<h3>
Answer: -7</h3>
Explanation:
Pick any term. Subtract off the previous one to find the common difference.
- term2 - term1 = 6-13 = -7
- term3 - term2 = -1-6 = -7
- term4 - term3 = -8-(-1) = -8+1 = -7
And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.
We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.
The area to the right of z = 1.35 is 0.0885 and the area to the left of -0.47 is 0.3192.
<h3>How to compute the values?.</h3>
Given z = 1.35
= 1- P(z < 1.35)
= 1- 0.9115
= 0.0885
The area to the left of -0.47 will be:
= 1 - P(z < 0.47)
= 1 - 0.6808
= 0.3192
Learn more about normal curve on:
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First distribute the 2 through the parenthses on the right side.
So we have y - 4 = 2x + 8.
In slope-intercept form, the y is by itself on the left side.
So we add 4 to isolate the y on the left to get y = 2x + 12.
So in slope-intercept form, our equation is y = 2x + 12.
Answer:
The total nuber of hours that the battery can be used over its lifetime is 600.
Step-by-step explanation:
We use an infinite geometric series to solve this question.
The sum of all values of an infinite geometric series is given by the following equation:
In which 
is the first term and r is the common ratio.
After each charging, a battery is able to hold only 97% of the charge from the previous charging.
This means that 
The battery was used for 18 hours on its first charge before it had to be recharged.
This means that 
What is the total number of hours the battery can be used over its lifetime?
The total nuber of hours that the battery can be used over its lifetime is 600.
The expected diameter is 70 cm.
It is acceptable for the diameter to be within 0.02 cm of the expected value.
Therefore the acceptable values for the diameter, d, are
The minimum acceptable value of d is obtained from
d + 0.02 = 70
d = 69.98 cm
The maximum acceptable value of d is obtained from
d - 0.02 = 70
d = 70.02 cm
Answer:
Minimum acceptable diameter = 69.98 cm
Maximum acceptable diameter = 70.02 cm
