Find a common denominator. Typically, the greater the denominator, the smaller the piece.
g is and j are 29 spaces apart while a and b are 8.5 spaces apart
Answer:
P(144.5≤X≤155.5)= 0.4176
Step-by-step explanation:
Hello!
Your study variable is:
X: Tensile strength of artificial silk fibers. (MJ/m³)
X~N(μ;σ²)
μ= 150 MJ/m³
σ= 10 MJ/m³
Since the only tabulated normal distribution is the standard normal, to obtain the probability that the tensile strength will be between 144.5 and 155.5 MJ/m³ you need to transform the study variable in terms of the standard normal distribution.
To do this transformation, known as standardization, you have to subtract the variable its mean and divide it by its standard deviation.
The first step is to present the probability symbolically:
P(144.5≤X≤155.5)= P(X≤155.5) - P(X≤144.5)
Now you standardize each term using the standard normal Z=(X-μ)/δ
P(Z≤(155.5-150)/10) - P(X≤(144.5-150)/10)
P(Z≤0.55) - P(Z≤-0.55)
The next step is to look for the values in the table to reach the cumulative probability for each of them.
The standard normal table has two sides, the left one shows the accumulated probabilities for negatives values of Z and the right one shows values of accumulated probabilities for positive values of Z. The first column shows the values of the integer plus first decimal of the Z value, the first row shows the second decimal of the Z value, by crossing them both you reach the probability value. (see attachment)
P(Z≤0.55) - P(Z≤-0.55)= 0.7088 - 0.2912= 0.4176
I hope it helps!
<span>Each quantity in a product is called a factor of the product.
Hope this helps :)
</span>
Answer: the answer is 3.6 mph
Step-by-step explanation: to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by 3.25