Answer:
play fortnite
Step-by-step explanation:
play fortnite
#9 the sum of two angles is 90 degrees, creating a right angle.
#10 the sum of the two angles is 180 because the form a supplementary angle
20% of the students chose a cupcake = 20 / 100: Shade 20 squares.
20 / 100 = x / 55
100x = 1100
x = 11 students who chose a cupcake
Hope this helps!! :)
Answer:
The 95% confidence interval for the measurements is [48.106, 53.494].
Step-by-step explanation:
The average M of this sample is

The standard deviation s of this sample is

![s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%2852-50.8%29%5E2%2B%2848-50.8%29%5E2%2B%2849-50.8%29%5E2%2B%2852-50.8%29%5E2%2B%2853-50.8%29%5E2%5D%7D)
![s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%281.44%29%2B%287.84%29%2B%283.24%29%2B%281.44%29%2B%284.84%29%5D%7D%3D%5Csqrt%7B%5Cdfrac%7B18.8%7D%7B4%7D%7D%3D%5Csqrt%7B4.7%7D%5C%5C%5C%5C%5C%5Cs%3D2.168)
The degrees of freedom are

Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.
The margin of error of the CI is:

Then, the lower and upper bounds of the CI are:

The 95% confidence interval for the measurements is [48.106, 53.494].
<span>z2-z(z+3)+3z
=> z2 - z2 - 3z + 3z
=> 0
we can cancel the like terms if they have different signs ..
Hope it helps !!</span>