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m_a_m_a [10]
2 years ago
12

A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10−16 kilometer. How many times la

rger is the diameter of the dish than the diameter of the bacterium?
Mathematics
1 answer:
Blizzard [7]2 years ago
7 0

Answer:

100000000000 times

Step-by-step explanation:

Given

Diameter of Dish = 0.00001 km

Diameter of Bacterium = 10⁻¹⁶ km

Required

Determine the number of times the diameter of dish is bigger than that of the bacterium

<em>To solve this, we simply divide the diameter of dish by the diameter of the bacterium as follows</em>

<em></em>

Ratio = \frac{Dish}{Bacterium}

Ratio = \frac{0.00001}{10^{-16}}

Ratio = 100000000000

<em>Hence, the diameter of the dish is 100000000000 times larger than the diameter of the bacterium</em>

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Question 18 Item 18 The distribution of the number of moths captured per night by a certain moth trap is approximately normal wi
juin [17]

Answer:

Standard deviation 46.3

Step-by-step explanation:

A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.

Z score is calculated as follows:

z = \frac{x-\mu}{\sigma}

x is the number being evaluated

μ is the mean

σ is the standard deviation

And it is used to calculate how many standard deviations you are from the mean of the sample.

Replacing with the known information you can calculate the standard deviation:

\sigma=\frac{x-\mu}{z} =\frac{76-103}{-0.5828}= 46.3

4 0
2 years ago
Round 3659 to the nearest thousand
Kryger [21]
It is 4,000. :P
The 6 in the hundreds tells you to round up. 4 and under, keep it. 5 and up, raise it by one. :)
5 0
2 years ago
Read 2 more answers
Betty paints twice as fast as Dan. Working together, Dan and Betty can paint 2, 400 square feet in 4 hours. Another employee, Su
Natalija [7]

Answer:

2670 square feet. Option e.

Step-by-step explanation:

Dan and Betty can paint 2,400 square feet in 4 hours.

They can paint in one hour \frac{2400}{4} = 600 square feet.

Since given that Betty paints twice as fast as Dan. Let us take an equation:

Let Betty = B, Dan = D and Sue = S

B = 2D

4(B+D) = 2400

4B + 4D = 2400

12D = 2400

D = 200 sq. ft.

B = 2D = 400 sq. ft.

Therefore, Dan can paint 200 square feet in 1 hour and Betty paints twice 400 square feet in 1 hour.

Now given three of them can paint 3,600 square feet in 3 hours.

3( B+D+S) = 3600

3B + 3D + 3S = 3600

3(400) + 3(200) + 3(S) = 3600

1200 + 600 + 3S = 3600

S = 600 Sq. ft.

Sue can paint 600 square feet in one hour.

So sue can paint in 4 hours and 27 minutes.

(\frac{4+27}{60}) × 600

= 2670 square feet. Option e.

8 0
2 years ago
A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (4, 7). What is
PilotLPTM [1.2K]

Answer:

  • (3, 7)
  • 23.20°

Step-by-step explanation:

The vector in component form is the difference of the coordinates of its end points:

  rock - ship = (4, 7) - (1, 0) = (3, 7) . . . . vector from ship to rock

__

The angle from North can be found using the tangent relation:

  tan(bearing) = (east distance)/(north distance) = 3/7

  bearing = arctan(3/7) ≈ 23.1986°

The bearing of the rock is 23.20°.

3 0
2 years ago
My clock in the lounge room is 10 minutes slower than the clock on my phone which is 6 minutes slow. My tram always leaves 6 min
jasenka [17]
So, the tram is scheduled to be about at 8:55, but it always leaves earlier by 6 minutes, so it really doesn't leave at 8:55 but 6 minutes before or 8:49, so you better be there at 8:49 to catch it.

the Phone Clock is slower by 6 minutes, so 8:49 on the phone will really be 8:43.

the Lounge Clock is slower than the Phone's by 10 minutes, so 8:43 on the phone is really 8:33 on the Lounge's Clock.

now to get to the tram stop, it takes you 20 minutes, so you can't go at 8:33 according to the lounge clock unless you're flash gordon, but you're not, it takes you 20 minutes to get there, so you need to leave 20 minutes before that, or 8:33 - 20 minutes, 8:13.
7 0
2 years ago
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