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atroni [7]
3 years ago
12

Ruby is buying chocolates for her friends. The candy store charges $13.80 for a box of chocolates, and each additional piece of

chocolate costs $0.23. Ruby has $21 to spend. She buys x additional pieces along with a box of chocolates.
Which inequality correctly represents the given situation?

A.0.23x + 21 ≤ 13.8
B.13.8 + 21 ≤ 0.23x
C.13.8 + 0.23x ≤ 21
D.13.8 + 0.23x ≥ 21
Mathematics
2 answers:
choli [55]3 years ago
5 0

Answer:

C.

Step-by-step explanation:

hope I helped!!

Let me know if you need an explanation:)

Reptile [31]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati
Ket [755]

Answer:

\sigma = 11.28 --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

\bar x = \frac{\sum fx}{\sum f}

So, we have:

\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}

\bar x = \frac{7531}{91}

\bar x = 82.76

Next, calculate the variance using the following formula:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}

\sigma^2 = \frac{11580.6816}{91}

\sigma^2 = 127.26

Lastly, take the square root of the variance to get the standard deviation

\sigma = \sqrt{\sigma^2}

\sigma = \sqrt{127.26}

\sigma = 11.28 --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0
2 years ago
WHO WANTS 20 POINTS!!!!!!!!!!!!!! What is the value of x? Enter your answer in the box. x = Rectangle with a hash mark on the to
adell [148]
X=6
6x5=30
30+10=40
Have a nice day!
5 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 34cm.Find the breadth of the rectangle if its length is 12cm.​
Novosadov [1.4K]
Answer :
breadth = 5 cm :)

8 0
3 years ago
Help!!
galben [10]

Answer:

I don't under stat it write the whole question

8 0
3 years ago
Please answer ASAP, thank you so much! :)
Natali [406]
18 cm and 24 cm because you need to multiply each length by the same number and in this case, 3 works. 6x3=18 and 8x3=24
4 0
3 years ago
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