Answer:
0.0001
Step-by-step explanation:
The computation of the probability of experiencing such a drop in water pressure is shown below:
Given that
mean = 519,645 gallons
Standard deviation = 71,564 gallons
Now the probability is
= 1 - p (x - mean ÷ standard deviation < 782,238 - 519,645 ÷ 71,564)
= 1 - p(z<3.67)
= 1 - 0.9999
= 0.0001
The 3 inside angles of a triangle equal 180 degrees.
Angle 1 = 180 - 117 - 33 = 30
The answer is A. 30
Answer:
The values of a and b are:
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = ax+b
where
From the diagram of the line graph, we can fetch the two points
Determining the slope between (0, 2) and (-1, 0)




Thus, the value of a = 2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting a = 2 and b = 2 in the slope-intercept form of the line equation
y = ax+b
y = 2x + 2 ∵ a = 2 , b = 2
Thus, the line of equation is:
y = 2x+2
now comparing with y = ax+b
Here:
a = 2
b = 2
Therefore, the values of a and b are:
There are 6 faces to the prism:
2 each of (Length x Width): 2(4 x 4) = 2(16) = 32 m²
2 each of (Length x Heighth): 2(4 x 8) = 2(32) = 64 m²
2 each of (Width x Heighth): 2(4 x 8) = 2(32) = 64 m²
The sum of the faces is the Surface Area (S.A.)
32 m² + 64 m² + 64 m² = S.A.
160 m² = S.A.