Which of the following events has a probability of 75% or higher?
1 answer:
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Answer:
D. 2019
Step-by-step explanation:
So I started by rewriting the function f(x)
1000 = 10^3 so
f(x)=10^3 times 1.03^x
1.03 = 103/100 so
f(x)= 10^3 times (103/100)^x
to raise a fraction to a power you just raise the numerator and denominator to that power so
f(x)= 10^3 times 103^x/100^x
change it to exponential form with a base of 10
f(x)=10^3 times 103^x/10^2x
then you can reduce it with the 10^3
f(x)=103^x/10^2x-3
so now that thats in more of a standard form you can find the intersection of the two functions
which is at (9.012,1305.244)
x is the number of years after 2010, so they will be equal ~9 years after 2010, which is 2019.
Answer:
the force that must be applied by the driver to release the clutch is 21 lb
Step-by-step explanation:
Data provided:
clutch linkage on a vehicle has an overall advantage = 24:1
Applied force by the pressure plate = 504 lb
Now,
the advantage ratio is given as:
advantage ratio =
on substituting the respective values, we get
=
or
Force applied by the driver to release the clutch =
or
Force applied by the driver to release the clutch = 21 lb
Hence,
the force that must be applied by the driver to release the clutch is 21 lb
Answer:
can be written as
which is into the form
.
Step-by-step explanation:
Considering the expression
writing into the form of the equation
so
Here:
- a = 36.55x
- b = 53.44
Therefore, can be written as
which is into the form
.