Nicky's plan can be made into this equation y=25+0.15x
Mickey's plan can be made into this equation y=40+0.10x
to make y equal you have to solve out 25+0.15x=40+0.10x you can solve this further into .05x=15 and then into x=300.
Answer:
Step-by-step explanation:
Given
Required
An exponential function is:
implies that:
implies that:
Divide both equations
Apply law of indices
Take 9,5th root of both sides
So, we have:
f(12) is calculated as:
Answer:
lateral surface area of the triangular prism = 128 cm²
Step-by-step explanation:
The question is incomplete the picture below represents the complete question.
Lateral surface area of a triangular prism = PH
where
p = perimeter of the triangle
H = height of the prism
perimeter = 5 + 5 + 6 = 16 cm
height of the prism = 8 cm
Lateral surface area of a triangular prism = Perimeter of the triangle × height of the prism
lateral surface area of the triangular prism = 16 × 8
lateral surface area of the triangular prism = 128 cm²
Answer: The required probability is 0.1328.
Step-by-step explanation:
Since we have given that
n = 5
Probability of success = p = defective rate = 3% = 0.03
Probability of failure = q = 1-p = 1 - 0.03 = 0.97
So, we will use "Binomial distribution":
probability that the first defective occurs in the fifth item inspected would be
Hence, the required probability is 0.1328.