[tex]\stackrel{\textit{\LARGE P~E~M~D~A~S}}{3^2 + 3[ ~~ 2^3 (\sqrt{49}-2^2)(3^2-2^3) -2^2 ~~ ]}\implies 3^2 + 3[ ~~ 2^3 (\sqrt{49}-4)(9-8) -2^2 ~~ ] \\\\\\ 3^2 + 3[ ~~ 2^3 (7-4)(9-8) -2^2 ~~ ]\implies 3^2 + 3[ ~~ 2^3 (3)(1) -2^2 ~~ ] \\\\\\ 3^2 + 3[ ~~ 8 (3)(1) -4 ~~ ]\implies 3^2 + 3[ ~~ 24 -4 ~~ ]\implies 3^2 + 3[ ~~ 20 ~~ ] \\\\\\ 9+3[20]\implies 9+60\implies \text{\LARGE 69}[/tex]
The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = −0.00022x3 + 0.014x2 − 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 ≤ x ≤ 50.
Part 1: The point of maxima is 21.212
Part 2: x = 21.212 is approximately equal to the year 2022
Part 3: The percentage at that time is 16.37%
Part 4: The rate of change of the percentage at that time is 0.294
Part 1:
p(x) = −0.00022x^3 + 0.014x^2 − 0.0033x + 12.236
where x is the number of years since 2000, data from 0<=x<=50
Differentiating the function with respect to x and equating it to 0
p'(x) = -0.00066x^2 + 0.028x - 0.0033
We will find the critical points of p'(x)
p''(x) = dp'(x)/dx = -0.00132x + 0.028
Critical points of p'(x) lies at x where p''(x) = 0
Thus, -0.00132x + 0.028 = 0
x = 0.028/0.00132 = 21.212
Now, p'''(x) = -0.00132<0
x = 21.212 is a point of maxima of p'(x)
Therefore, the maximum possible values of x could lie at x = 21.212 as well as the extreme points of the domain p'(x), i.e. at x = 0 and 50
p'(0) = -0.00066(0)^2 + 0.028(0) - 0.0033 = -0.0033
p'(21.212) = -0.00066(21.212)^2 + 0.028(21.212) - 0.0033 = 0.2936
p'(50) = -0.00066(50)^2 + 0.028(50) - 0.0033 = -0.2533
Hence p'(x) attains maxima at x = 21.212
Therefore, p(x) increases most rapidly at x = 21.212
Part 2:
From the given condition in the question, x = 0 corresponds to the year 2000
Thus x = 21.212 is approximately equal to year 2022
Part 3:
The percentage at that time:
p(x) = −0.00022x^3 + 0.014x^2 − 0.0033x + 12.236
p(21.212) = -0.00022(21.212)^3 + 0.014(21.212)^2 - 0.0033(21.212) + 12.236
= 16.365
= 16.37%
Part 4:
Rate of change of the percentage at that time
p(x) = −0.00022x^3 + 0.014x^2 − 0.0033x + 12.236
p'(21.212) = -0.00066(21.212)^3 + 0.028(21.212) - 0.0033
= 0.2936
=0.294
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write an explicit formula for an, the nth term of the sequence 25,33,41
Answer:
[tex]a_{n}[/tex] = 8n + 17
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence
33 - 25 = 41 - 33 = 8
this indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 25 and d = 8 , then explicit formula is
[tex]a_{n}[/tex] = 25 + 8(n - 1) = 25 + 8n - 8 = 8n + 17
Monarch butterflies travel between 25-100 miles per day during their 2,500-mile journey to Mexico in winter.
What is the range of time it could take a Monarch to reach Mexico based on the variation in travel speeds?
The range of time it could take a Monarch to reach Mexico based on the variation in travel speeds is 25 - 100 days
How to calculate the time range?From the given information, Monarch butterflies travel between 25-100 miles per day during their 2,500-mile journey to Mexico in winter.
Based on the information, the shortest number of days taken will be:
= 2500 / 100
= 25 days
The longest number of days used will be:
= 2500 / 25
= 100 days.
The time range will be 25 - 100 days
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What is the absolute value of |- 32 |?; What is the value of 27 |?; What is the absolute value of |- 12 |?; What is the absolute value of -| 14 |?
The absolute value of |-32| is 32; absolute value of |27| is 27; absolute value of |-12| is 12; absolute value of -|14| is -14.
The Absolute value |x| of a real number x is the non-negative value of x without regard to its sign.
|x| = x ; |-x| = x
Therefore absolute value of
|-32| = 32
|27| = 27
|-12| = 12
- |14| = - 14
Absolute value describes the distance from zero that a number is on the number line , without considering direction. The absolute value of a number is never negative. Sometimes a sign is attributed to a numeric value to signify the direction, in addition to the value.
The absolute value of a number is defined as its magnitude irrespective of the sign of the number.
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Micheal and Imani go out to eat lunch. If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?
Answer:
After tax formulaAfter tax = Bill * (1 + rate)
25.30 = x * (1 + 0.08)
25.30 = x * 1.08
25.30 = 1.08x (divide 1.08 both side)
x = 23.43
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Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Tell Emily safe for trip look back over her spending habits on this page and page 9 what changes do you think she should make to save enough money for her trip explain your answer?
The total amount Emily spent each month for 20 days will be $142.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this situation, Emily spends $4.85 on a latte and $2.25 on a scone. The total amount spent for 20 days will be:
= (4.85 + 2.25) × 20
= 7.1 × 20.
= 142
The amount is $142.
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In a traditional IRA account, a
$1000.00 investment is taxed at 12%.
In a Roth IRA account, the $1000.00
investment is taxed at 10%. Which
plan reduces the overall tax burden?
A. The Traditional will reduce the tax burden because it's applied at a
higher percentage.
B. Both tax burdens will come out the same since both tax
calculations start with a $1000.00 account.
C. The Roth IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
D. The Traditional IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
C. The Roth IRA reduces the tax burden because its taxes are calculated in a lower bracket.
In a traditional IRA, contributions may be tax-deductible in the year they are made, but withdrawals in retirement are taxed as ordinary income. This means that the $1000.00 investment in a traditional IRA would be taxed at the investor's ordinary income tax rate when it is withdrawn in retirement. If the investor's ordinary income tax rate is 12%, then the tax burden on the $1000.00 investment in a traditional IRA would be $120.00.
In a Roth IRA, contributions are not tax-deductible, but withdrawals in retirement are tax-free. This means that the $1000.00 investment in a Roth IRA would be taxed at the investor's ordinary income tax rate when it is made, but it would not be taxed when it is withdrawn in retirement. If the investor's ordinary income tax rate is 10%, then the tax burden on the $1000.00 investment in a Roth IRA would be $100.00.
Overall, the tax burden on the $1000.00 investment in a Roth IRA is lower than the tax burden on the same investment in a traditional IRA because the taxes on the Roth IRA are calculated in a lower bracket (10% vs 12%).
The actual voltages of power packs labeled as 12 volts are as follows: 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77.
Referring to Table 1 a confidence interval for this sample would be based on the t distribution with __________ degrees of freedom.
Referring to Table 1, the critical value for a 99% confidence interval for this sample is __________.
Referring to Table 1, a 99% confidence interval for the mean voltage of the power packs is from __________ to __________.
For this sample, a confidence interval based on the t distribution with 95% degrees of freedom would be appropriate.
Confidence interval: What is it?In most research, the 95% confidence interval (95 CI) is reported. If the confidence interval (e.g., 95%CI 0.9-1.1) crosses 1, it is assumed that there is no difference between the research arms.
In the two-tailed t table, determine the critical value of t. Add s/n to the crucial value of t. Calculate the top limit of the confidence interval by adding this value to the mean, and the lower limit by deducting this value from the mean.
With a significance level of 0.05 (i.e., a confidence level of 95%), the confidence interval is calculated using the T function.
The critical value for a 99% confidence interval for this sample, according to Table 1, is 2.576.
The t distribution is a symmetric distribution with a peak in the middle that gets closer to the horizontal axis as it moves away from the centre.
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What numbers have a LCM of 24?; What is the least common multiple of 2 6 and 12?; How do you find the LCM of 2 numbers?; What is the least common multiple of 12?
A LCM is smallest number among all common multiples of the given numbers. LCM of 24 is 2³ × 3
The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers
There are 3 methods to find the least common multiple of two numbers.
LCM by Listing MethodLCM by Prime Factorization MethodLCM using Division MethodAccording to the question,
(a) LCM of 24 : 2³ × 3
(b) LCM of 2 , 6 , 12 : 2 × 2 × 3
(c) To find the LCM of two number use the prime factorization of each number and then the product of the highest powers of the common prime factors will be the LCM of those numbers.
(d) Least common factor of 12 : 2 × 2 × 3
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The exact values of the inverse trigonometric functions are introduced below:
a) π / 6 or 11π / 6.
b) 0 or 2π.
c) 2π / 3 or 4π / 3.
How to determine the exact angles associated to an inverse trigonometric functionIn this problem we must determine the exact values of three inverse trigonometric functions, all of them from inverse cosine function. This can be found only easily for certain cases. For the case of the inverse cosine in [0, 2π], there are the following values:
cos⁻¹ 0 = π / 2 or 3π / 2
cos⁻¹ 1 = 0 or 2π
cos⁻¹ (- 1) = π
cos⁻¹ (√3 / 2) = π / 6 or 11π / 6
cos⁻¹ (- √3 / 2) = 5π / 6 or 7π / 6
cos⁻¹ (1 / 2) = π / 3 or 5π / 3
cos⁻¹ (- 1 / 2) = 2π / 3 or 4π / 3
Then, by direct inspection we get the following results:
a) cos⁻¹ (√3 / 2) = π / 6 or 11π / 6
b) cos⁻¹ 1 = 0 or 2π
c) cos⁻¹ (- 1 / 2) = 2π / 3 or 4π / 3
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evaluate the expression 2x−yz , where x=34 , y=−0.2 , and z = 6. responses 0.3 0.3 1.95 1.95 2.7 2.7 i don't know.
the evaluation of the expression 2x−yz is 69.2.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all arithmetic operations that are possible, however division by variables is not one of them. The polynomial x2+x-12 is an illustration of one with one variable. Three terms—x2, x, and -12—are included in this case.
the expression 2x−yz , where x=34 , y=−0.2 , and z = 6.
So putting the value of x,y and z.
2(34)- (-0.2*6) = 68+1.2
=69.2
Hence the evaluation of the expression is 69.2.
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brainly explain why we need to define the vector space p n as the set of all polynomials with degree up to and including n instead of the more obvious set of all polynomials of degree exactly n .
Any n-dimensional vector should be able to be represented in space.
The highest degree of terms is written first when writing a polynomial in its standard form, then the next highest degree, and so on.
If there are multiple variables in a single term, add the exponents of each term together and choose the largest sum or highest power of the variable to determine the polynomial's degree.
It should be possible to represent any n-dimensional vector in space. It can only express polynomials of degree n if it only has terms of degree n.
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a popular online video game can be played on multiple platforms: video game consoles, personal computers, and mobile devices. the game offers 333 gameplay modes: solo, duo, and squad. lee and avery regularly play matches as teammates in duo mode on a video game console. they are curious how their average scores per match compare to other players. they use the game's website to take a large random sample of duo mode players on any platform. the sample has a mean of 585585585 points per match.
Choose 1 answer: a. Only the players in the sample b. Only duo mode players who also play on a video game console c. Players of any mode who play on a video game console d. only Only duo mode players who play on any platform e. Players of any mode on any platform
Only duo mode players who play on any platform .
The correct answer will be Option D.
Given, Popular online video game .
As they have taken the random sample from the population of duo mode players from any of the three platform, in this regard, 558 points will be the legitimate estimate of the mean from that population only as this sample is a part of that population.
In general, we can say 558 points is the point estimate of the mean of the population that play duo mode in any platform.
Hence option D is correct .
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What is the solution of the system of equations? y= x + 2, y = 3x
Answer:
[tex]x = 1 , y = 3[/tex]
Step-by-step explanation:
Note that each equation is equal to y. Set the equations equal to each other:
[tex]y = x + 2\\y = 3x\\\\x + 2 = y = 3x\\x + 2 = 3x[/tex]
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract x from both sides of the equation:
[tex]x + 2 = 3x\\x (-x) + 2 = 3x (-x)\\2 = 3x - x\\2 = 2x[/tex]
Next, divide 2 from both sides of the equation:
[tex]2x = 2\\\frac{2x}{2} = \frac{2}{2} \\x = \frac{2}{2} = 1\\x = 1[/tex]
Next, plug in 1 for x in one of the given equations:
[tex]y = x + 2\\\\x = 1 \\[/tex](given).
[tex]y = (1) + 2\\y = 3[/tex]
[tex]x = 1 , y = 3[/tex] is your answer.
~
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The Mean Corporation manufactures a line of unassembled furniture. Based on historical evidence, the customer service manager knows that the proportion of customers that have not had any problems with assembling the furniture at home is 0.63.
Improvements have been made to the instructions provided with the furniture, and the customer service manager believes that this will increase the proportion of customers that can assemble the furniture without problems (TT) to above 0.63. A hypothesis test is conducted in order to find out.
The null and alternative hypotheses are:
H0: Pi symbol = 0.63
HA: Pi symbol > 0.63
To run the test, the manager randomly selects a sample of 102 people and asks them to assemble a piece of furniture produced by the Mean Corporation. The proportion of people in this sample that succeed is 0.67. You may find this standard normal table useful throughout this question.
a)Calculate the test statistic (z). Give your answer to 2 decimal places.
z =
b)Calculate the P-value. Give your answer as a decimal to 4 decimal places.
P =
The test statistic z = 0.84 and P-value is 0.2005 when there is a line of unassembled furniture produced by The Mean Corporation.
Given that,
There is a line of unassembled furniture produced by The Mean Corporation. The customer care manager is aware that 0.63 of customers have had no issues putting together their furniture at home based on past data.
The null and alternative hypotheses are:
H₀: π = 0.63
H₁: π > 0.63
We have to find
(a) Calculate the test statistic (z).
(b) Calculate the P-value.
We know that,
a) z = p - π / √(π(1-π)/n)
= 0.67 - 0.63 / √(0.63×0.37/102)
= 0.04 / 0.0478
= 0.84
b) p value(one tailed) is 0.2005.
Therefore, The test statistic z = 0.84 and P-value is 0.2005 when there is a line of unassembled furniture produced by The Mean Corporation.
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a rectangle has its base on x-axis and its upper two vertices on the parabola y= 12 - x2. What is the largest area of rectangle?
A rectangle's greatest area is 32 square units.
Given:
A parabola's equation is y = 12 - x2, which is an even function
As a result, its rectangular shape is also even at the origin.
We are aware that the area of a rectangle is equal to its length times its width.
Here,
width = y, length = 2x
A = 2x, where (12 - [tex]x^{2}[/tex])
⇒ A = 24x - 2[tex]x^{3}[/tex]
Consider the A derivative with regard to x.
⇒ A' = 24 - 6 [tex]x^{2}[/tex]
When A' = 0, the area is the largest.
⇒ 24 - 6x2 = 0
⇒ [tex]x^{2}[/tex] = 4
⇒ x = 2
Replace x with its value in y = 12 - [tex]x^{2}[/tex].
⇒ y = 12 - 4
⇒ y = 8
Area = 2(2)(8) = 32
Hence, a rectangle's greatest area is 32 square units.
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(3) construct a quadratic equation
For -1/3 and -2/3
Answer:
y = 9x² +9x +2
Step-by-step explanation:
You want a quadratic equation with roots -1/3 and -2/3.
FactorsWhen p is a root of a polynomial, x-p is a factor. That means your quadratic will have factors (x -(-1/3)) and (x -(-2/3)). If we want integer coefficients, we can multiply each of these by 3:
y = (3x+1)(3x+2)
y = 9x² +9x +2 . . . . . . the result of multiplying it out
5•5/5(5-4)
help me please!!
Answer:
5
Step-by-step explanation:
First, work out parenthesis 5*5/5(1)
Then, Multiply/divide from left to right 25/5(1) -> 5(1) = 5
3 5/2 in radical form
The simplest form of the exponent number of 3^(5/2) is √243.
What is exponential form of a number?
To express numbers that are either too large or too tiny, use exponential notation, which raises the number to the power of the appropriate exponent. The exponent's power might either take the positive or negative form.
For instance, we may express the exponential form of 5 × 5 × 5 × 5 as 5⁴, where 5 is the base and 4 is the power. The power here indicates how many times we are multiplying the base by itself.
Given number is 3^(5/2)
The base of the given number is 3 and exponent 5/2.
Apply the formula a^(m/2) = √a^m in the given number:
3^(5/2) = √3⁵
Putting 3⁵ = 243
3^(5/2) = √243.
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The probability that Callista drives faster than
the speed limit (event A) is 0.34, and the
probability that she gets to a wedding on time
(event B) is 0.45. The probability that she gets to
the wedding on time given that she drives faster
than the speed limit is 0.85. Are events A and B
dependent or independent?
Events A and B dependent as the occurrence of one event affect the chances of the occurrence of the other event.
What is Probability?Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities in equiprobable sample spaces, probability of the union of two events, probability of the complementary event, etc.
Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).
Since we have given that
A be the event that Callista drives faster than the speed limit.
P(A)=0.34
B be the event that she gets to a wedding on time.
P(B)=0.45
The probability that she gets to the wedding on time given that she drives faster than the speed limit is 0.85 i.e.
P(A|B)=0.85
but for A and B to be independent ,
P(A).P(B)= P(A and B)
0.34×0.45=0.153
but,
[tex]P(A|B) = \frac{P(AnB)}{P(B)}[/tex]
P(AnB) = 0.85 x 0.45
P(AnB) = 0.3825
So, P(A∩B) does not satisfy the condition.
Hence, A and B are not independent events.
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9. Six people arrive at a party (A, B, C, D, E, F). They arrive at different times. In how
many ways can they arrive? Find the probability that A arrives first and F arrives last.
Answer: the answer is your mom
Step-by-step explanation:
Answer:
Step-by-step explanation: 720 ways overall , First and Last set = 24 ways, Probability of First and Last happening =130
Whole numbers are written on cards and then placed in a bag. Denzel randomly selects a single card, writes down the number, and then places it back in the bag. He repeats this 110 times.
Denzel calculates the relative frequency of each number card.
Outcome 1 2 3 4 5
Relative Frequency 0.23 0.41 0.09 0.13 0.15
Which statement about Denzel's experiment is true?
Responses
The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
The statement that is true about Denzel's experiment is that D. The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
What is the true statement about the information?Uniform models are only useful for equally likely probabilities, so they are ineffective here. In statistics, a uniform distribution is a type of probability distribution in which every possible outcome has an equal chance of occurring. Because each variable has an equal chance of being the outcome, the probability is constant.
All events have an equal chance of occurring in a uniform probability mode. Rolling any one side of a six-sided fair die, for example, has the same probability: one out of six. In this situation, when Denzel randomly selects a single card, writes down the number, and then places it back in the bag, the probability are different.
Therefore, the correct option is D.
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Assume a company has two divisions, Division B and Division C. Division B has provided the following information regarding the one product that it manufactures and sells on the outside market: Selling price per unit (on the outside market) $ 60 Variable cost per unit $ 44 Fixed costs per unit (based on capacity) $ 8 Capacity in units 20,000 Division C could use Division B’s product as a component part in the manufacture of 4,000 units of its own newly-designed product. Division C has received a quote of $58 from an outside supplier for a component part that is comparable to the one that Division B makes. If the company’s divisional managers are evaluated based on their division’s profits and Division B is currently selling 15,000 units on the outside market, what is Division C’s highest acceptable transfer price if it were to buy 4,000 units from Division B?
Division C’s highest acceptable transfer price if it were to buy 4,000 units from Division B should be $58.
What is the transfer price?The transfer price is the price that Division B should charge Division C for the internal supply of goods or services.
Ordinarily, the transfer price equals the outlay cost (production cost) plus the opportunity cost (profit from selling outside).
The highest acceptable transfer price that Division C should reflect the market price at which Division C could acquire the parts from outside.
Division B:
Outside market selling price per unit = $60
Variable cost per unit = $44
Fixed cost per unit = $8
Capacity in units = 20,000 units
Units sold outside by Division B = 15,000 units
Excess units = 5,000 units (20,000 - 15,000)
Units required by Division C = 4,000 units
Outside supplier's price per unit = $58
Thus, the highest acceptable transfer price should be $58 and not $60.
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For each of the following expression, explain whether the expression
is a sentence or not. If the expression is a sentence, please show at least three models of
the sentence.
1. 3x+2 ≥ {}
2. x-y=1
3. 2x+y > 0
4. x4y+=
For given expressions:
1. 3x+2 ≥ {}
This is not a sentence.
2. x-y=1
This is an open sentence.
3. 2x+y > 0
This is an open sentence.
4. x4y+=
This is not a sentence.
In this question, we have been given some expressions.
We need to check which expression is a sentence.
We know that a mathematical sentence makes a statement about two expressions. The two expressions wither use variables, numbers or combination of both.
1. 3x+2 ≥ {}
this is not a sentence. Because when we use comparision than we must have two value to compare.
2. x-y=1
We know that an open sentence containing the sign ‘=‘
So, above expression is a sentence.
For x = 3 and y = 2,
x - y = 3 - 2
= 1
For x = 9 and y = 8,
x - y = 9 - 8
= 1
3. 2x+y > 0
This is an open sentence, as it is not known whether or not the sentence is true or false
4. x4y+=
This is not a sentence.
Therefore, for given expressions:
1. 3x+2 ≥ {}
This is not a sentence.
2. x-y=1
This is a sentence.
3. 2x+y > 0
This is a sentence.
4. x4y+=
This is not a sentence.
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Which of the following is appropriate to conduct a hypothesis test for the difference between two population proportions under independent sampling.a. In every case.b. Only if n1≥30n1≥30 and n2≥30n2≥30.c. Only if n1p⎯⎯1≥5,n1(1−p⎯⎯1)≥5,n1p¯1≥5,n1(1−p¯1)≥5,n2p⎯⎯2≥5n2p¯2≥5 , and n2(1−p⎯⎯2)≥5.n2(1−p¯2)≥5.d. Only if n1p⎯⎯1≥30,n1(1−p⎯⎯1)≥30,n1p¯1≥30,n1(1−p¯1)≥30,n2p2≥30n2p2≥30 and n2(1−p⎯⎯2)≥30.n2(1−p¯2)≥30.
To conduct a hypothesis test for the difference between two population proportions under independent sampling is,
n1p1 ≥ 5, n1(1−p1) ≥ 5, and n2p2 ≥ 5,n2(1−p2) ≥ 5.
What is population proportion?
In statistics, a population proportion is a parameter that describes a percentage value connected to a population. It is typically denoted by P or the Greek letter π.
As per central limit theorem sample size needs to be greater than 30.
So required conditions are Only if n1 ≥ 30 and n2 ≥ 30.
Also for normal approximation we need the condition
[tex]np \geq 5 and[/tex] n(1 - p) ≥ 5
So one more condition is Only if
n1p1 ≥ 5, n1(1−p1) ≥ 5, and n2p2 ≥ 5,n2(1−p2) ≥ 5
Hence, to conduct a hypothesis test for the difference between two population proportions under independent sampling is
n1p1 ≥ 5, n1(1−p1) ≥ 5, and n2p2 ≥ 5,n2(1−p2) ≥ 5
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How many ways are there to choose six tiles that spell the word WATERS?
Answer:
0
Step-by-step explanation:
I need help with this 1 question. I dont understand how to get it.
Answer:
82 degrees
Step-by-step explanation:
due to the resemblance of 90 degrees
Rewrite the equation `6y=2x+12`into slope intercept form.
Answer:
y=1/3x+2
Step-by-step explanation:
................
Answer:
y=1/3x+2
Step-by-step explanation:
slope intercept form: y=xm+b
6y=2x+12
/6 /6
y=2/6x+2
y=1/3x+2
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nora has $640 to spend at a bicycle store for some new gear and biking outfits. assume all prices listed include tax. she buys a new bicycle for $418.55. she buys 2 bicycle reflectors for $19.39 each and a pair of bike gloves for $27.23. she plans to spend some or all of the money she has left to buy new biking outfits for $38.86 each. use the drop-down menu below to write an inequality representing oo, the number of outfits she can buy while staying within her budget.
Layla should by not more than 4 outfits in order not to exceed her budget
The inequality expression is n ≤ 4
price of a new bicycles = $418.55
2 bicycle reflectors = $19.39
a pair of bike gloves = $27.23
new biking outfits = $38.86 each
Nora's total money to spend at a bicycle store = $38.86
How to write the required inequalityLayla's spending will never exceed the total spending at the bike shop, so it will be less than or equal to the total of other items
We write the expression as;
$640 ≤ $418.55 + 2 * $19.39 + $27.23 + n * $38.86
where n represents the number of the new biking outfits
$640 - ( $418.55+ 2 * $19.39 + $27.23 ) ≤. + n * $38.86
( $640 - ( $418.55 + 2 * $19.39 + $27.23 ) ) / $38.86≥ n
( $640 - $484.56 ) / $38.86 ≥ n
( $155.44) / $38.86 ≥ n
4 ≥ n
Layla should by not more than 4 outfits in order not to exceed her budget
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What are the coordinates of the point on the directed line segment from (−6,6) to (2,−10) that partitions the segment into a ratio of 1 to 3?
Answer:
I think its (-4,2)
Step-by-step explanation:
