Answer: 23.80
Step-by-step explanation:
Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

Cross multiplying and solving will get you this:

Which can simplify to:

Which putting into a calculator gets you:

So the line PR is 6.2 units long.
Answer:
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
Step-by-step explanation:
Hello!
Considering the dependent variable:
Y: Ductility in steel.
And the independent variable:
X: Carbon content of the steel.
The linear regression was estimated and a prediction interval was calculated.
The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=
]
In this case 95% prediction interval for Y/X=0.5
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
I hope it helps!
Answer:
Total bill = $88.50
Step-by-step explanation:
Amount of bill = $75
Tip = 18%
Amount of tip = 
Amount of tip = 
Amount of tip = $13.50
Total bill = Bill + Tip
Total bill = 75 + 13.50
Total bill = $88.50
A
The volume (V) of a pyramid is found using the formula
V =
× area of base × height(h)
area of base = 9² = 81 ← area of a square, hence
324 =
× 81 × h = 27h ( divide both sides by 27 )
h =
= 12 → A