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ozzi
3 years ago
11

The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the F

erris wheel rotates through an angle of 4.1 radians? Round your answer to nearest tenth of a foot
Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:

322.0 ft

Step-by-step explanation:

d = ∅r

d = 4.1 π * 25

d = 322.013246993

Rounded

322.0 ft

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At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia
soldier1979 [14.2K]

Answer: 20

Step-by-step explanation:

5 0
3 years ago
The population of a town in 2007 is 113, 505
ELEN [110]

from 2007 to 2012 is only 5 years, so we can see this as a compound interest with a rate of 1.2% per annum for 5 years, so

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$113505\\ r=rate\to 1.2\%\to \frac{1.2}{100}\dotfill &0.012\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=113505\left(1+\frac{0.012}{1}\right)^{1\cdot 5}\implies A=113505(1.012)^5\implies A\approx 120481

7 0
2 years ago
Suppose the parent population has an exponential distribution with a mean of 15 and standard deviation of 12. Use the Central Li
bazaltina [42]

Answer:

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 15

Standard deviaiton = 12

Sample of 30

By the Central Limit Theorem

Mean 15

Standard deviation s = \frac{12}{\sqrt{30}} = 2.19

Approximately normal

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

4 0
3 years ago
What is the sum of the geometric sequence −4, 24, −144, ... if there are 8 terms?
Helga [31]

Answer:

The sum of 8 geometric sequence is 959780

Step-by-step explanation:

We are given

this sequence is geometric

-4 , 24 , -144

First term is -4

so, a_1=-4

now, we can find common ratio

r=\frac{24}{-4}=-6

we can use formula

S_n=a_1(\frac{1-r^n}{1-r} )

n=8

now, we can plug values

S_8=-4(\frac{1-(-6)^{8}}{1+6} )

now, we can simplify it

and we get

S_8=959780

4 0
4 years ago
Simplify the expression using positive exponents.<br>​
Maksim231197 [3]
The answer is - 2x/3y
5 0
3 years ago
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