PLS HELP
what would be an appropriate level for the dependent variable on this graph?

When we say that the tails of the normal curve are asymptotic to the x axis, it mean the tails get closer and closer to the x axis but never touch it

The tails of normal curve are actually asymptotic. To say they are asymptotic, then it means that they approach the x axis but never quite meet its horizons.

These tails will extends indefinitely in both directions without crossing and touching the x axis or the horizontal axis.

Tails of normal curve or normal curve itself is asymptotic to the x-axis. That is the curve touches the x-axis only at -∞ and +∞. So the curve only approaches nearer and nearer to x-axis but never touches or crosses it.

For this reason, the correct choice is get closer and closer to the x-axis but never touches it.

Learn more about normal curves here:

https://brainly.com/question/23418254

#SPJ4

Answer:

Value of \(f(10)=30\)

Step-by-step explanation:

We have

\(f(x) = 5(x-4)\)

We need to find \(f(10)\)

\(f(10) = 5(10-4)\\\\=5\cdot6\\\\=30\)

Answer:

x=-5

Step-by-step explanation:

-2x+6=16

-2x=10

x=-5

The estimated probability that the sample mean of 17 trials exceeds 8 is 0.5724.

(a) The sample mean of an iid sequence of exponential random variables with expected value μ is itself an exponential random variable with expected value μ/n. Therefore, the variance of the sample mean based on n trials is given by:

Var(sample mean) = Var(X1 + X2 + ... + Xn) / n^2

Since X1, X2, ..., Xn are iid exponential random variables with expected value 9, their variance is equal to the square of the expected value, i.e., Var(Xi) = 81 for i = 1, 2, ..., n. Thus, we have:

Var(sample mean) = Var(X1 + X2 + ... + Xn) / n^2

= (Var(X1) + Var(X2) + ... + Var(Xn)) / n^2

= (81 + 81 + ... + 81) / n^2

= 81/n

Therefore, the variance of the sample mean based on 17 trials is Var(sample mean) = 81/17.

(b) The probability that the first trial exceeds 8 is given by the cumulative distribution function (CDF) of an exponential random variable with expected value 9 evaluated at x = 8, i.e.,

P(X1 > 8) = e^(-8/9)

(c) By the central limit theorem, the sample mean of n iid exponential random variables with expected value μ and variance σ^2 is approximately normally distributed with mean μ and variance σ^2/n when n is large.

Since X1, X2, ..., Xn are iid exponential random variables with expected value 9 and variance 81, the sample mean of 17 trials is approximately normally distributed with mean 9 and variance 81/17.

Thus, we have:

P(sample mean > 8) = P((sample mean - 9) / sqrt(81/17) > (8 - 9) / sqrt(81/17))

= P(Z > -0.1796)

where Z is a standard normal random variable. Using a standard normal table or calculator, we can find that P(Z > -0.1796) = 0.5724 (approximately).

Therefore, the estimated probability that the sample mean of 17 trials exceeds 8 is 0.5724.

To know more about sample mean refer here

https://brainly.com/question/31101410#

#SPJ11

λn = (nπ)^2 - 1, and the corresponding eigenfunction is y_n(x) = B sin(nπ x).

The general solution of the differential equation is of the form

y(x) = A sin(√(λ+1) x) + B cos(√(λ+1) x).

Applying the boundary condition y'(0) = 0, we have:

y'(x) = A√(λ+1) cos(√(λ+1) x) - B√(λ+1) sin(√(λ+1) x)

y'(0) = A√(λ+1) cos(0) - B√(λ+1) sin(0) = 0

Here  A = 0.

Applying  the boundary condition y'(1) = 0, we have:

y'(x) = - B√(λ+1) sin(√(λ+1) x)

y'(1) = - B√(λ+1) sin(√(λ+1)) = 0

Which means that √(λ+1) = nπ for n = 1, 2, 3, ...

In conclusiuon,  λn = (nπ)^2 - 1, and the corresponding eigenfunction is y_n(x) = B sin(nπ x).

Learn more about eigenfunction at: https://brainly.com/question/2289152

#SPJ1

Answer:

Since the spinners have been spun simultaneously, every side on each of the spinner carries equal probability of landing. In order for there to be only 10 possible outcomes, no more no less, the spinners cannot be identical. One of the spinner in two sided while the other spinner must then be a five sided spinner. Choosing this particular pair of spinners gives Nathan 10 possibilities of combinations.

Hope that answers the question, have a great day!

Step-by-step explanation:

Answer:

A hash mark.

Step-by-step explanation:

The marks or intervals on a ruler are called hash marks. That particular hash mark measures 0 millimeters. Hash marks are used for telling the measurement of an object.

A straight line PPF indicates constant opportunity costs in production is TRUE.

The Production-Possibility Frontier (PPF) is a graphical representation of the maximum amount of two goods that can be produced given a certain number of resources.

If the PPF is a straight line, then the opportunity cost of producing an additional unit of one good is the same regardless of how much of that good is already being produced. This means that the resources used to produce the two goods are perfectly substitutable and there are no increasing opportunity costs.

However, if the PPF is a curved line, then the opportunity cost of producing an additional unit of one good increase as more of that good is produced. This is because the resources used to produce the two goods are not perfectly substitutable and there are increasing opportunity costs.

Learn more about PPF and Opportunity Cost here: brainly.com/question/28433459

#SPJ11

Answer:

-4

Step-by-step explanation:

How this helps!

The height above sea level changing with respect to distance in the direction the car is driving is 0.98 feet per mile.

To find this rate of change, we need to use the concept of partial derivatives. We're given a function that describes the height of the plain above sea level at any given point, which is given by:

h(x,y) = 1000 + 0.01x² + 0.02xy + 0.01y²

Here, x represents the number of miles east of a city, and y represents the number of miles north of the same city. The constant 1000 represents the initial height of the plain at the city itself.

This can be done using the Pythagorean theorem, since the car is moving northwest at a constant speed:

d² = x² + y²

Taking the derivative of both sides with respect to time (which we'll call t) gives us:

2dd/dt = 2x(dx/dt) + 2y(dy/dt)

Specifically, we know that:

dx/dt = -dy/dt

Substituting this relationship into our earlier equation gives us:

dd/dt = (-x/y)dx/dt

Now, we can use the chain rule to find the partial derivative of the height function with respect to d:

∂h/∂d = ∂h/∂x x ∂x/∂d + ∂h/∂y x ∂y/∂d

Using the chain rule and the fact that d² = x² + y², we can simplify this expression as follows:

∂h/∂d = (2xdx/dt + 2ydy/dt) x (∂h/∂x x x/d + ∂h/∂y x y/d)

Plugging in the expressions we derived earlier for dx/dt and dy/dt, we get:

∂h/∂d = (-2xy/y)dx/dt x (0.01x + 0.01y + 0.02xy/y) + (2xy/x)dy/dt x (0.01

Now, we need to plug in the expressions for ∂h/∂x and ∂h/∂y. These are given by:

∂h/∂x = 0.02x + 0.02y

∂h/∂y = 0.02x + 0.02y

Substituting these expressions into our earlier equation, we get:

∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.01x(0.02x + 0.02y) + 0.02y(0.02x + 0.02y) + 0.01y(0.02x + 0.02y) + 0.02x(0.02x + 0.02y)

Simplifying this expression, we get:

∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.04xy + 0.02x² + 0.03xy + 0.02y²

Collecting like terms, we get:

∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.07xy + 0.02(x² + y²)

Now, we can substitute in our expression for dx/dt in terms of dy/dt:

dx/dt = -dy/dt

This gives us:

∂h/∂d = 0.02ydy/dt - 0.02xdx/dt + 0.07xy + 0.02(x² + y²)

Finally, we can substitute in the values of x, y, and d that we're given in the problem (namely, x = 3 and y = 4 and d = 5):

∂h/∂d = 0.02(4)dy/dt - 0.02(3)(-dy/dt) + 0.07(3)(4) + 0.02(3² + 4²)

Simplifying this expression, we get:

∂h/∂d = 0.1dy/dt + 0.98

So the rate at which the height above sea level is changing with respect to distance in the direction the car is driving is given by 0.1 times the rate at which y (the number of miles north of the city) is changing with respect to time, plus a constant term of 0.98 feet per mile.

To know more about distance here

https://brainly.com/question/4199102

#SPJ4

Step-by-step explanation:

XY and BC - chords

XC, BA - diameter

XP, PC, BP, pA - radii

Answer:

B

Step-by-step explanation:

sqrt 20 = 4.47(3sf) = 4.5 (1dp)

Answer:

13º

Step-by-step explanation:

25-12=13

Answer:

The temperature will be 13 degrees.

Step-by-step explanation:

Take the current temperature and add 25 degrees

-12+25

25-12

23

The temperature will be 13 degrees.

Answer:it’s 72

Step-by-step explanation:

Answer:

b 120 cm

Step-by-step explanation:

Answer:

3cm is where the sercase is

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

Learn more about equalize here:

https://brainly.com/question/33293967

#SPJ11

Answer:

457

Step-by-step explanation:

Answer:

The answer is false it’s supposed to be 84

Step-by-step explanation:

Every 5 packets cost $1.85

John can afford 9.25 : 1.85 = 5 (times)

So, John bought 5 x 5 = 25 packets of noodles.

If he were to buy 40 packets, he would've had to pay 40 : 25 = 1.6 times more money.

So, he would've had to pay : 9.25 x 1.6 = 14.8 (dollars)

Since 14.8 < 15, $15 would be enough to pay for 40 packets of instant noodles.

The equation of the line that contains the point P(-4,6) and has slope 4 is  y=4x+22 .

The equation of line passing through the point (x₁,y₁) with slope (m) is given by the formula

(y-y₁)=m(x-x₁)

In the question ,

it is given that

the required line passes through the point P(-4,6) and has slope 4

So, x₁= -4 , y₁=6 and m = 4

Substituting the values of x₁, y₁ and m in the equation of line formula , we get

y-6=4(x-(-4))

y-6=4(x+4)

y-6=4x+16

y=4x+16+6

y=4x+22

Therefore , the equation of the line that contains the point P(-4,6) and has slope 4 is  y=4x+22 .

Learn more about Equation Of Line here

https://brainly.com/question/15169364

#SPJ1

Answer:

Step-by-step explanation:

sdfasdfffffffffff sdf sdf sdf sdf sdf sdf sdf

Answer:

Step-by-step explanation:

Anyas rate per hour = 40 ÷ 5 = 8

Lionel rate per hour = 14 ÷ 2 = 7

So the cheapest is Lionel

A . f(×)

IS POLYNOMIAL FUNCTION

or

E

the output of f(×) will remain greater than those of g(×) as input values continue to increase.

CORRECT ME IF I AM WHRONG.

THANK YOU.

Only option A, \(f(x)\) is a polynomial function is the correct answer based on the table given.

A polynomial is mathematical equation consisting of independent variables such that, for each value of the independent variable, the function have a unique value.

As for uniques values of the variable \(x\), the value of the function \(f(x)\) is unique so, \(f(x)\) is a polynomial function.

The function, \(g(x)\) is not a function as it have equal values for two different values of the variable \(x\).

Option E and F are incorrect as, we can see in the table that sometimes the value of \(f(x)\) is more and sometime the value of the function, \(g(x)\) is more.

Thus, only option A is the correct answer.

Learn more about Polynomials here- https://brainly.com/question/11536910

#SPJ2

Based on the given information, we can match each dot plot with its median as follows:

Dot plot 1: Median = 6

Dot plot 2: Median = 15

Dot plot 3: Median = 12

Dot plot 4: Median = 13

Given that;

The medians of the following dot plots are 6, 12, 13, and 15,

Now,

Four dot plots labeled dot plot 1, dot plot 2, dot plot 3, and dot plot 4 each with the numbers 0 through 20, in increments of 2, indicated.

And, The data are as follows:

Dot plot 1: 1, 1 dot. 2, 1 dot. 5, 2 dots. 6, 2 dots. 7, 1 dot. 8, 2 dots. 9, 1 dot.

Dot plot 2: 10, 2 dots. 11, 2 dots. 15, 3 dots. 17, 1 dot. 18, 1 dot. 19, 1 dot.

Dot plot 3: 5, 1 dot. 6, 1 dot. 9, 1 dot. 11, 2 dots. 13, 1 dot. 14, 1 dot. 15, 3 dots.

Dot plot 4: 8, 2 dots. 10, 2 dots. 13, 2 dots. 14, 1 dot. 16, 3 dots.

Hence, By given condition we get;

Dot plot 1: Median = 6

Dot plot 2: Median = 15

Dot plot 3: Median = 12

Dot plot 4: Median = 13

To learn more about Scatter Plot visit:

brainly.com/question/6592115

#SPJ1

The value of the angles are:

m∠1 = 82°

m∠2 = 98°

m∠3 = 23°

m∠4 = 59°

m∠5 = 121°

m∠6 = 51°

m∠7 = 59°

m∠8 = 70°

m∠9 = 51°

m∠10 = 129°

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

The sum of angles on a straight line = 180⁰

Alternate angles are equal.

m∠1 + m∠2 = 180°  ( sum of angles on a straight line = 180⁰)

m∠1 + 98 = 180

m∠1 = 180 - 98

m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (Angle sum property)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

m∠7 = 59°

and, m∠4 = m∠7 ( alternate angles are equal)

m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180°  (Angle sum property)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180°   (Angle sum property)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

m∠9 = 51°

m∠4 + m∠5 = 180° (linear pair)

m∠5 + 59 = 180

m∠5 = 180 - 59

m∠5 = 121°

m∠10 + m∠9 = 180°

m∠10 + 51 = 180

m∠10 = 180 - 51

m∠10 = 129°

Learn more about Angle sum Property here:

https://brainly.com/question/21364160

#SPJ9

Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.

To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:

If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).

If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).

Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.

If the Inspector chooses container B, the expected payoff is:

Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33

If the Inspector switches to container C, the expected payoff is:

Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33

Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.

For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:

Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33

If the Inspector switches to container C, then the Owner's expected payoff is:

Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33

Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

Learn more about payoff  here:

https://brainly.com/question/31773928

#SPJ11

Answer: A

Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.