The confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41 where the lower limit is 97.59 and the upper limit is 102.41
<h3>How to determine the confidence interval?</h3>
We have:
Mean = 100
Sample size = 80
Standard deviation = 11
At 95% confidence interval, the critical z value is:
z = 1.96
The confidence interval is then calculated as:
So, we have:
Evaluate the product
Divide
Split
CI = (100 - 2.41,100 + 2.41)
Evaluate
CI = (97.59,102.41)
Hence, the confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41
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Cameron's current service charge of $0.95 per song, and the new service charge of $0.89 per song and $12 fee for joining, gives;
- Formula for finding the number of songs that makes the cost of both services the same is; 0.95•s = 12 + 0.89•s
- Computing the value of <em>s </em>that satisfies the above equation gives the number of songs at which the cost of both service is the same as 200 songs
- The interpretation is the the cost of either service is the same when 200 songs are downloaded
<h3>How can the equation that gives the required number of songs be found?</h3>
To Formulate
The charges for songs on the current music service is, C1 = 0.95•s
The charges for the new download service is, C2 = 12 + 0.89•s
Where the $12 is the joining fee
When the cost is the same for both service, we have;
C1 = C2
Which gives;
The equation to represent when the cost for both service is the same is therefore;
0.95•s = 12 + 0.89•s
Computing;
The number of songs that gives the same costs is therefore;
0.95•s = 12 + 0.89•s
12 = 0.95•s - 0.89•s = 0.06•s
s = 12 ÷ 0.06 = 200
- The number of songs at which the cost of each option will be the same is <em>s </em>= 200 songs
Interpreting the solution;
The interpretation is, the cost of songs downloaded on both service will be the same, when 200 songs are downloaded.
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Answer:
Is this two different lines or is that what goes first?
Step-by-step explanation:
Answer:
10c + 1200 ≥ 3000, c≥ 180
Step-by-step explanation:
We know that they need at least $3000; meaning, it may be $3000 or more. This leaves us with eliminating the bottom two choices.
We then look at the first two choices. If we were to subtract from 1200, we would not know the total income amount that has been gained. It would also eventually give us negative numbers. We cannot have a negative amount earned. Instead, we would use the 10c+1200 because this would allow us to visualize that it needs to be greater than or equal to 3000
We have been given that an artist cuts the bottom 4 inches from an empty sphere with a radius of 12 inches to make a bowl. We are asked to find the length of the rim of the bowl.
The rim of the bowl will be equal to the perimeter of circle with radius of 12 inches.
, where r represents radius of circle.
Therefore, the rim of the bowl is approximately 75.4 inches.
