To represent the opposite of this number, if it is positive nineteen,
he would need to first take nineteen steps back to reach his original
position which in this case represents zero. He would then need to take
another nineteen steps backwards, to reach negative nineteen.
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Answer:
7x+9y=45
Step-by-step explanation:
Standard equations always mean that you have to get x and y on one side so that they equal the coefficient.
Do this by adding the fraction that is combined with x to the other side where y is. The equation should now read 
Standard form cannot have fractions, so now you must multiply by the denominator (9) on both sides of the equation in order to cancel it out. Don't forget to multiply EACH variable by 9. This leads you to the answer.
Answer: (30.49 years, 42.31 years)
Step-by-step explanation:
The formula to find the confidence interval is given by :-

, where
= Sample mean
z* = Critical value.
= Population standard deviation.
n= Sample size.
As per given , we have
n= 40
We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)
A 99 percent confidence interval for µ, the true mean age of guests will be :

∴ a 99 percent confidence interval for µ, the true mean age of guests = (30.49 years, 42.31 years)
The formula for the volume of a triangular pyramid is:
V=1/3AH (where A=area of the base and H=height)
The formula for the volume of a triangular prism is:
V=AH (where A=area of the base and H=Height)
Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.
Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.
V(pyramid)=1/3V(prism)
Now lets input the volume of the pyramid
26cm³=1/3 V(prism)
Divide both sides by 1/3
78cm³=V(prism)
Answer=78cm³