Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
![\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%265%5C%5C2%26-10%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-16%5C%5C-48%5C%5C%5Cend%7Barray%7D%5Cright%5D)
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
Answer:
Step-by-step explanation:
Graph the parent function f(x) = |x|. The vertex of the graph will be at (0, 0), and this v-shaped graph will open UP.
Now: to obtain the graph of 2|x - 3|, translate the graph of f(x) = |x| 3 units to the right, and expand the v-shape vertically by a factor of 2.
Finally, translate the entire graph up by 2 units.
Answer:
a) 0.5 is the probability of students who selected the stated option.
b) =0.8 is the probability of students who choose the stated option.
c) E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
Step-by-step explanation:
Solution:
Number of students assigned to guilty state = 57
Number of students choose stated option = 45
Randomly Selected students =10
a) Find p(x=5)
x is the number in a sample of 10, who choose the stated option.
Sample number p(s) = 10
P(x) = 5
Probability = p(x) / p(s)
= 5/ 10
=0.5
0.5 is the probability of students who selected the stated option.
(b) Find p(x=8)?
Sample number p(s) = 10
P(x) = 8
Probability = p(x) / p(s)
= 8/ 10
=0.8 is the probability of students who choose the stated option.
(c) Expected (mean) value of x?
The expected value can be calculated by multiplying the probability of an event by the event's amount of times.
E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
$69.87387765084023 because u would have to divide
100 divided by 1.43115
Many fractions are equal. You can double both numbers to make a new fraction with the same properties, or times them both by 10 or more.
Examples of answers:
10/16
50/80
500/800 etc...