(a)
Q1, the first quartile, 25th percentile, is greater than or equal to 1/4 of the points. It's in the first bar so we can estimate Q1=5. In reality the bar includes values from 0 to 9 or 10 (not clear which) and has around 37% of the points so we might estimate Q1 a bit higher as it's 2/3 of the points, say Q1=7.
The median is bigger than half the points. First bar is 37%, next is 22%, so its about halfway in the second bar, median=15
Third bar is 11%, so 70% so far. Four bar is 5%, so we're at the right end of the fourth bar for Q3, the third quartile, 75th percentile, say Q3=40
b
When the data is heavily skewed left like it is here, the median tends to be lower than the mean. The 5% of the data from 80 to 120 averages around 100 so adds 5 to the mean, and 8% of the data from the 60 to 80 adds another 5.6, 15% of the data from 40 to 60 adds about 7.5, plus the rest, so the mean is gonna be way bigger than the median of around 15.
Volume = Length x Width x Height
V= 7.5 ft x 4.2 ft x w fr
The width is 2 as listed.
V= 7.5ft x 4.2ft x 2ft
V=63
Answer:
Let the polynomial be f(x) = 5x – 4x^2 + 3
Now, for x = 2,
f(2) = 5(2) – 4(2)^2 + 3
=> f(2) = 10 – 16 + 3 = –3
Or, the value of the polynomial 5x – 4x^2 + 3 at x = 2 is -3.
Similarly, for x = –1,
f(–1) = 5(–1) – 4(–1^)2 + 3
=> f(–1) = –5 –4 + 3 = -6
The value of the polynomial 5x – 4x2 + 3 at x = -1 is -6.
Answered by GAUTHMATH
Step-by-step explanation:
51×14+256+537
714+256+537
1507
22% of those surveyed liked neither pop nor rap music.
Step-by-step explanation:
It is given that,
The 11th grade class at Red Hook high school was surveyed about the types of music they liked.
- Pop music ⇒ 64%
- Rap music ⇒ 52%
- Both pop and rap music ⇒ 38%
We know that, the total survey is 100%.
<u>To find the percent of those surveyed liked neither of the music :</u>
Let x be the percentage of those liked neither pop or rap music.
The formula used here is ,
Total = Pop + rap - Both + neither.
⇒ 100% = 64% + 52% - 38% + x
⇒ 100% = 78% + x
⇒ 100% - 78% = x
⇒ x = 22%
Therefore, 22% of those surveyed liked neither pop nor rap music.
