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loris [4]
3 years ago
15

Vanessa has a piggy bank with 4 one-dollar bills and 3 five-dollar bills. She reaches in and randomly pulls out one of the one-d

ollar bills. Without putting it back, she takes out another bill.
Are these events dependent or independent?



A.
dependent


B.
independent
Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0
A. The second is dependent.
m_a_m_a [10]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The second event is dependent on the first.

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Natalie's meal at Fresh Catchery cost $26.02, not including tip. If Natalie wants to leave a 24% tip, how much should she pay? R
Kisachek [45]

Answer:

$32.26

Step-by-step explanation:

24 % = .24

plus meal cost = 100% = 1

1 + .24 = 1.24

1.24 * 26.02 = 32.26

3 0
2 years ago
The solution to 4+16=-5(4x-4)
lara31 [8.8K]

Answer:

x=0

Step-by-step explanation:

20=-5(4x-4)

-20/5 =4x-4

-4=4x-4

0=4x

0=x

hope this helped

5 0
3 years ago
Read 2 more answers
the school newspaper has a circulation of 500 and sells for $.035 a copy. the students decide to raise the price to increase the
Alik [6]

Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is

.35+.05x

Let y be the newspaper they sell, then the income will be

y(.35+.05x)

Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be

y=500-20x

Plugging the value of y in the first expression we have that the income will be

\begin{gathered} f(x)=(500-20x)(.35+\text{0}.5x)=175+25x-7x-x^2 \\ =-x^2+18x+175 \end{gathered}

Then the income is given by the function

f(x)=-x^2+18x+175

To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,

\begin{gathered} \frac{df}{dx}=\frac{d}{dx}(-x^2+18x+175) \\ =-2x+18 \end{gathered}

no we equate the derivative to zero and solve for x.

\begin{gathered} \frac{df}{dx}=0 \\ -2x+18=0 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}

This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then

\begin{gathered} \frac{d^2f}{dx^2}=\frac{d}{dx}(\frac{df}{dx}) \\ =\frac{d}{dx}(-2x+18) \\ =-2 \end{gathered}

Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.

With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.

Therefore the price to maximize the income is $0.35+$0.45=$0.80.

4 0
1 year ago
ASAP HELP MATH!!!!!!!! 1st PERSON GETS BRAINLIEST
Masja [62]

Answer:

ya YEET

Step-by-step explanation:

8 0
3 years ago
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An article valued $120 was increased by 12%. determine the new value
KIM [24]
The new value would be $134.40; 1.12 times 120
3 0
3 years ago
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