Suppose a random sample of size 50 is selected from a population with σ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).
a. The population size is infinite (to 2 decimals).
b. The population size is N = 50,000 (to 2 decimals).
c. The population size is N = 5000 (to 2 decimals).
d. The population size is N = 500 (to 2 decimals).
The value of the standard error of the mean in each of the following cases are as follows: a) = 1.414213562 = 1.41, b) = 1.41, c) = 1.41 and d) = 1.34.
As standard error (SE) = s × fpc /sqrt (n) and fpc = sqrt [(N-n) / (N-1)] where,
N = population size
n = sample size
then,
a) The population size is infinite (to 2 decimals).
If N = infinity, then fpc = 1.
Thus, SE = 10×1/sqrt (50) = 1.414213562 = 1.41
b) The population size is N = 50,000 (to 2 decimals).
If N = 50000, then
fpc = sqrt [(50000-50)/(50000-1)] = 0.99950987
Thus, SE = 10*0.99950987/sqrt (50) = 1.413520414 = 1.41
c) The population size is N = 5000 (to 2 decimals).
If N = 5000, then
fpc = sqrt [(5000-50)/ (5000-1)] = 0.995086951
Thus, SE = 10*0.995086951/sqrt (50) = 1.407265462 = 1.41
d) The population size is N = 500 (to 2 decimals).
If N = 500, then
fpc = sqrt [(500-50)/ (500-1)] = 0.949633407
Thus, SE = 10*0.949633407/sqrt (50) = 1.342984443 = 1.34
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Help Plssssssssssssss
Answer:
Correct option is C
Thanks
MAY YOU PLEASE HELP ME!!
Answer:
D. (4, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
-x + 5y = -4
4x + 3y = 16
Step 2: Rewrite systems
x = 5y + 4
4x + 3y = 16
Step 3: Solve for y
Substitute in x: 4(5y + 4) + 3y = 16Distribute 4: 20y + 16 + 3y = 16Combine like terms: 23y + 16 = 16Subtract 16 on both sides: 23y = 0Divide 23 on both sides: y = 0Step 4: Solve for x
Define: 4x + 3y = 16Substitute in y: 4x + 3(0) = 16Multiply: 4x = 16Isolate x: x = 4And we have our final answer!
can someone help me really quick
The addition equation to represent Jackson's net change in money is x + (-y) = 4.63
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.
WE need to Write an addition equation to represent Jackson's net change in money.
Given that :
The change received = 4.63
The Net change in money :
Let initial amount before purchase is represented by x
The Cost of item purchased = y (negative as it is incurred)
The Net change in money:
Initial amount + cost of item purchased = change received
x + (-y) = 4.63
Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63
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please help easy! MATCH graph FOR MATH
Answer:
1. y = 2x² - 4
2. y = x² -2x
3. y = x² -2x + 1
Step-by-step explanation:
1. y = 2x² - 4 (not + 4 but it is not given?)
2. y = x² -2x
3. y = x² -2x + 1
Answer:
It is number 2
Step-by-step explanation:
PLEASE HELP QUICK ON TIME LIMIT
the words are small so I’ll write it out too .
A construction crew is lengthening, a road that originally measured 9 miles. The crew is adding 1 mile to the road each day. Let L be the length in miles after D days of construction. Write an equation relating L to D. Then graph equation using the axes below.
Please help !!!
The equation relating L to D is; L = 9 + D
Please find attached the graph of L = 9 + D, created with MS Excel
What is a equation or function?An equation is a statement of equivalence between two expressions, and a function maps a value in a set of input values to a value in the set of output values.
The initial length of the road = 9 miles
The length of road the construction crew is adding each day = 1 mile
The length in mile of the road after D days = L
The equation for the length is therefore;
L = 9 + DThe graph of the length of the road can therefore be obtained from the equation for the length by plotting the ordered pairs obtained from the equation.
Please find attached the graph of the equation created using MS Excel.
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What is the answer to 0.5 in percent form
Answer:
50%
Step-by-step explanation:
In order to change a decimal into a percent, move the decimal to the right twice and add a percent sign
0.5 = 5.0 once
5.0 = 50.0 twice
And add a percent sign 50%
Answer:
Your answer would be 50%
Step-by-step explanation:
you would move the 5 to the left 2 times let me show you.
0.5 = 05. then 05. = 50. which would be 50%
please give brainliest if correct <3
Cuánto es
Doy coronita
Answer:
4
Step-by-step explanation:
√x + 3=25/5
√x+3=5
√x=5-3
√x=2
x=4
0.075,0.75%, 3/4.. Which of the following correctly orders the values above from least to greatest
Answer:
0.075,3/4,0.75
Step-by-step explanation:
Answer:
0.75%, 0.075%, 3/4
Step-by-step explanation:
Took the test and this is the correct answer
Grayce has three diamonds that weigh 0.275 g each. Morgan has two diamonds that weigh 0.412 g each. Who has more grams of diamonds?
Grayce has 0.825 g of diamonds and Morgan has 0.824 g of diamonds. Grayce has more grams of diamonds
Calculating weightsFrom the question, we are to determine the person that has more grams of diamonds
From the given information,
"Grayce has three diamonds that weigh 0.275 g each"
and
"Morgan has two diamonds that weigh 0.412 g each"
Thus,
The total mass of Grayce's diamonds is 3 × 0.275 g
3 × 0.275 g = 0.825 g
Also,
The total mass of Morgan's diamonds is 2 × 0.412 g
2 × 0.412 g = 0.824 g
Since 0.825 is greater than 0.824,
Then,
Grayce has more grams of diamonds.
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DONT CLICK LINKS THEY ARE TRY TO GET INFO FROM YOU THRY ARE LYING
Answer:
they try to hack you and steal information that others should not know!! always report them.
Step-by-step explanation:
Peter scored a total 44 points on 9 math quizzes. What score does Peter need on his tenth and final quiz in order to have a final quiz average of 5 ?
Answer:
Number of points need = 6 points
Step-by-step explanation:
Given:
New average = 5
Points peter has = 44
Total quiz play = 9
Find:
Points required for average of 5
Computation:
Total number of match = 9 + 1
Total number of match = 10
Average points = 5
Assume;
Number of points need = x
So,
Average points = [Total points] / Total number of match
5 = [44+x] / 10
50 = 44 + x
x = 6
Number of points need = 6 points
The score does Peter needs on his tenth and final quiz in order to have a final quiz average of 5 is 6 and this can be determined by using the formula of average.
Given :
Peter scored a total of 44 points on 9 math quizzes.
The following steps can be used in order to determine the score of the tenth quiz:
Step 1 - The formula of average can be used in order to determine the score of the tenth quiz.
Step 2 - According to the given data, Peter scored a total of 44 points on 9 math quizzes. Now, let the score of the final tenth quiz be 'x'.
Step 3 - The average of the 10 quizzes is given by:
\(\dfrac{44 + x }{10}=5\)
Step 4 - Simplify the above expression in order to determine the value of 'x'.
50 = 44 + x
x = 6
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HW 3: Problem 9 Previous Problem List Next (1 point) Suppose that X is normally distributed with mean 110 and standard deviation 21. A. What is the probability that X is greater than 145.28? Probabili
The probability that X is greater than 145.28 is approximately 0.0465.
Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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find the domain & range, pls helpp
Answer:
Domain: 1, 6
Range: 4
Step-by-step explanation:
The Domain is the first coordinate which is x
The Range is the second coordinate which is y
The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4
Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour while the other traveled at 60 km per hour. After how many hours did they meet? 1 x represents the number of hours, which of the following equations could be used to solve the problem? 65x60x500 65x60x500 65x60x
Answer:
65x + 60x = 500
Step-by-step explanation:
yep
circle find the area of the shaded region. 80° and 5cm. Enter a decimal rounded to the nearest tenth
The area of the shaded region is 17.27 square centimeter.
Given that, θ=80° and the radius of a circle is 5 cm.
The formula to find the area of a sector = θ/360° ×πr².
Here, area of a sector = 80°/360° ×3.14×5²
= 0.22×3.14×25
= 17.27 square centimeter
Therefore, the area of the shaded region is 17.27 square centimeter.
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What is the value of X in this figure 28
Fifty less than three times a number is -20. Find the number.
Answer:
10
Step-by-step explanation:
assigning variable x to the unknow number
3x - 50 = -20
3x = 30
x = 10
I need to simplify the exponent for my math test asap.
John has 8 different flags that he wants to hang on the wall. How many different ways can the flags be arranged in a row?
Answer:
40,320 different ways
Step-by-step explanation:
Here, we want to arrange 8 flags in a row
In the row, there will be 8 places
The first place has 8 flags to be chosen from
The second place has 7 and like that
So mathematically, the number of ways that we can arrange the flags is 8 factorial ways
We have this as:
8! = 40,320 different ways
In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If students participated in the poll, how many chose Orange?
Answer:
1666.70
Step-by-step explanation: 10,000/6=1666.70
i need help with this question
Answer:5.621
Step-by-step explanation:
Find the general solution of the following equations by integrating. N.B. Please use A for the first constant of integration, B for the second and C for the third.
(a) y′=4t3+t
Solution: y=
(b) y′′=4t3+t Solution:
y=
(c) d3xdt3=4t3+t
Solution: x=
(d) 2y′=3t+2 Solution:
y=
a) The general solution is y = t^4/4 + t^2/2 + A, b) The general solution is y = t^5/20 + t^3/6 + At + B, c) the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C d) The general solution is y = 3t^2/4 + t + A/2
(a) To find the general solution of y′=4t^3+t, we need to integrate both sides of the equation with respect to t. This gives us:
y = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
So the general solution is y = t^4/4 + t^2/2 + A, where A is the first constant of integration.
(b) To find the general solution of y′′=4t^3+t, we need to integrate both sides of the equation twice with respect to t. This gives us:
y′ = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
y = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
So the general solution is y = t^5/20 + t^3/6 + At + B, where A is the first constant of integration and B is the second constant of integration.
(c) To find the general solution of d^3x/dt^3=4t^3+t, we need to integrate both sides of the equation three times with respect to t. This gives us:
d^2x/dt^2 = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
dx/dt = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
x = ∫(t^5/20 + t^3/6 + At + B)dt = t^6/120 + t^4/24 + At^2/2 + Bt + C
So the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C, where A is the first constant of integration, B is the second constant of integration, and C is the third constant of integration.
(d) To find the general solution of 2y′=3t+2, we need to integrate both sides of the equation with respect to t. This gives us:
2y = ∫(3t+2)dt = 3t^2/2 + 2t + A
y = (3t^2/2 + 2t + A)/2 = 3t^2/4 + t + A/2
So the general solution is y = 3t^2/4 + t + A/2, where A is the first constant of integration.
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im highly confused .. please help .. i will mark brainliest!
Answer:
22/7*1.5 square
=7.1 meter square
Answer:
Don’t Be Worried!
the formula Is A=πr2
The answer will be last option
Step-by-step explanation:
I hope you are staying safe!
Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88
Answer:
Each slice of pizza cost:
$1.63
Step-by-step explanation:
4.89/3 = 1.63
Answer:
$1.63
Step-by-step explanation:
We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.
cost / slices
It costs $4.89 for 3 slices.
$4.89 / 3 slices
Divide 4.89 by 3 (4.89/3=1.63)
$1.63 / slice
The cost of each slice of pizza is $1.63
A coin is tossed and a number cube labelled 1-6 is rolled. how many equally likely outcomes are there?
Answer:
12
Step-by-step explanation:
Tree diagram
Heads - 1
- 2
- 3
- 4
- 5
- 6
Tails - 1
- 2
- 3
- 4
- 5
- 6
Count all the possibilities, and boom- 12 :)
Sorry if its wrong tho-
Label each item as factor by grouping or factor using substitution.
To factor a trinomial of the form
ax 2 + bx + c, find a factor pair of ac
that has the sum of b. Rewrite bx as a
sum of those factors. Then factor out
the GCF from the two groups of terms
to write the original trinomial as the
product of two binomials.
Answer:
To factor a trinomial of the form ax^2 + bx + c, you can use the following steps:
Step-by-step explanation:
To factor a trinomial of the form ax^2 + bx + c, you can use the following steps:
Find a factor pair of ac that has the sum of b. For example, if a = 2, b = -7, and c = -21, then the factor pair for -42 (2 * -21) that has the sum of -7 is (-7, -6).
Rewrite bx as a sum of those factors. In the example, -7x = -7x + (-6x).
Factor out the GCF (greatest common factor) from the two groups of terms. In the example, (2x - 7)(x - 6) = 2x(x - 6) - 7(x - 6) = 2x^2 - 14x + 12x - 42 = 2x^2 - 2x - 42.
Write the original trinomial as the product of two binomials. In the example, the trinomial 2x^2 + -7x + -21 can be factored as (2x - 7)(x - 6)
So the final factorization is (2x - 7)(x - 6)
What is the value of x to the nearest tenth? The figure is not drawn to scale.
A. x=35.6
B. x=10.5
C. x=4.9
D. x=1.5
The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.
From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).
Thus, we have:
(x / 19.3) = (3.9 / 7.2)
Then, attempting to find the value of x we have:
x = (3.9 / 7.2) × (19.3)
= 10.5
Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.
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Which of the following best defines an output?
An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
An output is a set of ordered pairs in which no y-value repeats.
Answer: An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
16.32 X 8.1 = O 128.32 0 24.331 O 132.192 D 2.331
16.32 X 8.1 = 132.192