Answer:
1963.2 pounds (lbs.)
Step-by-step explanation:
Things to understand before solving:
- - <u>Normal Probability Distribution</u>
- The z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by:
The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.
- - <u>Central Limit Theorem</u>
- The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц and standard deviation
As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.
This means, ц = 2000 and б = 100.
A random sample of 20 cables is chosen and tested.
This means that n = 20,
Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.
This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So
- By the Central Limit Theorem
<h3>Answer:</h3>
The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.
graph B ( the lower one )
for a function to be defined there can only be one value of y for each value of x
graph A has more than 1 value of y for given values of x
for example ( - 1, 4 ) and ( - 1, - 4 ) thus is not a function
graph B only has 1 value of y for a given value of x thus is a function
Answer:
The value of function at X=4 is f(4) = 6.
Step-by-step explanation:
Given that:
Function is f(x) = x²-3x+2
A function defines the relationship between an independent variable and a dependent variable.
We have to find the value of function f(4), therefore, we will put x=4 in the given function
f(4) = (4)²-3(4)+2
f(4) = 16-12+2
f(4) = 6
Hence,
The value of function at X=4 is f(4) = 6.
Answer:
7x²+6x-6
Step-by-step explanation:
1 Combine similar terms
x²+5x+6x²+x-6
7x²+5x+x-6
2 Combine similar terms
7x²+5x+x-6
7x²+6x-6