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Mariulka [41]
3 years ago
7

Each morning Paul has a mug of coffee with cream (the mug will hold 16oz) the amount of coffee is random between 12 and 15 oz. a

nd the amount of cream is random between 1 and 2 oz. write the functions that will generate the distribution of combined coffee and cream the distribution. Write the functions that determine the probability that the mug will overflow. Calculate the probability.
Mathematics
1 answer:
Romashka [77]3 years ago
5 0
>>.......................
You might be interested in
PLEASE HELP!!!!!!!!!!!!!!!!!<br><br> Solve.<br><br> −1/2x + 1/3 &gt; 3/5
Shtirlitz [24]
To solve this inequality, you must first isolate the term that includes the variable, which is -1/2x. This can be done by first subtracting 1/3 from both sides.

Before you can subtract 1/3 from 3/5, however, you must first convert the fractions to have common denominators.
A common denominator for 1/3 and 3/5 is 15. This is the LCM, least common multiple, of 3 and 5, making it the lowest possible common denominator.
Using this common denominator, 1/3 changes to 5/15 and 3/5 changes to 9/15.

Now we can subtract these equivalent fraction for 1/3, which is 5/15, from the fraction equivalent to 3/5, which is 9/15.
9/15 - 5/15 = 4/15
This fraction can't be simplified any further so this step is done.

Now the inequality is -1/2x > 4/15.
The next step is to isolate x by dividing both sides by -1/2.
An important note to remember when doing this step is that whenever dividing by a negative in inequalities, you must flip the inequality symbol.
In this case, that means dividing both sides by -1/2 and changing the greater than sign (>) to a less than sign (<).

-1/2x ÷ -1/2 = x

4/15 ÷ -1/2
When dividing fractions, find the reciprocal of the second fraction then multiply.
The reciprocal of -1/2 is -2/1, or -2 when simplified.
4/15 • -2 = -8/15

This means x < -8/15.
This has x isolated and the inequality simplified as far as possible.
That means this is the answer.

Answer:
x < -8/15

Hope this helps!
5 0
3 years ago
The price of Stock A at 9 A.M. was ​$12.79 Since​ then, the price has been increasing at the rate of ​$0.11 each hour. At noon t
gayaneshka [121]

Answer:

2.174 hours

Step-by-step explanation:

Let the number of hours be represented as:

x

The price of Stock A at 9 A.M. was ​$12.79 Since​ then, the price has been increasing at the rate of ​$0.11 each hour.

$12.79 + $0.11 × x

12.79 + 0.11x

At noon the price of Stock B was ​$13.29 It begins to decrease at the rate of ​$0.12 each hour.

$13.29 - $0.12× x

13.29 - 0.12x

Equating both equations together

Stock A = Stock B

12.79 + 0.11x = 13.29 - 0.12x

Collecting like terms

0.11x + 0.12x = 13.29 - 12.79

0.23x = 0.5

x = 0.5/0.23

x = 2.1739130435 hours

x = Approximately = 2.174 hours

If the two rates​ continue, the number of hours that the prices of the two stocks will be the​ same is 2.174 hours

5 0
3 years ago
The black graph is the graph of y=f(x). Choose the equation for the red graph.<br> Please help me!!!
dusya [7]

Answer:

B

Step-by-step explanation:

The red graph is a horizontal translation of 5 units left followed by a reflection in the x- axis.

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

The black graph is shifted 5 units left, thus

f(x) → f(x + 5)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Note that the y- coordinate of the image is the negative of the original

Note also that \frac{y}{-1} = - y, thus

\frac{y}{-1} = f(x + 5) → B

5 0
3 years ago
Read 2 more answers
Each car on the lot at a car dealership has 4 tires and 2 headlights. Which pair correctly describes tires and headlights?
ira [324]

Answer: 4 : 2

Step-by-step explanation:

I am going to assume you want a ratio between number of tires to headlights which is

4 : 2

4 0
1 year ago
Read 2 more answers
5/9 power -2 * 3/5 power -3 * 3/5 power 0
zavuch27 [327]

Answer:

15

Step-by-step explanation:

5/9^-2 = 81/25

3/5^-3 = 125/27

3/5^0 = 1

81/25 x 512/27 x 1 = 15

3 0
1 year ago
Read 2 more answers
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