Answer:
#4) 1
Step-by-step explanation:
To find the average, add all of the temperatures together, then divide it by the number of temperatures added.
It'll look like this: (-10+2+8+4)/4
Answer:
See answer below
Step-by-step explanation:
There is NO elementary function that gives the antiderivative of e^(-x^2)
This expression in fact is called the Gaussian integral, since it gives the Gaussian bell curve.
Its integration is done by numerical methods, it is widely used in Statistics, and there are tables to calculate definite integrals associated with probability distributions.
Answer:
Q ' (3,4)
Step-by-step explanation:
When we reflect across the x axis, the y coordinate becomes -y
Q (3,-4) becomes Q' (3,- -4)
Q ' (3,4)
Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a <em>normal distribution</em> with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 3 inches, hence
.
- The standard deviation is of 0.009 inches, hence
.
Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:



The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at brainly.com/question/24663213
many more miles of road are left to build .
<u>Step-by-step explanation:</u>
Here we have , A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road. We need to find that How many more miles of road are left to build . Let's find out:
- On Monday, they build 1/2 mile of road.
- On Tuesday, they build 1/3 mile of road.
Let Miles of road left to build is x So,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore,
many more miles of road are left to build .