Answer:
Step-by-step explanation:
In order to simplify the above expressions we make sure that we get same powers of 10 for both the terms.
So, we multiply and divide the first term with 10
Dividing first term by 10.
Now multiplying it by 10.
Evaluating the new expressions.
Taking 
common factor out.
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
Its a because it should be 50 50 if u think whats 100/2 so that would be a simple event
Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
Answer:
Step-by-step explanation:
Do substitution by first writing an equation 15c + 29a=175 when you get your answer either substitute it in your other equation which would be 21c+27a=177, if you found c(Children) in your first equation substitute it in 21 by multipying if you found a do the same thing.
