Answer:
18 , 18.901036
Step-by-step explanation:
3.052 * 6.193
estimate : 3 * 6 = 18
actual answer : 3.052 * 6.193 = 18.901036
Answer:
x - 1 is not a factor.
Step-by-step explanation:
By the Factor theorem if x - 1 is a factor then f1) = 0:
f(1) = 4*1^3 + 3*1^2 - 4*1 + 3
= 4 + 3 - 4 + 3
= 6 so it is not a factor.
Answer:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Step-by-step explanation:
Suppose that we have a cube with sidelength M.
if we rescale this measure with a scale factor 8, we get 8*M
Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2
This means that the ratio of the surfaces/areas will be 64.
(and will be the same for a pyramid, a rectangle, etc)
Then the correct options will be the ones related to surfaces, that are:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
= 79
Standard deviation,
= 3.5
Now,
⇒ ![\sigma\bar x = \frac{\sigma}{\sqrt n}](https://tex.z-dn.net/?f=%5Csigma%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%20n%7D)
![= \frac{3.5}{\sqrt 16}](https://tex.z-dn.net/?f=%3D%20%20%20%5Cfrac%7B3.5%7D%7B%5Csqrt%2016%7D)
![=0.875](https://tex.z-dn.net/?f=%3D0.875)
⇒ ![P(\bar x > 81) = 1 - P(\bar x < 81)](https://tex.z-dn.net/?f=P%28%5Cbar%20x%20%3E%2081%29%20%3D%201%20-%20P%28%5Cbar%20x%20%3C%2081%29)
So,
= ![1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ]](https://tex.z-dn.net/?f=1%20-%20P%7B%5Cfrac%7B%28%5Cbar%20x%20-%20%5Cmu%20%5Cbar%20x%20%29%7D%7B%20%5Csigma%20%5Cbar%20x%7D%20%20%3C%20%5Cfrac%7B%2881%20-%2079%29%20%7D%7B0.875%7D%20%5D)
= ![1 - P(z < 2.2857)](https://tex.z-dn.net/?f=1%20-%20P%28z%20%3C%202.2857%29)
= ![0.0111](https://tex.z-dn.net/?f=0.0111)
140oz I believe because you just do 14oz times 10 because one dozen is 12 and 12 times 10 is 120.