An angle measures 49° . What is the measure of its complement?
1 answer:
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Answer:
Step-by-step explanation:
The slope of a line is always rise over run.
To find the slope of this line, we are looking for two points that are on an integer x value and an integer y value.
One of these points is (-4, 1). Another one is (0, -2).
Studying the y-values of both (the rise), the change in y is , and since we are going down, the change is
.
Studying the x values of both (the run), we can see that the rate of change is .
So the rise over run will be , or just
. This is also the slope as slope is rise over run.
Hope this helped!
Answer:
The sample consisting of 64 data values would give a greater precision.
Step-by-step explanation:
The width of a (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:
So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).
That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.
Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.
The two sample sizes are:
<em>n</em>₁ = 25
<em>n</em>₂ = 64
The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.
- Width for <em>n</em> = 25:
- Width for <em>n</em> = 64:
Thus, the sample consisting of 64 data values would give a greater precision.