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olchik [2.2K]
3 years ago
9

A 16- ounce bottle of shampoo costs 4.69 what is the price per ounce rounded to the nearest cent

Mathematics
2 answers:
tester [92]3 years ago
7 0

Answer:

0.29

Step-by-step explanation:

divide 4.69 by 16

this answer should give you 0.29

katovenus [111]3 years ago
3 0

Answer:

3.411

Step-by-step explanation:

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The probability density function of the time you arrive at a terminal (in minutes after 8:00 A.M.) is f(x) = 0.1 exp(−0.1x) for
Blababa [14]

f_X(x)=\begin{cases}0.1e^{-0.1x}&\text{for }x>0\\0&\text{otherwise}\end{cases}

a. 9:00 AM is the 60 minute mark:

f_X(60)=0.1e^{-0.1\cdot60}\approx0.000248

b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is

\displaystyle\int_{15}^{30}f_X(x)\,\mathrm dx\approx0.173

c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is

\displaystyle\int_0^{40}f_X(x)\,\mathrm dx\approx0.982

The probability of doing so for at least 2 of 5 days is

\displaystyle\sum_{n=2}^5\binom5n(0.982)^n(1-0.982)^{5-n}\approx1

i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.

d. Integrate the PDF to obtain the CDF:

F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x

Then the desired probability is

F_X(30)-F_X(15)\approx0.950-0.777=0.173

7 0
3 years ago
Jovana is inviting 9 friends to a party each friend wants 7 cookies and each box has 12 cookies how many boxes should Jovana get
gulaghasi [49]

Answer:

3boxes

Step-by-step explanation:

1st we should know the number of cookies

7*5=35

Divide the total of cookies to cookies per box 35/12=2 11/12

2 boxes and 11 cookies remaning (they need an extra box)= 3 boxes

8 0
3 years ago
Find the value of x in x+y=8 and x-y=6
Diano4ka-milaya [45]

Answer: x=-y+8 and x=y+6

Step-by-step explanation:

7 0
3 years ago
What is the code? Thank you! Whoever answers this, I will give brainliest!
shepuryov [24]

Answer:

5821

Step-by-step explanation:

For the first symbol, the number is 5.

In the first problem, the digit corresponding to that symbol is 5.

In the second one, it should be 5. The area of a triangle is base * height / 2. The base is 15 and the height is 9. Therefore, the area will be 15 * 9 / 2 = 67.5 square units. Now, the number corresponding to that symbol is 5.

In the fourth problem, the number corresponding to the symbol is also 5.

For the second symbol, the number is 8.

In the 5th problem, the number corresponding to that symbol is 8.

In the 7th problem, the number corresponding to the symbol is 8.

In the last problem, 96 is the correct answer, and everything is in the right place. I assume this must be the mistake of the maker of the problem.

For the third symbol, the number is 2

In the 1st and 3rd problems, the number corresponding to that symbol is 2

Finally, for the last symbol, the number is 1

In the 4th problem, there is a trapezoid. The formula for the area of a trapezoid is base 1 * base 2 / 2 * height. base 1 = 29, base 2 = 13. 13 + 29 = 42. 42 / 2 = 21. 21 * 15 = 315. Now, the 2nd digit, the one corresponding to the symbol, is 1.

In the last problem, you need to find the surface area of a figure. I would do this by splitting it up. The area for a triangle is base * height / 2. That means, the area of the triangle would be 8 * 7 / 2 = 28. There are four identical triangles, so you multiply this by 4 and get 112. Next, you find the area of the square which is 7 * 7. 7 * 7 = 49. Now, you add them together. 112 + 49 = 161. Now, the first and last digits corresponding to the symbol are both 1.

The answer is 5821.

4 0
3 years ago
Stacy went to Staples to purchase ink cartridges for her printer. The cartridges were 17.50 . What was the final cost of the car
shutvik [7]

To get the total cost, add the tax rate to 1, then multiply that by the price of the cartridge:

Total: 17.50 x 1.0925 = $19.12

6 0
3 years ago
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