Answer:
First arrange the data in an order
3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21
a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7
Q2 = 2(16)/4 = 16/2 = 8th item = 12
Q3 = 3(16)/4 = 3(4) = 12th item = 17
IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5
b.) 82nd percentile = 82(16)/100 = 13th item = 17
c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%
Step-by-step explanation:
Answer:
6m+ 4
Step-by-step explanation:
2(2m-1) + 2(m+3)
4m - 2 + 2m + 6
6m + 4
Answer:
a) 10:13:3
b) 258 cm
Step-by-step explanation:
The ratio of elena's height to pavai's height is 10:13. The ratio of elena's height to kamir's height is 2:3. Their total height is 456 cm.
a) Find the ratio of elena's height to pavani's height to kamir's height in its simplest form.
10:13:3
b) What is pavani's height?
The ratio of elena's height to pavai's height is 10:13.
Their total height is 456 cm
Sum of proportions = 10 + 13 = 23
Hence:
13/23 × 456 cm
= 257.73913043 cm
Approximately = 258 cm
Answer:
(C)c=
f
Step-by-step explanation:
Clare uses
cups of flour to make 4 cakes.
It means she uses 1 cup of flour to make
cakes.
Let us simplify that expression first for future use.
Therefore, Clare uses 1 cup of flour to make
cakes.
If Noah follows the same recipe,
He uses f cups of flour to make c cakes
Using Ratio Method
→ Name : Cup : Cake
→ Clare : 1 :
→ Noah : f : c
By using cross multiplication
c X 1 =
f
c=
f
The equation c=
f represents the relationship between c and f
Answer:


Step-by-step explanation:
<u>Scientific notation</u>
where:
is any positive or negative <u>whole number</u>.
To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.
The number of times you have moved the decimal point is
.
- If the decimal point has moved to the <u>left</u>,
is positive. - If the decimal point has moved to the <u>right</u>,
is negative.
To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.

To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.

Learn more about scientific notation here:
brainly.com/question/28235385