Answer:
g(x) = (x − 1)3 + 5 graph1
x
y
02
1
5
f(x) = x3 graph 2
x
y
−2
−8
−
1−1
0
0
1
1
28
Answer:
180 seconds
Step-by-step explanation:
1 minute = 60 seconds
120 * 3 = 360
60 * 3 = 180
Answer:
Step-by-step explanation:
Let us denote probability of spoilage as follows
Transformer spoilage = P( T ) ; line spoilage P ( L )
Both P ( T ∩ L ) .
Given
P( T ) = .05
P ( L ) = .08
P ( T ∩ L ) = .03
a )
For independent events
P ( T ∩ L ) = P( T ) x P ( L )
But .03 ≠ .05 x .08
So they are not independent of each other .
b )
i )
Probability of line spoilage given that there is transformer spoilage
P L/ T ) = P ( T ∩ L ) / P( T )
= .03 / .05
= 3 / 5 .
ii )
Probability of transformer spoilage but not line spoilage.
P( T ) - P ( T ∩ L )
.05 - .03
= .02
iii )Probability of transformer spoilage given that there is no line spoilage
[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )
= .02 / 1 - .08
= .02 / .92
= 1 / 49.
i v )
Neither transformer spoilage nor there is no line spoilage
= 1 - P ( T ∪ L )
1 - [ P( T ) + P ( L ) - P ( T ∩ L ]
= 1 - ( .05 + .08 - .03 )
= 0 .9
Your answer would be y = (-1/4)x - 1
Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.
This gives us:
-3 = (-1/4 × 8) + c
-3 = -8/4 + c
-3 = -2 + c
c = -1
So therefore the final answer is y = (-1/4)x - 1
I hope this helps!
Answer:
The surface area of square pyramid is 953.64 cm² .
Step-by-step explanation:
Given as for a square pyramid :
The height of pyramid = l = 15 cm
The base of square pyramid = x = 18 cm
Now,
The surface area of square Pyramid = 
or , The surface area of square Pyramid = 
Or, The surface area of square Pyramid = 
Or, The surface area of square Pyramid = 324 + 36 × 
or, The surface area of square Pyramid = 324 + 36 × 17.49
Or , The surface area of square Pyramid = 324 + 629.64 = 953.64 cm²
Hence The surface area of square pyramid is 953.64 cm² . Answer
