Answer:
a)
And we can find this probability with the complement rule:
b) ![z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431](https://tex.z-dn.net/?f=%20z%20%3D%5Cfrac%7B106.11-%20106%7D%7B%5Cfrac%7B0.3%7D%7B%5Csqrt%7B44%7D%7D%7D%3D%20%202.431)
And if we use the z score we got:
Step-by-step explanation:
Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:
Where
and
Part a
We are interested on this probability
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability with the complement rule:
Part b
For this case we select a sample of n =44 and the new z score formula is given by:
![z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
And if we find the z score we got:
![z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431](https://tex.z-dn.net/?f=%20z%20%3D%5Cfrac%7B106.11-%20106%7D%7B%5Cfrac%7B0.3%7D%7B%5Csqrt%7B44%7D%7D%7D%3D%20%202.431)
And if we use the z score we got:
You would multiply 8m by m and 6 separately. it would be 8m^2 + 48m
Answer:
D
Step-by-step explanation:
Answer:
The correct answer is first option. 204 m²
Step-by-step explanation:
Formula:-
Lateral surface area of square pyramid = 4 * area of triangle
<u>To find the slant height of triangle(l)</u>
l = √(6² + 6²) = 6√2
To find the area of triangle
Area = bh/2
b = 12 m
h = 6√2
Area = (12 * 6√2)/2 = 36√2
<u>To find the lateral surface area of Prism</u>
Lateral surface area of square pyramid = 4 * area of triangle
= 36√2 * 4 = 203.64 ≈ 204 m²
First answer is the correct option
Answer:
<h2>112°</h2>
Step-by-step explanation:
Angle 8 will also be 112° because both of them( Angle 2 and Angle 8) are exterior alternate angles and exterior alternate angles are always equal.
So Angle 8 = 112°