Answer:
As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation 
So the correct answer is:
As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the arc length, which is:
arc length=(angle)(radius)
2- As you can see, <span>the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:
</span>
The angle is:
1 1/2 radians=1.5 radians
3. When you susbtitute these values into the formula, you obtain:
arc length=(1.5 radians)(5 yards)
arc lenght=7.5 yards
4. Therefore, the answer is: 7.5 yards.
Answer:
True
Step-by-step explanation:
Use the rule of fractional exponent: The denominator becomes the root index and the numerator becomes the power.
If those are exponents, then...
3x^3 + 11x^2 + 4x + 1
----------------------------- Cancel out the 11x^2 with the x^2
x^2 + x
3x^3 + 10x^2 + 4x +1
----------------------------- Cancel out the x with the 4x
x
3x^3 + 10x^2 + 3x +1