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2 years ago

Sketch a plane containing points E,D, and B; where E and B are collinear with A , and D is a vertex where CD and FD meet.

Mathematics

1 answer:

Irina18 [472]2 years ago

8 0

Solution:

we have been asked to sketch a plane containing points E, D and B.

where E and B are collinear with A. It mean all thses three points will fall on a straight line. Also D is a vertex where CD and FD meets.

The sketch has been attched below.

Here as you can see three points are in a staright line and we have another one in whuch two vectors CD and FD are meeting at the vertex D.

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madreJ [45]

Answer:

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

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And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

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2 years ago

in circle o, points a and b lie on the circle such that OA=5x-11 and OB=4(x-1) what represents the length of the circle' s diame

AysviL [449]

We know that
if points a and b lie on the circle and O is the center
so
OA is the radius
OA=OB
5x-11=4(x-1)-----> 5x-11=4x-4----> 5x-4x=11-4-----> x=7
OA=5x-11-------> OA=5*7-11-----> OA=24 units

the diameter is (OA+OB)
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For the second cube, this is
V=(3g²)(3g²)(3g²)=27g⁶.

The total area is their sum, so 8f³+27g⁶.

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---
With wind DATA:
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----
Against wind DATA:
distance = 120 miles ; time = 1 hr ; rate = 120 mph
-----

Equation::
Let p be speed of the plane in still air
Let w be speed of the wind
==================================
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Against wind:: p - w = 120 mph
================================

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