We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
Where (from tables):
Finally, the interval at 98% confidence level is:
Answer:
b=5
Step-by-step explanation:
C(1,3) and point D(4,-3)
Since we want the equation in slope intercept form we must first calculate the slope (m):
By point slope formula and using point C (1,3) we have:
So the slope is -2 and the y -intercept (b) is 5.
The answer to the above math expression is . See the computation below.
<h3>What is the calculation justifying the above?</h3>First we solve for the numerator. The numerator is:
7√2 - 2√16
Where:
7√2 = 9.89949493661; and
2√16 = 8
Hence,
7√2 - 2√16 = 1.89949493661
Next we solve for the denominator. This is given as:
3√8=8.48528137424
Hence,
(7√2 - 2√16)/3√8 = 1.89949493661/8.48528137424
= 0.22385762508
0.224
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Answer:
5:1 cm
Step-by-step explanation:
Let's look at the ratio in fraction form, since ratios are easier to think about in this mathematical way:
Now we have a fraction which is easier to work with. We can look for a common factor of 25 and 5 and then factor it out to find the lowest terms of our ratio and the simplified version of the fraction. One common factor of 25 and 5 that I can think of is 5 itself. So, let's divide both sides by 5.
÷
=
Does that make sense? 25 divided by 5 is 5, and 5 divided by 5 is 1. So the simplified version of the fraction is , and the lowest terms of the ratio 25:5 cm is 5:1 cm.
Hopefully that makes sense! If you need more help or any of that was confusing or difficult to understand, let me know. :)