Answer:
4/9 probability you will get an even number
Step-by-step explanation:
The theoretical probability of spinning an even number is 4/9, since there are 4 even numbers in the spinner
Answer:
Slope - intercept form:
B) y= x -4
Step-by-step explanation:
(3,-1) and (-1,-5)
Slope = (-5 + 1)/(-1 - 3)
Slope = -4 / -4
Slope = 1
Point slope form:
y + 1 = 1 (x - 3)
y +1 = x - 3
y = x - 4 <------------------slope - intercept form
9514 1404 393
Answer:
3x -4y = -9
Step-by-step explanation:
Multiply by 4 to clear the fraction.
4(y -6) = 3(x -5)
Subtract the left-side term to get variables on the same side, with a positive x-coefficient.
0 = 3(x -5) -4(y -6)
Eliminate parentheses and collect terms.
0 = 3x -15 -4y +24
0 = 3x -4y +9
Subtract 9 and swap sides to get standard form.
3x -4y = -9
_____
Standard form is ...
ax +by = c
where a ≥ 0, and a, b, c are mutually prime integers. If a=0, then b > 0.
__
The attached graph shows the equations give the same line. The original line is shown dotted so that you can see they overlap.
9514 1404 393
Answer:
t ≥ 40
Step-by-step explanation:
"No less than" is the same as "greater than or equal to".
t ≥ 40
Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways
