About 90% of young adult Internet users (aged 18 to 29) use social network sites. Suppose that a sample survey contacts an SRS of 1500 young adult Internet users and calculates the proportion ^p in this sample who use network sites
STEP 1: What is the standard deviation of ^p? (Round answer to 4 decimal places)
STEP 2: If the sample size were 6000 rather than 1500, what would be the standard deviation of ^p? (Round answer to 4 decimal places)

Given that a rectangle ABCD, where AB = 4, side BC that AP 3 and P lies on diagonal AC such 3/2. We have to find the distance PB.Solution:In the given rectangle ABCD,AB = 4Therefore,

AD = BC = 4 [because opposite sides of a rectangle are equal]P lies on diagonal AC and AP = 3We have to find PBWe will use the Pythagorean theorem and properties of similar triangles to find the distance PB.From triangle APD,

Using Pythagorean theorem,PD2 = AD2 + AP2 = 42 + 32 = 16 + 9 = 25PD = √25 = 5From triangle ABC,Using Pythagorean theorem,AC2 = AB2 + BC2 = 42 + BC2BC2 = AC2 - AB2= (3/2)2 - 42= 9/4 - 16= - 55/4 [As, the value inside the square root can't be negative, Therefore PB can't exist, and we can say that PB is imaginary or it doesn't exist]Hence, the distance PB is imaginary or it doesn't exist.

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Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²

f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  .f(x) =x²-2x+1

Rewrite the given function f(x).

f(x) =  (x-1)²

Now, the graph is stretched vertically by a factor of 2.

= 2(-x-1)²

reflect the graph about the y-axis.

2(x+1)²

move to the left by 3 units.

= 2(x+3+1)²

=2(x+4)²

The function g(x) =2(x+4)²

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If 10% of the registered voters in a small city are called for jury duty in a particular calendar year, then the probability of any one registered voter being called is 0.1 or 10%.

Since people are selected for jury duty at random, the selection process does not favor any one individual over another. Furthermore, the rule that the same individual cannot be called more than once during the calendar year ensures that everyone has an equal chance of being selected.

Suppose there are 1000 registered voters in the city. Then, 100 of them will be called for jury duty in that calendar year. If a person is not called in a given year, they still have a chance of being called in subsequent years.

Overall, the selection process for jury duty in this city is fair and ensures that all registered voters have an equal opportunity to serve on a jury.

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Step-by-step explanation:

the area of the full larger circle minus the area of the smaller circle.

the area of a circle is

pi×r²

the radius of the smaller circle is 23.1 yd.

the radius or the larger circle is 23.1 + 7.8 = 30.9 yd.

the area of the larger circle is

pi×30.9² = 3.14 × 954.81 = 2,998.1034 yd²

the area of the smaller circle is

pi× 23.1² = 1,675.5354 yd²

the area of only the ring around the smaller circle is then

2,998.1034 - 1,675.5354 = 1,322.568 yd² ≈

≈ 1,322.57 yd²

or

pi×30.9² - pi×23.1² = pi(954.81 - 533.61) =

= 421.2pi = 421.2 × 3.14 =

= 1,322.568 ≈ 1,322.57 yd²

An angle between 0 and 2π that is coterminal with a given angle can be found by adding or subtracting multiples of 2π until the angle falls within the specified range.

To find a coterminal angle, we can add or subtract 2π (which is equivalent to one full revolution) to the given angle. By doing this, we maintain the same initial position but change the number of complete revolutions made. If the resulting angle is still outside the range of 0 to 2π, we can continue adding or subtracting 2π until we obtain an angle within the desired interval.

For example, let's say we have an angle of 3π/4. To find a coterminal angle within the range of 0 to 2π, we subtract 2π from 3π/4:

3π/4 - 2π = -5π/4

The resulting angle is outside the desired range, so we add 2π instead:

-5π/4 + 2π = 3π/4

Now we have an angle of 3π/4, which is coterminal with the original angle and falls within the specified interval.

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Find an angle between 0 and 2π that is coterminal with 5π/4?

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Z-transform is an important tool in the field of digital signal processing. It is a mathematical technique that helps to convert a time-domain signal into a frequency-domain signal.

It is used to analyze the behavior of linear, time-invariant systems that are described by a set of linear, constant-coefficient differential equations.

Therefore, the z-transform of \({9k +7}=0 is 7/(1-z^-1) + (9z^-1)/((1-z^-1)^2).ii. {5k + k}K=0 200\)The z-transform of the above sequence can be calculated as follows:

Therefore, the z-transform of {5k + k}K=0 200 is 6z^-1 * (1-201z^-201)/(1-z^-1)^2.The above calculations show how to calculate the z-transform of the given sequences.

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Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

(-3, -1.5)

Step-by-step explanation:

Given:

\(\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}\)

Substitute the endpoints of the line segment in the midpoint:

\(\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text]\)

Simplify the coordinates in the midpoint:

\(\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text]\)

Thus, the coordinate of the midpoint is (-3, -1.5)

Answer:

the answer is 30% of the workers have output more than 70 units.

Step-by-step explanation:

Answer: I believe the answer is 25%.

Answer:   x² + 10x +25

Step-by-step explanation:

f(x) + g(x) = x² +9x +20 + x + 5  = x² + 10x +25  

Answer:x^2+8x+16

Step-by-step explanation:

Answer:

The answer to your question is $375

The selling price of the cell phone is $375.

Step-by-step explanation:

15% x 2500

100 = 375

I hope this helps and have a wonderful day!

Answer:

Assuming that you will need all the amounts in high range, the total budget is = $2,046.45 + 877.05 + 877.05 + 1169.40 + 1169.40 + 409.29 + 877.05 = 7425.69.

Multiply the net monthly pay by the % of monthly income of each item.

Step-by-step explanation:

look at the pictures

The z value is calculated by using the equation  (x- μ)/ σ/ √n. Here the true value lies between the confidence interval. So null hypothesis is accepted.

The data which is given are, mean of the sample (x) = 100.6 psi

Standard deviation, σ = 2 psi

Number of specimens tested, n = 9

Let us consider the mean breaking point of yarn of the population = μ

Since it is said that the mean breaking point should at least be 100,

Null hypothesis, H₀ , μ ≥ 100

Alternate hypothesis, H₁  μ < 100

a. Z value = (x- μ)/ σ/ √n =  \(\frac{100.6-100}{\frac{2}{\sqrt{9}} }\) = 0.89

So P ( z ≥ 0.89) = 0.1711

If significance level,α is greater than P(z ≥ 0.89), we cannot reject the null hypothesis.

b. If significance level is 0.05

Critical value for the breaking point , (x-μ)/σ/√n = 1.64

        \(\frac{x- 100}{\frac{2}{\sqrt{9} } }\)    = 1.64

x = 101.093

Z value =   \(\frac{101.09-102}{\frac{2}{\sqrt{9} } }\)  =  -1.378

P(z< -1.378) = 0.0885

Probability of committing type 2 error = 8.85%

c. Required confidence interval level =  \(x-z_{0.05}(\frac{2}{\sqrt{n} })\)  = \(102-1.64(\frac{2}{\sqrt{9} } )\) = 102 - (1.64× 0.67) = 100.9

d. If true value lies between the two confidence interval, null hypothesis is accepted. Here 100.9 < 102 < α

So null hypothesis is accepted.

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The complete question is

The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2 psi. A random sample of nine specimens is tested, and the average breaking strength is found to be 100.6 psi.

a) Should the fiber be judged acceptable? Use the P-value approach.

b) What is the probability of not rejecting the null hypothesis at

α=0.05

if the fiber has a true mean breaking strength of 102 psi?

c) Find a 95% one-sided lower CI on the true mean breaking strength.

d) Use the CI found in part (d) to test the hypothesis.

Answer:

Please see attachment.

The first one is a quadrilateral that is not a parallelogram.

The second one is a triangle with a right angle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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Step-by-step explanation:

Answer is D

1. label each shape 1, 2, 3.... 6

2. calculate the area of each shape respectful

3. add the area of each shape together to get the total surface area of the container

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Step-by-step explanation:

You need to find the total number of students the pie chart will represent:

17 + 35 + 38 = 90

So you know, 360° represents 90 people

You can then find out the angle for each person: 360 ÷ 90 = 4

Each person is 4°

a)

1. 17 people took French so you would do 4° × 17 = 68°

2. 35 people took German so you would do 4° × 35 = 140°

3. 38 people took Italian so you would do 4° × 38 = 152°

b)

17 out of 90 people chose french so the probability would be 17/90

The coffee filter will fall at a constant speed, with no acceleration.

For a falling coffee filter, the free body diagram at the instant when it is released will include two forces: the gravitational force acting downwards and the air resistance acting upwards. The gravitational force will be larger than the air resistance force, causing the coffee filter to accelerate downwards. At terminal velocity, the air resistance force will be equal in magnitude to the gravitational force, resulting in a net force of zero and no acceleration.

At the instant when the coffee filter is released, the free body diagram will show that the gravitational force (Fg) acting downwards is greater than the air resistance force (Fa) acting upwards. Therefore, the coffee filter will experience a net force downwards and accelerate downwards at a rate of 9.8 m/s². As the coffee filter gains speed, the air resistance force will increase until it reaches a point where it is equal in magnitude to the gravitational force, resulting in a net force of zero. This is known as terminal velocity, and the free body diagram will show that the gravitational force and the air resistance force are equal in magnitude.

Therefore, the coffee filter will fall at a constant speed, with no acceleration.

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The linear function modeled by the table is given as follows:

y = 2x - 5.

The slope and the intercept are given, respectively, by:

m = 2, b = -5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the table, when x increases by 5, y increases by 10, hence the slope m is given as follows:

m = 10/5

m = 2.

Hence:

y = 2x + b.

When x = 3, y = 1, hence the intercept b is given as follows:

1 = 6 + b

b = -5.

Hence the function is:

y = 2x - 5.

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The maximum value of P is attained when a is 458.33 million dollars and p is 316.67 dollars.

Given:Profit, P in millions of dollars is given by:P(a,p) = 2ap + 80p - 15p^2 - 1/10 a^2p - 110Now, we need to find out the maximum value of P and the values of a and p at which it is attained.To find the maximum value of P, we differentiate the given function w.r.t a and p.Let's differentiate the function with respect to a and p:∂P/∂a = 2p - (1/5)ap∂P/∂p = 2a + 80 - 30pNow, equating both partial derivatives to zero and solving for a and p:∂P/∂a = 0 => 2p - (1/5)ap = 0 => 10p = a∂P/∂p = 0 => 2a + 80 - 30p = 0 => 2a = 30p - 80 => a = 15p - 40Substitute value of a in terms of p from above in  P(a,p) = 2ap + 80p - 15p^2 - 1/10 a^2p - 110P(a,p) = 2(15p - 40)p + 80p - 15p^2 - 1/10 (15p - 40)^2p - 110On simplification, P(a,p) = -1.5p^2 + 950p - 110Now, to find the maximum value of P, we take derivative of the above equation w.r.t p and equate it to zero to find the value of p for which P is maximum.So, ∂P/∂p = -3p + 950 = 0 => p = 316.67 (approx)Now, substitute the value of p in equation a = 15p - 40=> a = 458.33 million dollarsHence, the maximum value of P is attained when a is 458.33 million dollars and p is 316.67 dollars.

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The period of the movement, where 30 rotations are made every 45 seconds, is 1.5 seconds.

The period of the motion is the time it takes for one complete rotation (revolution). To find the period of the motion, we can divide the total time by the number of rotations (revolutions).

In this case, the total time is 45 seconds and the number of rotations (revolutions) is 30. So, the period of the motion is:

Period = Total time / Number of rotations (revolutions)

Period = 45 seconds / 30

Period = 1.5 seconds

Therefore, the period of the motion is 1.5 seconds.

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Answer:

( -1,7)

Step-by-step explanation:

{ refer attachment }

Answer:

The answer would be (-1,7)

Step-by-step explanation:

Using the process of elimination we can subtract the two equations to cancel out the y variable. That is subtract the second equation from the first.

 3x + y = 4

- 2x + y = 5

  x        = -1

Now that we have found x we can substitute -1 for x into any equation for y. So, in substituting -1 for x in the  second equation we get:

2(-1) + y = 5

-2 + y = 5

y = 5 + 2

y = 7

ANSWER: (-1, 7)

Answer: you know now that i think about it not really

Step-by-step explanation:

Answer:

I think that is complete bs anyone can wear any mask and look thinner but the most important part is wearing a mask and having the mask fit comfortably around your face.

Step-by-step explanation:

Please wear a mask in public!!

Answer:

use the picture to solve the equation

Answer:

Step-by-step explanation:

4-t=3t-3-5

-t-3t= -8-4

-4t=-12

t=12/4

t=3

Good luck!