We can write a proportion to resemble the problem;
AE/ED = AB/BC
AE = 9
ED = 6
AB = x
BC = 10
Substitute with the given values.
9/6 = x/10
9/6 * 10 = x/10 * 10
90/6 = x
15 = x
Therefore, the answer is 15.
Best of Luck!
Answer:
1.1/8
2.because multiply the numerator by the reciprocal of the denominator
Step-by-step explanation:
Answer:
Cathy was right ( kinda)
Step-by-step explanation:
let the dimension of the small one be 2a : 2b : 2c
then the dimension of the big one be 3a : 3b : 3c
volume of small: 2a*2b*2c = 8 abc
volume of big: 3a*3b*3c = 27 abc
volume ratio: big/ small = 27/8 = 3.375
-> big one hold 237.5% more than small
-> Cathy was right ( kinda)
When comparing the slopes of the functions you must first make y the subject of formula.
6x - y - 2 = 0 => y = 6x - 2 => slope is 6
2y = 3/2 x + 6 => y = 3/4 x + 3 => slpoe = 3/4
5 = 2x + 4y - 3 => 4y = -2x + 5 + 3 = -2x + 8 => y = -1/2 x + 2 => slope = -1/2
The first function is steepest followed by the second function and then the third function.
The slope is not affected by the y-intercept neither is the y-intercept affected by the slope.
Answer:
a) The value of A = 2
b) The value of 
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; ![P[X = n] = \dfrac{A}{3^n}](https://tex.z-dn.net/?f=P%5BX%20%3D%20n%5D%20%3D%20%5Cdfrac%7BA%7D%7B3%5En%7D)
for some constant A and n ≥ 1.
Then, let ![\sum \limits ^{\infty}_{n =1} P[X =n] = 1](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7B%5Cinfty%7D_%7Bn%20%3D1%7D%20P%5BX%20%3Dn%5D%20%3D%201)
This implies that:
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
where; B is constant.
Then, using the property of the probability density function:
Taking the integral, we have:
![B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1](https://tex.z-dn.net/?f=B%20%5CBig%20%5B%5Cdfrac%7Bx%5E3%7D%7B3%7D%20%2Bx%20%5CBig%20%5D%5E3_0%20%3D%201)
![B \Big [\dfrac{3^3}{3} +3 \Big ]= 1](https://tex.z-dn.net/?f=B%20%5CBig%20%5B%5Cdfrac%7B3%5E3%7D%7B3%7D%20%2B3%20%5CBig%20%5D%3D%201)
![B \Big [\dfrac{27}{3} +3 \Big ] = 1](https://tex.z-dn.net/?f=B%20%5CBig%20%5B%5Cdfrac%7B27%7D%7B3%7D%20%2B3%20%5CBig%20%5D%20%3D%201)
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
