The probability of choosing a red marble is 18/47.
Answer:
The solution is (2, 1).
All other ordered pairs do not work.
Step-by-step explanation:
-2x + 5y = 1
5x - 3y = 7
-10x + 25y = 5
10x - 6y = 14
19y = 19
y = 1
5x - 3(1) = 7
5x = 10
x = 2
(2, 1)
The solution is (2, 1).
All other ordered pairs do not work.
Answer:
<em>1 and -4</em>
Step-by-step explanation:
<em>The vertical asymptote of a function is gotten by equating the denominator of such function to zero.</em>
Given
f(x) = 4x+8/x^2+3x-4
The vertical asymptotes is expressed as;
x^2+3x-4 = 0
Factorize
x^2+4x-x-4 = 0
x(x+4) -1 (x+4) = 0
(x-1)(x+4) = 0
x-1 = 0 and x+4 = 0
x = 1 and x = -4
<em>Hence the vertical asymptotes of the function are 1 and -4</em>
Answer: 
Step-by-step explanation:
Given
Sample of 12 measurements has a mean of 16.5 and
a sample of 15 measurements has a mean of 18.6
Take 
be the mean and no of measurements
and 
be the mean and no of measurements in second case
Similarly,
Mean of 27 measurements
Answer:
-9 - J
Step-by-step explanation:
<x2 – x1, y2 – y1>
<a, b> = ai + bj.
