
x = 1/2 ×14
x = 7
so after we find x we are going to solve c by using cos (25)
cos (25) = X/C = 7/c
cos(25) × C = 7
C = 7/cos (25)
C = 7.72 ~ 7.7
so the solution is 7.7
What percentage of the shape is green?
Answer:
51%
Step-by-step explanation:
51 of the 100 cubes are green so 51/100 is equal to 51%
does someone mind helping me with this problem? Thank you!
Answer:
5.20
Step-by-step explanation:
48 / 9.23 = 5.20043336945
rounded to tenth is 5.20
Hope This Helped
Answer:5.20
Step-by-step explanation:
48 / 9.23 = 5.20
A 12-ft ladder leans against the side of a house the bottom of the ladder is 7 ft from the side of the house how high is the top of the ladder from the ground? Round to the nearest tenth
Answer: h= 9.74 feet
Step-by-step explanation:
To find the height of the top of the ladder from the ground, we can use the Pythagorean theorem. Let's call the height of the top of the ladder "h".h^2 = 12^2 - 7^2h^2 = 144 - 49h^2 = 95h = sqrt(95)h ≈ 9.74 ftRounding to the nearest tenth, the height of the top of the ladder from the ground is 9.7 ft.
Answer:
Step-by-step explanation:
Use Pythagorean Theorem
a² + b² = c²
7² + b² = 12²
49 + b² =144
49 - 49 + b² = 144 -49
b² = 95
√b² = √95
b = 9.74
round to 9.7
Need help with this problem for my math homework that is due tomorrow
Joan went to the store and bought A watermelon for $3 some grapes. Grapes coughed $5.25 per pound if jamba X pounds for grapes which equation best represents y the total Amount joan has to pay before text
An object experiences two velocity vectors in its environment.
v1 = −60i + 3j
v2 = 4i + 14j
What is the true speed and direction of the object? Round the speed to the thousandths place and the direction to the nearest degree.
a. 58.524; 163º
b. 58.524; 17º
c. 53.357; 163º
d. 53.357; 17º
The true speed of the object is 58.524.
The direction of the object is 163°.
Given that,
An object experiences two velocity vectors in its environment.
v1 = −60i + 3j
v2 = 4i + 14j
Resultant vector is,
V = v1 + v2
= -56i + 17j
Now the true speed is,
True speed = √(=[(-56)² + (17)²] = 58.524
Direction of the object is,
Direction = tan⁻¹ (17 / -56)
= - tan⁻¹ (17/56)
= -16.887° ≈ -17°
= 180° - 17 = 163°
Hence the correct option is A.
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A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor count data for 10 mice in strain A and 13 mice in strain B. Type A mice have been well studied. and information from other laboratories suggests that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12. Tumor count rates for type B mice are unknown, but type B mice are related to type A mice. The observed tumor counts for the two populations are
YA = (12, 9, 12, 14, 13, 13, 15, 8, 15, 6);
YB = (11, 11, 10, 9, 9, 8, 7, 10, 6, 8, 8, 9,7).
Required:
Find the posterior distributions, means, variances.
To estimate the rate of tumorigenesis in strains A and B, we can use Bayesian inference. We'll assume that the tumor counts in both strains follow a Poisson distribution. The goal is to find the posterior distributions, means, and variances for the rates in each strain.
Let's denote the rate of tumorigenesis in strain A as λA and in strain B as λB. We'll assign prior distributions to these rates, and then update them based on the observed tumor counts.
Given that type A mice have tumor counts approximately Poisson-distributed with a mean of 12, we can choose a Gamma prior for λA, which is the conjugate prior for the Poisson distribution. We'll use a Gamma(αA, βA) distribution as the prior for λA.
Similarly, since the tumor count rates for type B mice are unknown but related to type A mice, we can also use a Gamma prior for λB. Let's choose a Gamma(αB, βB) distribution as the prior for λB.
Now, let's calculate the posterior distributions, means, and variances for λA and λB based on the observed tumor counts.
For strain A, the observed tumor counts are:
YA = (12, 9, 12, 14, 13, 13, 15, 8, 15, 6)
The likelihood of observing these tumor counts given λA is given by the product of the Poisson probabilities:
L(λA|YA) = Poisson(12; λA) * Poisson(9; λA) * Poisson(12; λA) * ... * Poisson(6; λA)
Using Bayes' theorem, the posterior distribution for λA is proportional to the product of the likelihood and the prior distribution:
Posterior(λA|YA) ∝ L(λA|YA) * Prior(λA)
To find the exact posterior distribution, we need to normalize the posterior by integrating over all possible values of λA.
Similarly, for strain B, the observed tumor counts are:
YB = (11, 11, 10, 9, 9, 8, 7, 10, 6, 8, 8, 9, 7)
The likelihood of observing these tumor counts given λB is:
L(λB|YB) = Poisson(11; λB) * Poisson(11; λB) * Poisson(10; λB) * ... * Poisson(7; λB)
The posterior distribution for λB is given by:
Posterior(λB|YB) ∝ L(λB|YB) * Prior(λB)
Again, we need to normalize the posterior distribution to obtain the exact values.
The means and variances of the posterior distributions can be obtained analytically by using the properties of the Gamma distribution.
Note: To find precise numerical values and distributions for the posterior distributions, we need to specify the parameters (αA, βA, αB, βB) for the Gamma prior distributions. Please provide the values for these parameters, and I can help you calculate the posterior distributions, means, and variances for strains A and B.
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1+2+6+1+4+45+7474747448489
Answer:
7474747448548
Step-by-step explanation:
I hope this helps