Answer:
The probability that the mean of this sample is less than 16.1 ounces of beverage is 0.0537.
Step-by-step explanation:
We are given that the average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces.
A random sample of sixty-five 16-ounce beverage cans are selected
Let 
= <u><em>sample mean amount of a beverage</em></u>
The z-score probability distribution for the sample mean is given by;
Z = 
~ N(0,1)
where, 
= population mean amount of a beverage = 16.18 ounces
= standard deviation = 0.4 ounces
n = sample of 16-ounce beverage cans = 65
Now, the probability that the mean of this sample is less than 16.1 ounces of beverage is given by = P( < 16.1 ounces)
P( < 16.1 ounces) = P( < 
) = P(Z < -1.61) = 1 - P(Z 
1.61)
= 1 - 0.9463 = <u>0.0537</u>
The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9591.
Answer:
A. <u>Volume = 4,523.9 mm³ (cubic mm)</u>
B. <u>Surface area = 1,658.76 mm² (square mm)</u>
Step-by-step explanation:
A. Lest's calculate the volume of the cylinder:
r = 12 mm, h = 10 mm
Volume = π * r² * h
Volume = 3.1416 * 12² * 10
Volume = 3.1416 * 144 * 10
<u>Volume = 4,523.9 mm³</u>
B. Let's calculate the surface area of the cylinder:
Surface area = 2π * r * h +2π * r²
Surface area =2π * 12 * 10 + 2π * 12²
Surface area = 6.2832 * 120 + 6.2832 * 144
<u>Surface area = 753.98 + 904.78 = 1,658.76 mm²</u>
Step-by-step explanation:
5% multipyed by 4 years is 20%
20% of 2000 is 400
Answer:
3^1
Step-by-step explanation:
3^-5 * 3^6
When multiplying exponents with the same base, we can add the exponents
3^ ( -5+6)
3^1
Answer:
7949.13 feet
Step-by-step explanation:
We are given that,
Angle of depression from the spot to the group = 39°
Height of Grand Canyon = 5000 feet.
So, we will get the following figure of a right triangle.
<em>As, 'in a right triangle, the angles and the sides can be written in trigonometric form'.</em>
We get, 
i.e. 
i.e. 
i.e. 
i.e. x = 7949.13 feet
Thus, the line of sight distance is 7949.13 feet.
