Answer:

- We're provided the figure of trapezium in which 2 m and 7m are the opposite parallel sides and 10m is the height.
- The formula to found out the area of a trapezium is
where h is the height and a & b are the opposite parallel sides .


- Plug the values & then simplify!



- Hence , The required answer is <u>45</u> square meters .
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Answer:
0.5217
Step-by-step explanation:
Given that:
mean
= 5.8
Using Poisson Probability formula:


![= 1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)]](https://tex.z-dn.net/?f=%3D%201-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%2BP%28X%3D3%29%2BP%28X%3D4%29%2BP%28X%3D5%29%5D)
![= 1 -[\frac{(e^{-5.8}*5.8^0) }{ 0! } + \frac{(e^{-5.8}*5.8^1) }{ 1! } +\frac{(e^{-5.8}*5.8^2) }{ 2! } +\frac{(e^{-5.8}*5.8^3) }{ 3! } +\frac{(e^{-5.8}*5.8^4) }{ 4! } +\frac{(e^{-5.8}*5.8^5) }{ 5! } ]](https://tex.z-dn.net/?f=%3D%201%20-%5B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E0%29%20%20%20%20%7D%7B%200%21%20%20%20%7D%20%2B%20%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E1%29%20%20%20%20%7D%7B%201%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E2%29%20%20%20%20%7D%7B%202%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E3%29%20%20%20%20%7D%7B%203%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E4%29%20%20%20%20%7D%7B%204%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E5%29%20%20%20%20%7D%7B%205%21%20%20%20%7D%20%5D)



∴ the probability that, in any hour, more than 5 customers will arrive =0.5217
4 x 1,151.65 = 4,606.60
<span>This is invested in two accounts. Twenty-five percent is invested in savings (4,606.60 x 25% = 1,151.65). The remainder is invested in a CD (4,606.60 - 1,151.65 = 3,454.95) </span>
<span>Interest accrued for savings. *Note: The interest rates given are for a full year, but you want to calculate interest for only 60 days. </span>
<span>1,151.65 x 0.033 x 60/360 = $6.33 </span>
<span>Interest accrued for CD </span>
<span>3,454,95 x 0.043 x 60/360 = $24.76 </span>
<span>Total interest accrued </span>
<span>6.33 + 24.76 = $31.09 </span>
<span>Note: 0.033 and 0.043 = 3.3% and 4.3%. Also, the 360 day year is normally used when doing these types of problems.</span>
Answer:
66 feet
Step-by-step explanation:
30+30=30 feet
6+6=12 yards
1 yard=3 feet
12*3=36
30+36=66
20% off means you paid only 80% of the original price.
0.8x=40
x=40÷0.8=50
so the original price is 50