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vladimir2022 [97]
3 years ago
5

Ryan surveyed people about the total money they spend with respect to the number of hours they spend at a shopping center. He re

corded the results of the survey in the scatter plot below. Select all the correct answer's
A. The scatter plot contains more than 4 outliers.

B. The point (8,80) is an outlier, because it represents the customer who spent the most time shopping.


C. The point (2,60) is an outlier, because it is far away from the rest of the points.

D. There is an outlier at (4.5,15).

E. There is an outlier at (5.5,45).

F. The point (7.5,85) is an outlier, because it represents the customer who spent the most money.

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

Answer:

-There is an outlier at (4.5,15).

-The point (2,60) is an outlier, because it is far away from the rest of the      points.

Step-by-step explanation:

An outlier is a data point that is far away from the rest of the data. An outlier does not necessarily represent the extremes in a set of data, as long as it is close to the other points. So, based on the scatter plot, there are two outliers at (2,60) and (4.5,15).

The following statements are true.

There is an outlier at (4.5,15).

The point (2,60) is an outlier because it is far away from the rest of the points.

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City is located at a height of 138 m above sea level while a town is at a height of 51 m below sea level represent the altitude
hammer [34]

Answer:

189m

Step-by-step explanation:

Altitude of city = 138m. Altitude of town below sea level = 51m. = 189m.

8 0
3 years ago
Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2 comma 0
SVETLANKA909090 [29]

Answer:

The volume of the tetrahedron is:

\frac{50}{3}=16.667

Step-by-step explanation:

The volume of the tetrahedron is given by the intersection of the planes x = 0, y = 0, z = 0 and the plane formed by the three points given.

The equation of the plane formed by the three points is:

Points: (2,0,0);(0,5,0);(0,0,4)

\pi :\frac{x}{2} +\frac{y}{5} +\frac{z}{4} =1

It can also be expressed as:

10x + 4y+5z=20

We have to calculate the triple integral, therefore we must define the domain:

The values of x are given by:

0≤x≤2

We will integrate the values of y between the y = 0 axis and the line formed when z = 0:

z=0 ⇒ 10x + 4y=2 ⇒ y=\frac{20-10x}{4} =

0\leq y \leq 5-\frac{5}{2}x

We will integrate the values of z between the plane z = 0 and the plane 10x + 4y+5z=20

10x + 4y+5z=20 ⇒ z=\frac{20-10x-4y}{5} =4-2x-\frac{4}{5}y

0\leq z \leq  4-2x-\frac{4}{5}y

The volume of the tetrahedron is:

\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \ \ \ \int\limits^{4-2x-\frac{4}{5}y }_{0} {z} \, dz\, dy \,dx

\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \frac{z^2}{2}|^{4-2x-\frac{4}{5}y}_0\, dy \,dx

\frac{z^2}{2}|^{z=4-2x-\frac{4}{5}y}_{z=0}=\frac{5}{25}(5x+2(y-5))^2

\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} {\frac{5}{25}(5x+2(y-5))^2}\, dy \,dx

\int\limits^{2}_{0} {-\frac{25}{6}(x-2)^3} dx=-\frac{25}{24} (x-2)^4|^{2}_{0}=\frac{50}{3}

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4 years ago
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<span>-4x +2y =24

<u>x-intercept
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<u>y-intercept</u>
x=0, 2y=24, y=12

(0, 12)</span>
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The answer to this question is 16m
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Answer:

1,680

Step-by-step explanation:

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