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Olegator [25]
3 years ago
9

Problem 1:

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

A = 2

D = 1

B = 4

C = 3

Step-by-step explanation:

Height of water in bathtub is a function of water in bathtub.

P(t) = w ; t = time ; w = height of water.

A: P (0)=0 ; At time, t = 0 ; height of water = 0, there is no water on bathtub

2: The bathtub starts out with no water.

D: P (20) = 0 ; At time, t = 20 ; w = 0 ;the tub is empty.

1: After 20 minutes, the bathtub is empty.

B:P (4)= 10 `; At t = 4, w = 10 ; height of water in bath tub is 10

4: The height of the water is 10 inches after 4 minutes

C:P (10) = 4 ; At t = 10, w =4, height of water in bathtub = 4 inches

3: After 10 minutes, the height of the water is 4 inches.

.

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30 points!
Thepotemich [5.8K]

Using the probability concept, we have that:

  • There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.
  • There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 35 people, out of which 17 are female and 5 are male that prefer mint chocolate chip, hence:

p = (17 + 5)/35 = 22/35 = 0.6286.

There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.

Out of the same 35 people, 11 people prefer cookie and cream and 2 people prefer vanilla, hence:

p = (11 + 2)/35 = 13/35 = 0.3714

There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

3 0
2 years ago
List the key features of the quadratic function y = –x2 + 4x – 3.
Triss [41]

Answer:

1/2

Step-by-step explanation:

=-x2+4X-3

3= -x2+4x

3/2=3x

3=3x×2

3/3=2x

x=1/2

7 0
3 years ago
How do I Graph 2y=-8
qwelly [4]
Answer: (0,-4)
You solve this with inverseoperations

3 0
3 years ago
Simplify it
Elena L [17]

Answer:

2. 33.25

Step-by-step explanation:

In order of operations you start with the part of the equation that is in parentheses.  So here you would start with 8.7+4.6. Now whenever there is a number just sitting outside the parentheses, you multiply it by the numbers inside of the parentheses.   So in this case, once you've added 8.7 and 4.6, you multiply your answer by 2.5 (which is outside of the parentheses.  Here is the solving process:

2.5<u>(8.7+4.6)</u>

<u>2.5(13.3)</u>

33.25

7 0
3 years ago
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Elan Coil [88]

Answer:

2

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

e^{ln(2)}

The answer to this would be 2 because these inverse functions "'cancel" out

So

e^{ln2} = 2

8 0
4 years ago
Read 2 more answers
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