If line d intersects plane f, then how many points on line d also lie on plane f?

Answers

Answer 1
Answer:

Answer:

One point

Step-by-step explanation:

Given information: line d intersects plane f.

Plane: In mathematics, a flat, 2D surface that extends infinitely far is know as plane.

Line: A line of infinite number of points that extends infinitely in two directions is know as line.

In 3D, a line can be parallel to the plane, lie on the plane and intersect then plane.

(a) If line is parallel, then no point on the line lie on the plane.

(b) If line is on the plane, then infinite points on the line also lie on the plane.

(c) If line intersects plane, then only one point on the line also lie on the plane that is point of intersection.

It is given that line d intersects plane f.

If line d intersects plane f, then only 1 one point on line d also lie on plane f.

Answer 2
Answer: i think the answer would be one point


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A rectangle has a length of 23 inches and a perimeter of 74 inches. what is the width of the rectangle?

Answers

Perimeter = 2(l+b)
74 = 2 ( 23 + b )
b = 14
width = 14 inches
Perimeter, P = 2*(L + W), 

Where L = Length, W = Width

P = 2*(L + W)

74 = 2*(23 + W)

74/2 = (23 + W)

37 = (23 + W)

37 - 23 = W

14 = W

W = 14

The width is 14 inches.

How do I construct a sample data set for which n=7, x=9(x bar), and s=0?

Answers

When the standard deviation = 0, there is no deviation at all. So the numbers are all the same. And there are seven of them. And the average is nine. 
So the sample data set would just be seven 9s. 

Final answer:

To create a sample data set with n=7, a mean of 9, and a standard deviation of 0, all seven data points must be identical to the mean, resulting in the data set {9, 9, 9, 9, 9, 9, 9}.

Explanation:

To construct a sample data set with n=7, where \(\overline{x}=9\) (x bar is the sample mean), and s=0 (s is the sample standard deviation), follow these steps:

  1. Understand that if the standard deviation s is zero, all data points in the sample must be identical.
  2. Since the sample mean \(\overline{x}\) is given as 9, all seven data points in the sample must also be 9 to achieve a standard deviation of 0.
  3. Thus, the sample data set will simply be {9, 9, 9, 9, 9, 9, 9}.

Remember that the sample mean is calculated as the sum of all data values divided by the number of values (n), and the sample standard deviation measures the amount of variation or dispersion of a set of values. A standard deviation of zero indicates that all values are identical to the mean.

Un jardín rectangular de 50 m de largo por 34 m de ancho está rodeado por un camino de arena uniforme.Halla la anchura de dicho camino si se sabe que su área es 540 metros

Answers

Answer:

h = 3.214\,m

Step-by-step explanation:

El área total del camino es el producto del perímetro del jardín y el ancho del camino:

A = 2\cdot (w + l) \cdot h

Donde:

w - El ancho del jardín, en metros.

l - El largo del jardín, en metros.

h - El ancho del camino, en metros.

El ancho del camino es:

h = (A)/(2\cdot (w+l))

h = (540\,m^(2))/(2\cdot (50\,m + 34\,m))

h = 3.214\,m

In a study of homeowners, 500 were randomly chosen. It was found that 23% of the people did not have a mortgage and owned their homes outright. Determine whether 23% is a statistic or a parameter.A.
It is a parameter because the value describes a characteristic of a population.

B.
It is a statistic because the value describes a characteristic of a sample.

C.
It is a parameter because the value describes a characteristic of a sample.

D.
It is a statistic because the value describes a characteristic of a population.

Answers

A statistic describes the characteristics of a sample while a parameter describes the characteristics of a population.

Here, the population is home owners while the selected 500 home owners is a sample.

It was observed that 23% of the selected 500 home owners (SAMPLE) .....

Hence, 23% is a statistic because it describes a caharacteristic of a sample.

Answer: B

Answer:

B.

It is a statistic because the value describes a characteristic of a sample.

If BC is parallel to DE, then all of the following are equivelient to each other acceptA) AD/AB
B) DE/BC
C) CE/AC
D) AE/AC

Answers

Answer:

The answer is C, I just got it right on a quiz. Good luck!

Step-by-step explanation:

Complete the proportion: 7/11 = ?/121

Answers

7 x *cross multiply
-- = --
11 121
11x 847 *divide
--- = -----
11 11
x = 77