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:When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.
here you go
Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)
Step-by-step explanation:
It's 12.5 feet the first year
51 feet 5 years later
If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft
12.5x4.08 is 51 feet.
So the tree grows approximately 1 and 5/8 feet a year
Answer:
Step-by-step explanation:
Please kindly go through the attached file for a step by step approach to the question.
The square footage of the path is 47.1 ft²
The area of a circle is:
A = πr²
Where r is the radius of the circle.
Let us assume that the pool is a circle.
Given that the pool has a radius (r₁) of 7 feet and a path 1 foot wide would go round the pool.
Radius of pool and cement path (r₂) = 7 ft + 1 ft = 8 ft.
The square footage of the path = πr₂² - πr₁² = π*8² - π * 7² = 47.1 ft²
Hence The square footage of the path is 47.1 ft²
Find out more at: brainly.com/question/23328170