what is the probability of obtaining x or fewer individuals with the characteristic? that is, what is p()?
Answers
The probability of obtaining x or fewer individuals with the characteristic is P(x), where P(x) is a cumulative probability. Here, x represents the number of individuals with the given characteristic, and the cumulative probability means the probability of getting a result of x or fewer individuals (as opposed to the probability of getting exactly x individuals).
To calculate this probability, you need to use a probability distribution that corresponds to the given situation. For example, if the situation involves a binomial distribution, then you would use the binomial probability formula to find P(x).This formula is P(x) = Σ [ nCx * p^x * (1-p)^(n-x) ] , where n is the total number of individuals in the population, p is the probability of an individual having the given characteristic, and Cx is the number of combinations of n items taken x at a time. The summation (Σ) goes from x = 0 to x = x. To use this formula, you would plug in the values of n, p, and x, and then calculate the sum. The answer will be a probability value between 0 and 1. In general, you can find the probability of obtaining x or fewer individuals with the characteristic by adding up the probabilities of all possible outcomes from 0 to x.
To know more about cumulative probability visit:
https://brainly.com/question/30772963
#SPJ11
Related Questions
a rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex. what is the shape of the cross section?
Answers
When a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid.
To understand why this is the case, it is helpful to visualize a rectangular pyramid. A rectangular pyramid is a three-dimensional figure with a rectangular base and four triangular faces that meet at a single point at the top, known as the vertex.
If a plane is passed through the pyramid perpendicular to the base but not through the vertex, it will intersect each of the four triangular faces of the pyramid at a different angle, resulting in a cross section that has four sides.
Since the base of the rectangular pyramid is a rectangle, the two opposite sides of the trapezoid cross section will be parallel, and the other two sides will be non-parallel. The shape and size of the trapezoid cross section will depend on the orientation of the plane with respect to the rectangular pyramid.
In summary, when a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid with two parallel sides and two non-parallel sides.
To learn more about rectangular pyramid click on,
https://brainly.com/question/10152172
#SPJ4
If lines p and q are parallel then the value of x is
Answers
Answer:
The answer is A. 10
Step-by-step explanation:
The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.
5x - 25 = 3x - 5
subtract 3x from each side
2x - 25 = -5
add 25 to each side
2x = 20
divide 2 from each side
x = 10
Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.
The relation between the given angles is given by the alternate interior
angles theorem.
If lines p and q are parallel then the value of x is A. 10°
Reason:
The given parameters are;
Condition; Line p, and line q, are parallel.
The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.
According to alternate interior angles theorem, we have the alternate
angles are congruent, where line p, and line q are parallel.
Therefore;
(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles
(3·x - 5)° = (5·x - 25)° By definition of congruency
Solving, we get;
(3·x - 5)° + 25° = (5·x - 25)° + 25°
3·x + 20° - 3·x = 5·x - 3·x = 2·x
20° = 2·x
\(x = \dfrac{20^{\circ}}{2} = 10^{\circ}\)
The correct option is A. 10°
Learn more here:
https://brainly.com/question/18242590
"which equations represent exponential growth? which equations represent exponential decay? Exponential Growth:
y=4000(1.0825)^t
y=1700(1.25)^t
y=1.5(10)^t
Exponential Decay:
y=240(1/2)^t
y=12,000(0.72)^t
y=8000(0.97)^t"
Answers
Exponential growth is the process by which something grows exponentially with time, such as the way that bacteria grow in a petri dish. It is a type of exponential function that can be described mathematically.
Exponential growth equation:There are two equations that represent exponential growth.y = 4000 (1.0825)^t, andy = 1700 (1.25)^t.Exponential decay is the opposite of exponential growth. Exponential decay is a type of exponential function that can be described mathematically.Exponential decay equation:
There are three equations that represent exponential decay.y = 240 (1/2)^t,y = 12,000 (0.72)^t, andy = 8000 (0.97)^t.In conclusion, y = 4000 (1.0825)^t, and y = 1700 (1.25)^t are equations that represent exponential growth, whereas y = 240 (1/2)^t, y = 12,000 (0.72)^t, and y = 8000 (0.97)^t are equations that represent exponential decay.
To know more about process visit:
https://brainly.com/question/14832369
#SPJ11
The produce manager for a large retail food chain is interested in estimating the percentage of apples that arrive on a shipment with bruises. A random sample of 100 apples showed 12 with bruises. Based on this information, what is the margin of error for a 99 percent confidence interval estimate?
Answers
The margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.
To calculate the margin of error for a 99% confidence interval estimate, we can use the formula:
Margin of Error = Z * sqrt(p_hat * (1 - p_hat) / n)
Where:
Z is the z-value corresponding to the desired confidence level (99% confidence level corresponds to a z-value of approximately 2.576).
p_hat is the sample proportion (percentage of apples with bruises), which is calculated as the number of apples with bruises divided by the total sample size.
n is the sample size.
Given:
Sample size (n) = 100
Number of apples with bruises = 12
Calculating the sample proportion:
p_hat = 12 / 100 = 0.12
Using the z-value for a 99% confidence level (z = 2.576), we can calculate the margin of error:
Margin of Error = 2.576 * sqrt(0.12 * (1 - 0.12) / 100)
Calculating the margin of error:
Margin of Error = 2.576 * sqrt(0.12 * 0.88 / 100)
Margin of Error = 2.576 * sqrt(0.1056 / 100)
Margin of Error = 2.576 * sqrt(0.001056)
Margin of Error ≈ 2.576 * 0.0325
Margin of Error ≈ 0.0838
Therefore, the margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.
for such more question on confidence interval
https://brainly.com/question/14771284
#SPJ11
Phil started playing baseball on with a minor league team. When signing, he earned a $65 signing bonus. For each game he plays he earns $115. Write an equation in slope-intercept form to model this scenario. *
Answers
Answer:
y=115x+65
Step-by-step explanation:
He earns $115 per game shows that after getting a signing bonus, that is a constant amount he earn for each game. The slope is 115.
The y-intercept is 65 because after signing, he earns $65 for free.
Hope I helped! Good Luck!
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars
Answers
Answer:$ 44.70
Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687
Answer:
He has 45 USD left.
Step-by-step explanation:
250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.
Given the following function definition, what would the statement print(magic(5)) display?
def magic(num):
x = num - 3
return x + 2 * 10
Answers
22 would be displayed by command print(magic(5)).
The statement print(magic(5)) would display the result of the magic function when called with an argument of 5.
The print function is a commonly used function in programming languages that allows you to display output to the console or terminal. It is used to output text, variables, or other data to the standard output device.
Substituting num = 5 into the function definition, we get:
x = num - 3 = 5 - 3 = 2
return x + 2 * 10 = 2 + 20 = 22
Therefore, print(magic(5)) would display 22.
Learn more about print function in code here:
https://brainly.com/question/31735421
#SPJ1
30 POINTS PLEASE PLEASE PLEASE HELP VERY IMPORTANT ‼️‼️‼️‼️‼️Every spring, Colin plants colorful flowers in his garden. This year, he decides to plant
petunias. He buys them at the garden store, brings them back home, and starts planting.
There is a proportional relationship between the amount of time (in minutes) Colin has been
working in his garden, x, and the number of petunias he has planted, y.
x (minutes) y (petunias)
9
11
16
20
16
20
What is the constant of proportionality? Write your answer as a whole number or decimal.
petunias per minute
Answers
Answer:
1 per minute
Step-by-step explanation:
9 min = 9 petunias
11 min = 11 petunias
so on and so forth
An instructional designer wants to estimate the proportion of learners who use Firefox as their primary browser. What procedure should they use to make this estimate?
Confidence interval for a single mean
Hypothesis test for a single mean
Confidence interval for a single proportion
Hypothesis test for a single proprotion
Answers
The instructional designer should use the procedure of "Confidence interval for a single proportion" to make the estimate of the proportion of learners who use Firefox as their primary browser. (option 3)
This procedure allows for the estimation of the true proportion of the population within a certain level of confidence based on a sample proportion. It involves calculating a range of values within which the true proportion is expected to fall with a specified level of confidence. The procedure is appropriate when the variable of interest is categorical, and the goal is to estimate the proportion of individuals in a population who have a certain characteristic, in this case, using Firefox as their primary browser.
Learn more about Confidence Intervals:
https://brainly.com/question/15712887
#SPJ4
CAN SOMEONE HELP ME ILL MARK THEM BRILLIANT!!!!!!!! And give extra points Find the slope of a line given the two points on the line: Answers:
1.(2,6) and (3,8)
2.(1,4) and (6,6)
3.(0,3) and (2,8)
4.(1,5) and (2,11)
5.(2,6) and (3,-2)
6.(-1,-2) and (-2,9)
7.(2,4) and (3,10)
Answers
Answer:
number 6, explanation: man urinates on fellow passenger for not being allowed to sm0ke
Step-by-step explanation:
Consider the function f(x,y)=2x2−4x+y2−2xy subject to the constraints x+y≥1xy≤3x,y≥0 (a) Write down the Kuhn-Tucker conditions for the minimal value of f. (b) Show that the minimal point does not have x=0.
Answers
The minimal point does not have x = 0.
(a) Kuhn-Tucker conditions for the minimal value of fThe Kuhn-Tucker conditions are a set of necessary conditions for a point x* to be a minimum of a constrained optimization problem subject to inequality constraints. These conditions provide a way to find the optimal values of x1, x2, ..., xn that maximize or minimize a function f subject to a set of constraints. Let's first write down the Lagrangian: L(x, y, λ1, λ2, λ3) = f(x, y) - λ1(x+y-1) - λ2(xy-3) - λ3x - λ4y Where λ1, λ2, λ3, and λ4 are the Kuhn-Tucker multipliers associated with the constraints. Taking partial derivatives of L with respect to x, y, λ1, λ2, λ3, and λ4 and setting them equal to 0, we get the following set of equations: 4x - 2y - λ1 - λ2y - λ3 = 0 2y - 2x - λ1 - λ2x - λ4 = 0 x + y - 1 ≤ 0 xy - 3 ≤ 0 λ1 ≥ 0 λ2 ≥ 0 λ3 ≥ 0 λ4 ≥ 0 λ1(x + y - 1) = 0 λ2(xy - 3) = 0 From the complementary slackness condition, λ1(x + y - 1) = 0 and λ2(xy - 3) = 0. This implies that either λ1 = 0 or x + y - 1 = 0, and either λ2 = 0 or xy - 3 = 0. If λ1 > 0 and λ2 > 0, then x + y - 1 = 0 and xy - 3 = 0. If λ1 > 0 and λ2 = 0, then x + y - 1 = 0. If λ1 = 0 and λ2 > 0, then xy - 3 = 0. We now consider each case separately. Case 1: λ1 > 0 and λ2 > 0From λ1(x + y - 1) = 0 and λ2(xy - 3) = 0, we have the following possibilities: x + y - 1 = 0, xy - 3 ≤ 0 (i.e., xy = 3), λ1 > 0, λ2 > 0 x + y - 1 ≤ 0, xy - 3 = 0 (i.e., x = 3/y), λ1 > 0, λ2 > 0 x + y - 1 = 0, xy - 3 = 0 (i.e., x = y = √3), λ1 > 0, λ2 > 0 We can exclude the second case because it violates the constraint x, y ≥ 0. The first and third cases satisfy all the Kuhn-Tucker conditions, and we can check that they correspond to local minima of f subject to the constraints. For the first case, we have x = y = √3/2 and f(x, y) = -1/2. For the third case, we have x = y = √3 and f(x, y) = -2. Case 2: λ1 > 0 and λ2 = 0From λ1(x + y - 1) = 0, we have x + y - 1 = 0 (because λ1 > 0). From the first Kuhn-Tucker condition, we have 4x - 2y - λ1 = λ1y. Since λ1 > 0, we can solve for y to get y = (4x - λ1)/(2 + λ1). Substituting this into the constraint x + y - 1 = 0, we get x + (4x - λ1)/(2 + λ1) - 1 = 0. Solving for x, we get x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4. We can check that this satisfies all the Kuhn-Tucker conditions for λ1 > 0, and we can also check that it corresponds to a local minimum of f subject to the constraints. For this value of x, we have y = (4x - λ1)/(2 + λ1), and we can compute f(x, y) = -3/4 + (5λ1^2 + 4λ1 + 1)/(2(2 + λ1)^2). Case 3: λ1 = 0 and λ2 > 0From λ2(xy - 3) = 0, we have xy - 3 = 0 (because λ2 > 0). Substituting this into the constraint x + y - 1 ≥ 0, we get x + (3/x) - 1 ≥ 0. This implies that x^2 + (3 - x) - x ≥ 0, or equivalently, x^2 - x + 3 ≥ 0. The discriminant of this quadratic is negative, so it has no real roots. Therefore, there are no feasible solutions in this case. Case 4: λ1 = 0 and λ2 = 0From λ1(x + y - 1) = 0 and λ2(xy - 3) = 0, we have x + y - 1 ≤ 0 and xy - 3 ≤ 0. This implies that x, y > 0, and we can use the first and second Kuhn-Tucker conditions to get 4x - 2y = 0 2y - 2x = 0 x + y - 1 = 0 xy - 3 = 0 Solving these equations, we get x = y = √3 and f(x, y) = -2. (b) Show that the minimal point does not have x=0.To show that the minimal point does not have x=0, we need to find the optimal value of x that minimizes f subject to the constraints and show that x > 0. From the Kuhn-Tucker conditions, we know that the optimal value of x satisfies one of the following conditions: x = y = √3/2 (λ1 > 0, λ2 > 0) x = √3 (λ1 > 0, λ2 > 0) x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4 (λ1 > 0, λ2 = 0) If x = y = √3/2, then x > 0. If x = √3, then x > 0. If x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4, then x > 0 because λ1 ≥ 0.
To know more about constraints, visit:
https://brainly.com/question/17156848
#SPJ11
Simplify the expression $17x-24x+13x$. Your answer should have the variable $x$ in it only once.
Answers
Answer:
1
Step-by-step explanation:
1+1=2
Click below for more info
PLEASE HELP
A teacher buys 4.75 ounces of s compound for an experiment. the compound costs $5.92 per ounce. the teacher pays with a 50 dollar bill. how much change does the teacher receive?
Answers
Answer:
21.88
Step-by-step explanation:
Answer:
21.88
Step-by-step explanation:
✨✨ Easy points for those who are good at math ✨✨
Answers
Answer:
y = x + 4
Step-by-step explanation:
how many ways can you stack 77 books into equla piles?
Answers
The midpoint of XY is (3,-5). Find the coordinates of point X. Y=(2.5,-6.5)
Answers
Answer:
x=(2,-5.3)
Step-by-step explanation:
Hope this helps
Rewrite 7/2 and 3/5 with a denominator of 10
Answers
Answer:35/10 and 6/10
Step-by-step explanation:
7/2= (7 x 5)+(2 x 5)
3/5= (3 x 2)+(5 x 2)
Convert the angle 90 degree to radians. Give the exact value and use pi for pi.
Answers
To convert the angle 90 degrees to radians, we need to use the conversion factor that relates degrees to radians.
The conversion factor is π/180, which means that 180 degrees is equal to π radians.
Therefore, to convert 90 degrees to radians, we can use the formula:
Angle in radians = Angle in degrees × (π/180)
Substituting the given angle, we have:
Angle in radians = 90 × (π/180)
Simplifying the expression:
Angle in radians = (90π)/180
We can further simplify the expression by canceling out the common factor of 90:
Angle in radians = π/2
Therefore, the exact value of the angle 90 degrees in radians is π/2.
To know more about Expression visit-
brainly.com/question/14083225
#SPJ11
Mr. Sims wants to buy a new truck. He sold his old truck for $3,582, and he has $4,979 in the bank. If a new truck costs $9,005, how much more money does he need in order buy the new truck?
Answers
Answer:
$444
Step-by-step explanation:
3,582 + 4,979 = 8,561
9,005 - 8,561 = 444
Kim’s age is one less than twice Mike’s age. If the sum of their ages is 32, what is Mike’s age?
Answers
11•2=22-1=21
21+11=32
Complete the table below: Show all your work.
Answers
Answer:
Step-by-step explanation:
(-2, 8)
(-1, 6)
(0, 4)
(1, 2)
(2,0)
to "show work" just plug in each x value into that equation. you will never learn if all you do is copy down answers. i have given you all of the correct answers, and all you need to do is plug in the values for each x value into the equation, multiply then add. good luck man.
Which of the following equations has exactly one real solution?
A.
2(x + 14) = 2x + 28
B.
7x + 14 = −2x − 17
C.
2x + 14 = 2x + 14
D.
7x + 14 = 7x − 17
Answers
Answer:
Option A
Step-by-step explanation:
2(x+14)=2x+28
2x+28=2x+28
IT HAS REAL SOLUTION :)
PLZZ MARK ME AS BRAINLIEST
Write the equation of the line that passes through the points (-5, 9) and (-2, 1).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answers
Answer:
\(\displaystyle y=\frac{-8}{3}x-3\frac{2}{3}\)
Step-by-step explanation:
Slope-intercept form is y = mx + b. This is where m is the slope and b is the y-intercept.
We will be writing a point-slope equation, then simplifying it into a slope-intercept form equation. First, we need to find the slope. We find that we have a slope of \(\frac{-8}{3}\).
\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{1-9}{-2--5} =\frac{-8}{3}\)
Next, we will write the point-slope equation.
y - \(y_1\) = m(x - \(x_1\))
y - 9 = \(\frac{-8}{3}\)(x - -5)
y - 9 = \(\frac{-8}{3}\)(x + 5)
y - 9 = \(\frac{-8}{3}\)x - 13\(\frac{1}{3}\)
y = \(\frac{-8}{3}\)x - 3 \(\frac{2}{3}\)
find the slope of the tangent line to the polar curve at r = sin(4theta).
Answers
The slope of the tangent line to the polar curve at
`r = sin(4θ)` is:
`dy/dx = (dy/dθ)/(dx/dθ)`
at `r = sin(4θ)`= `(4cos(4θ)sin(θ) + sin(4θ)cos(θ)) / (4cos(4θ)cos(θ) - sin(4θ)sin(θ))`
To find the slope of the tangent line to the polar curve at
`r = sin(4θ)`,
we can use the polar differentiation formula, which is:
`dy/dx = (dy/dθ)/(dx/dθ)`
For a polar curve given by
`r = f(θ)`,
we can find
`(dy/dθ)` and `(dx/dθ)`
using the following formulas:
`(dy/dθ) = f'(θ)sin(θ) + f(θ)cos(θ)` and `(dx/dθ) = f'(θ)cos(θ) - f(θ)sin(θ)`
where `f'(θ)` represents the derivative of `f(θ)` with respect to `θ`.
For the given curve,
`r = sin(4θ)`,
we have
`f(θ) = sin(4θ)`.
So, we first need to find `f'(θ)` as follows:
`f'(θ) = d/dθ(sin(4θ)) = 4cos(4θ)`
Now, we can substitute
`f(θ)` and `f'(θ)` in the above formulas to get
`(dy/dθ)` and `(dx/dθ)`
:
`(dy/dθ) = f'(θ)sin(θ) + f(θ)cos(θ)`` = 4cos(4θ)sin(θ) + sin(4θ)cos(θ)`
and
`(dx/dθ) = f'(θ)cos(θ) - f(θ)sin(θ)`` = 4cos(4θ)cos(θ) - sin(4θ)sin(θ)
Now, we can find the slope of the tangent line using the polar differentiation formula:
`dy/dx = (dy/dθ)/(dx/dθ)`
at
`r = sin(4θ)`
So, the slope of the tangent line to the polar curve at
`r = sin(4θ)` is:
`dy/dx = (dy/dθ)/(dx/dθ)`
at `r = sin(4θ)`= `(4cos(4θ)sin(θ) + sin(4θ)cos(θ)) / (4cos(4θ)cos(θ) - sin(4θ)sin(θ))`
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ11
Peter needs to borrow $10,000 to repair his roof. He will take out a 317-loan on April 15th at 4% interest from the bank. He will make a payment of $3,500 on October 12th and a payment of $2,500 on January 11th.
a) What is the due date of the loan?
b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.
c) Calculate the interest due on January 11th and the balance of the loan after the January 11th pa payment.
d) Calculate the final payment (interest + principal) Peter must pay on the due date.
Please only serious answers
Answers
Answer:
A. February 26th
B. $3,500 - Balance ≈ $6,697.26
C. $2,500 - Balance ≈ $4,263.46
D. $4,284.81
Step-by-step explanation:
a) What is the due date of the loan?
The loan term is given as 317 days, and the loan starts on April 15th. To find the due date, we will add 317 days to April 15th.
April 15th + 317 days = April 15th + (365 days - 48 days) = April 15th + 1 year - 48 days
Subtracting 48 days from April 15th, we get:
Due date = February 26th (of the following year)
b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.
First, we need to calculate the number of days between April 15th and October 12th:
April (15 days) + May (31 days) + June (30 days) + July (31 days) + August (31 days) + September (30 days) + October (12 days) = 180 days
Now, we will calculate the interest for 180 days:
Interest = Principal × Interest Rate × (Days Passed / 365)
Interest = $10,000 × 0.04 × (180 / 365)
Interest ≈ $197.26
Peter will make a payment of $3,500 on October 12th. So, we need to find the balance of the loan after this payment:
Balance = Principal + Interest - Payment
Balance = $10,000 + $197.26 - $3,500
Balance ≈ $6,697.26
c) Calculate the interest due on January 11th and the balance of the loan after the January 11th payment.
First, we need to calculate the number of days between October 12th and January 11th:
October (19 days) + November (30 days) + December (31 days) + January (11 days) = 91 days
Now, we will calculate the interest for 91 days:
Interest = Principal × Interest Rate × (Days Passed / 365)
Interest = $6,697.26 × 0.04 × (91 / 365)
Interest ≈ $66.20
Peter will make a payment of $2,500 on January 11th. So, we need to find the balance of the loan after this payment:
Balance = Principal + Interest - Payment
Balance = $6,697.26 + $66.20 - $2,500
Balance ≈ $4,263.46
d) Calculate the final payment (interest + principal) Peter must pay on the due date.
First, we need to calculate the number of days between January 11th and February 26th:
January (20 days) + February (26 days) = 46 days
Now, we will calculate the interest for 46 days:
Interest = Principal × Interest Rate × (Days Passed / 365)
Interest = $4,263.46 × 0.04 × (46 / 365)
Interest ≈ $21.35
Finally, we will calculate the final payment Peter must pay on the due date:
Final payment = Principal + Interest
Final payment = $4,263.46 + $21.35
Final payment ≈ $4,284.81
Q#15
Use the sample data and confidence level to construct the
confidence interval estimate of the population proportion p. n =
500, x = 350, 90% confidence
_ < p < _ ?
Answers
The confidence interval estimate for the population percentage (p) is 0.662 p 0.738 using the sample data given (n = 500, x = 350) and a 90% degree of confidence.
The following formula can be used to create a confidence interval estimate for the population proportion (p):
CI is equal to p*z*(p*(1-p)/n)
Where:
The confidence interval estimate is represented by CI.
The sample proportion, or p, is (x/n).
The critical value, or z, corresponds to the desired level of confidence.
The sample size is n.
The sample proportion in this instance is 350/500, or 0.7. We must determine the crucial value (z) associated with the 90% confidence level as it is 90%. The crucial value, which is around 1.645 for a 90% confidence level, can be discovered using a typical normal distribution table or statistical software.
When the values are substituted into the formula, we get:
CI = 0.7 ± 1.645 * √((0.7 * (1-0.7))/500)
When we compute the expression inside the square root, we get:
√((0.7 * 0.3)/500) ≈ 0.023
The confidence interval estimate is given by entering the values back into the algorithm as follows: CI = 0.7 1.645 * 0.023 0.700 0.038
As a result, with a 90% level of confidence, the confidence interval estimate for the population proportion (p) is around 0.662 p 0.738.
Learn more about proportion here:
https://brainly.com/question/31548894
#SPJ11
An event facility uses 16 servers to work an event with 400 guests. Which rate best represents the relationship between servers and guests at the event facility?
Answers
Answer:
1:25 or 1/25
Step-by-step explanation:
Rate=16/400
1/25 or 1:25
Answer: 16 to 400. This will be the answer I believe.
Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x + 4 6x + 3y = -12 -4 4 12
Answers
Answer:
Option (4)
Step-by-step explanation:
The given system of equations is,
y = -2x + 4 ------ (1)
6x + 3y = a --------(2)
We have to find the value of a for which the system of equations will have infinitely many solutions.
Option (1). If a = -12
6x + 3y = -12
2x + y = -4
y = -2x - 4
Both the equations have same slope, therefore, they are parallel and will have no solutions.
Option (2). If a = -4
6x + 3y = -4
3y = -6x - 4
\(y=-2x-\frac{4}{3}\)
Then equation (1) and (2) will intersect each other at least at one point Or there is exactly one solution of the system of the equations.
Option (3). If a = 4
6x + 3y = 4
3y = -6x + 4
y = -2x + \(\frac{4}{3}\)
Then equation (1) and (2) will intersect each other at least at one point Or there is exactly one solution of the system of the equations.
Option (4). If a = 12
6x + 3y = 12
3y = -6x + 12
y = -2x + 4
Therefore, both the equations (1) and (2) are same for a = 12 and they will have infinitely many solutions.
This question is based on system of linear equation .Thus, for a=12 will have infinitely many solution.
Given:
y = -2x + 4 ------ (a)
6x + 3y = a ------(b)
We need to determined the value of a for which the system gives infinitely many solution.
Now check all the options as given below:
Option(1) a = -12 and put it in (b) we get,
6x + 3y = -12
2x + y = -4
y = -2x - 4
Both the equations have same slope, therefore, they are parallel to each other and have no solutions.
Option(2) a= -4 and put it in (b) we get,
6x + 3y = -4
3y = -6x - 4
\(y=-2x-\dfrac{4}{3}\)
Therefore, the equation has unique solution. Thus, both lines intersect each other at one point and there is unique value of x and y.
Option(3) a= 4
6x + 3y = 4
3y = -6x + 4
\(y=-2x+\dfrac{4}{3}\)
Therefore, the equation has unique solution. Thus, both lines intersect each other at one point and there is unique value of x and y.
Option(4) a= 12
6x + 3y = 12
3y = -6x + 12
y = -2x + 4
Both the equation are same for a= 12.
Thus, for a=12 will have infinitely many solution.
For further details, please prefer this link:
https://brainly.com/question/13712241
what fraction of 5 is 1/2
Answers
Answer:
1/10
Step-by-step explanation:
1/2 divided by 5 = 1/10
Answer:
2 1/2
Step-by-step explanation:
A bathtub holds 42 gallons of water filling at a rate of 4 gallons per minute how long will it take to fill a tub?
Answers
Answer:
10 minutes 30 seconds
Step-by-step explanation:
begin by dividing the overall size of the tub by the amount of gallons per minute.
42/4=10.5
This means that in 10.5 minutes the tub would be full. .5 is half and half of one minute is 30 seconds.