The standard deviation of a sampling distribution of sample means is also called the _____.
a. sampling deviation.
b. distribution error.
c. sampling error.
d. standard error
The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.
The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.
The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.
The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:
Standard Error = (Population Standard Deviation) / √(Sample Size)
The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is __:__
Answer:
1 : 1
Step-by-step explanation:
PQ parallel to RS
PR and PS ; perpendicular to PQ and RS
FOR parallel lines, the perpendicular line joining then are always the same ; here the 4 angles formed are all 90°
Answer:
1:1
Step-by-step explanation:
the price for 5/6 l of liquid x is $80. what is the price per litre of liquid x
Answer:
$96.
Step-by-step explanation:
5/6 costs 80
Multiply both parts by 6/5:
5/6 * 6/5 ( = 1 ) costs 80 * 6/5
= 16 * 6
= $96.
X=4
y=5
w=12
then what is: xy+4/w
Please help due soon pleaseeee!!!!!! Help
Answer:
see attached
Step-by-step explanation:
Given the pictorial equations, you want to know the single-digit values of each of the images.
EquationsThere are 6 equations in 5 unknowns, but no numerical values are assigned. Solving the equations will only give ratios of values. From those, we need to determine the numerical values that will keep all numbers in the range 1–9.
Let the icons be represented by letter variables as follows:
hat = hboot = bsock = stennis shoe = tmitten = mRewriting the equations to standard form, we have ...
h +b -m -s = 0 . . . . . [eq1]
h -b +t = 0 . . . . . . . . [eq2]
b -3s = 0 . . . . . . . . . [eq3]
h -s -t +m = 0 . . . . . [eq4]
h +2s -m = 0 . . . . . . [eq5]
h +b +s -2t = 0 . . . . . [eq6]
SolutionWe can add [eq4] to [eq1] and [eq5] to eliminate the m variable.
(h +b -m -s) +(h -s -t +m) = 0 ⇒ 2h +b -2s -t = 0 . . . . [eq7]
(h +2s -m) +(h -s -t +m) = 0 ⇒ 2h +s -t = 0 . . . . . . . . . [eq8]
Adding [eq2] to [eq6], and [eq7] will eliminate the b variable.
(h +b +s -2t) +(h -b +t) = 0 ⇒ 2h +s -t = 0 . . . . same as [eq8]; no help
(2h +b -2s -t) +(h -b +t) = 0 ⇒ 3h -2s = 0 . . . . . [eq9]
Now, we have 3 equations in 4 unknowns:
b -3s = 0 . . . . . . . [eq3]
3h -2s = 0 . . . . . . [eq9]
2h +s -t = 0 . . . . . [eq8]
The smallest positive integer values that will satisfy [eq9] are ...
h = 2, s = 3
Using these in the remaining equations gives ...
b -3·3 = 0 ⇒ b = 9
2·2 +3 -t = 0 ⇒ t = 7
And we can find m using [eq5]:
m = h +2s = 2 +2·3 = 8
Then the solution is ...
hat = 2boot = 9sock = 3tennis shoe = 7mitten = 8Find the volume of the composite solid 3 in. 8 in. 11 in.
Evaluate the integral. ∫ x sec x tan x dx
The integral is ∫ x sec x tan x dx. We can solve it using integration by parts xln|sec(x) + tan(x)| - x + C
We have u = x, dv = sec(x)tan(x)dx, du = dx, and v = ln|sec(x) + tan(x)|.
The integral is then
Integrating the second part we get:
xln|sec(x) + tan(x)| - x + C
The integral is ∫ x sec x tan x dx. We can solve it using integration by parts. We let u = x and dv = sec(x)tan(x)dx. Then, du = dx and v = ln|sec(x) + tan(x)|. So, the integral becomes xln|sec(x) + tan(x)| - ∫ ln|sec(x) + tan(x)| dx. We can integrate the second part to get xln|sec(x) + tan(x)| - x + C.
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I need to write an equation for One-fifth of a number x is 25
Step-by-step explanation:
that's it!! pls mark me as Branliest..
Your friend says that the solutions to the inequality 5x-11> 12 are x>-2 Solve the inequality correctly. What error did your friend make?
Answer:
x>23/5 is the answer
Step-by-step explanation:
5x - 11 > 12
5x > 12 + 11
5x > 23
x > 23/5
Friend has made a calculation error
Set up an expression:
Bianca has four more than twice as many
hair bows as Hannah
Answer:
because 2+2 is 4
Step-by-step explanation:
Answer:
2h+4=b
Step-by-step explanation:
h stands for how many bows hannah has, and b stands for how many bows bianca has. bianca has four more than twice the amount of bows as hannah, so you double hannah's amount, and add four!
We have 500 mice and want to determine how effective a given cure for a virus. 10 mice are taken from the group and injected with our cure. 7 mice were cured. According to this experiment, how many mice should be cured?
Answer:
350
Step-by-step explanation:
if you take 500-10 that gives you 490 left to cure if 7 of those 10 are cured the 350 out of the total mice would be cured. if it is not the correct answer i am sorry that is just how I was taught to do it.
What value of x makes the equation -5x - (-6 - 4x) = -2(3x - 4) true?
Answer: \(x=\Large\boxed{\frac{2}{5} }\)
Step-by-step explanation:
Given equation
\(-5x-(-6-4x)=-2(3x-4)\)
Expand the parenthesis
\(-5x+6+4x=-2\times3x-2\times(-4)\)
\(-5x+6+4x=-6x+8\)
Combine like terms
\(-x+6=-6x+8\)
Add 6x on both sides
\(-x+6+6x=-6x+8+6x\)
\(5x+6=8\)
Subtract 6 on both sides
\(5x+6-6=8-6\)
\(5x=2\)
Divide 5 on both sides
\(5x/5=2/5\)
\(x=\Large\boxed{\frac{2}{5} }\)
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Which of the following would be equivalent to 3^2 ⋅ 3^5?
3^10/3^3
3^10/3^7
3^1 x 3^7
3^0
it is 3^1 x 3^7
youre welcome
Answer:
C) 3^1 x 3^7
Step-by-step explanation:
PLEASE HELP ME IM BEGGING YOU
Answer:
A: 2x-1
Step-by-step explanation:
Graph it. if you plug in the x and y of (1,1)
1= 2(1)-1
1=2-1
correct
Answer: A
Step-by-step explanation:
Since we are given the slope, all we have to do is use the given point to find the y-intercept.
y=2x+b [plug in (1,1)]
1=2(1)+b [multiply]
1=2+b [subtract both sides by 2]
b=-1
Now, we know the equation is y=2x-1.
A 13 km stretch of road needs repairs. Workers can repair 3 1/2km of road per week.
How many weeks will it take to repair this stretch of road?
The workers would need 3.71 weeks to repair the road.
A generalization of arithmetic in which letters representing numbers are combined using arithmetic rules
Given that the total length of the road is 13km. Workers can repair 3.50 roads per week.
To determine the number of weeks required to repair the road, divide the total by per week. The equation would be:
13 ÷ 3.5
= (13 x 10)/35
= 130/ 35
= 3.71
Therefore the workers would need 3.71 weeks to repair the road.
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if a triangle is dilated with a scale factor of 3, how do the sizes for the pre-image and image compare?
Answer:
Please check explanations
Step-by-step explanation:
When we dilate a particular figure, we are simply increasing the dimensions of its sides
By dilating the pre-image by a factor of 3, we are simply increasing the dimensions of it by a multiple of 3
so say for example, the base of the pre-image has a measure of 4 ft, the base of the image which is the pre-image dilated by a scale factor of 3 will be 4 ft * 3 = 12 ft
What this mean is that we have succeeded in tripling the dimension of the pre-image to give the dimension of the image
+8 opposite value of integers
Answer:
-8
Step-by-step explanation:
The opposite of a positive integer is a negative integer so it must be -8
A boat travel 42 mile uptream in 3 hour looking for a lot diver. It then travel downtream 70 mile in 2 hour. Write a ytem to repreent the ituation. Then find the peed of the boat and the peed of the current. Ue b for boat and c for current
The speed of boat is 14 miles per hour and the speed of current 35 mile per hour
Speed:
The general formula to calculate the speed is written as
Speed = Distance/Time
Given,
A boat travel 42 mile uptream in 3 hour looking for a lot diver. It then travel downstream 70 mile in 2 hour.
Here we need to find the speed of boat and the speed of current.
While we looking into the given question, we have identified the following values,
Distance = 42 mile
time = 3 hour
Then the speed is calculated as,
=> speed = 42/3
=> speed = 14 miles per hour
Similarly, for the current is
distance = 70 miles
time = 2 hour
Then the speed is calculated as,
=> speed = 70/2 = 35 miles per hour.
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The _______
is the set of all outputs for a function. The _______
is the set of all inputs for a
The
function.
Answer:
The Range is the set of all outputs for a functionThe Domain is the set of all inputs for a functionFor example
f(x)=x+3Here Domain and range both are set of all real numbers
what percent of 145 is 85? round your answer to the nearest tenth
Which number equals (5)−3
A. \(-15\)
B. \(\frac{1}{15}\)
C. \(-125\)
D. \(\frac{1}{125}\)
The number -3(5) will equal the -15 which is written in latex as \(-15\) so option (A) will be correct.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given that, - 3(5)
since we know in multiplication if you multiply by - and + than the result will be on only - so
-3(5) = -3×5 = -15 = \(-15\)
Hence, the correct answer will be \(-15\)
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14 4/9+ 25 1/6+ 7 11/18=
Answer:
47 2/9
hope this help :)
Answer:
47 2/9
Step-by-step explanation:
( 14 + 25 + 7) + ( 4/9 + 1/6 + 11/18)
46 + 11/9
46 + 1 2/9
47 2/9
The main diagonal of a cube the is a diagonal connecting any two opposite vertices of the cube. One main diagonal is shown as a red dashed line in the figure below. Suppose a cube has sidelength √3/2 metres. What is the length of its main diagonal? Make sure to include units in your final answer. (Hint: You might need to apply the Pythagorean theorem multiple times.)
The length of the main diagonal of the cube is (3√6)/2 metres.
To find the length of the main diagonal, we first find the length of the diagonal of one face using the Pythagorean theorem. Then, we multiply this length by √6 to account for all six faces of the cube. Finally, we simplify the expression to get the final answer.
The main diagonal of a cube is the diagonal connecting any two opposite vertices of the cube. To find the length of the main diagonal, we start by using the Pythagorean theorem to find the length of the diagonal of one face of the cube. We know that the side length of the face is √3/2 metres, so we calculate (√3/2)^2 + (√3/2)^2 = 3/4 + 3/4 = 3/2 metres.
Since a cube has six faces, we multiply this length by √6 to account for all six faces. Simplifying the expression (√6) * (3/2) gives us the length of the main diagonal as (3√6)/2 metres.
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Find the equation of the line perpendicular to the line y x = −3x + 6 and passing through the point ( -2, 8). Show full working out
Step-by-step explanation:
The equation of the line perpendicular to the line y = -3x + 6 and passing through the point (-2,8) is y = (1/3)x + (10/3).
the process of finding the derivative of a function is called____.
The process of finding the derivative of a function is called differentiation.
Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.
The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.
The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.
By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.
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let x1, x2, ..., xn be a random sample from the distribution with the probability density function f(x; θ) = (θ 1)(1 −x)θ, 0 < x < 1, θ > −1. show that this is an exponential family
The given distribution, with the probability density function f(x; θ) = (θ¹)(1 − x)ᵀ, where 0 < x < 1 and θ > -1, is an exponential family.
How can we show that the given distribution is an exponential family?
To show that the distribution is an exponential family, we need to express its probability density function (pdf) in the general exponential family form. Let's analyze the components of the exponential family.
The natural parameter for this distribution is θ.
The sufficient statistic is ln(x), the natural logarithm of x.
The log-normalization constant can be found by integrating the pdf over the support of the distribution.
The carrier measure is zero.
By expressing the given pdf in the form f(x; θ) = exp[c(θ)T(x) + d(θ)], where c(θ) = θ, T(x) = ln(x), and d(θ) is the log-normalization constant, we can see that the distribution satisfies the criteria for an exponential family.
Therefore, the answer is that the given distribution is an exponential family.
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Find CD.
4.5
5.3
5.5
6.3
Answer:
(d) 6.3
Step-by-step explanation:
You want the measure of side CD in ∆CDE ~ ∆CFG with CG=6, GE=2.4, and FD=1.8.
ProportionThe corresponding sides of the two triangles are proportional:
CD/CE = FD/GE
CD = CE×FD/GE = (6+2.4)×1.8/2.4
CD = 6.3
__
Additional comment
Lengths on segment CD are 3/4 of those on segment CE, so CF = 4.5. CD is the sum of CF and FD: 4.5 +1.8 = 6.3.
30 points!! Find the value of x. Show yours steps.
Answer: x=10
Step-by-step explanation:
Supplementary angles 142+2(x+9)=180
Subtract 142 frrom both sides
2(x+9)=38
now distribute
2x+18=38
subtract again
2x=20
Divide both sides by 2
x=10
The logarithm form of 5^3 =125 is equal to
a. log5 125 = 3 b. log5 125 = 5
c. log3 125 = 5 d. log5 3 = 3
The correct logarithm form is: a. log5 125 = 3
Question is about finding the logarithm form of 5³ = 125 using the given options.
The correct logarithm form is:
a. log5 125 = 3
Here's the step-by-step explanation:
1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.
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please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
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