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r-ruslan [8.4K]
3 years ago
11

What is the theoretical probability that the spinner lands on red?

Mathematics
2 answers:
eimsori [14]3 years ago
8 0

Answer:

1/5

Step-by-step explanation: You add 4+10+6 to get 20. So the probability that the spinner lands on red would be 4/20. If you need it simplified  you take 4 and divide it by 4 to get 1, then you would divide 20 by 4 to get 5. that would leave you with 1/5.

Archy [21]3 years ago
6 0
Green 6 Can you answer this question for me please 1. What can you see in the picture? 2. What do you think the artist is trying to tell us in the painting? 3. Describe the character of the artist in three words.
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an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area
Anit [1.1K]
Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²-------->  equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0
3 years ago
A, B &amp; C lie on a straight line.
vekshin1

Answer:

x = 27°

Step-by-step explanation:

m<D

m<CBE = 63° (Given)

m<CBE = m<ABD (vertical angles)

m<ABD = 63° (substitution)

x = 180 - (m<ABD + m<D) (Sum of triangle)

x = 180 - (90 + 63)

x = 27°

3 0
3 years ago
Form the intersection for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∩ F =
madam [21]
The intersection of two sets is a set that contains elements that are common to both sets.
There are no common elements in sets E and F, so the answer is the empty set.

<span>E ∩ F =  { }</span>
3 0
3 years ago
A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.21, the probabil
WITCHER [35]

Answer:

2.65 dollars

Step-by-step explanation:

The expected value for a discrete variable is calculated as:

E(x)=x1P(x1) + x2P(x2) + ... + xnP(xn)

Where x1, x2, ... , xn are the possibles values of the variable and P(x1), P(x2), ... , P(xn) are the probabilities of x1, x2, ... , xn respectively.

In this case, the roll can comes up 1, 2, 3 or 4 and you can win 1, 2, 3 or 4 dollars respectively. So, taking into account that they are mutually exclusive events, the probability that the player win 1, 2, 3 or 4 dollars is:

P(1) = 0.21

P(2) = P(1∪2) - P(1) = 0.42 - 0.21 = 0.21

P(3) = P(2∪3) - P(2) = 0.51 - 0.21 = 0.3

P(4) = 1 - P(1) - P(2) - P(3) = 1 - 0.21 - 0.21 - 0.3 = 0.28

Therefore, If you win the amount that appears on the die the expected winning are:

E(x) = $1P(1) + $2P(2) + $3P(3) + $4P(4)

E(x) = $1(0.21) + $2(0.21) + $3(0.3) + $4(0.28)

E(x) = $2.65

4 0
3 years ago
What’s equivalent to 2(3 - x) - 12 + 4x
anygoal [31]

Answer:

2(3-x)-12+4x

6-x-12+4x

6-x-8x

6+8x =

14x

Step-by-step explanation:

3 0
3 years ago
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