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sveticcg [70]
3 years ago
5

There are 18 women and 20 men in a room. Of the women, 10 are older than 35 years old. Of the men, 9 are older than 35 years old

. A person
is randomly selected from the room. What is the probably that the person selected will be a woman or a person older than 35 years old?
Draw a Venn diagram to illustrate the situation.
Mathematics
1 answer:
Vinvika [58]3 years ago
7 0
Answer: 50%

Step 1 add 18+20 = 38

Step 2 add 10+9= 19

Step 3 divide 19 by 38 = 2

So if would be half which is equal to 50%

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A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

  1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

  B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

  V = Bh = (108√3)(12) = 1296√3 . . . cubic units

_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0
3 years ago
John receives two credit card offers in the mail. Credit Card A: 1% introductory APR, 19.9% APR for purchases after the introduc
musickatia [10]

Answer:

(D) "...because he will not have to pay any interest on his purchases during the introductory APR period."

Step-by-step explanation:

There may be many reasons for John to choose one over the other depending on his future and planned usage patterns. However, answer the (D) is the only correct one in terms of stating a reason that is actually supported by the information in the question. Specifically, there is 0% APR for card B.

What's wrong with the other choices:

Choice A: incorrect statement re APR after intro period (is not 1%); B: incorrect statement re cash advance (is not 0%); C: statement is not supported by anything in the information given (it is an assumption, and is unlikely).

5 0
3 years ago
Read 2 more answers
Dave uses 500 milliliters of juice for a How many more punch recipe He mixes it with 2 liters of ' pears did she buy ginger ale
Yakvenalex [24]
1 liter: 1000 ml

so 2 liters: 2000 ml. s

so now the last step adding- 2000+500= 2500
 
so Dave made 2500 millimeters of punch

8 0
3 years ago
Math!!please help,its pretty easy.<br> 3*5-(1+10²)=
Ronch [10]

Answer:

-86

Step-by-step explanation:

3*5-(1+10^2)

15-(1+100)

15-101

-86

6 0
3 years ago
The area of a square is 625 cm^2. What is the measure of the diagonal to the nearest tenth?
anyanavicka [17]
Area = 625 cm^2


Area = s^2
Diagonal = s*sqrt(2)



625 = s^2
s = sqrt(625)
s = 25 cm.


Diagonal = s*sqrt(2)
= 25sqrt(2)
=35.36 cm.
=35.4 cm.
4 0
3 years ago
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