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Ede4ka [16]
3 years ago
6

In a certain Algebra 2 class of 24 students, 12 of them play basketball and 7 of them play baseball. There are 4 students who pl

ay both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Mathematics
1 answer:
UNO [17]3 years ago
5 0

Answer:

5/8

Step-by-step explanation:

So, if we add 7 + 12, then it seems that 19 of the 24 students play one of the two sports. But there are 4 students that play both, so we must account for that.

To get the actual number of students that play sports, we must subtract 4 from 19.

19 - 4 = 15

So now we know that 15 out of the 24 students play sports.

We can divide 15 and 24 by 3 to find the simplified fraction.

15 / 3 = 5       24 / 3 = 8

So 5 out of every 8 students plays one of these sports, which means that the probability of picking one of these students is 5/8!

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Can someone help me and please explain how you did it
nikitadnepr [17]

Answer:

Radius: 7

Diameter: 14

Area Formula: π r^2

Area Answer: 154 ft^2

Step-by-step explanation:

Radius: 14/2 = 7

The radius is always half the diameter.

Area Work

A = π(7)^2

A = π(49)

A = 153.9380 ft^2

3 0
2 years ago
What inequality describes the solutions of 2y less than or equal to 8?
Tanzania [10]

Answer:

y\leq 4

Step-by-step explanation:

Start with the given

2y\leq 8\\

Divide the two on both sides to get

y\leq 4

8 0
3 years ago
Read 2 more answers
3.2a - 16 = 4a<br> Solve
KengaRu [80]

Answer:

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Step-by-step explanation:

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3 years ago
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
If x + 4 = y, then x + 12 =
GrogVix [38]
If x+4=y, then x+12=3y because 4 (3)=12
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3 years ago
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