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valentinak56 [21]
3 years ago
5

While standing on a highway overpass, Jennifer wonders what proportion of the vehicles that pass on the highway below are trucks

. The highway has 4 lanes running in each direction. Jennifer is only interested in the proportion of vehicles that pass over the course of the hour that she spends there. Which of the following sampling methods would be best for Jennifer to employ?
Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer:Obtain a systematic sample by selecting every 20th vehicle that passes (in any lane and going in any direction).

Step-by-step explanation:

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Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).
sleet_krkn [62]

Answer:

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30

Step-by-step explanation:

The general equation of a sphere is as follows:

(x - x_{c})^{2} + (y - y_{c})^{2} + (z - z_{c})^{2} = r^{2}

In which the center is (x_{c}, y_{c}, z_{c}, and r is the radius.

In this problem, we have that:

x_{c} = 3, y_{c} = 8, z_{c} = 1

So

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = r^{2}

through the point (4,3,-1)

This leads us to find the radius.

(4 - 3)^{2} + (3 - 8)^{2} + (-1 - 1)^{2} = r^{2}

r^{2} = 1 + 25 + 4

r^{2} = 30

So the equation of the sphere is:

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30

6 0
3 years ago
There is a jar jelly beans on Mr Scrooge's desk 40% of the jelly beans are red if there are 55 jelly beans in the jar how many a
horsena [70]

Answer:

22 jelly beans are red.

Step-by-step explanation:

40 percent of 55 is 22 :)

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8 0
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Read 2 more answers
Can someone please answer. There is only one problem. There's a picture. Thank you!
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1540.5 .
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Step-by-step explanation:

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