Answer:
21
Step-by-step explanation: because i said so
To get the volume of a rectangular prism, you multiply the base times the height by the width, so to get the width you would divide 11,232 by 13 which is 864, then you divide that by 36 to get 24, so the width would be 24.
General Idea:
The Rules for Transformations of Functions are given below:
If f(x) is the original function, a > 0 and c > 0; Then
![f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0](https://tex.z-dn.net/?f=%20f%28x%29%2Bk%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20UPWARD%20%5C%3B%20k%20%5C%3B%20units%5C%5C%5C%5Cf%28x%29-k%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20DOWNWARD%20%5C%3B%20k%20%5C%3B%20units%5C%5C%5C%5Cf%28x%2Bh%29%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20LEFT%20%5C%3B%20h%20%5C%3B%20units%5C%5C%5C%5Cf%28x-h%29%20%5C%3B%20%5C%3B%20shift%20%5C%3B%20f%28x%29%20%5C%3B%20RIGHT%20%5C%3B%20h%20%5C%3B%20units%5C%5C%5C%5C-f%28x%29%20%5C%3B%20%5C%3B%20REFLECT%20%5C%3B%20f%28x%29%20%5C%3B%20in%20%5C%3B%20the%20%5C%3B%20x-axis%5C%5C%5C%5Cf%28-x%29%20%5C%3B%20REFLECT%20%5C%3B%20f%28x%29%20%5C%3B%20in%20%5C%3B%20the%20%5C%3B%20y-axis%5C%5C%5C%5Ca%20%5Ccdot%20f%28x%29%2C%20%5C%3B%20a%3E1%20%5C%3B%20STRETCH%20%5C%3B%20f%28x%29%20%5C%3B%20vertically%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%20a%5C%5C%5C%5Ca%20%5Ccdot%20f%28x%29%2C%20%5C%3B%200%3Ca%3C1%20%5C%3B%20SHRINK%20%5C%3B%20f%28x%29%20%5C%3B%20vertically%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%20a%5C%5C%5C%5C%20)
![f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a} .\\\\f(ax), \; 0](https://tex.z-dn.net/?f=%20f%28ax%29%2C%20%5C%3B%20a%3E1%20%5C%3B%20SHRINK%20%5C%3B%20f%28x%29%20%5C%3B%20horizontally%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%5Cfrac%7B1%7D%7Ba%7D%20%20.%5C%5C%5C%5Cf%28ax%29%2C%20%5C%3B%200%3Ca%3C1%20%5C%3B%20STRETCH%20%5C%3B%20f%28x%29%20%5C%3B%20horizontally%20%5C%3B%20by%20%5C%3B%20a%20%5C%3B%20factor%20%5C%3B%20of%20%5C%3B%5Cfrac%7B1%7D%7Ba%7D%20)
Applying the concept:
In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:
C.it stretches the graph vertically by a factor of 5
Answer:
3. 224 cm3
4. 35 cm3
5. 60 cm3
Step-by-step explanation:
To find the volume you need to multiple the base times the height times the length.
Answer:
D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.
Step-by-step explanation:
(a) Range is the difference between the smallest and largest observation.
Here Smallest observation = 0.63
and Largest observation = 1.48
⇒ Range = 0.85
(b) Standard Deviation is calculate by,
![Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }](https://tex.z-dn.net/?f=%20Standard%20deviation%28%5Csigma%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7Bn%7D%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%7B%28x_%7Bi%7D-%5Cbar%7Bx%7D%29%5E%7B2%7D%7D%20%7D)
where,
is mean of the observation.
Here, Mean = 0.988
⇒ Standard Deviation = 0.313
(c) Variance is the square of Standard deviation.
Thus, Variance = (Standard Deviation)² = 0.098
(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.