Answers:
26) 50 percent chance
27) 25 percent chance
28) About 25 times
29) About 20 times
Answer:
The area of the pyramid’s base is 36 in².
The pyramid has 4 lateral faces.
The surface area of each lateral face is 27 in².
Step-by-step explanation:
"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.
The <u>base</u> is the bottom, which is a <u>square</u>.
To calculate the <u>area of the base</u>, use the formula for area of a square.



To calculate the <u>area of a lateral face</u>, find the area of a triangle.




In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.
Answer:

Step-by-step explanation:
Given: 76,45,64,80,92
Required: Determine the standard deviation
We start by calculating the mean

Where x-> 76,45,64,80,92 and n = 5



Subtract Mean (71.4) from each of the given data

Determine the absolute value of the above result

Square Individual Result

Calculate the mean of the above result to give the variance


Hence, Variance = 255.298
Standard Deviation is calculated by 



Answer: X=13/3
Step-by-step explanation:
1. Multiply Both sides by 12
8x-10=5x+3
2. Collect the like terms, calculate the sum
8x-5x=3+10
3.Divide both sides by 3
3x=13
Answer X=13/3
Alternative Form,
X= 4 1/3, X=4.3