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jeyben [28]
4 years ago
13

There are 6 students participating in a poetry contest, in how many ways can the students who go first and second in the bee be

chosen?
Mathematics
1 answer:
lukranit [14]4 years ago
3 0

Answer:

There are are 30 possible ways for the 6 students to be ranked 1st and 2nd

Step-by-step explanation:

There are 6 students, and any of them could receive first place. Therefore, there are 6 possibilities for first place.

A student cannot receive first and second place, so the student who won first place cannot also win second place. Therefore, there are only 5 students who could win second place.

We can multiply these two possibilities to find the number of possible rankings of 1st and 2nd

6*5=30

There are are 30 possible ways for the 6 students to be ranked 1st and 2nd....

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Ex: 7^3=(7×7×7) --- 7×7=49×7=343
7 0
3 years ago
Please help!! I’m not sure how to answer this question!!
nlexa [21]
<h3>Answer:  9V</h3>

=============================================================

Reason:

The volume expression of a cone with radius r and height h is

\frac{1}{3}\pi*r^2*h

Let's plug in the given height h = 12 and we'd get

\frac{1}{3}\pi*r^2*h\\\\\frac{1}{3}\pi*r^2*12\\\\\left(\frac{1}{3}*12\right)\pi*r^2\\\\4\pi*r^2\\\\

This is the volume of the first cone. We're told the first cone has a volume of V, so we can say V = 4\pi r^2

We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.

The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r

Replace every copy of r with 3r. Then simplify

4\pi*r^2\\\\4\pi*(3r)^2\\\\4\pi*9r^2\\\\9(4\pi r^2)\\\\9V\\\\

The radius tripled which results in a volume that's 9 times bigger.

3 0
2 years ago
Hyperloop, a new mode of travel, aims to reach a speed of 170170 \dfrac{\text{m}}{\text{s}} s m ​ . This is 50\%50% less than th
liraira [26]

Answer:

Speed of sound is 340 meter per second.

Step-by-step explanation:

Let the speed of sound = x meter per second.

It is given that,

The new mode of travel has the speed 170 meter per second, which is 50% less than the speed of sound.

So, we get,

x - 50%x = 170

i.e. x - 0.5x = 170

i.e. 0.5x = 170

i.e. x = 340 meter per second

Hence, the speed of sound is 340 meter per second.

7 0
3 years ago
In a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Interne
Dvinal [7]

Answer:

b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.

Step-by-step explanation:

Given that in a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Internet in a typical week. The mean of the sample observations was 12.9 hours.

H_0: \bar x =12.7\\H_a: \bar x >12,7

(Right tailed test at 5% level)

Mean difference = 0.2

Std error = \frac{6}{\sqrt{1000} } \\=0.1897

Z statistic = 1.0540

p value = 0.145941

since p >alpha we do not reject H0.

b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.

5 0
3 years ago
Michael wrote a novel that sells for $20 dollars each. He received a bonus of $50,000 to sign the contract to write the book, an
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$50000 + (9%x(10000x$20)=
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3 years ago
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