Answer:
Step-by-step explanation:
Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.
Mean of the sample is,
Standard deviation of the sample is,
The confidence interval will be,
Here,
Z for 95% confidence interval is 1.96, and n is sample size which is 24.
Putting the values,
Confidence interval is used to express the degree of uncertainty associated with a sample.
95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.
<span>y = tan^−1(x2/4)</span>
tan(y) = x2/4
sec2(y) = x/2
y′ = xcos^2(y)/2
<span>cos^2(y) = <span>16x2+16</span></span>
<span>y′ = <span>8x/(<span>x2+16)
let u be x2+16
du is 2x dx
dy = 4 du / u
y = 4 ln (</span></span></span>x2 <span>+ 16)
y at x =0 = </span> 4 ln (<span>16) = 11.09</span>
1. parallel lines have same slope
Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:
Where
therefore:
Answer:
87.8
Step-by-step explanation:
87 + 80 + 96 + 94 + 88 = 439
439 ÷ 5 = 87.8