5. Art has three times as much money as Flora. Together they have

Filipe was playing with a triangle on a coordinate plane. The triangle's area is 24 square units. The largest circle he can fit

pickupchik [31]

Answer:

52.36%

Step-by-step explanation:

First, you need to find the radius of the circle. You can do this by using the Pythagorean theorem, which states a^2+b^2=c^2. In this case, a and b are equal to 1.2 and 1.6, and c is the radius of the circle. Plugging in we get 1.2^2+1.6^2=c^2 or 1.44+2.56=c^2 or 4=c^2. Finding the square root of both sides of the equation, we find that 2=c. Now that we have the radius, we can find the area of the circle. The area of a circle is expressed as πr^2, and plugging in 2 for r we get an area of 4π, or ~12.56637. Now all we do is divide 12,56637 by 24 and get what percentage of the area of the triangle the circle covers, which is roughly 0.5236, or 52.36%

4 0

3 years ago

In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the res

Blizzard [7]

Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015, standard deviation = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

= 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

= 207.5385/26−1 ≈ 8.3015

iii) standard deviation = $\sqrt{variance}$

= $\sqrt{8.3015}$ = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

5 0

3 years ago

A system of identifying call letters uses call letters that begin either with E or W. Some have a total of 2 letters, and others

Klio2033 [76]

Answer:

If repetition is allowed then the different call letters possible are 1404.

If repetition is allowed then the different call letters possible are 1250.

Step-by-step explanation:

The call letter are of either 2 letter or 3 letters.

And for them to be identified they should start with either E or W.

If Repetition is allowed:

Consider the call letters with 2 letter:

Possible number of call letters starting with E : E _

The second place can be filled any of the 26 letters.

Possible number of call letters starting with W : W _

The second place can be filled any of the 26 letters.

Consider the call letters with 3 letter:

Possible number of call letters starting with E : E _ _

The second place and third place can be filled with any of the 26 letters.

Possible number of call letters starting with W : W _ _

The second place and third place can be filled with any of the 26 letters.

Total number of possible letters: 26 + 26 + (26)² + (26)² = 1404

Thus, if repetition is allowed then the different call letters possible are 1404.

If Repetition is not allowed:

Consider the call letters with 2 letter:

Possible number of call letters starting with E : E _

The second place can be filled any of the 25 letters.

Possible number of call letters starting with W : W _

The second place can be filled any of the 25 letters.

Consider the call letters with 3 letter:

Possible number of call letters starting with E : E _ _

The second place can be filled with any of the remaining 25 letters and the third can be filled with the remaining 24 letters.

Possible number of call letters starting with W : W _ _

The second place can be filled with any of the remaining 25 letters and the third can be filled with the remaining 24 letters.

Total number of possible letters: 25 + 25+ (25 × 24) + (26 × 24) = 1250

Thus, if repetition is allowed then the different call letters possible are 1250.

5 0

3 years ago

A corn plant is 5.267 ft tall select true or false.

Lyrx [107]

The answer to that question would be false

8 0

4 years ago

A shop sells 2 brands of sunflower seeds. Brand A's package is in the shape of a cone with radius 2.5 centimeters and height 10

OleMash [197]

The square prism would contain more seed than the cone because it has a larger volume.

<h3>Volume</h3>

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of cone = (1/3) * π * radius² * height = (1/3) * π * 2.5² * 10 = 65.45 cm³

The volume of square prism = base² * height = 5² * 2.5 = 62.5 cm³

The square prism would contain more seed than the cone because it has a larger volume.

Find out more on Volume at: brainly.com/question/1972490

5 0

3 years ago