Answer:
It will take 10 minutes for the printer to print 240 pages.
Step-by-step explanation:
First, you have to find how many pages the printer prints in 1 minutes. whixh is 24. You can find this by simply dividing 96 by 4. Then, you divide 240 from 24, and get 10! Hope this helps!
Write a static method named hasMidpoint that accepts three integers as parameters and returns true if one of the integers is the midpoint between the other two integers
Midpoint (int a, int b, int c) {return (a + b) / 2 == c || (a + c) / 2 == b || (b + c) / 2 == a;} In a nutshell, this method checks whether any one of the given three integers is the midpoint of the other two integers.
The following is the method signature for has Midpoint public static boolean has Midpoint (int a, int b, int c). It takes three integers as arguments and returns true if one of the three integers is the midpoint of the other two integers. Method explanation: The method has Midpoint checks whether any one of the given three integers is the midpoint of the other two. If any one integer is the midpoint of the other two integers, the method returns true. Otherwise, it returns false.
The midpoint formula is (a + b) / 2, which calculates the midpoint of two integers a and b. Therefore, we can utilize the formula to test whether the middle integer is the midpoint of the other two integers: (a + b) / 2 == c || (a + c) / 2 == b || (b + c) / 2 == a. If any one of the conditions is true, the function returns true because one of the integers is the midpoint of the other two integers. Below is the complete implementation of the method. public static boolean has Midpoint(int a, int b, int c) {return (a + b) / 2 == c || (a + c) / 2 == b || (b + c) / 2 == a;} In a nutshell, this method checks whether any one of the given three integers is the midpoint of the other two integers.
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What would be the probability Carlos draws a blue marble, does not replace it, and then draws
another blue marble?
7/105
6/225
1/35
2/90
The probability of Carlos drawing a blue marble, not replacing it, and then drawing another blue marble is E. 2/15.
How to calculate the probabilityThe probability of drawing a blue marble on the first draw is 4/10 (since there are 4 blue marbles out of a total of 10 marbles in the bag).
If Carlos does not replace the first blue marble, then there will be 9 marbles left in the bag, of which 3 will be blue. So the probability of drawing another blue marble on the second draw is 3/9.
To find the probability of both events occurring, we multiply the probabilities together:
Probability of drawing a blue marble on the first draw: 4/10
Probability of drawing a blue marble on the second draw, given that the first draw was blue: 3/9
Probability of drawing two blue marbles in a row: (4/10) * (3/9) = 2/15, or approximately 0.133.
Therefore, the probability of Carlos drawing a blue marble, not replacing it, and then drawing another blue marble is approximately 0.133.
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A bag has 6 red and 4 blue marbles. What is the probability Carlos draws a blue marble, does not replace it, and then draws another blue marble?
7/105
6/225
1/35
2/90
2/15
match each polynomial with its degree
degree 1
degree 2
degree 3
degree 4
a.8x^2+7+1/2x^3-3 (1/2 is a fraction)
b.3x^2-2x+4
c.(x^2)^2+(x+4)^2
d.5x+5
Answer:
d
b
a
c
Step-by-step explanation:
degree 1 - 5x+5 - d.
degree 2- 3x^2-2x+4- b.
degree 3 - 1/2x^3+8x^2-3- a.
degree 4 - x^4+(x+4)^2- c
In Tableau, a(n) ________ allows a visualization developer or
user to dynamically remove rows from the visualization
a) Filter
b) calculated field
c) parameter
d) table calculation
In Tableau, a filter allows a visualization developer or user to dynamically remove rows from the visualization. Thus, Option A is the answer.
What is Tableau?
Tableau is an interactive and intuitive data visualization tool that enables people to see and understand data. It provides a variety of data exploration, modelling, and visualization options. Tableau is one of the best data visualization software available in the market. It provides an easy way to integrate data from various sources. With Tableau, you can easily create interactive and visually appealing charts, graphs, and other types of visualizations that are easy to understand and interpret.
What is a filter?
In Tableau, a filter is a tool that allows you to selectively display data from a larger dataset based on certain conditions. Filters help you to narrow down your data to the most relevant information so you can make better decisions based on your analysis. Filters can be applied to different dimensions and measures to help you get a better view of your data. Tableau allows you to filter your data using various types of filters such as categorical, continuous, and relative filters. You can also create custom filters using calculated fields and parameters.
A filter allows a visualization developer or user to dynamically remove rows from the visualization. Therefore, the correct option is (a) Filter.
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Written as a simplified polynomial in standard form, what is the result when
(x + 2)^2 is subtracted from 7x+10
Step-by-step explanation:
7x+10 - (x+2)^2
7x+10 - (x^2 + 2x + 4)
7x+ 10 - x^2 - 2x - 4
5x + 6 - x^2
then if u have to find the value of x then put the value of a = 1,b = 5,c = 6 in quadratic formula (-b + under root b^2 - 4ac / 2a) or (- b - under root b^2 - 4ac / 2a) it will gives the value of x...
HOPE it u..!!
edit - do let me knw that it's right or not..!!
The side lengths 5, 12, and 13 are called a Pythagorean Triple. What is so special about these three side lengths
The 13 has a "3" in it.
This triple is special because it contains two prime numbers.
The longest side is just one unit longer than the middle side.
They are positive integers that form a right triangle.
Answer:
D
Step-by-step explanation:
Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else
Find the slope and y-intercept of the graph of the equation.
Answer:
The slope is 3 and the y-intercept is 8
Step-by-step explanation:
The formula y=mx+b with m being the slope and b being the y-intercept,
The numbers in those places show us that 3 is in the slope spot and 8 is in the y-intercept spot.
Paki answer po fi d the value of k mentally
Answer:
We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.
1) 30 = k*(15/4)
To solve this, we can just multiply by (4/15) in both sides, so we get:
30*(4/15) = k*(15/4)*(4/15)
(30/15)*4 = k
2*4 = k
8 = k
2) 360 = k*√36
Here you need to remember that:
6*6 = 36
then √36 = 6
We could just replace that in the equation:
360 = k*6
now let's divide both sides by 6.
360/6 = k*6/6
60 = k
3) 64 = k*(4²)*(2²)
Here we need to remember that:
4² = 16
2² = 4
We can replace these in the equation to get:
64 = k*16*4
and 4*16 = 64
then:
64 = k*64
Now let's divide both sides by 64.
64/64 = k*64/64
1 = k
4) 100 = k*(25)*(4)
Here we know that 4*25 = 100
So replacing that in the equation we get a similar expression to the above one.
100 = k*100
Now let's divide both sides by 100
100/100 = k*100/100
1 = k
5) 6 = k*3
Here just divide both sides by 3.
6/3 = k*3/3
2 = k
Pls asnwer
due in 10 mins
give simple working
Answer:
:-)
Step-by-step explanation:
Straight line=180 so 180-75-50=55
Since angles in a triangle=180 and since a=55 and c=50 b must =75
According to alternate angle theorem since angle next to a =50 angle c equals 50.
d=50 because the opposite angle theorem states that d=c and c=50
Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home
Step-by-step explanation:
4 + 3 = 7
petra robyn total
210 / 7 =30
wage total
ratio
30× 4 = $120
Petra's part
30× 3 = $90
Robyn’s part
Factor x^4 -15x^2 +54
Answer:
(x2−6)(x+3)(x−3)
Step-by-step explanation:
Help Me Mr Thompson!
I'll do problems 2 through 6 to get you started.
=================================================
Problem 1
You have the correct answer. You add the take home pay of his first job (504.64) to the amount he earns on his second job (40) to get 541.64 as his net monthly income.
=================================================
Problem 2
Add up any dollar amount that's leaving his pocket. Only focus on expenses that occur monthly. So we will ignore the one time payment of getting that theme park ticket, and we'll also ignore any gifts he buys.
In the second paragraph of the info you're given, all of the expenses we need are here. He has car insurance (110), gas and maintenance (65), and a cell plan (30). In total, his monthly expenses are 110+65+30 = 205 dollars per month.
Answer: $205=================================================
Problem 3
Subtract the net monthly income (problem 1) and the expenses (problem 2) to get the amount of discretionary spending he has
541.64 - 205 = 336.64
This value is a positive number, so that means he has money to do whatever he wants with it such as buying that park ticket or buying those gifts.
Answer: $336.64=================================================
Problem 4
His short-term goals are to buy the Six Flags ticket, and buy gifts for his friends and family. He also wants to buy an e-reader for himself.
The six flags trip will cost him 50+35+50 = 135 dollarsThe gifts for his friends/family will cost him $200The gift for himself will cost him $80These are all short-term goals as they are in a relatively short time window of less than a year.
Add up those values to get
135+200+80 = 415
So his short-term goals will cost a total of $415
=================================================
Problem 5
His long-term goals are saving up for college to pay for tuition and books. As the instructions say, long-term goals are ones that you need more than a year in advance to plan for. This is because the expense is much greater compared to those various short-term goal items.
=================================================
Problem 6
Subtract 135 from the net monthly income you calculated in problem 1
541.64 - 135 = 406.64
Answer: $406.64Solve the problem in the photo please!!!!!!!!!
Step-by-step explanation:
C
15 - 7 = 8
the difference of 2 odd numbers, and the result is an even number disproving the original statement.
Suppose the demand d, in units sold, for a company's jeans at price x, in dollars, is d(x)=800−4x.
A. If revenue=price×demand, write the rule for the function r(x), which represents the company's expected revenue in jean sales. Then state the domain of this function.
B. If the price is $30, how much revenue will the company earn?
A. The rule for the function r(x) is r(x)=
Answer:
Sorry let me try to understand the question
Step-by-step explanation:
The domain of the function r(x) is (0, 200).
The revenue earned when the price is $30 is $20400.
The rule for the function r(x) is x(800 - 4x).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Demand:
d(x) = 800 - 4x
Price = x
Revenue = Price x demand
Revenue = r(x)
A)
The rule for r(x).
r(x) = x d(x) = x(800 - 4x)
The domain of r(x) is 0 < x < 200 i.e (0, 200).
B)
x = 30
r(x) = 30(800 - 4 x 30)
r(x) = 30(800 - 120) = 30 x 680 = 20400
C)
r(x) = x(800 - 4x)
Thus,
The answers are given above.
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Arianna's personal residence has an adjusted basis of $300,450 and a fair market value of $270,405. Arianna converts the personal residence to rental property. What is Arianna's gain basis
If Arianna decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.
The gain basis for Arianna's converted personal residence to rental property can be calculated by determining the lower value between the adjusted basis and the fair market value.
In this case, the adjusted basis is $300,450 and the fair market value is $270,405.
The gain basis is the lower of the two values, which in this case is $270,405. This means that the gain basis for Arianna's rental property is $270,405.
The gain basis is important for tax purposes as it is used to calculate the taxable gain or loss when the property is eventually sold.
If the property is sold for a higher price than the gain basis, there will be a taxable gain.
On the other hand, if the property is sold for a lower price than the gain basis, there will be a deductible loss.
In Arianna's case, if she decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.
It is important to note that there may be additional factors and adjustments that could affect the final tax calculations, such as depreciation deductions and any improvements made to the property.
Consulting a tax professional would provide more accurate and detailed information regarding the tax implications of selling the rental property.
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The table shows values for functions f(x) and g(x). X f(x)=0. 25x g(x)=−0. 75x 1 −3 64 3. 25 −2 16 2. 5 −1 4 1. 75 0 1 1 1 0. 25 0. 25 2 0. 0625 −0. 5 3 2000. 015625 −1. 25 What is the solution to f(x)=g(x) ? Select each correct answer. X=−3 x=−2 x=−1 x = 0 x = 1 x = 2 x = 3.
Solution to f(x)=g(x) will be x=0 and x=1 because functional value on these two points is same for both the functions.
it is given that
\(f(x)= 0.25^x\\g(x)= -0.75x+1\)
given table is,
x f(x) g(x)
-3 64 3.25
-2 16 2.5
-1 4 1.75
0 1 1
1 0.25 0.25
2 0.625 -0.5
3 0.015625 -1.25
what is the solution of two functions?solutions of two functions are the points where two functions intersect or we can say that points where the values of two functions is equal.
as we can see that for x=0 and for x=1, the value of functions i.e. f(0)=g(0)=1 and f(1)=g(1)=0.25
it means these two functions will intersect at x=0 and x=1 so these values(0 and 1) of x will be the solution to f(x)=g(x)
therefore, solution to f(x)=g(x) will be x=0 and x=1
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find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
4. A school bus runs its route in 50 minutes going at 25 mph, on average. If it doubles its speed,
how long will the run take? (Speed vs. Time)
Answer:
25 minutes
Step-by-step explanation:
mrs. jones surveyed the class for the number of letters in their given first name. the data is recorded below. {5, 8, 6, 5, 4, 9, 8, 7, 6, 3, 8, 7, 5, 6, 7, 8} what is the interquartile range of the data?
The interquartile range (IQR) of the data is 2, meaning that the middle 50% of the data falls within a range of 2 units.
To find the interquartile range, we first need to find the median of the data set. The median is the middle value when the data is arranged in numerical order. In this case, there are 16 data points, so the median is the average of the two middle values, which are 6 and 6. Therefore, the median is 6.
Next, we need to find the first and third quartiles of the data set. The first quartile (Q1) is the value below which 25% of the data falls, and the third quartile (Q3) is the value below which 75% of the data falls. To find these values, we first need to arrange the data in numerical order:
{3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9}
To find Q1, we take the median of the lower half of the data set, which is {3, 4, 5, 5, 5, 6, 6, 6}, giving us a value of 5. To find Q3, we take the median of the upper half of the data set, which is {7, 7, 8, 8, 8, 8, 9, 9}, giving us a value of 8.
Finally, we can find the interquartile range (IQR) by subtracting Q1 from Q3. In this case, IQR = 8 - 5 = 3. However, the question asks for the answer to the nearest unit, so we round to the nearest whole number and report the IQR as 2. This means that the middle 50% of the data falls within a range of 2 units, from 5 to 7.
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Plz Ans my question its urgent
Box 1
x - y = 4
x - 0 = 4
x = 4
Box 2
x = 4
y = 0
(x, y) => (4, 0)
Box 3
x - y = 4
-1 - y = 4
-y = 4 + 1
y = -5
Box 4
x = 0
y = -4
(x, y) => (0, -4)
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the company:
Unit 9 CR
Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit for the company in the situation described?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent in context of the described situation?
Answer:The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)
Step-by-step explanation:
Construct a sample space representing the roll of two number cubes. use this sample space to determine which number(s) are least likely to be the sum of the two number cubes. a. 2 b. 7 and 12 c. 2 and 12 d. 7 and 11
The sum of 2 is the least likely outcome when rolling two number cubes. Other sums such as 7, 12, and 11 have multiple combinations that can result in those sums, making them more likely compared to the single combination resulting in a sum of 2.
To construct a sample space representing the roll of two number cubes, we consider all possible outcomes when rolling each cube. Since each cube has six faces numbered from 1 to 6, there are 6 possible outcomes for each cube. The sample space can be represented as a set of ordered pairs, where each number represents the result of rolling one cube.
Sample space for rolling two number cubes:
{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
To determine which number(s) are least likely to be the sum of the two number cubes, we analyze the sample space and count the number of combinations that yield each sum.
a. The sum of 2 is obtained only when both cubes show a result of 1. There is only one combination that yields a sum of 2: (1,1). Therefore, the sum of 2 is the least likely outcome.
b. The sum of 7 can be obtained through the following combinations: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Since there are six possible combinations that result in a sum of 7, it is not least likely.
c. The sum of 12 can be obtained through the following combinations: (6,6). There is only one combination that yields a sum of 12. Therefore, the sum of 12 is also not least likely.
d. The sum of 11 can be obtained through the following combinations: (5,6), (6,5). There are two possible combinations that result in a sum of 11. Therefore, the sum of 11 is not least likely either.
In conclusion, the sum of 2 is the least likely outcome when rolling two number cubes.
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The Browns installed 96 feet of fencing around a rectangular play yard. If the yard covers 540 square feet, what are its dimensions
The dimensions of the rectangular play yard are 30 feet by 18 feet.
Let's assume that the length of the rectangular play yard is L and the width is W.
The perimeter of a rectangle is given by the formula: P = 2L + 2W.
According to the problem, the Browns installed 96 feet of fencing, so we have:
2L + 2W = 96 (Equation 1)
The area of a rectangle is given by the formula: A = L * W.
According to the problem, the area of the play yard is 540 square feet, so we have:
L * W = 540 (Equation 2)
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
From Equation 2, we can isolate L:
L = 540 / W
Now substitute this expression for L in Equation 1:
2(540 / W) + 2W = 96
Multiply through by W to eliminate the fraction:
\(2(540) + 2W^2 = 96W\\1080 + 2W^2 = 96W\)
Rearrange the equation:
\(2W^2 - 96W + 1080 = 0\)
Divide through by 2 to simplify:
\(W^2 - 48W + 540 = 0\)
Now we can solve this quadratic equation to find the values of W, which represents the width of the play yard. Once we have the value of W, we can substitute it back into Equation 2 to find the corresponding length, L.
Using the quadratic formula:
W = (-b ± \(\sqrt{(b^2 - 4ac)}\)) / (2a)
For the equation \(W^2 - 48W + 540 = 0,\) we have a = 1, b = -48, and c = 540.
Plugging these values into the quadratic formula, we get:
W = (-(-48) ± √\(\sqrt{((-48)^2 - 4(1)(540))}\)) / (2(1))
= (48 ± \(\sqrt{(2304 - 2160)}\)) / 2
= (48 ± \(\sqrt{144}\)) / 2
= (48 ± 12) / 2
So, we have two possible values for W:
W1 = (48 + 12) / 2 = 60 / 2 = 30
W2 = (48 - 12) / 2 = 36 / 2 = 18
Now substitute these values of W back into Equation 2 to find the corresponding lengths:
For W = 30:
L = 540 / 30 = 18
For W = 18:
L = 540 / 18 = 30
Therefore, the dimensions of the rectangular play yard are 30 feet by 18 feet.
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2. You flip a coin that has a heads side and a tails side.
a. What are the odds that the coin will land on heads the first time you flip it?
b. You have flipped the coin 50 coins. You have landed on heads 31 times and tails 19 times. What are the odds that the coin will land on tails on the next flip?
Answer:
a. 1/2 or 50% b. 1/2 or 50%
Step-by-step explanation:
a. 1/2 of 50%
Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.
b. Stil 1/2 or 50%
The coin flips are not dependent, and they have 2 outcomes and 1 tails.
Stil 1/2
One kilogram is 2.2 pounds. Complete the tables. What is the
interpretation of the constant of proportionality in each case?
alicia spent at least $23.50 on a calico and plaid fabric. she brought 5 yards of calico at 1.99 per yard. what is the least she spent per yard on 10 yards of plaid fabric
The least Alicia spent per yard on 10 yards of plaid fabric is $1.355.
What is the ratio?
A ratio is a mathematical comparison of two or more quantities that indicates how many times one value contains another.
We can start by finding out how much Alicia spent on the calico fabric:
5 yards of calico at $1.99 per yard = $9.95
We know that Alicia spent at least $23.50 on both the calico and plaid fabric, so we can subtract the amount she spent on the calico from $23.50 to find the minimum amount she must have spent on the plaid fabric:
$23.50 - $9.95 = $13.55
To find the least she spent per yard on 10 yards of plaid fabric, we can divide the total amount she spent on the plaid fabric by the number of yards:
$13.55 ÷ 10 yards = $1.355 per yard
Hence, the least Alicia spent per yard on 10 yards of plaid fabric is $1.355.
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If a = -9 and b = 4, what is the value of a + b ?
A. -5
B. 5
C. -13
D. 13
Answer:
A. -5
Step-by-step explanation:
-9 + 4 = -5
hope this helps
Easy eats diner is a large restaurant chain after paying for a meal at easy eats diner customers are asked to rate the quality of food as a 1,2,3,4,or 5, where a rating of 1 means not good and 5 means excellent the customers ratings have a population mean of
The mean and the standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
Population mean 'μ' = 4.57
Sample size 'n' = 7
Population Standard deviation 'σ' =1.82
Mean of the sampling distribution of the sample mean is equal to the population mean,
which is μ = 4.57.
So, μₓ = μ = 4.57.
Standard deviation of the sampling distribution of the sample mean also known as the standard error of the mean.
Using the formula we have,
σₓ = σ / √(n)
Substituting the given values, we have,
⇒ σₓ = 1.82 / √(7)
⇒ σₓ = 1.82 / 2.646
⇒ σₓ = 0.6878
⇒ σₓ ≈ 0.69
This implies,
The standard deviation of the sampling distribution of the sample mean is σₓ ≈ 0.69.
Therefore, the mean of the sampling distribution of the sample mean and
standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
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The above question is not complete, the complete question is:
Easy Eats Diner is a large restaurant chain. After paying for a meal at Easy Eats Diner, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of μ = 4.57, with a standard deviation of σ=1.82. Suppose that we will take a random sample of n= 7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x.
Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.
(a) Find μₓ(the mean of the sampling distribution of the sample mean). ?
(b) Find σₓ (the standard deviation of the sampling distribution of the sample mean). ?
On which interval is y = sin(x) strictly increasing?
(Negative pi, negative StartFraction pi Over 2 EndFraction)
(0, pi)
(StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction)
(0, StartFraction pi Over 2 EndFraction)
Answer:
The function is strictly increasing on (0, π/2)
Step-by-step explanation:
We are given the function;
y = sin x
Let's find the derivative;
dy/dx = cos x
Now, Cos 0 = 1
Cos (π/4) = 1/√2
Cos (π/2) = 0
From the above, we can see that as x approaches 0 from (π/2), the value of (cos x) approaches 1. This means it's increasing from 0 to 1.
Thus, the function is strictly increasing on the interval (0, π/2)
Answer:
D. (0, pi/2)
Step-by-step explanation:
If you graph y=sin(X) (I used desmos) then you find that the graph is increasing from 0 to pi/2 :)
In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 my = 150 You decide
to run a test for which the alternative hypothesis is Hj: p1 > p2- Find the appropriate test statistic for the
test. Enter the test statistic - round to 4 decimal places. Z =
The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).
To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:
SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]
Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.
In this case, we have the following values:
X1 = 24 (number of successes in sample 1)
n1 = 200 (sample size 1)
X2 = 17 (number of successes in sample 2)
n2 = 150 (sample size 2)
To calculate the sample proportions, we divide the number of successes by the respective sample sizes:
p1 = X1 / n1 = 24 / 200 = 0.12
p2 = X2 / n2 = 17 / 150 = 0.1133
Now, we can plug these values into the formula to calculate the standard error:
SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]
SE ≈ 0.0319
Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:
Z = (p1 - p2) / SE
Z = (0.12 - 0.1133) / 0.0319
Z ≈ 0.2103
Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).
Learn more about decimals here: brainly.com/question/30958821
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