Answer:
{
}
The number line is attached.
Step-by-step explanation:
By definition Set-builder notation is a mathematical shorthand used to provide specific details about a set.
In this case, you have the following interval:
![(-6,2]](https://tex.z-dn.net/?f=%28-6%2C2%5D)
You can obsseve that the left hand contains a parentheses, which means that -6 it is not included, then:
![-6](https://tex.z-dn.net/?f=-6%3C)
The right hand contains a bracket, which means that 2 is included:
![\leq 2](https://tex.z-dn.net/?f=%5Cleq%202)
The inequality is:
![-6](https://tex.z-dn.net/?f=-6%3Cx%5Cleq%202)
Therefore, in Set-builder notation this is:
{
}
Observe the number line attached. Since -6 is not included, you must use an unfilled circle. Since 2 is included, you must use a filled circle.
Answer:
4544
Step-by-step explanation:
1136 *4 = 4544
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
40% of 210 is 525, and 1/4 of 210 is 52.5, so the answer is 40% of 210 > 1/4 of 210.
Answer:
center = 98.6, variability = 0.08
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 ![s = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
The center is the mean.
So ![\mu = 98.6](https://tex.z-dn.net/?f=%5Cmu%20%3D%2098.6)
The standard deviation of the sample of 50 adults is the variability, so
![s = \frac{0.6}{\sqrt{50}} = 0.08](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B0.6%7D%7B%5Csqrt%7B50%7D%7D%20%3D%200.08)
So the correct answer is:
center = 98.6, variability = 0.08