Answer:
[34,54]
Step-by-step explanation:
-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.
Where:
- 68% is the first standard deviation
- 95% is the second standard deviation about the mean
- 99.7% is the 3rd standard deviation about the mean.
-Therefore. the middle 95% interval is calculated as:
![CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]](https://tex.z-dn.net/?f=CI%3D%5Cmu%2B2%5Csigma%5C%5C%5C%5C%3D44%5Cpm%202%285%29%5C%5C%5C%5C%3D44%5Cpm%2010%5C%5C%5C%5C%3D%5B34%2C54%5D)
Hence, the interval is [34,54]
Answer:
Step-by-step explanation:
Given equation is representing the graph of parabola which opens down and its pick is its vertex
<u>The vertex is calculated by vertex formula:</u>
- x = -b/2a for the equation y = ax² + bx + c
<u>In our case t is the vertex and its value is:</u>
- t = -42/(-1.5*2) = 42/3 = 14 seconds
Answer:
The GCF for the numerical part is 4 . The factors for x2
Step-by-step explanation:
Answer:
f(- 2) = - 1
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 3 - (- 2)² = 3 - 4 = - 1
It doesn’t have an inverse because it doesn’t pass the horizontal line test
