Answer:
23°, 54°, 103°
Step-by-step explanation:
let the2nd angle = x
1st angle = x + 31
3rd angle = 2(x + 31) - 5 = 2x + 62 - 5 = 2x + 57
Sum the 3 angles and equate to 180
x + 31 + x + 2x + 57 = 180 , that is
4x + 88 = 180 ( subtract 88 from both sides )
4x = 92 ( divide both sides by 4 )
x = 23
Then
1st angle = x + 31 = 23 + 31 = 54°
2nd angle = x = 23°
3rd angle = 2x + 57 = 2(23) + 57 = 46 + 57 = 103°
Answer:
This problem is not possible.
Step-by-step explanation:
Only functions and variables can have subscripts, or the number below the first 2. If we were to take that out, then we would get a line that starts at y = 8 and goes up on the x axis.
Hope that this helps!
Answer:
question 7 would be option 4 because its saying he has AT LEAST $5, which would mean he DOES have $5 or more. Which is why you would use the "more than or equal to" sign that was used in option 4.
question 8 would be option 1 because its a closed circle that includes the $5 and its going to the right.
Step-by-step explanation:
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
