Answer:
Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .
Step-by-step explanation:
We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.
Also, a sample of four metal sheets is randomly selected from a batch.
Let X bar = Average length of a sheet
The z score probability distribution for average length is given by;
Z = 
~ N(0,1)
where, 
= population mean = 30.05 inches
= standard deviation = 0.2 inches
n = sample of sheets = 4
So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)
P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)
P(X bar < 30.35) = P( < 
) = P(Z < 3) = 0.99865
P(X bar <= 30.25) = P( <= 
) = P(Z <= 2) = 0.97725
Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725
= 0.0214
Answer:
h < -3
Step-by-step explanation:
2 < -19 -7h
or 19 + 2 < -7h
or 21 < -7h
or 21/(-7) > h [flip the sign when dividing with negative Number ]
∴ -3 > h ( h < -3 )
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Answer:
The extra amount to be paid = $ 309.15
Step-by-step explanation:
Credit card bill = $ 7250 .
Interest rate = 16 % .
<h3>
AMOUNT TO BE PAID IN 1 YEAR</h3>
Monthly payment = $ 657.80
Total amount to be paid in a year = $ 657.80 × 12 = $ 7893.6
Interest amount in 1 year = $ 7893.6 - $ 7250 = $ 643.6.
<h3>AMOUNT TO BE PAID IN 18 MONTHS </h3>
Monthly payment = $ 455.71.
Total amount to be paid in a 18 months = $ 455.71 × 18 = $ 8202.78
Interest amount to be paid in 18 months = $ 952.78 .
The extra amount to be paid = $ 8202.78 - $ 7893.6 = $ 309.15
Answer:
-338
Step-by-step explanation:
So we have the sequence:
5, -2, -9, -16...
First, note that this is an arithmetic sequence.
This is because each individual term is the previous term <em>added</em> by a common difference.
We can see that this common difference is -7, because each subsequent term is 7 <em>less</em> than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.
So, to find the 50th term, we can write an explicit formula for our sequence.
The standard form for the explicit formula for an arithmetic sequence is:
Where a is the initial term, d is the common difference, and n is the nth term.
We can see that our initial term a is 5. And we also already determined that the common difference d is -7. So, substitute:
Now, to find the 50th term, all we have to do is to substitute 50 for n. So:
Subtract within the parentheses:
Multiply:
Subtract:
So, the 50th term is -338.
And we're done!
Answer:
Y=Mx+b
Step-by-step explanation:
Boom boom
