Answer:
The surface area of the given pyramid is 112 
.
Step-by-step explanation:
Base length of the pyramid = 4 inches
Area of the base = 
= 
= 16
Area of its base = 16
Area of one of its triangular surface = 
x base x height
= x 4 x 12
= 2 x 12
= 24
Area of all its four triangular surfaces = 4 x 24
= 96
surface area of the pyramid = sum of areas of all its surfaces
= 16 + 96
= 112
The surface area of the given pyramid is 112 .
Answer:
The test statistics is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is 
The alternative hypothesis is 
The sample mean is 
The standard deviation is 
The level of significance is 
Generally the test statistics is mathematically represented as
=> 
=>
Answer:
14.52
Step-by-step explanation:
13.57 + 13.57 x 7% = 13.57 x (1+7/100) =13.57 x 107/100 = 14.52
Answer:
The probability that exactly one switch is good is
Step-by-step explanation:
The probability that a switch is defective is:
The probability that a switch is not defective is
Therefore, if two switches are selected, the probability that exactly 1 is good is:
3x+3 = x-1
2x+3 = -1 (subtracted x from both sides)
2x = -4 (subtracted 3 from both sides)
x = -2 (divided 2 from both sides).
