Mean | MAD
---------------------------
Hummus 24.3 | 3.1
Baba ghanoush 11.5 | 2.9
Which statement best describes the overlap in the distribution of the two data sets?
A.
The overlap is high because both means are greater than either MAD.
B.
The overlap is high because the sum of the means is large compared to the MAD.
C.
The overlap is low because the difference in the MADs is small.
D.
The overlap is low because the difference in the means is large compared to either MAD.
Part B) Is it possible for you to have driven 160 miles?
Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!
Thank you!
In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.
Part A:
Let t represent the number of hours you drive and d represent the distance you drive.
The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.
The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.
Part B:
No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:
d ≤ 55t
d ≤ 55(3)
d ≤ 165
Since 160 is greater than 165, it is not within the range of possible distances you can drive.
#SPJ11
The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.
Part A:
To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.
The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.
Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.
Combining these two inequalities, we have: t ≤ 3 and d = t × 55.
Part B:
To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.
Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.
#SPJ3
This transformation is called
Reflection simply means an object has been reflected.
Here, the triangle has been reflected.
Answer:
Reflection
Step-by-step explanation:
It is a reflection because it is like they are looking in the mirror.
the value of a +b?
Answer:
√29
Step-by-step explanation:
We are here given that ,
Now square the first equation ,
⇒ a - b = 3
⇒ ( a - b)² = 3²
⇒ a² + b² - 2ab = 9
⇒ a² + b² - 2(5) = 9
⇒ a² + b² -10 = 9
⇒ a² + b² = 9 + 10
⇒ a² + b² = 19
⇒ a² + b² + 2ab = 19 + 2(5)
⇒ (a + b)² = 19 + 10
⇒ ( a + b)² = 29
⇒a+b=√29.