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3 years ago

9

Rohan walks around the edge of a cirular lake exactly 15 times. If he walks around 2517 m in total, what is the diameter of the

lake?

1 answer:

pashok25 [27]3 years ago

5 0

Answer:

Diameter = 53.41 m

Step-by-step explanation:

2517/15 = 167.8 (circumference)

D=(C/pi)

C/pi = 53.41

D= 53.41

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Please help me need ASAP

Jet001 [13]

(3) y= 5x+ 13

you have to do the rise (ryse - with a y because it is the y value) over the run to get your slope and then subtract your slope from 18 to get 13.

4 0

3 years ago

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

<em>m</em> = $\frac{1}{20}$
<em>μ</em> = 20
<em>σ </em>= 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.

The decay parameter is, <em>m</em>.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

<u>Given</u>: The decay parameter is, $\frac{1}{20}$

<em>X</em> is defined as the distance people are willing to commute in miles.

The decay parameter is <em>m</em> = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

3 years ago

VladimirAG [237]

Answer:

Sphere Volume = (4/3) * PI * radius^3

radius = cube root (Sphere Volume) / (4/3)*PI

radius = cube root (5,600) / (4/3)*PI

radius = 11.016 cm

radius = 11 cm (rounded)

Answer is B

Step-by-step explanation:

4 0

3 years ago

Consider the following two loans for P=$12,000.

n200080 [17]

Answer:

Simple interest-?

Step-by-step explanation:

P= 12000

T=5yrs

R=5%

Now,

Simple interest - PTR/100

= 12000*5*5/100

= $3000

Again,

P=12000

T=3yrs

R=8%

Now,

Simple interest - PTR/100

= 12000*3*8/100

= $2880

Hope this helps.

4 0

2 years ago

Alice's garden produced 17 yellow tomatoes this year. She also grew 18 roma

Sever21 [200]

Answer:

C

Step-by-step explanation:

You add both types of tomatoes together to get the total amount of tomatoes

4 0

3 years ago