Answer:
d. Cannot be determined with the information provided.
Step-by-step explanation:
Z-score:
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Finding the better relative position:
The score with the better relative position is the one with a higher z-score.
To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.
Answer: 68
Explanation:
Let x be the age of Mr Jasmi
y be the age of Miss Haslinda
a + b + c be the age of the 3 children
We can write:
(x + y + a + b + c)/5 = 38
But:
(a + b + c)/3 = 18
a + b + c = 18(3)
a + b + c = 54
Substitute this value to our first equation
(x + y + 54)/5 = 38
x + y + 54 = 38(5)
x + y + 54 = 190
x + y = 190 - 54
x + y = 136
Thus:
Mean age of (mr jasmi and miss Linda) = (x+y)/2
But x + y = 136
=> mean age = 136/2 = 68
Answer:
4.9
Step-by-step explanation:
24.50 divided by 5 is 4.9
11 since you’d divide 861 by 25, but you’d still not get a whole number so you’d get that as a remainder. then you’d divide .44 by 25 and get 11, cause there was 25 marbles in each bag.
The answer is 12π.
To get the volume of the cone, we need the height. The radius is given.
V = πr² × (h/3)
The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height
24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5
Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4
Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
