Answer:
<h2>8 feet</h2>
Step-by-step explanation:
The formula of a volume of a square pyramid:

s - base length
H - height
We have the volume V = 32 ft³ and the base length s = 4 ft.
Substitute and solve for H:

Answer:
a. 55.56%
b. 44.44%
c. 3.33%
d. 33.33%
Step-by-step explanation:
total supply = 180
a. In the first factory the total number obtained = 100
probability that the chosen part is from the first
= 100/180
= 0.5556
= 55.56%
b. In the second factory total = 80
probability that the chosen part is from the second
= 80/180
= 0.4444
= 44.44%
c. probability that part chosen at random from 180 is defective
= 2% * 0.5556 + 5% * 0.4444
= 0.02*0.5556 + 0.05*0.4444
= 0.011112 + 0.0222
= 0.03331
= 3.33%
d. probability it came rom the first factory if it is defective

= 
= 
= 0.33357
= 33.33%
Answer:
yes; 4² + 3² = 5²
Step-by-step explanation:
Pythagorean theorem.
In a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Hypotenuse is the longest side of the triangle.
4² + 3² = 5²
16 + 9 = 25
25 = 25
Answer: y = 3x + 1
<u>Step-by-step explanation:</u>
The equation is in Slope-Intercept format: y = mx + b where
- m is the slope <em>(difference in y's over difference in x's)</em>
- b is the y-intercept <em>(value of y when x = 0)</em>

b = 1 <em>refer to the table that shows y = 1 when x = 0</em>
Now input m = 3 and b = 1 into the Slope-Intercept formula:
y = 3x + 1