There are 10,000 total four-digit numbers (1000 through 9999).
Multiples of 2 end in 0, 2, 4, 6, and 8. There are 9*10*10*5 = 4500 four-digit multiples of 2.
Multiples of 5 end in 0 or 5. There are 9*10*10*2 = 1800 four-digit multiples of 5.
There is redundancy between the two sets of numbers, namely those that end in 0, which are both multiples of 2 and 5. There are 9*10*10*1 = 900 four-digit multiples of both 2 and 5.
Then there are 4500 + 1800 - 900 = 5400 total four-digit numbers that are either multiples of 2 or 5, which means the remaining 4600 numbers are neither multiples of 2 nor 5.
-18 - 30 = -48
The Scuba Diver is now 48 feet below sea level.
Answer:
The integral is equal to for an arbitrary constant C.
Step-by-step explanation:
a) If then so the integral becomes . (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case hence . We rewrite the integral as .
c) We use the trigonometric identity is part b). The value of the integral is . which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.
To find the probability of not having twins, we can subtract the probability of having twins from 1. This is because probabilities always add up to 1.
1 - 0.015 = 0.985
The probability of not having twins is 0.985.
Hope this helps!! :)
The answer is 75 degrees. These are supplementary angles so
180-105 = 75