Prism volume = width*length*height
56 1/4 = 3 3/4 * 7 1/2 * h
56.25=3.75*7.5*h
h=(56.25)/(3.75*7.5)=2
So that the missing dimension (height) is 2 ft
Answer:
0.986
Step-by-step explanation:
2.5 times 0.986=2.465
SOLUTION
From the given data the mean is 62 and standard deviation is 4
It is required to find the probability that a data value is between 57 and 62
That is:

The z scores is calculated using:

Using the x values it follows:

Also,

Thus the required probability is:
![P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%](https://tex.z-dn.net/?f=P%28-1.25The%20proability%20is%3A%5Btex%5DP%28-1.25This%20can%20be%20expressed%20as%20percentage%20as%3A%5Btex%5DP%28-1.25%5Clt%20z%5Clt0.75%29%3D66.8%5C%25)
Therefore the correct option is C
Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
Answer:
Thank you so much
Step-by-step explanation: