There are 59,400 ways this jury can be selected.
Since the events are independent of each other (choosing one does not influence the chance of choosing the others) we multiply the combinations.
The first combination is
, because we are selecting 4 men from a possible 12.
The second combination is
, because we are selecting 3 women from a possible 10.
Multiplying these we have:
First, you want to find the slope of the line. You do this by taking the difference in the heights divided by the difference of the time.
m=(20-12)/(5-3)
m=8/2
m=4
Now plug the information into slope intercept form (you can choose whichever set of data you want, just as long as you are consistent):
y=mx+b
12=(4)(3)+b
12=12+b
b=0
This is saying that there is no y-intercept (b).
So our final equation is:
y=4x
The question is asking for y when x is 1, so just plug it into the equation:
y=4(1)
y=4
Hope this helps!
Answer:
9, 32 and 36
Step-by-step explanation:
The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:
one side: '4 times the shortest side' = 4s
shortest side: 's'
third side: '23 more than the shortest side' = s + 23
perimeter = 77
Equation: 4s + s + (s + 23) = 77
Combine like terms: 6s + 23 = 77
Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54
Divide by 6: 6s/6 = 54/6 or s = 9
one side: 4s = 4(9) = 36
shortest side: s = 9
third side: s + 23 = 9 + 23 = 32
7/10 = 0.7
198/100 = 1.98
85/100 = 0.85
45/100 = 0.45
1/4 = 0.25
3/2 = 1.5
3/8 = 0.375
1/9 = 0.11111111 ( goes on forever) ( sigue para siempre )
Hope it Helps!
¡Espero eso ayude!
