Answer:
a. P=0.04
b. P=0.54
c. P=0.96
Step-by-step explanation:
If half of the college graduates are married, then we have:
- 21% are college graduates and married.
- 21% are college graduates and not married.
If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.
If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.
a) P=0.04 (explanation above)
b) P=0.54
c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.
P=1-0.04=0.96
Vera has 5 pairs of necklaces and wants to own 22 pairs. That means she needs to purchase 17 pairs at $1 per pair.
Vera needs to spend $17.
Answer:
The answer is 1898.625
Step-by-step explanation:
Multiply the swimming pool’s length by the width to find the area.
If you want to find the area of the children’s swimming pool, divide the answer by 2.
Answer:
The answer is "
".
Step-by-step explanation:
Pick a shirt first: 3 choices
Pick slacks next: 2 choices
Then choose a tie: 1 choice
Total: 
outfits.
These will be similarly divided between the two slacks, so 3 black slack outfits of 
. Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits 
To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add 
. Add , and remove the chance for both the black slack shirt and outfit and are one of the six outfits:
T=2π/|b|. The period of an equation of the form y = a sin bx is T=2π/|b|.
In mathematics the curve that graphically represents the sine function and also that function itself is called sinusoid or sinusoid. It is a curve that describes a repetitive and smooth oscillation. It can be represented as y(x) = a sin (ωx+φ) where a is the amplitude, ω is the angular velocity with ω=2πf, (ωx+φ) is the oscillation phase, and φ the initial phase.
The period T of the sin function is T=1/f, from the equation ω=2πf we can clear f and substitute in T=1/f.
f=ω/2π
Substituting in T=1/f:
T=1/ω/2π -------> T = 2π/ω
For the example y = a sin bx, we have that a is the amplitude, b is ω and the initial phase φ = 0. So, we have that the period T of the function a sin bx is:
T=2π/|b|
