Answer:
4. the circumference = approx. 21.99
5. 30 feet
6. 150.8 feet
Step-by-step explanation:
4: 3.5*π*2= 21.99
5:. 1800÷60= 30
6. circumference equals approx. 37.7 feet and I multiplied that by 4 because the boy went around 4 times
hope this helps <3
A calculate the bounce height for each and work out the total
b do it again and use a stopwatch and calulate. Hope this helped
B²-4ac?
<span>5x²+7x-6 = 0 </span>
<span>the form is ax²+bx+c = 0 </span>
<span>a=5, b=7, c=-6 </span>
<span>The discriminant D = b²-4ac </span>
<span>= 7² - 4(5)(-6) = 49 + 120 </span>
<span>= 169 </span>
Answer:
80.0456<
<81.1210
Step-by-step explanation:
-Given the mean,
and
, the confidence interval can be calculated using the formula:

#We substitute our values in the formula to solve for CI:
![=\bar x\pm z\times \frac{\sigma}{\sqrt{n}}\\\\=\bar y\pm z_{0.05}\times \frac{s}{\sqrt{72}}\\\\=80.5833\pm 1.645\times \frac{2.77369}{\sqrt{72}}\\\\=80.5833\pm0.5377\\\\=[80.0456,81.1210]](https://tex.z-dn.net/?f=%3D%5Cbar%20x%5Cpm%20z%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D%5Cbar%20y%5Cpm%20z_%7B0.05%7D%5Ctimes%20%5Cfrac%7Bs%7D%7B%5Csqrt%7B72%7D%7D%5C%5C%5C%5C%3D80.5833%5Cpm%201.645%5Ctimes%20%5Cfrac%7B2.77369%7D%7B%5Csqrt%7B72%7D%7D%5C%5C%5C%5C%3D80.5833%5Cpm0.5377%5C%5C%5C%5C%3D%5B80.0456%2C81.1210%5D)
Hence, the confidence interval lies between 80.0456 and 81.1210