Answer:
AC=32 units.
Step by step explanation:
Given information: B, D, and F are midpoints if the sides of ΔACE, EC = 38 and DF = 16.
Consider the below figure attached with this question.
According to the midpoint theorem, if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
Using midpoint theorem, the length of AC is twice of DF.
Substitute the given values in the above equation.
Therefore, the length of AC is 32 units.
Answer: 
Step-by-step explanation:
The total number of cards =52
The number of kings in the cards = 4
If repetition is not allowed , then the total number of ways of choosing 3 cards will be :-
The number of ways of choosing 3 kings will be :-
Now, the probability of choosing 3 king cards will be :-
Hence, the probability of choosing 3 king cards =
Y = -3x + 5
5x - 4y = -3
5x - 4(-3x + 5) = -3
5x + 4(3x) - 4(5) = -3
5x + 12x - 20 = -3
17x - 20 = -3
+ 20 + 20
17x = 17
17 17
x = 1
y = -3x + 5
y = -3(1) + 5
y = -3 + 5
y = 2
(x, y) = (1, 2)
The best estimate of the population means is always the sample mean. We have the sample values, using them we can find the sample mean.
The sum of the sampled rates = 248
Sample Size = 10
Mean value of the sample = Sum of Sample Rate/Sample Size
So,
Mean of the sample = 248/10 = 24.8
Therefore, we can say that the best estimate for the population mean is 24.8
