Answer:
Step-by-step explanation:
information from the range
If the range is 26 and the largest number is 31 then the smallest number is 31 - 26 = 5
Information from the median
The median must consist of 2 numbers because we have 6 integers for the data and median must consist of the middle 2. Since we are told that the median is 15 and we need 2 integers the other integer must be 15 as well..
So what do we know so far.
5 15 15 31
Information from the mean
There are six integers making up the series of numbers. The mean is 16. Therefore all 6 integers added together must be 6 * 16 = 96
What do we have so for?
5 + 15 + 15 + 31 = 66
What do the other two numbers sum to?
96 -66 = 30
Getting the answer.
The first number to try must be 13. It has to be below 15 (the median and odd. That's 13).
So now we have
5 13 15 15 ___ 31
But from the mean we need 30
30 - 13 = 17
And we have a winner because 17 is above 15.
Answer
5 13 15 15 17 31
Answer:
4.78 pounds
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 9.2 pound
σ is the population standard deviation = 3.4 pounds
z = 1.3
We are to find x
Hence,
-1.3 = x - 9.2/3.4
Cross Multiply
-1.3 × 3.4 = x - 9.2
-4.42 = x - 9.2
x = -4.42 + 9.2
x = 4.78 pounds.
Therefore the weight of the cat is 4.78 pounds
Answer:
sin ∠D = 24/25
Step-by-step explanation:
sin = opposite / hypotenuse
Looking at ∠D, the opposite side is 24, hypotenuse is 25
Therefore sin = 24/25
Answer:
Apex: 119,436.80
Step-by-step explanation:
