the pooled sample variance р = 6 n = 16 n2 = 2 , The correct answer is option A. s = 5.23
To calculate s, the pooled sample variance that should be used in the pooled-variance t test, using the given information, we can use the formula for pooled variance: Pooled variance = [(n1 - 1)s1² + (n2 - 1)s2²] / (n1 + n2 - 2) Where s1² and s2² are the sample variances, n1 and n2 are the sample sizes, and n1 + n2 - 2 is the degrees of freedom. The given information is: p = 6n = 16n2 = 2n1 = n - n2 = 16 - 2 = 14 Substituting these values into the formula: Pooled variance = [(14-1)×6² + (2-1)×0²] / (14 + 2 - 2)= (78 + 0) / 14= 5.57 Using the formula for sample variance: Sample variance, s² = (Σ(x - μ)²) / (n - 1) We need to calculate the variance of the second sample with n2 = 2, so we'll use the formula on this sample only. x = (7 + 5) / 2 = 6μ = 6 (since the population mean is not given, we assume it to be equal to the sample mean) x1 = 7, x2 = 5 Sample variance = [(7 - 6)² + (5 - 6)²] / (2 - 1)= 2/1= 2 Using the formula for sample standard deviation: s = √(s²)= √(2)≈ 1.41 Rounding s to two decimal places, we get s ≈ 5.23. Therefore, option A is the correct answer.
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at time t = 0 the capacitor in the circuit below is fully charged with qmax, and the current through the circuit is 0.
At time t = 0, the capacitor in the circuit is charged to its maximum charge, qmax, and the circuit has zero current.
At t = 0, the capacitor in the circuit is fully charged, which means it has accumulated its maximum charge, qmax. The capacitor acts as a temporary energy storage device in the circuit. When the capacitor is fully charged, it contains potential energy. The charge on the capacitor creates an electric field, which opposes the flow of current through the circuit.
Since the capacitor is fully charged at t = 0, it resists any change in the current. Therefore, the circuit has zero current flowing through it. As time progresses, the capacitor will start to discharge, releasing the stored energy and allowing the current to flow. The discharge process is governed by the relationship between the voltage across the capacitor, the capacitance of the capacitor, and the resistance in the circuit.
Finally, at t = 0, the capacitor in the circuit is charged to its maximum capacity, qmax, and the circuit has zero current flowing through it.
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PLEASE ANSWER QUICKLY.
Donald tried solving the equation 12m=36. After isolating the variable, he concluded m=24.
Answer the following questions.
What error did Donald make involving inverse operations?
What should m equal?
Be sure to answer in complete sentences.
Answer:
Step-by-step explanation:
12m = 36
To isolate the variable m we divide both sides by 12
12m/12 = 36/12
m = 2.
He made a mistake in the division
or he might have subtracted 12 from 36 as that will give 24 as the answer.
the first garden is 4 feet long. Deja is using small bricks, which are each 1/3 of a foot long. How many small bricks are needed?
To build a garden of 4 feet Deja needs 12 small bricks.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The first garden is 4 feet long the bricks Deja is using are each 1/3 of a foot long.
Therefore, the number of bricks required is,
= 4/(1/3).
= 4×(3/1).
= 12 bricks.
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A washer and a dryer cost $646 combined. The washer costs $54 less than the dryer. What is the cost of the dryer?
The answer is $350
Explanation
does anyone know how to do this?
Answer:
100
Step-by-step explanation:
I thinks it 100 cuz 15x20= 300 and ⅓ of 300 is 100
15×20 = 300
1/3 × 300 =100
Step-by-step explanation:
15 rows multiplied by 20 seats to find out total number of seats and then you multiply by a third to find one third of the total seats
next,you will make a scatter plot. Name a point that will be on your scatterplot and describe what it represents.
Answer:
(12, 190). This represents that after selling 12 ice creams, I gain $190.
Step-by-step explanation:
I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.
Find a sinusoidal function with the following four attributes: (1) amplitude is 10, (2) period is 5, (3) midline is y = 31, and (4) ƒ(3) = 41. f(x) = =
The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:
f(x) = A * sin(Bx + C) + D
where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.
Amplitude: The given amplitude is 10. So, A = 10.
Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.
Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.
f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:
41 = 10 * sin(2π/5 * 3 + C) + 31
10 * sin(2π/5 * 3 + C) = 41 - 31
10 * sin(2π/5 * 3 + C) = 10
sin(2π/5 * 3 + C) = 1
To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.
2π/5 * 3 = π/2 - C
6π/5 = π/2 - C
C = π/2 - 6π/5
Now we have all the values to construct the sinusoidal function:
f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31
Simplifying further:
f(x) = 10 * sin(2π/5 * x - 2π/10) + 31
f(x) = 10 * sin(2π/5 * x - π/5) + 31
Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
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what ratio that you would use to convert 7,920 miles to feet? Even if you do not recall the numbers used, be sure to explain in steps how to do thhe conversion
Answer:
Step-by-step explanation:
Feet = miles x 5280
feet = 7920 × 5280 = 41,817,600ft.
hope it helps you
mark my answer asw brainliest.
Step-by-step explanation:
first clarify how many feet there are in a yard. then how many yards in a mile. that multiplied gives us how many feet there are in a mile.
and then multiply that by 7,920, and we get how many feet there are in 7,820 miles.
so, in numbers :
3 ft = 1 yd
1760 yd = 1 mi
that means there are
1760×3 = 5,280 ft in 1 mi
so, we should use 5280/1 as ratio been ft and miles.
and therefore, there are
5280 × 7920 = 41,817,600 ft in 7,920 miles.
ANSWER FAST FOR 50 POINTS!!!!!!
How many solutions does this equation have 9y + 5 = 3y + 1 + 6y + 4
Answer:
9y+5=3y+1+6y+4=>
-9y+3y+6y=5-1-4=>
0=0
Hey there!
9y + 5 = 3y + 1 + 6y + 4
9y + 5 = 9y + 5
SUBTRACT 9y to BOTH SIDES
9y + 5 - 9y = 9y + 5 - 9y
SIMPLIFY IT!
NEW EQUATION: 5 = 5
SUBTRACT 5 to BOTH SIDES
5 - 5 = 5 - 5
0 = 0
Therefore, your answer is:
All real numbers
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Elise says, "If you subtract 12 from my number and multiply the difference by - 3, the result is - 54."
What is Elise's number?
Elise's number is?
10 POINTS + BRAINLIST IF RIGHT
Answer:30
Step-by-step explanation:
Steps below. I formed an equation out of the word problem.
Which expression is equivalent to |-5| + |3|?
Group of answer choices
-8
8
2
-2
Answer:
8
Step-by-step explanation:
please sombody help mee
Answer:
A) y=1500+150x
Step-by-step explanation:
The y-intercept (0,1500) matches up with the first equation.
Each time x increases by one, y increases by 150. Example- (1, 650) and (2, 1800)
Please give brainliest if I helped! :)
Answer:
y= 150 + 1500x
Step-by-step explanation:
the yintercept is 1500. each point on the y axis is 100 and each point on the y axis is 1
so i go up 3 which is 300 and to the right 2 points which is 2 to get to the next point.
300/2 is 150
a mountain is 6,874 feet above sea level whereas a nearby valley is 280 feet below sea level. determine the elevation difference between the height of the mountain and the height of the valley. the difference between the two heights is feet.
The difference in elevation between the height of mountain and height of valley measuring from sea level is equal to 6594 feet.
Since it is given that the height of mountain from the sea level is 6874 feet and the height of valley is 280 feet. Therefore to calculate the difference in elevation, the heights will be subtracted from one another to get a value which will show the elevation. Since both the heights are measured from the sea level which is taken as constant, so no extra calculations will be needed.
Elevation difference = Height of mountain - height of valley
Elevation difference = 6874 - 280 = 6594 feet
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Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3. What is the length of segment NS? 1 unit 2 units 4 units 6 units
Answer:
6 units
Step-by-step explanation:
Given: Triangle L N P has centroid S.
\(NS=7x-3, SR=5x-3\)
To find: NS
Solution:
Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio \(2:1\)
So,
\(NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1} \\\)
Put \(NS=7x-3, SR=5x-3\)
\(\frac{7x-3}{5x-3}=\frac{2}{1}\\ 7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1\)
Therefore,
\(NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units\)
So,
\(NS=NS+SR=4+2=6\,\,units\)
Answer:
The answer is 4
Step-by-step explanation:
It asks for the length of NS not the length of NR
Multiply the starting price by the right term that uses the compound average to show that the arithmetic mean does not recover the final price while the geometric and continuous means do. Convert the percent averages to fractions.
$53. 07 x (1 + arith mean) 3 = 53.07 x (1 + #21 %) 3 = #22
$53. 07 x (1 + geom mean) 3 = 53.07 x (1 + #23 %) 3 = $ #24
$53. 07 x e cont mean x 3 = 53.07 x e #25 % x 3 = $ #26
I need help filling out numbers #21 through #26
The values for numbers #21 through #26 are as follows:
#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397
#21: 2.33% (arithmetic mean as a fraction: 0.0233)
#22: $56.4842 (result of the calculation)
#23: 1.85% (geometric mean as a fraction: 0.0185)
#24: $56.4148 (result of the calculation)
#25: 3.64% (continuous mean as a fraction: 0.0364)
#26: $57.4397 (result of the calculation)
To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.
#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.
#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.
#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.
#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.
#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.
#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.
Hence, the values for numbers #21 through #26 are as calculated above.
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How many triangles are inside a heptagon?
3
5
2
4
Answer:
5 triangles are in a heptagon.
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
1/2
Step-by-step explanation:
-3x+5x-2>-4x+1
first, you will combine like terms. -3x+5x=2x.
2x-2>-4x+1
you need to move the variable to one side. So you will add 4x on both sides.
6x-2>1
You need to add 2.
6x>3.
Now you will divide both sides by 6 to get x by itself.
x> .5 or 1/2
pls barinliest
What is the estimated total of 674, 692, 724, and 739?
Answer:
2800 is a good estimate
Step-by-step explanation:
Rounding to the nearest hundred
674 = 700
692 = 700
724 = 700
739 = 700
700+700+700+700 = 2800
If Y has a binomial distribution with parameters n and p, then p(hat)1 = Y/n is an unbiased estimator of p. Another estimator of p is p(hat)2 = (Y+1)/(n+2).
a. Derive the biase of p(hat)2.
b. Derive MSE(Pphat)1) and MSE(p(hat)2).
c. For what values of p is MSE(p(hat)1) < MSE(p(hat)2)?
a. To derive the bias of p(hat)2, we need to calculate the expected value (mean) of p(hat)2 and subtract the true value of p.
Bias(p(hat)2) = E(p(hat)2) - p
Now, p(hat)2 = (Y+1)/(n+2), and Y has a binomial distribution with parameters n and p. Therefore, the expected value of Y is E(Y) = np.
E(p(hat)2) = E((Y+1)/(n+2))
= (E(Y) + 1)/(n+2)
= (np + 1)/(n+2)
The bias of p(hat)2 is given by:
Bias(p(hat)2) = (np + 1)/(n+2) - p
b. To derive the mean squared error (MSE) for both p(hat)1 and p(hat)2, we need to calculate the variance and bias components.
For p(hat)1:
Bias(p(hat)1) = E(p(hat)1) - p = E(Y/n) - p = (1/n)E(Y) - p = (1/n)(np) - p = p - p = 0
Variance(p(hat)1) = Var(Y/n) = (1/n^2)Var(Y) = (1/n^2)(np(1-p))
MSE(p(hat)1) = Variance(p(hat)1) + [Bias(p(hat)1)]^2 = (1/n^2)(np(1-p))
For p(hat)2:
Bias(p(hat)2) = (np + 1)/(n+2) - p (as derived in part a)
Variance(p(hat)2) = Var((Y+1)/(n+2)) = Var(Y/(n+2)) = (1/(n+2)^2)Var(Y) = (1/(n+2)^2)(np(1-p))
MSE(p(hat)2) = Variance(p(hat)2) + [Bias(p(hat)2)]^2 = (1/(n+2)^2)(np(1-p)) + [(np + 1)/(n+2) - p]^2
c. To find the values of p where MSE(p(hat)1) < MSE(p(hat)2), we can compare the expressions for the mean squared errors derived in part b.
(1/n^2)(np(1-p)) < (1/(n+2)^2)(np(1-p)) + [(np + 1)/(n+2) - p]^2
Simplifying this inequality requires a specific value for n. Without the value of n, we cannot determine the exact values of p where MSE(p(hat)1) < MSE(p(hat)2). However, we can observe that the inequality will hold true for certain values of p, n, and the difference between n and n+2.
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In the given scenario, we have two estimators for the parameter p of a binomial distribution: p(hat)1 = Y/n and p(hat)2 = (Y+1)/(n+2). The objective is to analyze the bias and mean squared error (MSE) of these estimators.
The bias of p(hat)2 is derived as (n+1)/(n(n+2)), while the MSE of p(hat)1 is p(1-p)/n, and the MSE of p(hat)2 is (n+1)(n+3)p(1-p)/(n+2)^2. For values of p where MSE(p(hat)1) is less than MSE(p(hat)2), we need to compare the expressions of these MSEs.
(a) To derive the bias of p(hat)2, we compute the expected value of p(hat)2 and subtract the true value of p. Taking the expectation:
E(p(hat)2) = E[(Y+1)/(n+2)]
= (1/(n+2)) * E(Y+1)
= (1/(n+2)) * (E(Y) + 1)
= (1/(n+2)) * (np + 1)
= (np + 1)/(n+2)
Subtracting p, the true value of p, we find the bias:
Bias(p(hat)2) = E(p(hat)2) - p
= (np + 1)/(n+2) - p
= (np + 1 - p(n+2))/(n+2)
= (n+1)/(n(n+2))
(b) To derive the MSE of p(hat)1, we use the definition of MSE:
MSE(p(hat)1) = Var(p(hat)1) + [Bias(p(hat)1)]^2
Given that p(hat)1 = Y/n, its variance is:
Var(p(hat)1) = Var(Y/n)
= (1/n^2) * Var(Y)
= (1/n^2) * np(1-p)
= p(1-p)/n
Substituting the bias derived earlier:
MSE(p(hat)1) = p(1-p)/n + [0]^2
= p(1-p)/n
To derive the MSE of p(hat)2, we follow the same process. The variance of p(hat)2 is:
Var(p(hat)2) = Var((Y+1)/(n+2))
= (1/(n+2)^2) * Var(Y)
= (1/(n+2)^2) * np(1-p)
= (np(1-p))/(n+2)^2
Adding the squared bias:
MSE(p(hat)2) = (np(1-p))/(n+2)^2 + [(n+1)/(n(n+2))]^2
= (n+1)(n+3)p(1-p)/(n+2)^2
(c) To compare the MSEs, we need to determine when MSE(p(hat)1) < MSE(p(hat)2). Comparing the expressions:
p(1-p)/n < (n+1)(n+3)p(1-p)/(n+2)^2
Simplifying:
(n+2)^2 < n(n+1)(n+3)
Expanding:
n^2 + 4n + 4 < n^3 + 4n^2 + 3n^2
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What’s the answer Answer???
Answer:
B.
Step-by-step explanation:
I might have gotten this wrong but my mind was telling me it was B hope this helped.
Thanks for your time.
(>.<) <3 Kris
Determine if the equation y = 2/5 x − 4 y=25x-4 represents a proportional relationship. If so, determine the constant of proportionality.
Answer:
The linear equation represents a proportional relationship and its constant of proportionality is \(k = \frac{2}{5}\).
Step-by-step explanation:
A proportional relationship exists when the following relationship is observed:
\(u = k\cdot v\)
Where:
\(u\) - Dependent variable.
\(v\) - Independent variable.
\(k\) - Proportionality constant.
If \(y =\frac{2}{5}\cdot x - 4\) and \(v = x\) and \(u = y+4\), the following expresion is found:
\(y = \frac{2}{5}\cdot x -4\)
\(y + 4 = \frac{2}{5}\cdot x\)
\(u = \frac{2}{5}\cdot v\)
The linear equation represents a proportional relationship and its constant of proportionality is \(k = \frac{2}{5}\).
The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all
that apply.
O Both angles are acute.
O The sum of the measures of the two angles is 75°.
O The sum of the measures of the two angles is 155°.
OOne of the angles is a right angle.
O The measure of neither angle is more than 75°.
O The measures of the other angles must be 105° too.
D The measure of one of the other angles equals 75°.
O The measure of one of the other angles must be 45°.
Save and Exit
Submnit
Answer:
both angles are acute
Step-by-step explanation:
If you know him i love ill give out brainliest
Answer:
Lucifer
Step-by-step explanation:
But a lot thinner
Max was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Max's cookies were left after the bake sale?
Answer: there are 8 cookies left
Step-by-step explanation:
Let's count how many cookies Max baked:
125% = 1.25
64 × 1.25 = 80
Let's count how many cookies were sold:
90% = 0.9
80 × 0.9 = 72
Leftover cookies:
80 - 72 = 8
Determine the sum of the first 27 even Natural Numbers.
378
2,700
270
756
Answer:
this is called AP arithmetic progression
2, 4, 6.........
sn=n/2(2a+(n-1)d)
S27=
\( \frac{27}{2 } (2 \times 2 + (27 - 1)2)\)
\( \frac{72}{2} (4 + (26 \times 2)\)
\( \frac{27}{2} (4 + 52)\)
\( \frac{27}{2} \times 56\)
\(27 \times 28\)
=756
What is the amount of sales tax owned in a $39 jacket if the tax rate is 5%
Answer:
$1.95
Step-by-step explanation:
Can someone please help me, determine if they are equivalent yes or no I’ll mark brainliest please
Answer:
from the top-
yes
no
no
no
A pizza shop sells a medium pizza with a diameter of 12 inches for 15 dollars based off that pricing, what should that pricing for a small pizza cost and a large pizza cost
The pricing for each pizza is given as follows:
Small pizza: $5.Large pizza: $20.How to obtain the pricing for each pizza?The pricing for each pizza is obtained applying the proportions in the context of this problem.
A pizza shop sells a medium pizza with a diameter of 12 inches for 15 dollars, hence the price per inch of the diameter is given as follows:
15/12 = $1.25.
The small pizza has a diameter of 4 inches, hence the price is given as follows:
4 x 1.25 = $5.
The large pizza has a diameter of 16 inches, hence the price is given as follows:
16 x 1.25 = $20.
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m and c both have personal auto policies with liability limits of 20/30/10. if m borrows c's car and injured a pedestrian, causing injuries that will cost $5,000 to treat, which policy will provide coverage for the injured party? a's policy b neither policy, since c's car is not scheduled on m's policy c both policies will share the loss on a pro rata basis d c's policy
The policy that will provide coverage for the injured party in this scenario is C's policy.
When someone borrows another person's car, they are typically covered by the owner's auto insurance policy. In this case, M borrowed C's car and caused injury to a pedestrian. Since M was driving C's car at the time of the accident, C's policy will provide coverage for the injured party.
The liability limits of 20/30/10 indicate the coverage amounts for bodily injury liability per person, bodily injury liability per accident, and property damage liability, respectively.
In this scenario, the cost to treat the pedestrian's injuries is $5,000, which falls within the bodily injury liability limits of both M and C's policies.
M's personal auto policy will generally cover M when driving their own car, not when driving someone else's car.
Therefore, M's policy is not applicable in this situation. Since M was driving C's car, it is C's policy that will provide coverage for the injured party, covering the medical expenses up to the bodily injury liability limit of C's policy.
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Why isn’t x squared subtract 81 the same as x squared plus 81
Answer:
Step-by-step explanation:
0