Answer:
Yes they are congruent
they are congruent by SSS rule that is Side Side Side rule
AD = CD (given side) in the question itself
AB = CB (given side) in the question itself
Db = BD (common side)
thats why by SSS rule they are congruent
Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions, the mean is 
and the standard deviation is 
In this problem, we have that:
.
So
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Answer:
(2)
Step-by-step explanation:
Answer:
x = 3
y = 5
Step-by-step explanation:
Using theorem of similar triangles, we have,
(6 + x)/6 = (7 + 3.5)/7
(6 + x)/6 = 10.5/7
Cross multiply
7(6 + x) = 10.5(6)
42 + 7x = 63
7x = 63 - 42
7x = 21
x = 21/7
x = 3
Thus:
7.5/y = (7 + 3.5)/7
7.5/y = 10.5/7
Cross multiply
7.5*7 = 10.5*y
52.5 = 10.5*y
Divide both sides by 10.5
52.5/10.5 = y
y = 5
Independent, x-coordinate, input, domain.
Dependent, y-coordinate, output, range.
Domain: {0.5, 1, 4, 6, 8}
Range: {1, 1.5, 10, 12, 18}
