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emmainna [20.7K]
2 years ago
13

24% of students in a class are girls. If there are less than 30 students in this class, how many students are there? How many gi

rls are there?
Mathematics
1 answer:
castortr0y [4]2 years ago
5 0

Answer:

Step-by-step explanation:

The GCF (greatest common factor) of 24 and 30 is 6.

30-30/6=25

25 students in the class

24% of 25 is 6

6 girls in the class

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Answer pls so i can pass
Leto [7]

Answer: rounded: 2400

60 * 40

Actual: 2508

Step-by-step explanation:

8 0
3 years ago
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Find the radius of convergence, then determine the interval of convergence
galben [10]

The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.  

<h3>Find the radius of convergence R and the interval of convergence:</h3>

Ratio test is the test that is used to find the convergence of the given power series.  

First aₙ is noted and then aₙ₊₁ is noted.

For  ∑ aₙ,  aₙ and aₙ₊₁ is noted.

\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }| = β

  • If β < 1, then the series converges
  • If β > 1, then the series diverges
  • If β = 1, then the series inconclusive

Here a_{k} = \frac{(x+2)^{k}}{\sqrt{k} }  and  a_{k+1} = \frac{(x+2)^{k+1}}{\sqrt{k+1} }

   

Now limit is taken,

\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }| = \lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|

= \lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|

= \lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|

= |{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}

= |{x+2 }| < 1

- 1 < {x+2 } < 1

- 1 - 2 < x < 1 - 2

- 3 < x < - 1

 

We get that,

interval of convergence = (-3, -1)

radius of convergence R = 1

Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.

Learn more about radius of convergence here:

brainly.com/question/14394994

#SPJ1

5 0
1 year ago
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Estimate 22274 divided by 37​
emmasim [6.3K]

Answer:

i believe the answer 602

Step-by-step explanation:

tell me if im wrong but hoped I helped:)

5 0
3 years ago
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if a right circular cone has a volume of 15 cubic ft and a radius of 3 ft, what is the height of the cone?
Setler79 [48]
Volume of cone=1/3 times height times pir^2
v=15
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15=1/3hpi9
15=9/3hpi
15=3hpi
divide 3
5=hpi
h=5/pi
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3 years ago
i suck at geometry but if you can explain on how j can find radius without having a picture pulled up that would be great!
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I believe it equals 360
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