In summary, the critical value for a hypothesis test with an alpha value of 0.01 will be larger than that for an alpha value of 0.05, because the more stringent alpha level requires stronger evidence to reject the null hypothesis.
The critical value for a hypothesis test is determined by the level of significance, which is typically denoted by alpha (α). An alpha level of 0.05 means that the hypothesis test has a 5% probability of rejecting the null hypothesis when it is actually true. An alpha level of 0.01 means that the hypothesis test has a 1% probability of rejecting the null hypothesis when it is actually true.
The critical value is the threshold value beyond which the test statistic is considered to be significant. As the alpha level decreases, the critical value increases. This is because a smaller alpha level implies a greater level of confidence in the test results, and therefore a more stringent threshold for declaring statistical significance.
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what is 40 divided 180
the answer to 40 divided by 180 is 4.5
consider the series where in this problem you must attempt to use the ratio test to decide whether the series convergespute enter the numerical value of the limit if it converges, inf if the limit for diverges to infinity, minf if it diverges to negative infinity, or div if it diverges but not to infinity or negative infinity. which of the following statements is true?a. the ratio test says that the series converges absolutely.b. the ratio test says that the series diverges.c. the ratio test says that the series converges conditionally.d. the ratio test is inconclusive, but the series converges absolutely by another test or tests.e. the ratio test is inconclusive, but the series diverges by another test or tests.f. the ratio test is inconclusive, but the series converges conditionally by another test or tests.enter the letter for your choice here: ?
The value of limit, [tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex] < 1, for a series [tex] \sum_{n= 1}^{\infty}a_n \\ [/tex], where [tex]a_n = \frac{ ( 6n + 7)8^{n+4} }{11^n}[/tex], then by ratio test says series is absolutely convergent. So, option(a) is true.
Ratio test is one of that is used to determine the convergence or divergence of infinite series. It states that [tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex]
If L< 1, then ∑an converges absolutely.If L>1, or the limit goes to ∞, then ∑an diverges.If L=1 or if L does not exist, then we say the Ratio Test fails.We have a series, [tex] \sum_{n= 1}^{\infty}a_n \\ [/tex], where [tex]a_n = \frac{ ( 6n + 7)8^{n+4} }{11^n}[/tex]. We have to check the convergence of above series with the help of ratio test. Here, [tex]a_n = \frac{ (6n + 7)8^{n+4} }{11^n}[/tex].
[tex]a_{n+1} = \frac{(6(n+1)+ 7)8^{n + 1+4 }}{11^{n+1}}[/tex]
[tex]= \frac{(6n+ 13)8^{n + 5}}{11^{n+1}}[/tex].
Now, [tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex]
[tex] = \lim_{n→∞} |\frac{\frac{(6n+ 13)8^{n + 5}}{11^{n+1}}}{\frac{(6n +7 )8^{n +4 }}{11^{n}}}|\\ [/tex]
[tex] = \lim_{n→∞} |\frac{(6n+ 13)8^{n + 5}}{11^{n+1}}×\frac{11^{n}}{(6n +7 )8^{n +4 }}|\\ [/tex]
[tex] = \frac{8}{11}\lim_{n→∞} |\frac{6n+ 13}{6n+7 }|\\ [/tex]
[tex] = \frac{8}{11}\lim_{n→∞} |\frac{n(6+ \frac{ 13}{n})}{n(6 +\frac{7}{n} )}|\\ [/tex]
[tex] = \frac{8}{11} = 0.72 [/tex] < 1
=> L < 1 , so, from ratio test ∑an converges absolutely. Hence, series is convergent.
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Complete question:
consider the series [tex] \sum_{n= 1}^{\infty}a_n \\ [/tex], where [tex]a_n = \frac{ ( 6n + 7)8^n }{11^n}[/tex]
in this problem you must attempt to use the ratio test to decide whether the series converges
compute
[tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex]
enter the numerical value of the limit if it converges, inf if the limit for diverges to infinity, minf if it diverges to negative infinity, or div if it diverges but not to infinity or negative infinity.
which of the following statements is true?
a) the ratio test says that the series converges absolutely
.b) the ratio test says that the series diverges.
c) the ratio test says that the series converges conditionally.
d). the ratio test is inconclusive, but the series converges absolutely by another test or tests.
e) the ratio test is inconclusive, but the series diverges by another test or tests
.f) the ratio test is inconclusive, but the series converges conditionally by another test or tests.
enter the letter for your choice here: ?
A submarine starts moving down in water at the rate of 6metre per minute. After some time it reaches a depth of 60metre. How will this distance be represented. ? How much time will the submarine take to reach this level?
Answer: It moves 60 metres in 60/6 mins, or 10 minutes. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed
Step-by-step explanation: 10 is your answer
Hope this helps
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Joanie built a pool. How many cubic feet of water can fit in the pool?
Solve on paper, then enter your answer on Zearn. You can use the calculator to help you solve.
L-shaped prism with side lengths labeled: 4 ft, 8 ft, 6 ft, 12 ft, 2 ft, 10 ft and 4 ft.
Joanie's pool
cubic feet of water can fit in the pool.
The volume of the pool is 528 cubic feet.
Determine the volumes of each rectangular prism separately and then add them up to determine the volume of Joanie's pool. The rectangular prisms have the following measurements:
4 ft x 8 ft x 6 ft
12 ft x 2 ft x 10 ft
4 ft x 4 ft x 6 ft
Multiply the first rectangular prism's length, width, and height to determine its volume:
4 ft x 8 ft x 6 ft = 192 cubic feet
Multiply the length, width, and height to determine the volume of the second rectangular prism:
12 ft x 2 ft x 10 ft = 240 cubic feet
Multiply the third rectangular prism's length, width, and height to determine its volume:
4 ft x 4 ft x 6 ft = 96 cubic feet
The volumes of the three rectangular prisms are now added up:
192 cubic feet + 240 cubic feet + 96 cubic feet = 528 cubic feet
Therefore, the pool can hold 528 cubic feet of water.
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Joel has 40$ in a savings account that earns 10% interest per year. The interest is not compounded. how much will he have in 5 total years
Answer: $1,100 per month for 10 years, if the account earns 2% per year
Step-by-step explanation: $1,100 per month for 10 years, if the account earns 2% per year What the student or parent is asking is: If they deposit $1,100 per month in a savings/investment account every month for 10 years, and they earn 2% per year, how much will the account be worth after 10 years? Deposits are monthly. But interest crediting is annual. What we want is to match the two based on interest crediting time, which is annual or yearly. 1100 per month. * 12 months in a year = 13,200 per year in deposit Since we matched interest crediting period with deposits, we now want to know: If they deposit $13,200 per year in a savings/investment account every year for 10 years, and they earn 2% per year, how much will the account be worth after 10 years? This is an annuity, which is a constant stream of payments with interest crediting at a certain period. [SIZE=5][B]Calculate AV given i = 0.02, n = 10[/B] [B]AV = Payment * ((1 + i)^n - 1)/i[/B][/SIZE] [B]AV =[/B]13200 * ((1 + 0.02)^10 - 1)/0.02 [B]AV =[/B]13200 * (1.02^10 - 1)/0.02 [B]AV =[/B]13200 * (1.2189944199948 - 1)/0.02 [B]AV =[/B]13200 * 0.21899441999476/0.02 [B]AV = [/B]2890.7263439308/0.02 [B]AV = 144,536.32[/B]
what is the difference between a record and a field? a record is a single piece of information in a field. a field is a single piece of information in a record
The statement provided is actually the opposite of the correct definitions.
In database terminology, a field refers to a single piece of information that is stored in a database table. A field can contain a variety of data types such as text, numbers, dates, and so on. For example, in a database table of customer information, there might be fields for the customer's name, address, phone number, and email.
A record, on the other hand, is a complete set of information about an entity in a database. A record consists of a collection of fields that are all related to each other. For example, in the customer information table mentioned above, a single record might represent a specific customer, and would contain all the fields related to that customer (name, address, phone number, email, etc.).
So to summarize, a field is a single piece of information within a record, while a record is a collection of related fields that together represent a complete set of information about an entity in a database.
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Function (g) can be thought of as a scaled version of f(x)=x^2
Write an equation for g(x).
The equation for the scaled version of the function f(x) = x² is g(x) = a × x²
The function g(x) can be considered a scaled version of the function f(x) = x². To create a scaled version of a function, we can multiply the original function by a scaling factor. Let's call this scaling factor "a." Now, the equation for g(x) can be written as:
g(x) = a ₓ f(x)
Since f(x) = x², we can substitute it into the equation for g(x):
g(x) = a ₓ x^2
In this equation, "a" represents the scaling factor. If "a" is greater than 1, the function g(x) will stretch vertically, meaning its parabola will be more narrow compared to f(x). If "a" is between 0 and 1, the function g(x) will be compressed vertically, resulting in a wider parabola. If "a" is negative, the parabola will be reflected over the x-axis.
In summary, the equation for the scaled version of the function f(x) = x² is g(x) = a × x², where "a" is the scaling factor. Depending on the value of "a," the resulting parabola will be either stretched or compressed vertically, and may be reflected over the x-axis if "a" is negative.
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A laptop has 2 year warranty. The moon lifespan of the laptop is 3.8 years, with a standart deviation of 0.58 years.
If a store sells 5000 laptops. How many of these players will fail before warranty expires?
Please someone help me
the ages of all employees at a small convenience store are 40, 30, 36, and 22. what is variance of ages for this population?
With employees ranging in age from 40 to 30, 36 to 22, there is a 46-year age difference between them. The average difference between each age and the population's mean age is measured.
We employ the following formula to determine the variance of a population:
σ² = Σ(x - μ)² / N
σ² = Σ(x - μ)² / N
where:
σ² = the population variance
Σ = the sum of
x = the value of each element in the population
μ = the population mean
N = the population size
First, we need to find the population mean:
μ = (40 + 30 + 36 + 22) / 4 = 32
Next, we calculate the sum of the squared deviations from the mean:
(40 - 32)² + (30 - 32)² + (36 - 32)² + (22 - 32)² = 64 + 4 + 16 + 100 = 184
Then, we divide the sum of squared deviations by the population size:
σ² = Σ(x - μ)² / N = 184 / 4 = 46
Therefore, the population variance is 46.
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Aisha Brewer’s checking account has a balance of $523.45. She has a check for $435.62 and a check for $65.98. She would like to receive $40 in cash and deposit the rest of the money in her checking account. What is Aisha’s total deposit and what will her checking balance be?
Answer:
Total deposit: $501.6
Total Balance: $985.05
Step-by-step explanation:
Aisha's original total is 523.45. Since she is depositing a check for $435.62 and a check for 65.98, you add both check totals to the original balance, by lining up the numbers and adding down the line. This will be the total deposit:
435.62
+ 65.98
=
$501.6
$501.6 is the total deposit. To find the total checking balance, add the total deposit to $523.45.
523.45
+501.6
=
1025.05
This is her total balance before Aisha receives $40.
Next, you subtract what she wants to deposit, $40, since she is taking $40 out of her checking account.
1025.05
- 40.00
=
985.05
The total checking balance is $985.05
1/5logx-log1000=3 how do I solve this question please
Having simplified the above equation, the solution to the expression x = 10³⁰
How did we arrive at that ?We can simplify the equation using logarithmic rules
1/5 log x - log 1000 = 3
log[tex]x^{1/5}[/tex] - log 1000 = 3
log ([tex]x^{1/5}[/tex] /1000) = 3
[tex]x^{1/5}[/tex] /1000 = 10³
[tex]x^{1/5}[/tex]= 1000 * 10³
[tex]x^{1/5}[/tex] = 10⁶
x = (10⁶)⁵
x = 10³⁰
Therefore, the solution to the equation is x = 10³⁰
Note that the logarithm is the inverse function of exponentiation in mathematics. That is, the exponent to which b must be increased to obtain x is the logarithm of a number x to the base b. For example, since 1000 = 10³, 1000's logarithm base 10 is 3, or log₁₀ = 3.
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The width of a rectangle is the length minus 5 units. The area of the rectangle is 6 square units. What is the length, in units, of the rectangle?
Answer: 6 units
Step-by-step explanation:
let w=width, a=area, and l=length
given:
w=l-5
a=6
solve with the formula a=l*w
a=l*w
6=l*(l-5)
6=l^2-5l
0=l^2-5l-6
0=(l-6)(l+1)
l=6 or l=-1
the length can't be negative, so l=6
Add the following expressions: 2.1 2a + 3b; 4a - 8b
The addition of the given expression will gives 6a - 5b
Since we know that numerical expression is an algebraic information stated in the form of numbers and variables that are unknown.
WE are given the expression as;
2a + 3b; 4a - 8b
We need to add the expression so,
2a + 3b + 4a - 8b
Combine the like terms then we get;
2a + 4a + 3b - 8b
6a - 5b
The simplification of the given expression will be 6a - 5b.
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The table shows changes in the number of subscribers to a community newsletter over a six-month period. Change in the Number of Subscribers: +8 +6 -12 +5 -9 -10
a) What was the mean change per month in the number of subscribers?
b) There were 207 subscribers at the beginning of this period. How many were there at the end?
the equation of a circle is (x-3)^2 + (y-2)^2 = 4. the circle is translated 2 units to the right and 4 units up and then is dilated by a factor of 3. what is the equation of the new circle
Answer:
The equation of the new circle will be x^2 - 10x + y^2 - 12y + 25 = 0.
Step-by-step explanation:
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Write the equation of the circle centered at (4, - 8) that passes through (16, 19)
Answer:
(x -4)² +(y +8)² = 873
Step-by-step explanation:
You want the equation of the circle with center (4, -8) through point (16, 19).
EquationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The value of r² can be found by evaluating the left-side expression at the given point:
(x -4)² +(y -(-8))² = (16 -4)² +(19 +8)² = 144 +729
(x -4)² +(y +8)² = 873 . . . . . . . circle equation
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suppose i have an organization that has 60 people, 35 are women and 25 are men. we need to select a committee of 11 people. how many ways can such a committee be formed? question 4 options:
There are 342,700,125,300 ( or 60C11 ) ways of selecting 11 members for a committee from organization of 60 member by applying Combinations.
There are 60 people in total in my organisation where there are 35 women and 25 men.
A committee is to be formed where we need to select 11 people from 60 people of the organization.
The total number of ways the commicommittee can be formed is calculated with the help of combinations and permutations.
Since we are not specified that there will be some order in selection of committee members so we can assume that there is no such order.
Therefore, we apply the formula of combinations as the order of items does not matter in case of combinations.
Number of ways the committee can be formed is = nCr = [tex]\frac{n!}{(n-r)!(r!)}[/tex]
where, n is the total number of people in the organization and r is the number of people we require in the committee.
Thus, Number of ways the committee can be formed is = 60C11
= [tex]\frac{60!}{(60- 11)!(11!)}[/tex]
= 342,700,125,300
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a scientist listed the volumes, in milliliters, of some liquids used in an experiment.
1.23
1.078
1.203
1.17
which choice correctly compares the volumes, in milliliters of two of these liquids.
A) 1.23 < 1.203
B) 1.078 >1.17
C) 1.17 >1.203
D) 1.078 < 1.23
The choice correctly compares the volumes, in milliliters of two of these liquids is,
⇒ 1.078 < 1.23
We have to given that;
A scientist listed the volumes, in milliliters, of some liquids used in an experiment.
1.23
1.078
1.203
1.17
Now, We get;
By all the options;
⇒ 1.078 < 1.23
Thus, The choice correctly compares the volumes, in milliliters of two of these liquids is,
⇒ 1.078 < 1.23
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Lori made a cake her brother ate 3/4 of it what decimal repesents 3/4
Answer:
0.75
Step-by-step explanation:
Greg had a full carton of eggs. He used 1 over 3 of the eggs for a cake. Then he used 1 egg for an omelet.
. determine whether the integers in each of these sets are pairwise relatively prime. a) 11, 15, 19 b) 14, 15, 21 c) 12, 17, 31, 37 d) 7, 8, 9, 1
The integers that are pairwise relative are;
(a) 11, 15, 19
(c) 12, 17, 31, 37
(d) 7, 8, 9, 1
Which integers are pairwise relative?To determine if the integers are pairwise relative, their greatest common divisor (GCD) must be 1.
(a) for first question;
11, 15, 19 have no common factor, so they meet the condition.
(b) for second question; 14, 15, 21
14, 15, 21, 14 and 21 have a common factor of 7, so these integers are not pairwise relative.
(c) for 12, 17, 31, 37, no common factor
(d) for 7, 8, 9, 1, no common factor other than 1.
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It takes Tim 4.5 hours to run 50 kilometers. Which expression will
allow him to change this rate to minutes per mile?
Answer:
To change Tim's running rate from kilometers per hour to minutes per mile, we need to use unit conversion factors.
First, we need to convert the distance from kilometers to miles. One kilometer is equal to 0.621371 miles. Therefore, 50 kilometers is equal to:
50 km * 0.621371 mi/km = 31.06855 miles
Next, we need to convert the time from hours to minutes. One hour is equal to 60 minutes. Therefore, 4.5 hours is equal to:
4.5 hours * 60 min/hour = 270 minutes
Now, we can calculate Tim's running rate in minutes per mile by dividing the time by the distance:
270 min / 31.06855 miles = 8.69805 minutes per mile
So the expression that will allow Tim to change his running rate to minutes per mile is:
(4.5 hours * 60 min/hour) / (50 km * 0.621371 mi/km)
Step-by-step explanation:
duh
I need to find what LM is please help
The length of teh segment LM in the shape is 2 units
From the question, we have the following parameters that can be used in our computation:
The square
Given that
Diagonal = LN
And
LK = 1
Thel length LN ic alculated as
LN = 2 * LK
substitute the known values in the above equation, so, we have the following representation
LN = 2 * 1
Evaluate
LN = 2
Hence, the length is 2
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Hi there! I'm looking for help on this problem. I'm not very good at algebra, especially the graphing part. Could someone explain it to me thoroughly? I've tried asking various people, watching videos, and even reading some articles, but it just didn't stick. It's either way too much information that I get overwhelmed or it's too fast paced. Here's a screenshot!
Here you go I hope this helps you with 2 pictures here.. continuation of the other enjoy I hope I wasn't too late.
4% sales tax on the sale of an article is ₹2. What is the amount of sale
The triangle below is isosceles. Find the length of side & in simplest radical form with
a rational denominator
Answer: x = 10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We are given that this is an isosceles triangle and the little box represents 90 degrees. This means that both the "legs" of the triangle are equal to 10 and the hypotenuse is equal to x. Since this is a right triangle, we can use the Pythagorean theorem to solve.
a² + b² = x²
10² + 10² = x²
100 + 100 = x²
200 = x²
[tex]\sqrt{200}[/tex] = x
x = [tex]\sqrt{200}[/tex]
x = [tex]\sqrt{2*100}[/tex]
x = 10[tex]\sqrt{2}[/tex]
Math lib equations of circles
The equation of the circle is given by
A. (x - 2)² + y² = 234How to determine the equation of a circleInformation given in the question
coordinates of the diameter (17, -3) and (-13, 3)
The equation of circle. is given according t the formula
(x - h)²+ (y - k)² = r²
where
h and k refers to points at the center,
Points at the center is solved by
x-coordinate (h)
= (17 + (-13)) / 2
= 4 / 2
= 2
y-coordinate (k)
= (-3 + 3) / 2
= 0 / 2
= 0
So, the center of the circle is (2, 0).
comparing with the given options only A has centers as (2, 0) hence option A is the best choice
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a population of 240 birds increases at a rate of 16% annually. jemel writes an exponential function of the form f(x)=ab^x to represent the number of birds after x years. which values should she use for a and b?
To find the values of a and b, we need to use the given information about the population and the growth rate.
At the start (x=0), the population is 240 birds. This means that f(0) = 240, which gives us the value of a in the function:
f(0) = ab^0 = a = 240
Next, we need to find the value of b. We know that the population increases at a rate of 16% annually, which means that it grows by a factor of 1.16 each year. In other words, b = 1.16.
Therefore, the exponential function that represents the number of birds after x years is:
f(x) = 240(1.16)^x
Note that the value of b is greater than 1, which means that the function represents exponential growth.
Answer:
Step-by-step explanation:
To find the values of a and b in the exponential function, we need to use the given information about the population growth rate.
The formula for exponential growth is:
f(x) = a * (1 + r)^x
where:
a = initial value
r = growth rate
x = time
In this case, we know that the initial population is 240 birds and the growth rate is 16% per year. We can convert the percentage to a decimal by dividing by 100:
r = 16% / 100 = 0.16
Now we can plug in the values we have:
f(x) = a * (1 + r)^x
f(x) = 240 * (1 + 0.16)^x
Simplifying:
f(x) = 240 * 1.16^x
So the values for a and b are:
a = 240
b = 1.16
Which of the following vectors is perpendicular to (-4,2)?
a) (-3.6)
b) (-1,-2)
c) (2,-3)
d) (4,-8)
The vectors is perpendicular to (-4,2) will be (b) (-1,-2)
What is dot product of two vectors?The dot product of two vectors is found by multiplying the corresponding components of the vectors and adding the results. which is, if the two vectors are (a, b) and (c, d), their dot product is ac + bd.
To calculate the dot product of (-4, 2) with each of the given vectors:
a) (-3.6):
(-4)(-3.6) + (2)(-3.6) = 14.4 - 7.2 = 7.2
b) (-1, -2):
(-4)(-1) + (2)(-2) = 4 - 4 = 0
c) (2, -3):
(-4)(2) + (2)(-3) = -8 - 6 = -14
d) (4, -8):
(-4)(4) + (2)(-8) = -16 - 16 = -32
Therefore, the vector that is perpendicular to (-4, 2) is option (b) (-1,-2).
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If the population standard deviation of a sample increases without other changes, what is most likely to happen to the confidence interval?
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.
This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.
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