5h + 3d = 11.50 * 2
4h + 2d = 8.50 * 3
10h + 6d = 23
12h + 6d = 25.50
subtract the former equation from the latter:-
2h = 2.50
h = 1.25
so susbstituting in the second equation
4(1.25) + 2d = 8.50
5 + 2d = 8.50
2d = 3.50
d = 1.75
hot dogs cost $1.25 and drinks cost $1.75
The trigonometric ratios are used for right angle triangle.The basic rule to followed is SOH CAH TOA
SOH means Sinx=opposite/Hyp.
CAH means Cosx = adj./Hyp.
TOA means Tanx = Opp./Adj.
Opposite is the side opposite to the acute angle of the right triangle.
<span>Adjacent is the side Adjacent to the acute angle of the right triangle.
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The longest side in a right triangle is the hypotenuse.
Just find the volume of a triangular prism.
volume=1/2*length*width*height.
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
Answer:
19/24m-1/3
Step-by-step explanation:
1/6m-(-5/8m+1/3)=1/6m+5/8m-1/3=4/24m+15/24m-1/3=19/24m-1/3