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Ymorist [56]
2 years ago
3

How many ways can 13 students line up for lunch? This is a (permutation or combination.) 13 students can line can line up ways.

(Do not answer in scientific notation.)
Mathematics
1 answer:
Rashid [163]2 years ago
8 0

Answer:

The number of ways of doing so is:

           6227020800

Step-by-step explanation:

We know that the number of ways of arranging n people or things or number is done by the rule as:

                             n!

We know that the formula is given by:

Here we are asked to arrange 13 students in a line for a lunch.

So, the number of ways of doing so is calculated as:

                               

     Hence, the number of ways of doing so is:

             6227020800

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Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo
Katena32 [7]

Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least"  is equal to "greater than or equal"

so

The inequality that represent this scenario is

70-5t \geq 55

solve for t

-5t \geq 55-70

-5t \geq -15

Multiply by -1 both sides

5t \leq 15

Divide by 5 both sides

t \leq 3

Sven is incorrect

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

5 0
2 years ago
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t
worty [1.4K]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

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S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

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2 years ago
To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou
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Answer: <u>Last option</u>

Z_ {13} = 0.5,\ Z_ {17} = 2.5

Step-by-step explanation:

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

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Therefore the answer is:

Z_ {13} = 0.5,\ Z_ {17} = 2.5

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Hope this answer will be a good help for you.

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