Answer: 70% chance of winning
Step-by-step explanation: What is your question? Are you trying to ask the probability of winning? (I will assume this and answer)
The whole case of selecting to numbers : 5C2 = 5 X 4 / 2 = 10
the cases of getting a odd sum : select 1 odd number and 1 even number
=> select 1 odd number : 7 or 9 => 2 cases
=> select 1 even number: 4,6,8 => 3 cases
you multiply 2 and 3 and divide it by 2 because order doesn't matter
so the answer is 1 - (3/10) = 0.7
Answer:
-5
Step-by-step explanation:
Geometric sequences have common ratios.
You can see if a sequence is geometric by computing:
.
If you get the same result per consecutive pair, then there is a common ratio and the sequence is geometric.
Let's see:
So if this equations holds (if all 3 fractions equal the same thing), then is geometric and we have also have computed the common ratio.
The first fraction results in -250/50=-5.
The second fraction results in 50/-10=-5.
The third fraction results in -10/2=-5.
All three fractions are equal and so the equation holds so it is geometric and the common ratio is -5.
Answer: d) determinant cannot be found
<u>Step-by-step explanation:</u>
You can only find the determinant of a SQUARE matrix.
In other words, the dimensions must be 2 × 2 or 3 × 3 or ... n × n
The dimensions of the given matrix is 2 x 3, so the determinant cannot be calculated.
Answer:
C
Step-by-step explanation:
1*18 2*9 3*6
Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
b) For the point-slope equation, I'll use (9,8)
Using the formula:
c) For the slope-intercept form, we solve for y in the point-slope formula: