Answer:
11x+7
Step-by-step explanation:
This is because, in order to simplify, first you need to distribute the 2 into the x+5. So, you get 2x+10. Then you get 9x-3+2x+10. The 9x and 2x combine to get 11x. The -3+10 combine to get 7. So you have 11x+7.
Answer:
135 to 143 minutes.
Step-by-step explanation:
Standard deviation (s) = 22.6 minutes
Sample size (n) = 123
Sample average (X) = 139 minutes
The lower and upper bounds of a confidence interval are given by:
Lower bound:
Upper bound:
For a confidence interval of 95%, the z-score value is 1.96.
Therefore, the 95% confidence interval for the mean surgery time is:
Lower bound:
Upper bound:
The 95% confidence interval is 135 to 143 minutes.
Answer:
The area of the triangle is: "
8.5 cm² " ;
or, write as: "
8 cm² " .
_______________________________________________________Explanation:_________________________________________________________The formula {"equation"} for the area of a triangle is:
A = (
) * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = "
8.5 cm² " ; or, write as: "
8 cm² " .
_________________________________________________________Answer:
"
8.5 cm² " ; or, write as: "
8 cm² " .
_________________________________________________________The area of the triangle is:
"
8.5 cm² " ;
or, write as: "
8 cm² " .
_________________________________________________________
Answer:
9/16
Step-by-step explanation:
Since it is only 2 sets of 4 coices it would be super easy to write them all out.
Plant 1 Clay
Plant 1 Plastic
Plant 1 Metal
Plant 1 Wood
Plant 2 Clay
Plant 2 Plastic
Plant 2 Metal
Plant 2 Wood
Plant 3 Clay
Plant 3 Plastic
Plant 3 Metal
Plant 3 Wood
Cactus Clay
Cactus Plastic
Cactus Metal
Cactus Wood
16 choics total, take out all with a cactus or clay pot
Plant 1 Plastic
Plant 1 Metal
Plant 1 Wood
Plant 2 Plastic
Plant 2 Metal
Plant 2 Wood
Plant 3 Plastic
Plant 3 Metal
Plant 3 Wood
9 choices left, so probability is 9/16
to do it for any number find the total number of choices again, so 16 then you subtract the number of each category you are excluding. so there were 4 cacti and 4 clay, so subtract 8, to get 8. Then you add back any that had both clay and cacti, which there was one, whn you had a cactus in a clay pot, so add back 1. This gets us 9 again.
This is called the inclusion exclusion principle. Might want to look into this specifically.