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.
Answer:
6/7
Step-by-step explanation:
If you want the slope of the line on a graph when x is the independent variable, then solve for y:
-28y = -24x +14 . . . . . . . . . . . subtract the x-term
y = (-24/-28)x +14/(-28) . . . . . divide by the y-coefficient
y = 6/7x -1/2
The "rate of change" is the coefficient of x, 6/7.
I can't really explain it
see the picture
Answer:
Third option is correct: 1 / (t+4)^2
Step-by-step explanation:
This equation can be written as the following:
(t+3)/(t+4)*(1/t^2+7t+12)
We know this because of the division of fractions. For example:
(1/y)/(1/x) = (1/y)*(x/1)
Now that we know this, we can advance.
Now we have to try to factor (t^2+7t+12)
We can make this into (t+3)(t+4)
Ah! Perfect! There is a t+3 in the denominator of the first fraction!
We can now cancel these out.
Now our equation looks like this:
(1 / t+4) * (1 / t+4)
This can also be written as 1^2 / (t+4)^2 = 1 / (t+4) ^2
So the correct option is the third one.