On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula o
1 answer:
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Step-by-step explanation:
Given that,
A quadratic equation,
2x(x + 1.5) = -1
We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as .
So,
Here, a = 2, b = 3 and c = 1
The roots of the given equation can be given by :
Putting all the values we get :
So, the roots of the given equation is -1/2 and -1.
Answer:
The standard deviation of the load distribution is of 5102.041 pounds.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
Also, the probability that the load is between 10,000 and 30,000 pounds is 0.95.
10,000 pounds and 30,000 pounds are equidistant from the mean. Due to this, and the probability of 0.95 of having a value in this range, 10000 is the (100-95)/2 = 2.5th percentile and 30000 is the (100+95)/2 = 97.5th percentile. Applying one of them, we find the standard deviation.
30,000 is the 97.5th percentile:
This means that when X = 30000, Z has a pvalue of 0.975. So when X = 30000, Z = 1.96. Then
The standard deviation of the load distribution is of 5102.041 pounds.
Answer:
<h2>x = 7</h2>Step-by-step explanation:
To find the value of the value of x when
y = 14 we must first find the relationship between them
The statement
The value of y varies directly with x is written as
where k is the constant of proportionality
when x = 218
y = 436
So we have
436 = 218k
Divide both sides by 218
k = 2
So the formula for the variation is
<h2>y = 2x</h2>when y = 14
We have
14 = 2x
Divide both sides by 2
<h3>x = 7</h3>Hope this helps you.