when looking at the results of a 90% confidence interval, we can predict what the results of the two-sided significance test will be: a. at any alpha level b. at alpha-0.01 c. at alpha-0.10 d. at alpha-0.05
Answers
The results of the two-sided significance test will be at alpha-0.10
What is confidence interval or limit?
The confidence limits of a measurement are the limits between which the measurement error is with a probability P. The probability P is the confidence level and α = 1 - P is the risk level related to the confidence interval.The 90% of Confidence interval has
∝ = 1 - 0.90
= 0.10
at alpha = 0.10
That if the test two is failed then confidence interval and hypothesis test gives the same results.
Hence ,The results of the two-sided significance test will be at alpha-0.10
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Related Questions
Which of the following statements are true?
Answers
Answer:
A and D
Step-by-step explanation:
Sorry if its wrong.
Write an equation in slope-intercept form of the line that passes through the given points.
Answers
The equation of the line is y = -2.5x - 1
How to determine the line equation?The table represents the given parameter
On the table, we have the following points
Point, (x, y) = (0, -1) and (2, -6)
So, we start by calculating the slope of the line using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where x and y are defined above
So, we have
Slope = (-6 + 1)/(2 - 0)
Evaluate
Slope = -2.5
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
Slope, m = -2.5
(x₁, y₁) = (0, -1)
So, we have
y = -2.5(x + 0) - 1
Open the brackets and evaluate
y = -2.5x - 1
Hence, the line has an equation of y = -2.5x - 1
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y? + y
y² - 2y ?
4y + 4
Find the simplified quotient.y? – 4y + 4
y(+ 1) (-2)(-2)
YO-2) 4(y + 1)
4(y + 1) y(+1)
(y-2)6-2) 0-2)
O
Y(+1) 419 + 1)
y0-2) (-2)(-2)
Answers
Answer:
that one is A and the second part is B :)
3x + t + 4 = 5x – t + 4 solve for t
Answers
Answer:
t=x
Step-by-step explanation:
3x + t + 4 = 5x – t + 4
3x-5x+t+t=4-4
-2x+2t=0
-2x=-2t
x=t
So the final answer is t=x
i need to find the value of sum and difference functions
Answers
Solution:
The functions are given below as
\(\begin{gathered} h(x)=x^2+1 \\ k(x)=x-2 \end{gathered}\)Step 1:
To figure out the (h+k)(2), we will use the formula below
\((h+k)(x)=h(x)+k(x)\)By substituting the values, we will have
\(\begin{gathered} (h+k)(x)=h(x)+k(x) \\ (h+k)(x)=x^2+1+x-2 \\ (h+k)(x)=x^2+x-1 \\ (h+k)(2)=2^2+2-1 \\ (h+k)(2)=4+2-1 \\ (h+k)(2)=5 \end{gathered}\)Hence,
The final answer is
\(\Rightarrow(h+k)(2)=5\)Step 2:
To figure out the (h-k)(3), we will use the formula below
\(\begin{gathered} (h-k)(x)=h(x)-k(x) \\ \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} (h-k)(x)=h(x)-k(x) \\ (h-k)(x)=x^2+1-(x-2) \\ (h-k)(x)=x^2+1-x+2 \\ (h-k)(x)=x^2-x+3 \\ (h-k)(3)=3^2-3+3 \\ (h-k)(3)=9 \end{gathered}\)Hence,
The final answer is
\(\Rightarrow(h-k)(3)=9\)Step 3:
To figure out the value of 3h(2) +2k(3), we will use the formula below
\(\begin{gathered} 3h(x)+2k(x)=3(x^2+1)+2(x-2) \\ 3h(2)=3(2^2+1)=3(4+1)=3(5)=15 \\ 2k(3)=2(x-2)=2(3-2)=2(1)=2 \\ 3h(2)+2k(3)=15+2=17 \end{gathered}\)Hence,
The final answer is
\(\Rightarrow3h(2)+2k(3)=17\)
Which of the following would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls?
a. At-score
b. Az score
c. A deviation coefficient
d. A variance determination
Answers
The z-score would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls. So, the answer to the given question is option B) Az score.
What is a z-score?The z-score is a standard score that indicates how many standard deviations an observation is from the mean. A z-score expresses the difference between a measurement and the mean in units of standard deviation. It is calculated as follows: Z-score= (score – mean) / standard deviation
The z-score is frequently utilized in statistics as an index of the likelihood that a result will occur. It is often utilized to determine whether a value is significantly different from the average. It is also known as a standard score or a normal deviate.
The z-score indicates how many standard deviations an observation is from the mean. A positive z-score indicates that the measurement is above the mean, whereas a negative z-score indicates that the measurement is below the mean. A z-score of zero indicates that the score is equal to the mean.
Hence, the answer to the given question is option B) Az score.
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Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=xy; 6x y=10
Answers
There is a maximum value of 7/6 located at (x, y) = (5/6, 7).
The function given to us is f(x, y) = xy.
The constraint given to us is 6x + y = 10.
Rearranging the constraint, we get:
6x + y = 10,
or, y = 10 - 6x.
Substituting this in the function, we get:
f(x, y) = xy,
or, f(x) = x(10 - 6x) = 10x - 6x².
To find the extremum, we differentiate this, with respect to x, and equate that to 0.
f'(x) = 10 - 12x ... (i)
Equating to 0, we get:
10 - 12x = 0,
or, 12x = 10,
or, x = 5/6.
Differentiating (i), with respect to x again, we get:
f''(x) = -12, which is less than 0, showing f(x) is maximum at x = 5/6.
The value of y, when x = 5/6 is,
y = 12 - 6x,
or, y = 12 - 6*(5/6) = 7.
The value of f(x, y) when (x, y) = (5/6, 7) is,
f(x, y) = xy,
or, f(x, y) = (5/6)*7 = 7/6.
Thus, there is a maximum value of 7/6 located at (x, y) = (5/6, 7).
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Despite a wide variety of workplaces for those working in Human Services, all workplaces include
comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.
Answers
Answer:
a variety of medical testing equipment.
Step-by-step explanation:
Answer:
c hope this helps if wrong please tell me
Step-by-step explanation:
Show that at least three of any 25 days chosen must fall in the same month of the year.
Answers
The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.
What is the proof that three of any twenty-five, 25 days chosen must fall in the same month of the year as required in the task content?This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.
Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.
Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.
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what is the equation of a line that passes through the point (5,-3) and is parallel to 6x+3y=-12
Answers
The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.
What does equation of parallel lines mean?Parallel lines are those that never intersect. As a result, two parallel lines must have the same slope but different intercepts (if they had the same intercepts, they would be identical lines).
The equation of the line is 6x+3y=-12.
6x+3y=-12
3y =-12-6x
y = -2x-4
The slope of this line is -2.
Because parallel lines have the same slope, the new line will also have a slope of -2.
You now have a point (5,-3) and a slope; thus, use the Point-Slope form to solve the equation of a line.
y-y₁= m(x-x₁)
y+3 = -2(x -5)
y+3 = -2x+10
y =-2x+7
The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.
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(c) A non-uniform but spherically symmetric charge distribution has a charge density: rho(r)=rho 0
(1−r/R)
rho(r)=0
for r≤R
for r>R
where rho 0
=3Q/πR 3
is a positive constant. Show that the total charge contained in this charge distribution is Q. [4] Show that the electric field in the region r>R is identical to that created by a point charge Q at r=0 [2] Derive an expression for the electric field in the region r≤R. [5]
Answers
To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:
ρ(r) = ρ₀(1 - r/R) for r ≤ R,
ρ(r) = 0 for r > R,
where ρ₀ = 3Q/πR³.
To find the total charge, we integrate ρ(r) over the volume:
Q = ∫ρ(r) dV,
where dV represents the volume element.
Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.
The integral becomes:
Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.
Evaluating this integral gives:
Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.
Simplifying further, we get:
Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].
Simplifying the expression inside the parentheses:
Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].
Simplifying once more:
Q = ρ₀ * π * (R³ - R³/3),
Q = ρ₀ * π * (2R³/3),
Q = (3Q/πR³) * π * (2R³/3),
Q = 2Q.
Therefore, the total charge contained in the charge distribution is Q.
To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.
By Gauss's law, the electric field through a closed surface is given by:
∮E · dA = (1/ε₀) * Qenc,
where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.
Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.
For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q,
Simplifying:
E = Q / (4πε₀r²).
This is the same expression as the electric field created by a point charge Q at the origin (r = 0).
To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.
The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.
By Gauss's law, we have:
∮E · dA = (1/ε₀) * Qenc.
Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q.
Simplifying:
E = Q / (4πε₀r²).
This expression represents the electric field inside the charge distribution for r ≤ R.
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a) Determine two different (be sure to Justify why different) factorizations of 4 into irreducibles. 2(√5] in
Answers
Two different factorizations of 4 into irreducibles are 2 * 2 and (-2) * (-2)
To factorize 4 into irreducibles, we need to find prime numbers or irreducible elements that multiply together to give 4. An irreducible element is a number that cannot be further factored into smaller non-unit elements.
The first factorization is 2 * 2, where both factors are the prime number 2. Since 2 is a prime number, it cannot be factored any further, making it irreducible. Therefore, the factorization 2 * 2 is a valid factorization of 4 into irreducibles.
The second factorization is (-2) * (-2). Here, we have negative factors. It is important to note that in the context of factorization, the sign of the factors does not affect the factorization itself. Therefore, (-2) * (-2) is equivalent to 2 * 2 as a factorization of 4 into irreducibles.
These factorizations are different because they involve different elements (-2 and 2) even though they have the same absolute value and product. The distinction lies in the sign, which makes them separate factorizations.
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True or False: The domin of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of fand the domain of g. Justify your answer.
Answers
The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.
What is a function?A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.
What is a domain?The range refers to all potential values of y, and the domain refers to all conceivable values of x.
The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.
Thus, the given statement is false.
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Guys please can someone solve this problem I’ve been trying for the last 50 minutes.
Answers
Answer: 110/290
Step-by-step explanation:
USE A PROTRACTOR
Answer:
\(5y - 23 + 7y + 5 = 90 \\ 12y - 18 = 90 \\ 12y = 108 \\ y = 9\)
Lara bought philly soft pretzels. Each serving has 1.7 grams of fat .She ate 1.5 servings of the pretzels at lunch and 1.25 servings of the pretzels as a snack .How many grams of fat was in each servings ? explain how you got it.
Answers
Answer:
The total grams of fat that were in both servings based on the information is 27.625 grams.
Step-by-step explanation:
From the information, Lara bought Philly soft pretzels. Each serving has 1.7 grams of fat. She ate 15 servings of the pretzels at lunch and 1.25 servings of the pretzels as a snack.
Therefore, the total grams will be:
Therefore, the total grams of fat that were in both servings based on the information is 27.625 grams.
= (15 × 1.7) + (1.25 × 1.7)
= 25.5 + 2.125
= 27.625 grams
Which numbers below are even? Check all that apply.
A. 8676
B. 6799
C. 6374
D. 4590
E. 9960
F. 7915
Answers
Answer:
A, C, D, and E
Step-by-step explanation:
8676, is an even number because, 0,2,4,6,8, and 10 are all even, so that concludes, 6374, 4590, and 9960 are all even
Which of the following diagram(s) show a pure substance?
A. not listed here
b. A, D, E, F, H and I
c. A, B, C, E, F and H
d. A, B, E, F, G, H and I
Answers
Answer:
A,D,E,F,H,I
Step-by-step explanation:
because they have molecules joined on to them
Answer:
B. A, D, E, F, H and I
Step-by-step explanation:
B is the answer
During a snowstorm, Madison tracked the amount of snow on the ground. When the storm began, there were 5 inches of snow on the ground. For the first 5 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 6 hours and then started again at a constant rate of 1 inch per hour for the next 5 hours. As soon as the storm stopped again, the sun came out and melted the snow for the next 5 hours at a constant rate of 5 inches per hour. Make a graph showing the inches of snow on the ground over time using the data that Madison collected.
Answers
Answer:
19
Step-by-step explanation:
Mercury freezes at -39 degrees Celsius and boils at 357 degrees C. which of the following intervals represents the temperature range in degrees Fahrenheit over which Mercury is a liquid?
Answers
Answer:
Man I wish I knew
Step-by-step explanation:
Answer:
The first answer is not helpful at all
When full, one of the pools at Sapphire Island will hold 43,000 gallons of water. The pool currently holds 20,000 gallons of water and is being filled at a rate of 130 gallons per minute. Write an equation that can be used to find h, the number of hours it will take to fill the pool from its current level. Explain the steps you used to write your equation.
Answers
The equation to determine the number of hours it will take to fill the pool, given the current level of the pool, the rate at which the pool is being filled, and the pool's capacity can be found using the following steps.
To write an equation that can be used to find the number of hours it will take to fill the pool from its current level, we need to use the following information:
The pool's capacity: 43,000 gallons
The current level of the pool: 20,000 gallons
The rate of filling the pool: 130 gallons per minute
We can start by using the formula:
time = (amount needed to fill)/(rate of filling)
The amount needed to fill the pool is the difference between the pool's capacity and the current level of the pool.
amount needed to fill = 43,000 - 20,000 = 23,000 gallons
Now we can substitute this value in the formula above:
time = (23,000 gallons)/(130 gallons/minute)
To convert the time to hours, we divide the time in minutes by 60
time = (23,000 gallons)/(130 gallons/minute) × (1 hour/60 minutes)
So, the equation that can be used to find h, the number of hours it will take to fill the pool from its current level is:
h = (23,000 gallons) / (130 gallons/minute) × (1 hour/60 minutes)
Note that this equation is not simplified, you can simplify it by canceling out common factors, you'll get:
h = (23000 / 130) × (1/60)
This equation can be used to find the number of hours it will take to fill the pool, given the current level of the pool, the rate at which the pool is being filled, and the pool's capacity.
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Wrist bands are $1.25 each. Write a direct proportion equation to show the total cost (c) for any number of bands (b)
Answers
Answer:
\(c=1.25b\)
Step-by-step explanation:
If we know that each band costs $1.25, then we know that 2 bands are $2.50, 3 bands are $3.75 etc. The equation above simply states that each band is $1.25, so $1.25 multiplied by the number of bands gives us a total cost. This follows the formula \(y=kx\), for a direct proportion equation. Hope this helped :)
Which of the following pairs of inequalities are equivalent
x-5> 4 and 2x-10 >8
x- 5 >4 and 2x +10 >8
x+5 >4 and 2x+10 <8
ALL
Answers
Answer:
(a): \(x-5> 4\) and \(2x-10 >8\)
Step-by-step explanation:
Given
Pairs of inequalities
Required
Select which is equivalent
(a): \(x-5> 4\) and \(2x-10 >8\)
Multiply both sides of \(x-5> 4\) by 2
\(2 * (x - 5) > 4 *2\)
\(2 * x - 2*5 > 4 *2\)
\(2x - 10 > 8\)
Hence: \(x-5> 4\) is equivalent to \(2x - 10 > 8\)
(b): \(x-5> 4\) and \(2x+10 >8\)
Multiply both sides of \(x-5> 4\) by 2
\(2 * (x - 5) > 4 *2\)
\(2 * x - 2*5 > 4 *2\)
\(2x - 10 > 8\)
Hence: \(x-5> 4\) is not equivalent to \(2x+10 <8\)
(c): \(x+5> 4\) and \(2x+10 <8\)
Multiply both sides of \(x+5> 4\) by 2
\(2 * (x + 5) > 4 *2\)
\(2 * x + 2*5 > 4 *2\)
\(2x + 10 > 8\)
Hence: \(x+5> 4\) is not equivalent to \(2x+10 <8\)
(1 point) a perfectly circular lake has a diameter of 500 m. if i walk 800∘ around the lake, how far have i walked? round your answer to two decimal places.
Answers
The distance that you have walked around the perfectly circular lake can be determined using the formula for the circumference of a circle, which is C = πd, where C is the circumference
(1 point), π is pi, and d is the diameter.
In this case, the diameter is 500 m, so the circumference of the lake is C = π(500 m) = 1570.8 m. To determine the distance that you have walked, you can use the formula for arc length, which is L = θ/360∘ × C, where L is the arc length, θ is the central angle, and C is the circumference. In this case, θ is 800∘ and C is 1570.8 m, so the distance that you have walked is L = (800∘/360∘) × 1570.8 m = 3489.78 m. Rounded to two decimal places, the distance that you have walked is 3489.78 m, or 3.49 km. Therefore, the answer is 3.49 km.
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Jenna bought a savings certificate that earned 2% simple interest per year. She earned a total of $100 in interest over 4 years. What was the initial value of the certificate?
Answers
Answer: Below
Step-by-step explanation:
An interesting part of this problem is that it derives off of Exponential growth formulas.
So by plugging in the values in the Exponential growth:
\(y = x(1+0.02)^{4}\)
\(y = x(1.02)^{4}\)
What's important is we know the increasing factor, so:
\((1.02)^{4} = 1.0824\)
So now we know 8.24% of something is equal to 100. We can use this to find x, which is our initial value.
x * 0.0824 = 100
x = 100/0.0824
x = 1213.59
The answer is approximately 1213.59
I need the answer to this question please!
Answers
The equivalent expression of 5\(x^{3/2}\) is 5√(x³). The correct option is last one.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression,
5\(x^{3/2}\)
To find the equivalent expression:
We have to simplify the expression,
5\(x^{3.1/2}\)
= 5(x³)\(){1/2}\)
= 5√(x³)
The above expression is an equivalent expression.
Therefore, 5√(x³) is an equivalent expression.
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Answer each question. Would they be functions, or not functions?
Worth lots of points, will mark brainliest!
Answers
Answer:some are not functions and some are functions
Step-by-step explanation:
Which of the following one are true. I NEED HELP PLEASE
Answers
Answer:
p and m or A. and D.
Step-by-step explanation:
what number when multiplied by itself is 23 greater
Answers
Find the balance in the account after the given period.
$5,500 deposit earning 4.5% compounded monthly, after 4 years.
The balance after 4 years will be $__ (Round to the nearest cent as needed.)
Answers
The balance after 4 years will be $6582.48
How to find the balance in the accountFrom the question, we have the following parameters that can be used in our computation:
P is the initial deposit of $5500r is the annual interest rate of 4.5%n is the number of times the interest is compounded in a year (12 for monthly compounding)t is the number of years (4 in this case)The formula for compound interest:
A = P * (1 + r/n)^(nt)
So, we have
A = $5500 * (1 + 0.045/12)^(12 * 4)
Evaluate
A = $6582.48
Hence, the balance is $6582.48
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What is the equation of the line that passes through point P (6, -8) and has a slope of zero?
A.x = 6
B.y = 6
C. x= -8
D. y = -8
Answers
Answer:
A
Step-by-step explanation:
because it is a straight line locate at x = 6 that pass to every y coordinate, so it pass -8 too.