Answer:
16.3°
Step-by-step explanation:
Cos x = adjacent side/hypotenuse
= 24/25
x = arccos (24/25) = 16.3°
You must memorize the definitions of the trig functions and then this type of problem is easy. OK?
Answer:
x=1
Step-by-step explanation:
1+093.5 =94.5
Y = mx + b
slope (m) = 2
y-intercept (b) = 1
The numbers of rooms for 15 homes recently sold were: 8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9. what is the sample standard d
Artyom0805 [142]
From the data set given:
<span>8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9
to get the standard deviation we use the formula for variance given by:
</span>σ²=[Σ(x-μ)²]/(n-1)
σ² is the variance
μ is the mean
The mean of the data will be:
μ=(8+8+8+5+9+8+7+6+6+7+7+7+7+9+9)/15=7.4
The variance will be found as follows:
σ²=[(8-7.4)²×4+(5-7.4)²+3×(9-7.4)²+5×(7-7.4)²+2×(6-7.4)²]/(15-1)
σ²=1.4
thus
σ=√1.4=1.1183
Answer:
a. The mean is 4.5 and the standard deviation is 0.3818.
b. 4.5
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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.
Mean of 4.5 and a standard deviation of 2.291.
This means that 
a. Find the mean and the standard deviation of the resulting distribution of sample means for n=36.
By the Central Limit Theorem, the mean is 4.5 and the standard deviation is 
The mean is 4.5 and the standard deviation is 0.3818.
b. The mean of the resulting distribution of the sample means is:________
By the Central Limit Theorem, 4.5.
