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3 years ago

Which ratio is equal to the number π

Mathematics

1 answer:

Blizzard [7]3 years ago

7 0

Answer: 3.14

Step-by-step explanation:

Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

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Greatest common factor of 50,50

zubka84 [21]

Answer:

The greatest common factor of 50

Step-by-step explanation:

Greatest Common Factor (GCF) of two numbers

and the factors of 50 are 1, 2, 5, 10, 25 and 50.

8 0

2 years ago

Josh at has a collection of 1,200 music CDs. He considers 1/6 of his collection rock music. Of the rock music CDs 20 percent by

SpyIntel [72]

Answer:

Step-by-step explanation:

Josh has a collection of 1,200 music CDs. He considers 1/6 of his collection rock music. This means that the number of rock music CDs that he has is

1/6 × 1200 = 200

Of the rock music CDs, 20 percent are by solo artist. This means that the number of CDs by solo artist is

20/100 × 200 = 40

Of the solo artist 2/5 are by female artist. It means that the number done by female solo artists is

2/5 × 40 = 16

5 0

3 years ago

A comet travels at an average speed of 233,000 km/h.

mixer [17]

Answer:

39,144,000 km

Step-by-step explanation:

Hi there!

Distance traveled = time * speed

Given speed: 233000 km/h

Given time: 7 days

It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.

There are 24 hours in 1 day.

So to convert days to hours simply multiply amount of days by 24

24 * 7 = 168

So the comet has traveled for 168 hours

Now we can find distance traveled

Once again distance traveled = time * speed

Given speed is 233000 km/h

Given time is 168 hours

Distance = 168 * 233000 = 39,144,000

So the comet has traveled for a total distance of 39,144,000 km

3 0

3 years ago

At Gwen’s bakery over the course of a year she sold 78 cakes for $78 a cake. At the end of the year she determined that for each

cluponka [151]

Answer:

Step-by-step explanation:

1/6 x 78

1/6 of 78 = 13

5 0

3 years ago

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied y

ioda

Answer:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

$s= \sqrt{856849.7}=925.662$

Step-by-step explanation:

For this case we can create the following table

Interval Frequency (f) Midpoint(xi) xi *f xi^2* f

0-499 9 249.5 2245.5 560252.3

500-999 13 749.5 9743.5 7302753

1000-1499 33 1249.5 41233.5 51521258.25

1500-1999 115 1749.5 201193.5 361986278.8

2000-2499 125 2249.5 281187.5 632531281.3

2500-2999 81 2749.5 222709.5 612339770.3

3000-3499 47 3249.5 152726.5 496284761.8

3500-3999 45 3749.5 168727.5 632643761.3

4000-4499 22 4249.5 93489 397281505.5

4500-4999 10 4749.5 47495 225577502.5

Total 500 1220750 3408029125

$\sum f_i = 500 , \sum x_i f_i = 1220750, \sum x^2_i f_i = 3408029125$

For this case we can calculate the sample mean with this formula:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

And for the sample variance we can use the following formula:

$s^2= \frac{\sum x^2_i f_i - \frac{(\sum x_i f_i)^2}{n}}{n-1}$

And if we replace we got:

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

And the deviation is just the square root of the sample variance and for this case is:

$s= \sqrt{856849.7}=925.662$

4 0

2 years ago