Use the compound amount formula: A = P(1+r)^t
Here, A = $2700(1+0.07)^3 = $3307.62
Luis will have accumulated $3307.62 to spend on his trib to Belize.
Answer:
AB = -10
Im confused is this what you wanted?
86%, 3/4, 0.682, 0.67, 5/8, 0.41
^ I converted the above to decimals first and then arranged them that way.
1/20 = 0.05 x 100 = 5%
According to the Central Limit Theorem, the distribution of the sample means is approximately normal, with the mean equal to the population mean (1.4 flaws per square yard) and standard deviation given by:
![\frac{\sigma}{ \sqrt{n} }=\frac{1.2}{ \sqrt{178} }=0.09](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma%7D%7B%20%5Csqrt%7Bn%7D%20%7D%3D%5Cfrac%7B1.2%7D%7B%20%5Csqrt%7B178%7D%20%7D%3D0.09)
The z-score for 1.5 flaws per square yard is:
![z=\frac{1.5-1.4}{0.09}=1.11](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1.5-1.4%7D%7B0.09%7D%3D1.11)
The cumulative probability for a z-score of 1.11 is 0.8665. Therefore the probability that the mean number of flaws exceeds 1.5 per square yard is
1 - 0.8665 = 0.1335.
<u>Given</u>:
Given that the figure is a triangular prism.
The length of the prism is 4 m.
The base of the triangle is 2.5 m.
The height of the triangle is 2.25 m.
We need to determine the volume of the triangular prism.
<u>Volume of the triangular prism:</u>
The volume of the triangular prism can be determined using the formula,
![V=\frac{1}{2}bhl](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7Dbhl)
where b is the base of the triangle,
h is the height of the triangle and
l is the length of the prism.
Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;
![V=\frac{1}{2}(2.5)(2.25)(4)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%282.5%29%282.25%29%284%29)
![V=\frac{1}{2}(22.5)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%2822.5%29)
![V=11.25 \ m^3](https://tex.z-dn.net/?f=V%3D11.25%20%5C%20m%5E3)
Thus, the volume of the triangular prism is 11.25 m³