The peak of one mountain is 6 mi above sea level. The peak of another is 4 mi below sea level. What is the difference in altitude between the two mountain peaks?

Mean is the measure of center that the player should report. So option A:  "The player should report the mean" is the correct answer choice.

The mean is a measure of center that represents the average value of a set of data. If the team has scored a lot of points and the distribution of their scores is relatively symmetrical, the mean will provide a good summary of the central tendency of the data.

In contrast, the median is a measure of center that represents the middle value of a set of data when the data is arranged in order. The median is a useful measure of center when the distribution of the data is skewed or has outliers, as it is less affected by extreme values than the mean.

Therefore, if the player wants to emphasize that the team has scored a lot of points and the distribution of their scores is relatively symmetrical, he should report the mean.

You can learn more about mean at

https://brainly.com/question/1136789

#SPJ4

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

learn more about inverse Laplace transform: https://brainly.com/question/27753787

#SPJ4

By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.

Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.

Each element of an matrix A has an associated index with the following form:

\(a_{i,j}\)

Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".

In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.

To learn more on matrices: https://brainly.com/question/11367104

#SPJ1

Given:

Equations are given in the roots.

In square root, if two terms are in the root means we cn write one term outside the root.

77.5d + .14m

m = 425

.14 * 425 = 59.5

77.5d + 59.5 ≤ 230

77.5d ≤ 170.5

d ≤ 170.5/77.5

d ≤ 2.2

if they only take payment for whole days, he has 2 whole days

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

Learn more about equation at https://brainly.com/question/14107099

#SPJ1

Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Since slope is 5, equation is y = 5x + c.

Substitute (2,-4) into the equation to find c.

-4 = 5(2) + c

c = -14

Hence equation of line is y = 5x - 14

Answer:

11.22 to the nearest tenth is 11.2

2.633 to the nearest tenth is 2.6

if you add them together to the nearest tenth it is 13.9

if you add them together when they're already at the nearest tenth it is 13.8

Step-by-step explanation:

The value of r is: r = 18 / (3 - 4 · cos θ) for the given eccentricity 4/3, vertices (3, π), (21, 2π).

The given conic has a focus at the origin and the following data:

eccentricity 4/3, vertices (3, π), (21, 2π).

The equation of the conic can be found by using the formula

r = e · d / (1 - e · cos θ),

where r is the distance from the origin to the point on the curve,

e is the eccentricity,

d is the distance from the origin to the focus, and

θ is the angle the line from the focus to the point on the curve makes with the x-axis.

Using the given data, we can find the distance from the origin to the focus:

d = 3 / (2/3)

= 9/2

Now we can use the formula to find the polar equation of the ellipse:

r = e · d / (1 - e · cos θ)

r = (4/3) · (9/2) / (1 - (4/3) · cos θ))

r = 6 / (1 - (4/3) · cos θ)

Multiplying numerator and denominator by 3, we get:

r = 18 / (3 - 4 · cos θ)

So, the polar equation of the conic is:

r = 18 / (3 - 4 · cos θ).

Know more about the polar equation

https://brainly.com/question/28976035

#SPJ11

Answer:

tyuiiiiiittghh gf dssddddddddd

Answer: The numbers of flowers she could have picked are 21, 24, 27, 30, 33, and 36.

Why?: These are all multiples of 3 between 20-40.

The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

We have,

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.

The amount of waste a cylinder can hold will be given by the volume of the cylinder.

The volume of the cylinder will be

V= π/4 * d²h

We have

d = 1.5 ft

h = 1.6 ft

Then

Volume =π/4 * 1.5² *1.6

             = 2.82 ft^3

             =3ft^3

Hence, The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

More about the cylinder link is given below.

brainly.com/question/3692256

#SPJ1

Answer:

2 batches

Step-by-step explanation:

I will give no explanation

Answer:

Step-by-step explanation:

Draw a tape diagram then just dived them and you get 2 batches

Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c

If the union of three subspaces of V is a subspace, then one of the subspaces must contain the other two. In other words, if V is a vector space and U, W, and X are subspaces of V, then U ∪ W ∪ X is a subspace of V if and only if one of U, W, and X contains the other two.

Let's suppose that V is a vector space and U, W, and X are subspaces of V such that U ∪ W ∪ X is a subspace of V. This implies that U ∪ W ∪ X contains the zero vector since it is a subspace of V.

Then, the proof will take three parts:Part 1: WLOG, assume that U contains the zero vector. This means that W and X are subspaces of U ∪ W ∪ X.

Part 2: Show that either W is a subset of X or X is a subset of W.Part 3: Since U is a subspace of U ∪ W ∪ X, it follows that W is a subset of U or X is a subset of U. Without loss of generality, assume that W is a subset of U. Then, X is also a subset of U because U ∪ W ∪ X is a subspace of V.

Hence, the proof is complete.

To know more about vector visit:

https://brainly.com/question/30958460

#SPJ11

15 feet hope this helps UwU

9514 1404 393

Answer:

  a = -2, h = 2, k = 1

Step-by-step explanation:

Compare the expressions. Match one pattern to the other.

  \(f(x)=-2|x-2|+1\\\\f(x)=\ \,\,a|x-h|+k \qquad\ a=-2,\ h=2,\ k=1\)

__

The transformations are ...

  Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.

  Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.

A table and graph are shown in the attachment.

Answer:

4

Step-by-step explanation:

Answer:

-2x - 2y

Step-by-step explanation:

I am not sure what this is asking so here we go...

3(x + y ) - 5(x + y)

3x + 3y - 5x - 5y

-2x - 2y

The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)

The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)

The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)

Given, that Triangles be drawn according to the spiraling pattern

let hypotenuse of 1st triangle be \(h_{1}\), hypotenuse of 2nd triangle be \(h_{2}\) and so on.

as, we know Pythagoras theorem i.e.

\(hypotenuse^{2} = base^{2} + perpendicular^{2}\)

In 1st triangle,

base = 2 units and perpendicular = 1 unit

On applying Pythagoras theorem in 1st triangle, we get

\(h_{1}^{2}=2^2 +1^2\)

\(h_{1}^2=5\\ h_{1} = \sqrt{5}\) ... (1)

Now, hypotenuse of 1st triangle will be the base of 2nd triangle

so, In 2nd triangle,

base = \(\sqrt{5}\) units and perpendicular = 1 unit

On applying Pythagoras theorem in 2nd triangle, we get

\(h_{2}^2 = \sqrt{5}^2 + 1^2\)

\(h_{2}^2=5+1\\h_{2}^2=6\\ \\h_{2}=\sqrt{6} \\\)... (2)

Now, observing Eq (1) and Eq (2) we can define a rule to find the hypotenuse of nth triangle i.e.

\(h_{n}=\sqrt{4+n}\)

So, the hypotenuse of the 4th triangle be

\(h_{4}=\sqrt{4+4}\\ h_{4}=\sqrt{8}\\ h_{4}=2\sqrt{2}\)

Also, the hypotenuse of the 100th triangle be

\(h_{100}=\sqrt{100+4}\\ h_{100}=\sqrt{104}\\ h_{100}=2\sqrt{26}\)

The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)

The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)

The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)

Learn more about Pythagoras Theorem here https://brainly.com/question/343682

#SPJ9

Answer:

122

Step-by-step explanation:

i think cause they would be parallel

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

More can be learned about exponential functions at https://brainly.com/question/30113628

#SPJ1

Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

To know more about the statistics

https://brainly.com/question/15525560

#SPJ4

The calculated value of the test statistic is 1.61.

To determine the calculated value of the test statistic, we need to perform a hypothesis test based on the given information.

Let's denote the rate of late deliveries as p. The null hypothesis (H0) is that the rate of late deliveries is equal to or less than 0.2 (p ≤ 0.2), and the alternative hypothesis (Ha) is that the rate of late deliveries is greater than 0.2 (p > 0.2).

In this case, we are given that Paul had 14 late deliveries out of 45 deliveries on Saturday. We can calculate the sample proportion of late deliveries as:

P = 14 / 45 ≈ 0.3111

To conduct the hypothesis test, we will use the z-test for proportions since we have a large sample size.

The test statistic for a z-test for proportions is calculated as:

z = (P - p0) / √(p0(1 - p0) / n)

where P is the sample proportion,
p0 is the hypothesized proportion under the null hypothesis, and
n is the sample size.

In this case, p0 is 0.2 (as specified by the manager's policy) and n is 45 (the number of deliveries).

Calculating the test statistic:

z = (0.3111 - 0.2) / √(0.2(1 - 0.2) / 45)

  ≈ 1.6104

Therefore, the calculated value of the test statistic is approximately 1.6104.

Based on the answer choices provided, the closest value is 1.61.

To know more about Hypothesis test refer here:

https://brainly.com/question/32874475#

#SPJ11