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MA_775_DIABLO [31]
3 years ago
9

18 of the last 30 cars passed you were black. what is the probability the next car will be black?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
18/30 simplifies into 6/10 which then is put in decimal form of 0.6
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Mauricio scored a total of 34.42 points in five gymnastic
Olegator [25]

Answer:

Mauricio's score for each event is 7.

Step-by-step explanation:

Mauricio scored a total of 34.42 points in five gymnastic  events.

We can round off his score as 35.

To find Mauricio's score for each event, divide total score and no of events as follows :

n=\dfrac{35}{5}\\\\=7

Hence, Mauricio's score for each event is 7.

3 0
3 years ago
A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
If f(x)=2x+3 and g(x)=x^2+1 find f(g(3))<br><br> Help!!<br> A.23<br> B.47<br> C.82<br> D.90
True [87]

Answer

A. 23

step-by-step explanation

g(x) =  {x}^{2} + 1

We put x=3 into the function g

\implies g(3)= {3}^{2} + 1

\implies \: g(3)=10

Also,

f(x)=2x +3

we substitute the value of g(3) into f

\implies f(g(3))=f(10)

\implies f(g(3))=f(10) = 2(10) + 3

\implies f(g(3))=23

8 0
3 years ago
What is the circumference of the given circle in terms of pi
Nezavi [6.7K]
The formula for finding the circumference is pi times the diameter so If your giving it in terms of pi then you're just finding the diameter which is 15
3 0
3 years ago
Read 2 more answers
Simplify completely 12 times x to the third power minus 4 times x to the 2nd power plus 8 times x all over negative 2 times x
lawyer [7]
(12x^3-4x^2+8x)/(-2x)  The greatest common factor of the numerator and denominator is -2x so upon division by GCF of both numerator and denominator you have:

-6x^2+2x-4  and we can now also factor out -2

-2(3x^2-x+2)
5 0
3 years ago
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